# prompt_examples

example_id: lp_01K92BRABV1S94F667KP4AJZKA_01K92BRBE8Q92GEVWEKSDVEP5Q_CONTEMPLATIVE_QUESTION
skills: ["Analysing line graphs","Interpreting line graphs"]
skill_ids: ["kXHPPphFCyCCmh00X4Bf","zXEjLnpiNbErsudTfVrj"]
subtopics: ["Interpreting Basic Graphs"]
subtopic_ids: ["subtopic_01GTC0BCDG820AXCXCN166S5T2"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
context: Pickleball
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"A line graph shows the temperature each hour from 6 a.m. to 6 p.m. How could you explain what happened to the temperature throughout the day? What patterns or changes do you notice?","teacherTips":["Encourage students to describe increases, decreases, or steady parts of the graph.","Ask students to connect graph trends to real-world events, like sunrise or sunset.","Help students identify key points like the highest or lowest temperature."],"difficulty":"mild"}


example_id: lp_01K92BRABV1S94F667KP4AJZKA_01K92BRBE8Q92GEVWEM4ZCGG28_EXIT_TICKET
skills: ["Analysing line graphs","Interpreting line graphs"]
skill_ids: ["kXHPPphFCyCCmh00X4Bf","zXEjLnpiNbErsudTfVrj"]
subtopics: ["Interpreting Basic Graphs"]
subtopic_ids: ["subtopic_01GTC0BCDG820AXCXCN166S5T2"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
context: Pickleball
class_year: 4
country: US
period_number: 4
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$6$","question":"In a pickleball game, the line graph shows Sarah scored $2$ points in the first minute and $4$ points in the second minute. How many points did she score in total?"},{"answer":"$3$ \\, \\text{to} \\, 4 \\, \\text{minutes}","question":"A line graph shows Ben playing pickleball. He played for $5$ minutes, and his score was $1$, $3$, $6$, $6$, and $10$. When did his score stop increasing?"},{"answer":"$36$","question":"The line graph shows Emma scoring $2$, $4$, $6$, $10$, and $14$ points over $5$ minutes. How many points did she score altogether by the end?"}]}


example_id: lp_01K92BRABV1S94F667KP4AJZKA_01K92BRBE8Q92GEVWEK9HF7G8X_ACTIVITY
skills: ["Analysing line graphs","Interpreting line graphs"]
skill_ids: ["kXHPPphFCyCCmh00X4Bf","zXEjLnpiNbErsudTfVrj"]
subtopics: ["Interpreting Basic Graphs"]
subtopic_ids: ["subtopic_01GTC0BCDG820AXCXCN166S5T2"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
context: Pickleball
class_year: 4
country: US
period_number: 4
node_type: ACTIVITY
example_output_json:
{"header":"Weather Graph Detectives\nYour team is tracking a city's temperature changes over a week to find patterns.","scenario":"Steps\n1. Draw a table with days (Monday to Sunday) and temperatures (e.g., $68^\\circ$F, $70^\\circ$F).\n2. Plot the data as a line graph with days on the x-axis and temperature on the y-axis.\n3. Analyze the graph to identify trends (e.g., rising, falling, or steady temperatures).\n4. Discuss as a team what the graph tells you about the week's weather.\n5. Make a prediction for the temperature on the next Monday based on the trend.","steps":["Discussion\n• What patterns did you notice in the temperature changes?\n• How can line graphs help us make predictions?","Differentiation Opportunities\n• Support: Provide simpler data with fewer days and smaller temperature changes.\n• Extend: Add more data points and include two cities to compare trends."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K92BRXN5QC7Z147SP2613PM6_01K92BRZ6HDPE5MXV6QNNQN77E_CONTEMPLATIVE_QUESTION
skills: ["Interpreting line graphs","Analysing line graphs"]
skill_ids: ["zXEjLnpiNbErsudTfVrj","kXHPPphFCyCCmh00X4Bf"]
subtopics: ["Interpreting Basic Graphs"]
subtopic_ids: ["subtopic_01GTC0BCDG820AXCXCN166S5T2"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"A line graph shows temperatures rising and falling over a week. How could you use the graph to decide the best day for a picnic? What factors might you consider, and how could changes in the graph affect your choice?","teacherTips":["Analyze steady or warm trends in the graph. Check for sudden drops or rises affecting the picnic day."],"difficulty":"spicy"}


example_id: lp_01K92BRXN5QC7Z147SP2613PM6_01K92BRZ6HDPE5MXV6QGAWCND7_MULTIPLE_CHOICE_QUESTION
skills: ["Interpreting line graphs","Analysing line graphs"]
skill_ids: ["zXEjLnpiNbErsudTfVrj","kXHPPphFCyCCmh00X4Bf"]
subtopics: ["Interpreting Basic Graphs"]
subtopic_ids: ["subtopic_01GTC0BCDG820AXCXCN166S5T2"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"A line graph shows the temperature rising from $50^\\circ$F to $70^\\circ$F over $2$ hours. What is the total increase in temperature?","answerOptions":["$10^\\circ$F","$20^\\circ$F","$30^\\circ$F","$40^\\circ$F"],"answer":"$20^\\circ$F","difficulty":"mild"}


example_id: lp_01K92BRXN5QC7Z147SP2613PM6_01K92BRZ6HDPE5MXV6RFBWSPPW_MULTIPLE_CHOICE_QUESTION
skills: ["Interpreting line graphs","Analysing line graphs"]
skill_ids: ["zXEjLnpiNbErsudTfVrj","kXHPPphFCyCCmh00X4Bf"]
subtopics: ["Interpreting Basic Graphs"]
subtopic_ids: ["subtopic_01GTC0BCDG820AXCXCN166S5T2"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"A line graph shows the temperature rising from $50^\\circ$F to $70^\\circ$F between 2 pm and 4 pm. How much did the temperature increase?","answerOptions":["$10^\\circ$F","$15^\\circ$F","$20^\\circ$F","$25^\\circ$F"],"answer":"$20^\\circ$F","difficulty":"mild"}


example_id: lp_01K92BRXN5QC7Z147SP2613PM6_01K92BRZ6HDPE5MXV6RMDF3A8Y_CONTEMPLATIVE_QUESTION
skills: ["Interpreting line graphs","Analysing line graphs"]
skill_ids: ["zXEjLnpiNbErsudTfVrj","kXHPPphFCyCCmh00X4Bf"]
subtopics: ["Interpreting Basic Graphs"]
subtopic_ids: ["subtopic_01GTC0BCDG820AXCXCN166S5T2"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"A line graph shows temperatures over a week. How would you describe the changes? What can you infer?","teacherTips":["Look for trends: rising or falling lines show warming or cooling, flat lines show steady temperatures."],"difficulty":"hot"}


example_id: lp_01K92BRXN5QC7Z147SP2613PM6_01K92BRZ6HDPE5MXV6RAGVRJDE_MULTIPLE_CHOICE_QUESTION
skills: ["Interpreting line graphs","Analysing line graphs"]
skill_ids: ["zXEjLnpiNbErsudTfVrj","kXHPPphFCyCCmh00X4Bf"]
subtopics: ["Interpreting Basic Graphs"]
subtopic_ids: ["subtopic_01GTC0BCDG820AXCXCN166S5T2"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"A line graph shows a temperature of $50^\\circ$F at 9 AM and $60^\\circ$F at 11 AM. What is the temperature change?","answerOptions":["$10^\\circ$F","$20^\\circ$F","$50^\\circ$F","$60^\\circ$F"],"answer":"$10^\\circ$F","difficulty":"mild"}


example_id: lp_01K92BRXN5QC7Z147SP2613PM6_01K92BRYNT8M7D6GP12599ZNMN_SCAFFOLDED_QUESTION
skills: ["Interpreting line graphs","Analysing line graphs"]
skill_ids: ["zXEjLnpiNbErsudTfVrj","kXHPPphFCyCCmh00X4Bf"]
subtopics: ["Interpreting Basic Graphs"]
subtopic_ids: ["subtopic_01GTC0BCDG820AXCXCN166S5T2"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this activity, you will learn how to interpret line graphs. Line graphs show changes over time using points connected by lines.","questions":[{"answer":"The trend is increasing.","question":"If a line graph shows the temperature at $12$ PM as $25^\\circ$F, what is the temperature at $12$ PM?"},{"answer":"$15^\\circ$F","question":"If the temperature was $25^\\circ$F at $12$ PM and $30^\\circ$F at $1$ PM, what is the change in temperature?"},{"answer":"$20^\\circ$F","question":"Between $12$ PM and $2$ PM, the temperature increased from $25^\\circ$F to $35^\\circ$F. How would you describe the trend?"}],"difficulty":"enabling"}


example_id: lp_01K92BRXN5QC7Z147SP2613PM6_01K92BRYNT8M7D6GP127B0PHPF_SCAFFOLDED_QUESTION
skills: ["Interpreting line graphs","Analysing line graphs"]
skill_ids: ["zXEjLnpiNbErsudTfVrj","kXHPPphFCyCCmh00X4Bf"]
subtopics: ["Interpreting Basic Graphs"]
subtopic_ids: ["subtopic_01GTC0BCDG820AXCXCN166S5T2"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Interpret a scenario involving temperature changes over time using a line graph.","questions":[{"answer":"Answers will vary but should involve reasoning about daily temperature patterns.","question":"The temperature at 8 AM was $50^\\circ$F. By 12 PM, it rose to $70^\\circ$F, and by 4 PM, it dropped to $60^\\circ$F. What was the overall change?"},{"answer":"$10^\\circ$F","question":"From 8 AM to 12 PM, the temperature rose from $50^\\circ$F to $70^\\circ$F. What was the average rate of change in temperature per hour?"},{"answer":"$5^\\circ$F per hour","question":"Explain why the temperature changes described above might represent a typical daily pattern. Consider how morning, midday, and afternoon temperatures behave."}],"difficulty":"extension"}


example_id: lp_01K92C0B6W1RTM3RHZ7ZNWWM14_01K92C0C2K1K2ER2TP50KS7HEK_APPLICATION
skill_ids: ["okepgutOFcgIuccrYb48","01JZA199258XMG627NA7RDSNTE","ZTceJtmt6fvdFpWWOKTA"]
subtopics: ["Angles"]
subtopic_ids: ["subtopic_01GTC0BPXV2NAHQJEBWQMN8DT9"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
context: Halloween
class_year: 4
country: US
period_number: 4
node_type: APPLICATION
example_output_json:
{"title":"Angles in Pumpkin Carving","example1Header":"Situation\nPumpkin artists create unique designs for Halloween by carefully cutting different shapes into pumpkins. They use angles to plan and carve precise designs like stars, triangles, and zigzags.","example1Body":"Example\nPumpkin artists check angles for balance. For a five-pointed star design, if each angle is $60^\\circ$, the design is balanced and symmetrical. Angles guide precise carving.","example2Header":"","example2Body":""}

skills:
["Understanding what an angle is","Measuring the degrees of an angle using a protractor","Naming angles using standard conventions"]


example_id: lp_01K92C0B6W1RTM3RHZ7ZNWWM14_01K92C0C2K1K2ER2TP5TRCABMJ_THOUGHT_SPARKER
skill_ids: ["okepgutOFcgIuccrYb48","01JZA199258XMG627NA7RDSNTE","ZTceJtmt6fvdFpWWOKTA"]
subtopics: ["Angles"]
subtopic_ids: ["subtopic_01GTC0BPXV2NAHQJEBWQMN8DT9"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
context: Halloween
class_year: 4
country: US
period_number: 4
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"A jack-o'-lantern has triangle-shaped eyes, and the top angle of each triangle is $60^\\circ$, while the bottom two angles are each $60^\\circ$ as well.","firstSentence":"How would you measure and name the top angle of one triangle eye using a protractor?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Demonstrate how to align the protractor correctly with one side of the angle.","Discuss the naming of angles using their vertex and points on their arms.","Encourage students to explain how they know their measurement is accurate."]}

skills:
["Understanding what an angle is","Measuring the degrees of an angle using a protractor","Naming angles using standard conventions"]


example_id: lp_01K92C0B6W1RTM3RHZ7ZNWWM14_01K92C0C2K1K2ER2TP5YY8HRDM_EXIT_TICKET
skill_ids: ["okepgutOFcgIuccrYb48","01JZA199258XMG627NA7RDSNTE","ZTceJtmt6fvdFpWWOKTA"]
subtopics: ["Angles"]
subtopic_ids: ["subtopic_01GTC0BPXV2NAHQJEBWQMN8DT9"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
context: Halloween
class_year: 4
country: US
period_number: 4
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"Yes","question":"On Halloween, a witch's broom crosses her staff to make an angle. Is the space between the broom and the staff called an angle?"},{"answer":"$B$","question":"A jack-o'-lantern has a triangle mouth with angle $ABC$. Which point is the vertex of angle $ABC$?"},{"answer":"Obtuse angle","question":"A bat decoration on Halloween has wings forming an angle. If measured with a protractor, the angle is $120^\\circ$. What type of angle is this?"}]}

skills:
["Understanding what an angle is","Measuring the degrees of an angle using a protractor","Naming angles using standard conventions"]


example_id: lp_01K92C0B6W1RTM3RHZ7ZNWWM14_01K92C0C2K1K2ER2TP5MC5VG7C_CONTEMPLATIVE_QUESTION
skill_ids: ["okepgutOFcgIuccrYb48","01JZA199258XMG627NA7RDSNTE","ZTceJtmt6fvdFpWWOKTA"]
subtopics: ["Angles"]
subtopic_ids: ["subtopic_01GTC0BPXV2NAHQJEBWQMN8DT9"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
context: Halloween
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"Draw a triangle and measure each angle using a protractor. What do you notice about the total degrees?","teacherTips":["Guide students on placing the protractor correctly at the angle vertex.","Remind them to read the correct scale on the protractor.","Discuss the sum of angles in a triangle and its significance."],"difficulty":"mild"}


example_id: lp_01K92C0B6W1RTM3RHZ7ZNWWM14_01K92C0C2K1K2ER2TP5590SB2N_ACTIVITY
skill_ids: ["okepgutOFcgIuccrYb48","01JZA199258XMG627NA7RDSNTE","ZTceJtmt6fvdFpWWOKTA"]
subtopics: ["Angles"]
subtopic_ids: ["subtopic_01GTC0BPXV2NAHQJEBWQMN8DT9"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
context: Halloween
class_year: 4
country: US
period_number: 4
node_type: ACTIVITY
example_output_json:
{"header":"Clock Angle Challenge\nYour team is designing a clock! Measure and name angles on the clock face to ensure it’s accurate.","scenario":"Steps\n1. Draw a large circle on paper and mark the center.\n2. Use a ruler to draw $12$ lines from the center to the edge for the hours.\n3. Measure the angle between each pair of lines using a protractor.\n4. Name each angle (e.g., $\\angle A$, $\\angle B$) and write the degrees inside the circle.\n5. Compare your clock angles with another team’s design!","steps":["Discussion\n• Why are the angles between the clock hours equal?\n• What happens if you change the number of hours on the clock?","Differentiation Opportunities\n• Support: Focus on measuring and naming only $4$ angles (e.g., $0^\\circ$, $90^\\circ$, $180^\\circ$, $270^\\circ$).\n• Extend: Design a clock with $24$ hours and calculate the new angles."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K92C0YY5BEN42VJ223B8TDBA_01K92C0ZQE685728FVCWQFBF3Q_SCAFFOLDED_QUESTION
skill_ids: ["01JZA199258XMG627NA7RDSNTE","ZTceJtmt6fvdFpWWOKTA","okepgutOFcgIuccrYb48"]
subtopics: ["Angles"]
subtopic_ids: ["subtopic_01GTC0BPXV2NAHQJEBWQMN8DT9"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore angles: measure degrees, name angles correctly, and deepen your understanding of what an angle truly represents.","questions":[{"answer":"They form a straight line and sum to $180^\\circ$.","question":"An angle is labeled $\\angle ABC$ with $B$ as the vertex. The measure of $\\angle ABC$ is $135^\\circ$. What kind of angle is it?"},{"answer":"Obtuse angle","question":"If $\\angle XYZ = 90^\\circ$ and $\\angle WYZ = 45^\\circ$, what is the measure of $\\angle WYX$?"},{"answer":"$135^\\circ$","question":"Two angles, $\\angle PQR$ and $\\angle RQS$, are adjacent and sum up to $180^\\circ$. Explain why this makes them supplementary, using your understanding of angles."}],"difficulty":"extension"}

skills:
["Measuring the degrees of an angle using a protractor","Naming angles using standard conventions","Understanding what an angle is"]


example_id: lp_01K92C0YY5BEN42VJ223B8TDBA_01K92C0ZQE685728FVCR1KH9WG_SCAFFOLDED_QUESTION
skill_ids: ["01JZA199258XMG627NA7RDSNTE","ZTceJtmt6fvdFpWWOKTA","okepgutOFcgIuccrYb48"]
subtopics: ["Angles"]
subtopic_ids: ["subtopic_01GTC0BPXV2NAHQJEBWQMN8DT9"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn about angles, how to name them, and how to measure their degrees using a protractor.","questions":[{"answer":"Align, read the scale","question":"What is an angle?\nHint: An angle is formed when two lines meet at a point."},{"answer":"A shape with four sides","question":"How do we name an angle like $\\angle ABC$?\nHint: The middle letter is always the vertex where the two lines meet."},{"answer":"Where two lines meet","question":"How do you measure an angle using a protractor?\nHint: Align one line with the protractor's baseline and read the degree where the other line crosses."}],"difficulty":"enabling"}

skills:
["Measuring the degrees of an angle using a protractor","Naming angles using standard conventions","Understanding what an angle is"]


example_id: lp_01K92C0YY5BEN42VJ223B8TDBA_01K92C107RJ1GXF9YMJQS7QV4K_MULTIPLE_CHOICE_QUESTION
skill_ids: ["01JZA199258XMG627NA7RDSNTE","ZTceJtmt6fvdFpWWOKTA","okepgutOFcgIuccrYb48"]
subtopics: ["Angles"]
subtopic_ids: ["subtopic_01GTC0BPXV2NAHQJEBWQMN8DT9"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"How many letters are typically used to name an angle when following standard conventions?","answerOptions":["One letter","Two letters","Three letters","Four letters"],"answer":"Three letters","difficulty":"hot"}

skills:
["Measuring the degrees of an angle using a protractor","Naming angles using standard conventions","Understanding what an angle is"]


example_id: lp_01K92C0YY5BEN42VJ223B8TDBA_01K92C107RJ1GXF9YMJYCDGZTW_MULTIPLE_CHOICE_QUESTION
skill_ids: ["01JZA199258XMG627NA7RDSNTE","ZTceJtmt6fvdFpWWOKTA","okepgutOFcgIuccrYb48"]
subtopics: ["Angles"]
subtopic_ids: ["subtopic_01GTC0BPXV2NAHQJEBWQMN8DT9"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: spicy
example_output_json:
{"question":"An angle is labeled with points $A$, $B$, and $C$, where $B$ is the vertex. How should this angle be named?","answerOptions":["$ABC$","$CBA$","$\\angle B$","$\\angle ABC$"],"answer":"$\\angle ABC$","difficulty":"spicy"}


example_id: lp_01K92C0YY5BEN42VJ223B8TDBA_01K92C107Q2WXPSEW7E0D54VTD_MULTIPLE_CHOICE_QUESTION
skill_ids: ["01JZA199258XMG627NA7RDSNTE","ZTceJtmt6fvdFpWWOKTA","okepgutOFcgIuccrYb48"]
subtopics: ["Angles"]
subtopic_ids: ["subtopic_01GTC0BPXV2NAHQJEBWQMN8DT9"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is the measure of a right angle?","answerOptions":["$45^\\circ$","$90^\\circ$","$180^\\circ$","$360^\\circ$"],"answer":"$90^\\circ$","difficulty":"mild"}


example_id: lp_01K92C0YY5BEN42VJ223B8TDBA_01K92C107Q2WXPSEW7E5RSHK2T_CONTEMPLATIVE_QUESTION
skill_ids: ["01JZA199258XMG627NA7RDSNTE","ZTceJtmt6fvdFpWWOKTA","okepgutOFcgIuccrYb48"]
subtopics: ["Angles"]
subtopic_ids: ["subtopic_01GTC0BPXV2NAHQJEBWQMN8DT9"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"How many angles can you find in your classroom? How would you describe each angle you find?","teacherTips":["An angle is formed when two lines meet at a point. Angles can be acute, right, or obtuse."],"difficulty":"hot"}


example_id: lp_01K92C672BF27WQ9FY5PM9Y2QN_01K92C68FH0CWK8J6RGTDZJFQX_MULTIPLE_CHOICE_QUESTION
skills: ["Measuring the degrees of an angle using a protractor"]
skill_ids: ["01JZA199258XMG627NA7RDSNTE"]
subtopics: ["Angles"]
subtopic_ids: ["subtopic_01GTC0BPXV2NAHQJEBWQMN8DT9"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"An angle is measured using a protractor and is exactly halfway between $60^\\circ$ and $90^\\circ$. What is the measure of the angle?","answerOptions":["$65^\\circ$","$70^\\circ$","$75^\\circ$","$80^\\circ$"],"answer":"$75^\\circ$","difficulty":"mild"}


example_id: lp_01K92C672BF27WQ9FY5PM9Y2QN_01K92C68FH0CWK8J6RGNC8K9D2_MULTIPLE_CHOICE_QUESTION
skills: ["Measuring the degrees of an angle using a protractor"]
skill_ids: ["01JZA199258XMG627NA7RDSNTE"]
subtopics: ["Angles"]
subtopic_ids: ["subtopic_01GTC0BPXV2NAHQJEBWQMN8DT9"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"If an angle measures exactly halfway between $90^\\circ$ and $180^\\circ$, what is its measure?","answerOptions":["$120^\\circ$","$135^\\circ$","$150^\\circ$","$160^\\circ$"],"answer":"$135^\\circ$","difficulty":"mild"}


example_id: lp_01K92C672BF27WQ9FY5PM9Y2QN_01K92C68FH0CWK8J6RH6X7Z028_CONTEMPLATIVE_QUESTION
skills: ["Measuring the degrees of an angle using a protractor"]
skill_ids: ["01JZA199258XMG627NA7RDSNTE"]
subtopics: ["Angles"]
subtopic_ids: ["subtopic_01GTC0BPXV2NAHQJEBWQMN8DT9"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"Create a treasure map where the path turns at angles you measure with a protractor. How do the angles you choose affect where the treasure ends up? Explain your reasoning.","teacherTips":["Angles determine direction changes. Sum of angles affects the shape and end position of the path."],"difficulty":"spicy"}


example_id: lp_01K92C672BF27WQ9FY5PM9Y2QN_01K92C68FH0CWK8J6RGKVRFTDX_MULTIPLE_CHOICE_QUESTION
skills: ["Measuring the degrees of an angle using a protractor"]
skill_ids: ["01JZA199258XMG627NA7RDSNTE"]
subtopics: ["Angles"]
subtopic_ids: ["subtopic_01GTC0BPXV2NAHQJEBWQMN8DT9"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"An angle measures $90^\\circ$. What type of angle is it?","answerOptions":["Acute angle","Right angle","Obtuse angle","Straight angle"],"answer":"Right angle","difficulty":"mild"}


example_id: lp_01K92C672BF27WQ9FY5PM9Y2QN_01K92C68FH0CWK8J6RH1S8EK7P_CONTEMPLATIVE_QUESTION
skills: ["Measuring the degrees of an angle using a protractor"]
skill_ids: ["01JZA199258XMG627NA7RDSNTE"]
subtopics: ["Angles"]
subtopic_ids: ["subtopic_01GTC0BPXV2NAHQJEBWQMN8DT9"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"You are designing a clock face. How would you measure angles to ensure all $12$ hours are evenly spaced?","teacherTips":["Each hour marks $30^\\circ$ ($360^\\circ \\div 12 = 30^\\circ$). Measure each with a protractor."],"difficulty":"hot"}


example_id: lp_01K92C672BF27WQ9FY5PM9Y2QN_01K92C67YPWBT60BW1ZV2Y627E_SCAFFOLDED_QUESTION
skills: ["Measuring the degrees of an angle using a protractor"]
skill_ids: ["01JZA199258XMG627NA7RDSNTE"]
subtopics: ["Angles"]
subtopic_ids: ["subtopic_01GTC0BPXV2NAHQJEBWQMN8DT9"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn how to measure angles using a protractor. Angles are measured in degrees, and a protractor helps you find this measurement.","questions":[{"answer":"Obtuse angle, around $120^\\circ$","question":"What unit is used to measure angles?"},{"answer":"Meters","question":"If an angle forms a perfect L-shape, what is its measurement?"},{"answer":"Degrees","question":"An angle is wider than $90^\\circ$ but less than $180^\\circ$. What type of angle is it, and could you estimate its measurement in degrees?"}],"difficulty":"enabling"}


example_id: lp_01K92C672BF27WQ9FY5PM9Y2QN_01K92C67YPWBT60BW200VG1VE9_SCAFFOLDED_QUESTION
skills: ["Measuring the degrees of an angle using a protractor"]
skill_ids: ["01JZA199258XMG627NA7RDSNTE"]
subtopics: ["Angles"]
subtopic_ids: ["subtopic_01GTC0BPXV2NAHQJEBWQMN8DT9"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore advanced reasoning about angles and their measures using a protractor.","questions":[{"answer":"Students must explain using angle sum and proportional reasoning.","question":"Two angles are adjacent on a straight line. One measures $68^\\circ$. What is the measure of the other angle?"},{"answer":"$112^\\circ$","question":"Three angles share a common vertex and form a straight line. Two of the angles measure $45^\\circ$ and $72^\\circ$. What is the measure of the third angle?"},{"answer":"$63^\\circ$","question":"A triangle has angles measuring $50^\\circ$, $x$, and $y$. Angle $x$ is twice the size of angle $y$. Explain how to determine the measures of $x$ and $y$."}],"difficulty":"extension"}


example_id: lp_01K92C9989HE2MTKJVF3Y8SV1C_01K92C9A7AHYJVTRHY11TXC2A5_APPLICATION
skills: ["Measuring the degrees of an angle using a protractor"]
skill_ids: ["01JZA199258XMG627NA7RDSNTE"]
subtopics: ["Angles"]
subtopic_ids: ["subtopic_01GTC0BPXV2NAHQJEBWQMN8DT9"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
context: Sharks
class_year: 4
country: US
period_number: 4
node_type: APPLICATION
example_output_json:
{"title":"Measuring Angles to Track Shark Movements","example1Header":"Situation\nMarine biologists study shark movements by tracking the angles of their swimming patterns. This helps them understand how sharks navigate and hunt in the ocean.","example1Body":"Example\nMarine biologists measure a shark's $70^\\circ$ left turn and $110^\\circ$ right turn using a protractor. Accurate angles help track its swimming route.","example2Header":"","example2Body":""}


example_id: lp_01K92C9989HE2MTKJVF3Y8SV1C_01K92C9A7AHYJVTRHY1NRHKPZ8_THOUGHT_SPARKER
skills: ["Measuring the degrees of an angle using a protractor"]
skill_ids: ["01JZA199258XMG627NA7RDSNTE"]
subtopics: ["Angles"]
subtopic_ids: ["subtopic_01GTC0BPXV2NAHQJEBWQMN8DT9"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
context: Sharks
class_year: 4
country: US
period_number: 4
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"A shark's tail fin moves at an angle of $50^\\circ$ to the left and $60^\\circ$ to the right from its resting position.","firstSentence":"What could you learn about the shark's swimming pattern by measuring these angles with a protractor?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Provide students with diagrams of the shark's tail fin at various angles to practice measuring.","Discuss the importance of accuracy in angle measurement and how it relates to understanding movement.","Encourage students to think about how the angles might change in different swimming scenarios, like quick turns or straight paths."]}


example_id: lp_01K92C9989HE2MTKJVF3Y8SV1C_01K92C9A7AHYJVTRHY1K1HTSVB_CONTEMPLATIVE_QUESTION
skills: ["Measuring the degrees of an angle using a protractor"]
skill_ids: ["01JZA199258XMG627NA7RDSNTE"]
subtopics: ["Angles"]
subtopic_ids: ["subtopic_01GTC0BPXV2NAHQJEBWQMN8DT9"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
context: Sharks
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You are designing a park. Draw three paths meeting at one point. Measure and label their angles using a protractor. How would you check if the angles add up to $360^\\circ$? Explain your strategy.","teacherTips":["Guide students to use a protractor accurately to measure angles.","Discuss how the angles around a single point add up to $360^\\circ$.","Encourage students to verify their measurements and calculations."],"difficulty":"mild"}


example_id: lp_01K92C9989HE2MTKJVF3Y8SV1C_01K92C9A7AHYJVTRHY15ZMB71P_ACTIVITY
skills: ["Measuring the degrees of an angle using a protractor"]
skill_ids: ["01JZA199258XMG627NA7RDSNTE"]
subtopics: ["Angles"]
subtopic_ids: ["subtopic_01GTC0BPXV2NAHQJEBWQMN8DT9"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
context: Sharks
class_year: 4
country: US
period_number: 4
node_type: ACTIVITY
example_output_json:
{"header":"Clock Angle Challenge\nYour team is solving a clock mystery—measure angles between clock hands to win!","scenario":"Steps\n1. Draw a clock face with numbers and hands on your paper.\n2. Place the clock hands at $3$ different times of your choice.\n3. Use a protractor to measure the angles between the hands at each time.\n4. Classify each angle as acute, right, or obtuse.\n5. The team with the most correct measurements and classifications wins!","steps":["Discussion\n• What happens to the angle when the hands move closer together?\n• Why does the hour hand create smaller angles than the minute hand?","Differentiation Opportunities\n• Support: Work with just two times and focus on right angles only.\n• Extend: Try measuring angles for times like $10:15$ or $7:30$ for extra challenge."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K92C9989HE2MTKJVF3Y8SV1C_01K92C9A7AHYJVTRHY1VKFGAZ4_EXIT_TICKET
skills: ["Measuring the degrees of an angle using a protractor"]
skill_ids: ["01JZA199258XMG627NA7RDSNTE"]
subtopics: ["Angles"]
subtopic_ids: ["subtopic_01GTC0BPXV2NAHQJEBWQMN8DT9"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
context: Sharks
class_year: 4
country: US
period_number: 4
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"Right angle","question":"A shark fin forms an angle of $90^\\circ$. What type of angle is this?"},{"answer":"$90^\\circ$","question":"A shark swims in a circle, turning $45^\\circ$ at each point. If it makes $2$ turns, what is the total angle it turns?"},{"answer":"$60^\\circ$","question":"A shark's triangular dorsal fin has one angle measuring $50^\\circ$ and another measuring $70^\\circ$. What is the measure of the third angle?"}]}


example_id: lp_01K92CGF8KEZDAVTWYBJM1WK17_01K92CGG5NB00T99CNJDFTAYAS_APPLICATION
skill_ids: ["bHjhBjEZPCgueX8D0BpR","A9DjPz8IN1vpL2RSuMcM"]
subtopics: ["Classifying Angles"]
subtopic_ids: ["subtopic_01GTC0BAC0NMKXM043SD8M1AXA"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
context: Golf
class_year: 4
country: US
period_number: 4
node_type: APPLICATION
example_output_json:
{"title":"Angles in Golf Swing Analysis","example1Header":"Situation\nGolf coaches analyze players' swings by measuring angles between their arms, legs, and the ground. Correct angles improve distance and accuracy.","example1Body":"Example\nA golfer's arm is $65^\\circ$ above vertical. The complementary angle is $90^\\circ - 65^\\circ = 25^\\circ$, and the supplementary angle is $180^\\circ - 65^\\circ = 115^\\circ$.","example2Header":"","example2Body":""}

skills:
["Understanding corresponding angles in transversals","Defining complementary and supplementary angles"]


example_id: lp_01K92CGF8KEZDAVTWYBJM1WK17_01K92CGG5NB00T99CNK4Q90NA5_THOUGHT_SPARKER
skill_ids: ["bHjhBjEZPCgueX8D0BpR","A9DjPz8IN1vpL2RSuMcM"]
subtopics: ["Classifying Angles"]
subtopic_ids: ["subtopic_01GTC0BAC0NMKXM043SD8M1AXA"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
context: Golf
class_year: 4
country: US
period_number: 4
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"On a mini-golf course, a ball bounces off a wall at an angle of $65^\\circ$, and the angle between the wall and the next bounce is $25^\\circ$.","firstSentence":"How could you explain whether these angles are complementary, supplementary, or neither?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Review the definitions of complementary and supplementary angles before introducing the scenario.","Use diagrams of the mini-golf course to help students visualize the angles.","Encourage students to reason through their answers by calculating the sums of the angles."]}

skills:
["Understanding corresponding angles in transversals","Defining complementary and supplementary angles"]


example_id: lp_01K92CGF8KEZDAVTWYBJM1WK17_01K92CGG5NB00T99CNK7HYWV2D_EXIT_TICKET
skill_ids: ["bHjhBjEZPCgueX8D0BpR","A9DjPz8IN1vpL2RSuMcM"]
subtopics: ["Classifying Angles"]
subtopic_ids: ["subtopic_01GTC0BAC0NMKXM043SD8M1AXA"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
context: Golf
class_year: 4
country: US
period_number: 4
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"Yes","question":"A golfer swings at a ball, creating angles of $40^\\circ$ and $50^\\circ$ in a triangle. Are these angles complementary?"},{"answer":"$65^\\circ$","question":"On a golf course, two parallel paths are crossed by a bridge. If one angle formed is $65^\\circ$, what is the measure of the corresponding angle?"},{"answer":"$60^\\circ$","question":"A golfer places a flagstick, forming angles of $120^\\circ$ and $x^\\circ$. If they are supplementary, what is $x$?"}]}

skills:
["Understanding corresponding angles in transversals","Defining complementary and supplementary angles"]


example_id: lp_01K92CGF8KEZDAVTWYBJM1WK17_01K92CGG5NB00T99CNJZQECZ6T_CONTEMPLATIVE_QUESTION
skill_ids: ["bHjhBjEZPCgueX8D0BpR","A9DjPz8IN1vpL2RSuMcM"]
subtopics: ["Classifying Angles"]
subtopic_ids: ["subtopic_01GTC0BAC0NMKXM043SD8M1AXA"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
context: Golf
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"Draw two parallel lines with a transversal. What are examples of complementary, supplementary, and corresponding angles? How could you explain their relationships?","teacherTips":["Guide students to label angles clearly on their diagram.","Encourage identifying pairs of angles and their sums.","Discuss how parallel lines and transversals create patterns."],"difficulty":"mild"}


example_id: lp_01K92CGF8KEZDAVTWYBJM1WK17_01K92CGG5NB00T99CNJKF81NCV_ACTIVITY
skill_ids: ["bHjhBjEZPCgueX8D0BpR","A9DjPz8IN1vpL2RSuMcM"]
subtopics: ["Classifying Angles"]
subtopic_ids: ["subtopic_01GTC0BAC0NMKXM043SD8M1AXA"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
context: Golf
class_year: 4
country: US
period_number: 4
node_type: ACTIVITY
example_output_json:
{"header":"Street Angle Challenge\nDesign a street map and explore angles formed by intersections!","scenario":"Steps\n1. On paper, draw 2 parallel streets and 1 transversal crossing them.\n2. Label all angles at the intersections (e.g., $1$, $2$, $3$...).\n3. Identify and label complementary and supplementary angle pairs.\n4. Mark corresponding angles and explain why they are equal.\n5. Share your findings with your team and compare your answers.","steps":["Discussion\n• How do you know if two angles are supplementary?\n• Why are corresponding angles always equal on parallel lines?","Differentiation Opportunities\n• Support: Provide examples of complementary and supplementary angles for reference.\n• Extend: Add a second transversal and identify new angle relationships."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K92CH0VA5G7705B8Q1PC5YV2_01K92CH2903F8TJ9QS9T9GGB9R_CONTEMPLATIVE_QUESTION
skill_ids: ["A9DjPz8IN1vpL2RSuMcM","bHjhBjEZPCgueX8D0BpR"]
subtopics: ["Classifying Angles"]
subtopic_ids: ["subtopic_01GTC0BAC0NMKXM043SD8M1AXA"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You have an angle of $40^\\circ$. How could you use complementary and supplementary angles to find angles that add up to $90^\\circ$ and $180^\\circ$?","teacherTips":["A complementary angle is $90^\\circ - 40^\\circ = 50^\\circ$. A supplementary angle is $180^\\circ - 40^\\circ = 140^\\circ$."],"difficulty":"mild"}

skills:
["Defining complementary and supplementary angles","Understanding corresponding angles in transversals"]


example_id: lp_01K92CH0VA5G7705B8Q1PC5YV2_01K92CH2903F8TJ9QS9NZ45MX9_MULTIPLE_CHOICE_QUESTION
skill_ids: ["A9DjPz8IN1vpL2RSuMcM","bHjhBjEZPCgueX8D0BpR"]
subtopics: ["Classifying Angles"]
subtopic_ids: ["subtopic_01GTC0BAC0NMKXM043SD8M1AXA"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is the sum of two complementary angles?","answerOptions":["$45^\\circ$","$90^\\circ$","$180^\\circ$","$360^\\circ$"],"answer":"$90^\\circ$","difficulty":"mild"}

skills:
["Defining complementary and supplementary angles","Understanding corresponding angles in transversals"]


example_id: lp_01K92CH0VA5G7705B8Q1PC5YV2_01K92CH2903F8TJ9QSAB6TGCR5_MULTIPLE_CHOICE_QUESTION
skill_ids: ["A9DjPz8IN1vpL2RSuMcM","bHjhBjEZPCgueX8D0BpR"]
subtopics: ["Classifying Angles"]
subtopic_ids: ["subtopic_01GTC0BAC0NMKXM043SD8M1AXA"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"When a transversal intersects parallel lines, the corresponding angles are always $[?]$.","answerOptions":["Equal","Acute","Supplementary","Obtuse"],"answer":"Equal","difficulty":"mild"}

skills:
["Defining complementary and supplementary angles","Understanding corresponding angles in transversals"]


example_id: lp_01K92CH0VA5G7705B8Q1PC5YV2_01K92CH2903F8TJ9QSAFZ38HA0_MULTIPLE_CHOICE_QUESTION
skill_ids: ["A9DjPz8IN1vpL2RSuMcM","bHjhBjEZPCgueX8D0BpR"]
subtopics: ["Classifying Angles"]
subtopic_ids: ["subtopic_01GTC0BAC0NMKXM043SD8M1AXA"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What are corresponding angles?","answerOptions":["Angles that are equal and in matching corners of intersections","Angles that add up to $180^\\circ$","Angles that are next to each other on a line","Angles that are opposite each other and equal"],"answer":"Angles that are equal and in matching corners of intersections","difficulty":"mild"}


example_id: lp_01K92CH0VA5G7705B8Q1PC5YV2_01K92CH2903F8TJ9QSAM3CSFBC_CONTEMPLATIVE_QUESTION
skill_ids: ["A9DjPz8IN1vpL2RSuMcM","bHjhBjEZPCgueX8D0BpR"]
subtopics: ["Classifying Angles"]
subtopic_ids: ["subtopic_01GTC0BAC0NMKXM043SD8M1AXA"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"A road crosses two parallel streets. How could you use corresponding angles to find unknown angle measures?","teacherTips":["Corresponding angles are equal when a transversal crosses parallel lines, so missing angles can be found."],"difficulty":"hot"}


example_id: lp_01K92CH0VA5G7705B8Q1PC5YV2_01K92CH1SENFG3A9PHKWP3ZS55_SCAFFOLDED_QUESTION
skill_ids: ["A9DjPz8IN1vpL2RSuMcM","bHjhBjEZPCgueX8D0BpR"]
subtopics: ["Classifying Angles"]
subtopic_ids: ["subtopic_01GTC0BAC0NMKXM043SD8M1AXA"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore angles: complementary, supplementary, and corresponding in transversals.","questions":[{"answer":"Corresponding angles are equal because of parallel line properties.","question":"Two angles measure $40^\\circ$ and $50^\\circ$.\nAre these angles complementary?\nWhy or why not?"},{"answer":"Yes, they are complementary.","question":"One angle measures $125^\\circ$.\nWhat is the measure of its supplementary angle?"},{"answer":"$55^\\circ$","question":"In a transversal cutting two parallel lines, explain why any two corresponding angles are always equal.\nProvide reasoning based on angle relationships."}],"difficulty":"extension"}


example_id: lp_01K92CH0VA5G7705B8Q1PC5YV2_01K92CH1SENFG3A9PHKRVZSVH1_SCAFFOLDED_QUESTION
skill_ids: ["A9DjPz8IN1vpL2RSuMcM","bHjhBjEZPCgueX8D0BpR"]
subtopics: ["Classifying Angles"]
subtopic_ids: ["subtopic_01GTC0BAC0NMKXM043SD8M1AXA"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn about complementary angles and corresponding angles. Complementary angles add up to $90^\\circ$, while corresponding angles are equal when a transversal cuts parallel lines.","questions":[{"answer":"$55^\\circ$","question":"What is an example of complementary angles?\nRemember that complementary angles add up to $90^\\circ$."},{"answer":"$45^\\circ$ and $45^\\circ$","question":"When a transversal cuts parallel lines, corresponding angles are:\nRemember: they are equal and in matching positions."},{"answer":"$30^\\circ$ and $50^\\circ$","question":"One angle is $35^\\circ$. What is the other angle in a complementary pair?\nRemember: complementary angles add up to $90^\\circ$."}],"difficulty":"enabling"}


example_id: lp_01K92CPEW6SDHH5N6AN1BMN9B2_01K92CPFN5BQFMQJCJS5A55AAP_THOUGHT_SPARKER
skill_ids: ["923JcsCAc7qSRMU8DKJ2","ekLOSJ22ny7W2jNGL4dE","VAQggNvMOBJVHhhsZM7T"]
subtopics: ["Place Value"]
subtopic_ids: ["subtopic_01GTC0BE8Z62FRVYMHDFZQQ22M"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Astronauts
class_year: 4
country: US
period_number: 4
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"An astronaut is organizing $435$ tools into separate boxes. There are $4$ hundreds, $3$ tens, and $5$ ones.","firstSentence":"How could you explain breaking down $435$ using place value to a teammate on the space station?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to use base-ten blocks or drawings to visualize the concept.","Ask students to explain why the value of each digit depends on its place.","Discuss how partitioning helps in organizing or counting large numbers."]}

skills:
["Converting between ones and tens","Partitioning three-digit numbers using place value","Understanding place value in whole numbers"]


example_id: lp_01K92CPEW6SDHH5N6AN1BMN9B2_01K92CPFN5BQFMQJCJREQ9FXZM_APPLICATION
skill_ids: ["923JcsCAc7qSRMU8DKJ2","ekLOSJ22ny7W2jNGL4dE","VAQggNvMOBJVHhhsZM7T"]
subtopics: ["Place Value"]
subtopic_ids: ["subtopic_01GTC0BE8Z62FRVYMHDFZQQ22M"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Astronauts
class_year: 4
country: US
period_number: 4
node_type: APPLICATION
example_output_json:
{"title":"Place Value in Spacecraft Data Management","example1Header":"Situation\nAstronauts analyze spacecraft data, such as distances traveled and supplies used. Understanding place value helps process large numbers accurately.","example1Body":"Example\nTo understand $385\\,724$ km, astronauts separate it: $300\\,000$ (hundreds of thousands), $80\\,000$ (tens of thousands), $5,000$ (thousands), $700$ (hundreds), $20$ (tens), and $4$ (ones).","example2Header":"","example2Body":""}

skills:
["Converting between ones and tens","Partitioning three-digit numbers using place value","Understanding place value in whole numbers"]


example_id: lp_01K92CPEW6SDHH5N6AN1BMN9B2_01K92CPFN5BQFMQJCJS8WK2KY9_EXIT_TICKET
skill_ids: ["923JcsCAc7qSRMU8DKJ2","ekLOSJ22ny7W2jNGL4dE","VAQggNvMOBJVHhhsZM7T"]
subtopics: ["Place Value"]
subtopic_ids: ["subtopic_01GTC0BE8Z62FRVYMHDFZQQ22M"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Astronauts
class_year: 4
country: US
period_number: 4
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$4$","question":"An astronaut collects $40$ tools. How many tens are there in $40$?"},{"answer":"$200$","question":"An astronaut's control panel shows $3\\,205$. What is the value of the $2$ in $3\\,205$?"},{"answer":"$700, 80, 5$","question":"An astronaut's spaceship weighs $785$ kg. What is $785$ when partitioned into hundreds, tens, and ones?"}]}

skills:
["Converting between ones and tens","Partitioning three-digit numbers using place value","Understanding place value in whole numbers"]


example_id: lp_01K92CPEW6SDHH5N6AN1BMN9B2_01K92CPFN5BQFMQJCJRK8EYAYZ_ACTIVITY
skill_ids: ["923JcsCAc7qSRMU8DKJ2","ekLOSJ22ny7W2jNGL4dE","VAQggNvMOBJVHhhsZM7T"]
subtopics: ["Place Value"]
subtopic_ids: ["subtopic_01GTC0BE8Z62FRVYMHDFZQQ22M"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Astronauts
class_year: 4
country: US
period_number: 4
node_type: ACTIVITY
example_output_json:
{"header":"Place Value Puzzle Race\nYou are number detectives solving puzzles to break down three-digit numbers into hundreds, tens, and ones!","scenario":"Steps\n1. Write $3$ random three-digit numbers on paper (e.g., $572$, $408$, $231$).\n2. Break each number into hundreds, tens, and ones (e.g., $572 = 500 + 70 + 2$).\n3. Convert tens into ones (e.g., $70$ becomes $7 \\times 10 = 70$ ones).\n4. Discuss with your team how each number is built from its parts.\n5. The fastest team to solve all numbers wins!","steps":["Discussion\n• What happens to the number when you convert tens into ones?\n• Why does each digit's position in a number matter?","Differentiation Opportunities\n• Support: Use only numbers with $0$ in the tens or ones place (e.g., $402$, $350$).\n• Extend: Create a four-digit number and partition it into thousands, hundreds, tens, and ones."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K92CPEW6SDHH5N6AN1BMN9B2_01K92CPFN5BQFMQJCJS26WM7K6_CONTEMPLATIVE_QUESTION
skill_ids: ["923JcsCAc7qSRMU8DKJ2","ekLOSJ22ny7W2jNGL4dE","VAQggNvMOBJVHhhsZM7T"]
subtopics: ["Place Value"]
subtopic_ids: ["subtopic_01GTC0BE8Z62FRVYMHDFZQQ22M"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Astronauts
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You have $384$. How can you partition it into hundreds, tens, and ones? Are there other ways to split it?","teacherTips":["Encourage students to start with place value: $300$, $80$, and $4$.","Ask students to explore other combinations, like $200 + 180 + 4$.","Discuss how place value helps in understanding numbers better."],"difficulty":"mild"}


example_id: lp_01K92CQ77WSY6JS528GTZCHMFN_01K92CQ8FV20ZKX85DVPCYHHDP_MULTIPLE_CHOICE_QUESTION
skills: ["Converting between ones and tens","Partitioning three-digit numbers using place value"]
skill_ids: ["923JcsCAc7qSRMU8DKJ2","ekLOSJ22ny7W2jNGL4dE"]
subtopics: ["Place Value"]
subtopic_ids: ["subtopic_01GTC0BE8Z62FRVYMHDFZQQ22M"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"How many ones are there in $13$ tens?","answerOptions":["$130$","$13$","$1\\,300$","$1.3$"],"answer":"$130$","difficulty":"hot"}


example_id: lp_01K92CQ77WSY6JS528GTZCHMFN_01K92CQ8FV20ZKX85DVCX0SR5M_MULTIPLE_CHOICE_QUESTION
skills: ["Converting between ones and tens","Partitioning three-digit numbers using place value"]
skill_ids: ["923JcsCAc7qSRMU8DKJ2","ekLOSJ22ny7W2jNGL4dE"]
subtopics: ["Place Value"]
subtopic_ids: ["subtopic_01GTC0BE8Z62FRVYMHDFZQQ22M"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"How many tens are there in $80$?","answerOptions":["$8$ tens","$10$ tens","$6$ tens","$12$ tens"],"answer":"$8$ tens","difficulty":"mild"}


example_id: lp_01K92CQ77WSY6JS528GTZCHMFN_01K92CQ8FV20ZKX85DV56WWKZT_MULTIPLE_CHOICE_QUESTION
skills: ["Converting between ones and tens","Partitioning three-digit numbers using place value"]
skill_ids: ["923JcsCAc7qSRMU8DKJ2","ekLOSJ22ny7W2jNGL4dE"]
subtopics: ["Place Value"]
subtopic_ids: ["subtopic_01GTC0BE8Z62FRVYMHDFZQQ22M"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"How many tens are there in $70$?","answerOptions":["$6$ tens","$7$ tens","$8$ tens","$9$ tens"],"answer":"$7$ tens","difficulty":"mild"}


example_id: lp_01K92CQ77WSY6JS528GTZCHMFN_01K92CQ8FV20ZKX85DVG4MQBKA_CONTEMPLATIVE_QUESTION
skills: ["Converting between ones and tens","Partitioning three-digit numbers using place value"]
skill_ids: ["923JcsCAc7qSRMU8DKJ2","ekLOSJ22ny7W2jNGL4dE"]
subtopics: ["Place Value"]
subtopic_ids: ["subtopic_01GTC0BE8Z62FRVYMHDFZQQ22M"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You have 45 ones. How could you group them into tens? Could you regroup them in different ways? Explain.","teacherTips":["45 ones can be grouped as 4 tens (40 ones) and 5 ones. Regroup by adding or removing tens and ones."],"difficulty":"mild"}


example_id: lp_01K92CQ77WSY6JS528GTZCHMFN_01K92CQ8FV20ZKX85DTEAX1B8Y_CONTEMPLATIVE_QUESTION
skills: ["Converting between ones and tens","Partitioning three-digit numbers using place value"]
skill_ids: ["923JcsCAc7qSRMU8DKJ2","ekLOSJ22ny7W2jNGL4dE"]
subtopics: ["Place Value"]
subtopic_ids: ["subtopic_01GTC0BE8Z62FRVYMHDFZQQ22M"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"A number is $487$. How can you split it into hundreds, tens, and ones? Can you find other ways to partition $487$?","teacherTips":["Split $487$ as $400 + 80 + 7$, or $300 + 180 + 7$, or other valid combinations."],"difficulty":"mild"}


example_id: lp_01K92CQ77WSY6JS528GTZCHMFN_01K92CQ8FV20ZKX85DTBCJG58Z_MULTIPLE_CHOICE_QUESTION
skills: ["Converting between ones and tens","Partitioning three-digit numbers using place value"]
skill_ids: ["923JcsCAc7qSRMU8DKJ2","ekLOSJ22ny7W2jNGL4dE"]
subtopics: ["Place Value"]
subtopic_ids: ["subtopic_01GTC0BE8Z62FRVYMHDFZQQ22M"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"True or false: One way to partition $478$ is $400 + 70 + 8$.","answerOptions":["True","False"],"answer":"True","difficulty":"mild"}


example_id: lp_01K92CQ77WSY6JS528GTZCHMFN_01K92CQ8FV20ZKX85DTDARVVB0_MULTIPLE_CHOICE_QUESTION
skills: ["Converting between ones and tens","Partitioning three-digit numbers using place value"]
skill_ids: ["923JcsCAc7qSRMU8DKJ2","ekLOSJ22ny7W2jNGL4dE"]
subtopics: ["Place Value"]
subtopic_ids: ["subtopic_01GTC0BE8Z62FRVYMHDFZQQ22M"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"One way to partition $382$ is $300 + 80 + 2$. True or false?","answerOptions":["True","False"],"answer":"True","difficulty":"mild"}


example_id: lp_01K92CQ77WSY6JS528GTZCHMFN_01K92CQ817FA63VM3NFZ5G6TB1_SCAFFOLDED_QUESTION
skills: ["Converting between ones and tens","Partitioning three-digit numbers using place value"]
skill_ids: ["923JcsCAc7qSRMU8DKJ2","ekLOSJ22ny7W2jNGL4dE"]
subtopics: ["Place Value"]
subtopic_ids: ["subtopic_01GTC0BE8Z62FRVYMHDFZQQ22M"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore partitioning and converting three-digit numbers using place value reasoning","questions":[{"answer":"Answers vary; explanations should show validity.","question":"Partition $483$ into hundreds, tens, and ones."},{"answer":"$400$, $80$, and $3$","question":"Rewrite $483$ using only tens and ones."},{"answer":"$48$ tens and $3$ ones","question":"Explain two different ways to partition $483$ using hundreds, tens, and ones, and justify why both methods represent the same number."}],"difficulty":"extension"}


example_id: lp_01K92CQ77WSY6JS528GTZCHMFN_01K92CQ817FA63VM3NFVBEMWYD_SCAFFOLDED_QUESTION
skills: ["Converting between ones and tens","Partitioning three-digit numbers using place value"]
skill_ids: ["923JcsCAc7qSRMU8DKJ2","ekLOSJ22ny7W2jNGL4dE"]
subtopics: ["Place Value"]
subtopic_ids: ["subtopic_01GTC0BE8Z62FRVYMHDFZQQ22M"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn to convert between tens and ones. You will also practice partitioning three-digit numbers using place value.","questions":[{"answer":"$400 + 80 + 2$","question":"How many tens are there in $50$ ones?\nRemember: $10$ ones make $1$ ten."},{"answer":"$5$","question":"In the number $326$, how many tens are there?\nHint: Look at the tens place in $326$."},{"answer":"$10$","question":"Partition the number $482$ into hundreds, tens, and ones.\nHint: Look at each digit in $482$ and its place value."}],"difficulty":"enabling"}


example_id: lp_01K92CWJYKS65E0XZS3J9RREVT_01K92CWKVRK6W6E6VZNVY29K8V_THOUGHT_SPARKER
skills: ["Comparing and ordering numbers up to $10 000$","Writing three-digit numbers from their names"]
skill_ids: ["hhGEV8xpQFOwmHM0CH7p","wYDIaukEdHGDFk0ap9pZ"]
subtopics: ["Naming Larger Numbers"]
subtopic_ids: ["subtopic_01GTC0BQYG4DGJ5Q7YW4EYRV7W"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Rugby
class_year: 4
country: US
period_number: 4
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"In a rugby tournament, three teams scored the following points: the Eagles scored $4\\,250$, the Lions scored $3\\,890$, and the Hawks scored $4\\,780$.","firstSentence":"How could you rank these teams from highest to lowest based on their scores?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to compare the thousands, hundreds, tens, and ones places to rank the scores.","Ask students to explain their reasoning for the order they chose.","Use visual aids like a number line to help students see the relative sizes of the scores."]}


example_id: lp_01K92CWJYKS65E0XZS3J9RREVT_01K92CWKVRK6W6E6VZMZRYDSGX_APPLICATION
skills: ["Comparing and ordering numbers up to $10 000$","Writing three-digit numbers from their names"]
skill_ids: ["hhGEV8xpQFOwmHM0CH7p","wYDIaukEdHGDFk0ap9pZ"]
subtopics: ["Naming Larger Numbers"]
subtopic_ids: ["subtopic_01GTC0BQYG4DGJ5Q7YW4EYRV7W"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Rugby
class_year: 4
country: US
period_number: 4
node_type: APPLICATION
example_output_json:
{"title":"Understanding Rugby Scores with Large Numbers","example1Header":"Situation\nRugby referees track scores during matches. They write the scores, often in large three-digit numbers, to update the scoreboard.","example1Body":"Example\nThe referee records 'one hundred twenty-four' as $124$ and 'two hundred thirty-six' as $236$. This keeps the scoreboard accurate for players and fans.","example2Header":"","example2Body":""}


example_id: lp_01K92CWJYKS65E0XZS3J9RREVT_01K92CWKVRK6W6E6VZNN5SBB6Y_CONTEMPLATIVE_QUESTION
skills: ["Comparing and ordering numbers up to $10 000$","Writing three-digit numbers from their names"]
skill_ids: ["hhGEV8xpQFOwmHM0CH7p","wYDIaukEdHGDFk0ap9pZ"]
subtopics: ["Naming Larger Numbers"]
subtopic_ids: ["subtopic_01GTC0BQYG4DGJ5Q7YW4EYRV7W"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Rugby
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"Write three different three-digit numbers using the digits $3$, $7$, and $5$. Then, order them from smallest to largest. How did you decide their order?","teacherTips":["Encourage students to use place value to compare hundreds, tens, and ones.","Discuss how changing the order of digits changes the value of the number.","Ask students to explain their reasoning for the order they chose."],"difficulty":"mild"}


example_id: lp_01K92CWJYKS65E0XZS3J9RREVT_01K92CWKVRK6W6E6VZN6RW1MT3_ACTIVITY
skills: ["Comparing and ordering numbers up to $10 000$","Writing three-digit numbers from their names"]
skill_ids: ["hhGEV8xpQFOwmHM0CH7p","wYDIaukEdHGDFk0ap9pZ"]
subtopics: ["Naming Larger Numbers"]
subtopic_ids: ["subtopic_01GTC0BQYG4DGJ5Q7YW4EYRV7W"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Rugby
class_year: 4
country: US
period_number: 4
node_type: ACTIVITY
example_output_json:
{"header":"Number Line Dash\nYour team is organizing a race, but the runners' bib numbers are jumbled up. Help sort them back in order!","scenario":"Steps\n1. Write $5$ number names (e.g., 'three hundred').\n2. Convert each name into a three-digit number.\n3. Arrange the numbers in ascending order.\n4. Check your order with another team.\n5. The fastest team with correct answers wins!","steps":["Discussion\n• What helped you decide the correct order of numbers?\n• How do place values help compare large numbers?","Differentiation Opportunities\n• Support: Use only numbers below $1\\,000$ for simpler comparisons.\n• Extend: Include four-digit numbers and order them in descending order."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K92CWJYKS65E0XZS3J9RREVT_01K92CWKVRK6W6E6VZP1V76SJH_EXIT_TICKET
skills: ["Comparing and ordering numbers up to $10 000$","Writing three-digit numbers from their names"]
skill_ids: ["hhGEV8xpQFOwmHM0CH7p","wYDIaukEdHGDFk0ap9pZ"]
subtopics: ["Naming Larger Numbers"]
subtopic_ids: ["subtopic_01GTC0BQYG4DGJ5Q7YW4EYRV7W"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Rugby
class_year: 4
country: US
period_number: 4
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$2\\,310, 2\\,350, 2\\,480$","question":"The rugby stadium has $2\\,350$ fans, $2\\,480$ fans, and $2\\,310$ fans over three games. What is the correct order of these numbers from smallest to largest?"},{"answer":"$325$","question":"If a rugby coach counts three hundred twenty-five players, what is the number written in digits?"},{"answer":"$2\\,015, 1\\,902, 1\\,245$","question":"During a rugby season, a player scored $1\\,245$, $2\\,015$, and $1\\,902$ points in three years. What is the order of these scores from largest to smallest?"}]}


example_id: lp_01K92D3XP7J0434Y1A97XWKAKM_01K92D3YHZVDFR1HA15M2BYHDN_THOUGHT_SPARKER
skill_ids: ["jyyXN1kuviBusw54tK8f","VeyWZaasBuOdIkFiMMv1","qgAP5ygf3TFOaqClSvtL"]
subtopics: ["Rounding"]
subtopic_ids: ["subtopic_01GTC0BRBTV7XGC2YWBWVDB9TC"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Stars
class_year: 4
country: US
period_number: 4
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"Astronomers counted $6\\,748$ stars in one part of the sky during a clear night.","firstSentence":"How would you round this number to the nearest ten, hundred, and thousand?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Ask students to underline the relevant digit for each rounding place to aid clarity.","Use a number line to visually show how $6\\,748$ relates to the nearest ten, hundred, and thousand.","Encourage students to explain why they round up or down for each place value."]}

skills:
["Rounding to the nearest hundred","Rounding to the nearest ten, hundred and thousand","Rounding to the nearest ten"]


example_id: lp_01K92D3XP7J0434Y1A97XWKAKM_01K92D3YHZVDFR1HA14YQ7BD34_APPLICATION
skill_ids: ["jyyXN1kuviBusw54tK8f","VeyWZaasBuOdIkFiMMv1","qgAP5ygf3TFOaqClSvtL"]
subtopics: ["Rounding"]
subtopic_ids: ["subtopic_01GTC0BRBTV7XGC2YWBWVDB9TC"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Stars
class_year: 4
country: US
period_number: 4
node_type: APPLICATION
example_output_json:
{"title":"Astronomers Rounding Star Distances","example1Header":"Situation\nAstronomers measure stars' distance from Earth. To communicate easier, they round distances to the nearest ten light-years.","example1Body":"Example\nAstronomers measure a star's distance as $73$ light-years. To simplify, they round it to the nearest ten: $70$ light-years since $3 \u003c 5$.","example2Header":"","example2Body":""}

skills:
["Rounding to the nearest hundred","Rounding to the nearest ten, hundred and thousand","Rounding to the nearest ten"]


example_id: lp_01K92D3XP7J0434Y1A97XWKAKM_01K92D3YHZVDFR1HA15RBDRWQD_EXIT_TICKET
skill_ids: ["jyyXN1kuviBusw54tK8f","VeyWZaasBuOdIkFiMMv1","qgAP5ygf3TFOaqClSvtL"]
subtopics: ["Rounding"]
subtopic_ids: ["subtopic_01GTC0BRBTV7XGC2YWBWVDB9TC"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Stars
class_year: 4
country: US
period_number: 4
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$40$","question":"A star is $43$ light-years away. Round $43$ to the nearest ten."},{"answer":"$300$","question":"A galaxy is $287$ light-years away. Round $287$ to the nearest hundred."},{"answer":"$1\\,000$","question":"A cluster of stars is $1\\,245$ light-years away. Round $1\\,245$ to the nearest thousand."}]}

skills:
["Rounding to the nearest hundred","Rounding to the nearest ten, hundred and thousand","Rounding to the nearest ten"]


example_id: lp_01K92D3XP7J0434Y1A97XWKAKM_01K92D3YHZVDFR1HA153N7JS8P_ACTIVITY
skill_ids: ["jyyXN1kuviBusw54tK8f","VeyWZaasBuOdIkFiMMv1","qgAP5ygf3TFOaqClSvtL"]
subtopics: ["Rounding"]
subtopic_ids: ["subtopic_01GTC0BRBTV7XGC2YWBWVDB9TC"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Stars
class_year: 4
country: US
period_number: 4
node_type: ACTIVITY
example_output_json:
{"header":"Rounding Relay Race\nYour team must round numbers quickly to win the relay race!","scenario":"Steps\n1. Each team writes $5$ numbers (e.g., $742$, $1\\,385$) on paper.\n2. Pass the paper to another team to round each number to the nearest ten.\n3. Next, round the same numbers to the nearest hundred.\n4. Finally, round the numbers to the nearest thousand.\n5. Check answers together; correct answers earn $1$ point each!","steps":["Discussion\n• Why is rounding to the nearest thousand easier for bigger numbers?\n• What happens if the rounding digit is $5$?","Differentiation Opportunities\n• Support: Use smaller numbers (e.g., below $100$) to simplify rounding.\n• Extend: Use larger numbers (e.g., above $10\\,000$) for more challenge."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K92D3XP7J0434Y1A97XWKAKM_01K92D3YHZVDFR1HA15HRET2SG_CONTEMPLATIVE_QUESTION
skill_ids: ["jyyXN1kuviBusw54tK8f","VeyWZaasBuOdIkFiMMv1","qgAP5ygf3TFOaqClSvtL"]
subtopics: ["Rounding"]
subtopic_ids: ["subtopic_01GTC0BRBTV7XGC2YWBWVDB9TC"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Stars
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You have $4\\,375$ points in a game. How would you round this to the nearest ten, hundred, and thousand? Explain why.","teacherTips":["Ask students to explain their steps for rounding at each level.","Encourage students to compare rounding results for different places.","Discuss how rounding can simplify large numbers in real life."],"difficulty":"mild"}


example_id: lp_01K92CX2NAPMGZ0VYWM9RJ4JY4_01K92CX3Z9K6WYE087WPZ10NNK_MULTIPLE_CHOICE_QUESTION
skills: ["Comparing and ordering numbers up to $10 000$","Writing three-digit numbers from their names"]
skill_ids: ["hhGEV8xpQFOwmHM0CH7p","wYDIaukEdHGDFk0ap9pZ"]
subtopics: ["Naming Larger Numbers"]
subtopic_ids: ["subtopic_01GTC0BQYG4DGJ5Q7YW4EYRV7W"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"Which number is the smallest: $3\\,452$, $2\\,876$, $4\\,091$, or $3\\,999$?","answerOptions":["$3\\,452$","$2\\,876$","$4\\,091$","$3\\,999$"],"answer":"$2\\,876$","difficulty":"mild"}


example_id: lp_01K92CX2NAPMGZ0VYWM9RJ4JY4_01K92CX3Z9K6WYE087WTKQ9148_MULTIPLE_CHOICE_QUESTION
skills: ["Comparing and ordering numbers up to $10 000$","Writing three-digit numbers from their names"]
skill_ids: ["hhGEV8xpQFOwmHM0CH7p","wYDIaukEdHGDFk0ap9pZ"]
subtopics: ["Naming Larger Numbers"]
subtopic_ids: ["subtopic_01GTC0BQYG4DGJ5Q7YW4EYRV7W"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"Which number is the largest: $4\\,586$, $3\\,972$, $6\\,483$, or $5\\,214$?","answerOptions":["$4\\,586$","$3\\,972$","$6\\,483$","$5\\,214$"],"answer":"$6\\,483$","difficulty":"mild"}


example_id: lp_01K92CX2NAPMGZ0VYWM9RJ4JY4_01K92CX3Z9K6WYE087WY16P5FQ_CONTEMPLATIVE_QUESTION
skills: ["Comparing and ordering numbers up to $10 000$","Writing three-digit numbers from their names"]
skill_ids: ["hhGEV8xpQFOwmHM0CH7p","wYDIaukEdHGDFk0ap9pZ"]
subtopics: ["Naming Larger Numbers"]
subtopic_ids: ["subtopic_01GTC0BQYG4DGJ5Q7YW4EYRV7W"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"Create a list of $8$ numbers between $1\\,000$ and $10\\,000$. How would you order them from greatest to least? What strategy would you use to compare these numbers?","teacherTips":["Compare digits from left to right, starting with the largest place value (thousands)."],"difficulty":"spicy"}


example_id: lp_01K92CX2NAPMGZ0VYWM9RJ4JY4_01K92CX3Z8TC85FTJ7KVGNE01V_MULTIPLE_CHOICE_QUESTION
skills: ["Comparing and ordering numbers up to $10 000$","Writing three-digit numbers from their names"]
skill_ids: ["hhGEV8xpQFOwmHM0CH7p","wYDIaukEdHGDFk0ap9pZ"]
subtopics: ["Naming Larger Numbers"]
subtopic_ids: ["subtopic_01GTC0BQYG4DGJ5Q7YW4EYRV7W"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"Write this number using digits: Three hundred and forty-five","answerOptions":["$354$","$345$","$435$","$534$"],"answer":"$345$","difficulty":"mild"}


example_id: lp_01K92CX2NAPMGZ0VYWM9RJ4JY4_01K92CX3Z8TC85FTJ7KZK4V2NN_CONTEMPLATIVE_QUESTION
skills: ["Comparing and ordering numbers up to $10 000$","Writing three-digit numbers from their names"]
skill_ids: ["hhGEV8xpQFOwmHM0CH7p","wYDIaukEdHGDFk0ap9pZ"]
subtopics: ["Naming Larger Numbers"]
subtopic_ids: ["subtopic_01GTC0BQYG4DGJ5Q7YW4EYRV7W"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"Create a story about a store and write three-digit prices for 4 items from their names (e.g., $425$).","teacherTips":["Example: 'Four hundred twenty-five' is $425$. Words describe the hundreds, tens, and ones places."],"difficulty":"hot"}


example_id: lp_01K92CX2NAPMGZ0VYWM9RJ4JY4_01K92CX3HEA3XGE4W0G58REZ9W_SCAFFOLDED_QUESTION
skills: ["Comparing and ordering numbers up to $10 000$","Writing three-digit numbers from their names"]
skill_ids: ["hhGEV8xpQFOwmHM0CH7p","wYDIaukEdHGDFk0ap9pZ"]
subtopics: ["Naming Larger Numbers"]
subtopic_ids: ["subtopic_01GTC0BQYG4DGJ5Q7YW4EYRV7W"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Challenge your understanding by comparing and ordering numbers up to $10\\,000$ and writing them from their names.","questions":[{"answer":"Order: $2\\,090$, $2\\,100$, $3\\,004$, $3\\,980$","question":"Write the number for 'seven hundred eighty-nine'."},{"answer":"$789$","question":"Write the number for 'four thousand three hundred twenty-six' and identify the digit in the hundreds place."},{"answer":"$3$","question":"Order these numbers from smallest to largest: 'two thousand one hundred', 'three thousand nine hundred eighty', 'two thousand ninety', and 'three thousand four'. Explain your reasoning."}],"difficulty":"extension"}


example_id: lp_01K92CX2NAPMGZ0VYWM9RJ4JY4_01K92CX3HEA3XGE4W0FYVA2EYP_SCAFFOLDED_QUESTION
skills: ["Comparing and ordering numbers up to $10 000$","Writing three-digit numbers from their names"]
skill_ids: ["hhGEV8xpQFOwmHM0CH7p","wYDIaukEdHGDFk0ap9pZ"]
subtopics: ["Naming Larger Numbers"]
subtopic_ids: ["subtopic_01GTC0BQYG4DGJ5Q7YW4EYRV7W"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will compare and arrange numbers up to $10\\,000$. We will also write three-digit numbers from their names.","questions":[{"answer":"$321, 456, 654, 789$","question":"What is the number for 'seven hundred sixty-four'?"},{"answer":"$746$","question":"Which number is greater: $528$ or $582$?"},{"answer":"$764$","question":"Arrange these numbers from smallest to largest: $456$, $789$, $321$, $654$."}],"difficulty":"enabling"}


example_id: lp_01K92D4FA4XKY7RYG89PRNVPSR_01K92D4GM9540KCG3NBR2NMX6C_MULTIPLE_CHOICE_QUESTION
skill_ids: ["jyyXN1kuviBusw54tK8f","qgAP5ygf3TFOaqClSvtL","VeyWZaasBuOdIkFiMMv1"]
subtopics: ["Rounding"]
subtopic_ids: ["subtopic_01GTC0BRBTV7XGC2YWBWVDB9TC"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"What is $1\\,473$ rounded to the nearest hundred?","answerOptions":["$1\\,400$","$1\\,500$","$1\\,470$","$1\\,450$"],"answer":"$1\\,500$","difficulty":"hot"}

skills:
["Rounding to the nearest hundred","Rounding to the nearest ten","Rounding to the nearest ten, hundred and thousand"]


example_id: lp_01K92D4FA4XKY7RYG89PRNVPSR_01K92D4GM9540KCG3NBTPD0DW4_MULTIPLE_CHOICE_QUESTION
skill_ids: ["jyyXN1kuviBusw54tK8f","qgAP5ygf3TFOaqClSvtL","VeyWZaasBuOdIkFiMMv1"]
subtopics: ["Rounding"]
subtopic_ids: ["subtopic_01GTC0BRBTV7XGC2YWBWVDB9TC"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: spicy
example_output_json:
{"question":"Which of the following numbers rounds to $8\\,300$ when rounded to the nearest hundred?","answerOptions":["$8\\,349$","$8\\,251$","$8\\,399$","$8\\,201$"],"answer":"$8\\,349$","difficulty":"spicy"}

skills:
["Rounding to the nearest hundred","Rounding to the nearest ten","Rounding to the nearest ten, hundred and thousand"]


example_id: lp_01K92D4FA4XKY7RYG89PRNVPSR_01K92D4GM9540KCG3NB2ZEWQFC_MULTIPLE_CHOICE_QUESTION
skill_ids: ["jyyXN1kuviBusw54tK8f","qgAP5ygf3TFOaqClSvtL","VeyWZaasBuOdIkFiMMv1"]
subtopics: ["Rounding"]
subtopic_ids: ["subtopic_01GTC0BRBTV7XGC2YWBWVDB9TC"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is $73$ rounded to the nearest ten?","answerOptions":["$70$","$73$","$75$","$80$"],"answer":"$70$","difficulty":"mild"}

skills:
["Rounding to the nearest hundred","Rounding to the nearest ten","Rounding to the nearest ten, hundred and thousand"]


example_id: lp_01K92D4FA4XKY7RYG89PRNVPSR_01K92D4GM9540KCG3NB75ZZ48W_CONTEMPLATIVE_QUESTION
skill_ids: ["jyyXN1kuviBusw54tK8f","qgAP5ygf3TFOaqClSvtL","VeyWZaasBuOdIkFiMMv1"]
subtopics: ["Rounding"]
subtopic_ids: ["subtopic_01GTC0BRBTV7XGC2YWBWVDB9TC"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You have $85$ marbles. How would rounding to the nearest ten help you quickly estimate totals in games?","teacherTips":["$85$ rounds to $90$ because the ones digit is $5$, which means you round up to the next ten."],"difficulty":"mild"}


example_id: lp_01K92D4FA4XKY7RYG89PRNVPSR_01K92D4GM9540KCG3NCE8Z0VFZ_MULTIPLE_CHOICE_QUESTION
skill_ids: ["jyyXN1kuviBusw54tK8f","qgAP5ygf3TFOaqClSvtL","VeyWZaasBuOdIkFiMMv1"]
subtopics: ["Rounding"]
subtopic_ids: ["subtopic_01GTC0BRBTV7XGC2YWBWVDB9TC"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: spicy
example_output_json:
{"question":"What is $25\\,849$ rounded to the nearest thousand?","answerOptions":["$25\\,000$","$26\\,000$","$25\\,800$","$26\\,849$"],"answer":"$26\\,000$","difficulty":"spicy"}


example_id: lp_01K92D4FA4XKY7RYG89PRNVPSR_01K92D4GM9540KCG3NCCHSD1A8_CONTEMPLATIVE_QUESTION
skill_ids: ["jyyXN1kuviBusw54tK8f","qgAP5ygf3TFOaqClSvtL","VeyWZaasBuOdIkFiMMv1"]
subtopics: ["Rounding"]
subtopic_ids: ["subtopic_01GTC0BRBTV7XGC2YWBWVDB9TC"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"You are planning a road trip of $1\\,234$ miles. How would you round the distance to the nearest ten, hundred, and thousand? Why might each rounding be useful?","teacherTips":["To the nearest ten: $1\\,230$, hundred: $1\\,200$, thousand: $1\\,000$. Each helps simplify planning."],"difficulty":"hot"}


example_id: lp_01K92D4FA4XKY7RYG89PRNVPSR_01K92D4FYMXFKJ11Z68M5RXR4B_SCAFFOLDED_QUESTION
skill_ids: ["jyyXN1kuviBusw54tK8f","qgAP5ygf3TFOaqClSvtL","VeyWZaasBuOdIkFiMMv1"]
subtopics: ["Rounding"]
subtopic_ids: ["subtopic_01GTC0BRBTV7XGC2YWBWVDB9TC"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore advanced rounding challenges to the nearest ten, hundred, and thousand.","questions":[{"answer":"Ten: $56\\,750$, Hundred: $56\\,700$, Thousand: $57\\,000$","question":"Round $87\\,492$ to the nearest ten."},{"answer":"$87\\,490$","question":"Round $43\\,867$ to the nearest hundred."},{"answer":"$43\\,900$","question":"Explain how $56\\,745$ is rounded differently to the nearest ten, hundred, and thousand. Justify each rounding decision."}],"difficulty":"extension"}


example_id: lp_01K92D4FA4XKY7RYG89PRNVPSR_01K92D4FYMXFKJ11Z68HM03XFA_SCAFFOLDED_QUESTION
skill_ids: ["jyyXN1kuviBusw54tK8f","qgAP5ygf3TFOaqClSvtL","VeyWZaasBuOdIkFiMMv1"]
subtopics: ["Rounding"]
subtopic_ids: ["subtopic_01GTC0BRBTV7XGC2YWBWVDB9TC"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will practice rounding numbers to the nearest ten and hundred. Rounding helps make numbers simpler to work with.","questions":[{"answer":"$780$","question":"What is $24$ rounded to the nearest ten?\nHint: Look at the ones place. If the digit is $5$ or more, round up. If it's $4$ or less, round down."},{"answer":"$20$","question":"What is $367$ rounded to the nearest hundred?\nHint: Check the tens place. If the digit is $5$ or more, round up. If it's $4$ or less, round down."},{"answer":"$30$","question":"What is $784$ rounded to the nearest ten?\nHint: Use the same method as before. Look at the ones place to decide whether to round up or down."}],"difficulty":"enabling"}


example_id: lp_01K92DABX4KJNYRJFE4G49SJQ1_01K92DADX0GQVX7JR74XJ61QPN_CONTEMPLATIVE_QUESTION
skill_ids: ["DdJAEc33OfJipvA9jkpe","AxEtAjK4q4np3GHNJ6c4","IGuqjYRzjyiFGewUmAPO"]
subtopics: ["Advanced Subtraction"]
subtopic_ids: ["subtopic_01GTC0BS09K22T2772BMRYAMQH"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Airplanes
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You are baking cookies. You need $453$ g of flour, $278$ g of sugar, and $125$ g of butter. How much do you need in total? If you only have $1\\,000$ g of ingredients, how much will you have left? How can you solve this?","teacherTips":["Guide students to use long addition for $453 + 278 + 125$.","Encourage students to subtract the total from $1\\,000$ using long subtraction.","Have them explain their steps and show their work clearly."],"difficulty":"mild"}

skills:
["Solving long addition problems","Using long subtraction with numbers of equal length","Subtraction of three numbers of different length"]


example_id: lp_01K92DABX4KJNYRJFE4G49SJQ1_01K92DADX0GQVX7JR74P7TP8TT_ACTIVITY
skill_ids: ["DdJAEc33OfJipvA9jkpe","AxEtAjK4q4np3GHNJ6c4","IGuqjYRzjyiFGewUmAPO"]
subtopics: ["Advanced Subtraction"]
subtopic_ids: ["subtopic_01GTC0BS09K22T2772BMRYAMQH"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Airplanes
class_year: 4
country: US
period_number: 4
node_type: ACTIVITY
example_output_json:
{"header":"Math Relay Challenge\nYour team is solving math puzzles to help a relay runner finish the race!","scenario":"Steps\n1. Each team writes $3$ long addition or subtraction problems on paper.\n2. Trade problems with another team to solve them.\n3. Solve the problems step-by-step, showing your work clearly.\n4. Check the solutions with the other team. Correct answers score $1$ point.\n5. The team with the most points after $3$ rounds wins!","steps":["Discussion\n• What strategy did you use to check your subtraction?\n• How is solving addition different from subtraction?","Differentiation Opportunities\n• Support: Use smaller numbers (e.g., two-digit numbers) for practice.\n• Extend: Create multi-step problems with both addition and subtraction."],"discussion":[],"differentiation":{"support":"","extend":""}}

skills:
["Solving long addition problems","Using long subtraction with numbers of equal length","Subtraction of three numbers of different length"]


example_id: lp_01K92DABX4KJNYRJFE4G49SJQ1_01K92DADX0GQVX7JR753ZJAPNY_EXIT_TICKET
skill_ids: ["DdJAEc33OfJipvA9jkpe","AxEtAjK4q4np3GHNJ6c4","IGuqjYRzjyiFGewUmAPO"]
subtopics: ["Advanced Subtraction"]
subtopic_ids: ["subtopic_01GTC0BS09K22T2772BMRYAMQH"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Airplanes
class_year: 4
country: US
period_number: 4
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$513$","question":"An airplane traveled $842$ miles on the first day and $329$ miles on the second day; how much farther did it travel on the first day?"},{"answer":"$819$","question":"An airplane flew $452$ miles in the morning and $367$ miles in the afternoon; what is the total distance it traveled that day?"},{"answer":"$192$","question":"An airplane covered $1\\,200$ miles in total. On two flights, it covered $765$ miles and $243$ miles. How many miles are left to cover?"}]}

skills:
["Solving long addition problems","Using long subtraction with numbers of equal length","Subtraction of three numbers of different length"]


example_id: lp_01K92DABX4KJNYRJFE4G49SJQ1_01K92DADX0GQVX7JR74MSPB4D7_APPLICATION
skill_ids: ["DdJAEc33OfJipvA9jkpe","AxEtAjK4q4np3GHNJ6c4","IGuqjYRzjyiFGewUmAPO"]
subtopics: ["Advanced Subtraction"]
subtopic_ids: ["subtopic_01GTC0BS09K22T2772BMRYAMQH"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Airplanes
class_year: 4
country: US
period_number: 4
node_type: APPLICATION
example_output_json:
{"title":"Calculating Airplane Passenger Totals","example1Header":"Situation\nAirline staff manage passenger counts for flights. They add passengers from different ticket categories to ensure the plane is not overbooked.","example1Body":"Example\nAn airplane has $142$ first-class, $275$ second-class, and $83$ economy passengers. Adding these: $142 + 275 = 417$, then $417 + 83 = 500$. Total: $500$ passengers.","example2Header":"","example2Body":""}


example_id: lp_01K92DABX4KJNYRJFE4G49SJQ1_01K92DADX0GQVX7JR74ZWTB3PT_THOUGHT_SPARKER
skill_ids: ["DdJAEc33OfJipvA9jkpe","AxEtAjK4q4np3GHNJ6c4","IGuqjYRzjyiFGewUmAPO"]
subtopics: ["Advanced Subtraction"]
subtopic_ids: ["subtopic_01GTC0BS09K22T2772BMRYAMQH"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Airplanes
class_year: 4
country: US
period_number: 4
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"Two airplanes are flying long distances. One airplane has already traveled $1\\,245$ miles, and another has traveled $873$ miles. A third airplane plans to travel $1\\,356$ miles in total.","firstSentence":"How could you determine how much farther the third airplane will fly compared to the other two combined?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to break the problem into smaller steps, such as finding the total distance traveled by the first two airplanes.","Ask students to explain their reasoning for each step and compare strategies with classmates.","Use visual aids, like number lines or drawings, to help students conceptualize the distances and operations involved."]}


example_id: lp_01K92DBDWZNS7DXJ62Y3035ANM_01K92DBF2CHG385MRMJM4MBCJW_CONTEMPLATIVE_QUESTION
skill_ids: ["AxEtAjK4q4np3GHNJ6c4","IGuqjYRzjyiFGewUmAPO","DdJAEc33OfJipvA9jkpe"]
subtopics: ["Advanced Subtraction"]
subtopic_ids: ["subtopic_01GTC0BS09K22T2772BMRYAMQH"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You have $784$ stickers and give $329$ to a friend. How would you use long subtraction to find how many stickers you have left? Can you explain each step and why you made any borrows?","teacherTips":["Use long subtraction: borrow from $7$ (making it $6$) to subtract $9$ from $14$. Result: $455$ stickers."],"difficulty":"mild"}

skills:
["Using long subtraction with numbers of equal length","Subtraction of three numbers of different length","Solving long addition problems"]


example_id: lp_01K92DBDWZNS7DXJ62Y3035ANM_01K92DBF2CHG385MRMJTFQHFP5_MULTIPLE_CHOICE_QUESTION
skill_ids: ["AxEtAjK4q4np3GHNJ6c4","IGuqjYRzjyiFGewUmAPO","DdJAEc33OfJipvA9jkpe"]
subtopics: ["Advanced Subtraction"]
subtopic_ids: ["subtopic_01GTC0BS09K22T2772BMRYAMQH"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"What is the result of $7\\,835 - 4\\,268$?","answerOptions":["$3\\,567$","$3\\,567$","$3\\,587$","$3\\,557$"],"answer":"$3\\,567$","difficulty":"hot"}

skills:
["Using long subtraction with numbers of equal length","Subtraction of three numbers of different length","Solving long addition problems"]


example_id: lp_01K92DBDWZNS7DXJ62Y3035ANM_01K92DBF2CHG385MRMJZV51JRH_MULTIPLE_CHOICE_QUESTION
skill_ids: ["AxEtAjK4q4np3GHNJ6c4","IGuqjYRzjyiFGewUmAPO","DdJAEc33OfJipvA9jkpe"]
subtopics: ["Advanced Subtraction"]
subtopic_ids: ["subtopic_01GTC0BS09K22T2772BMRYAMQH"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: spicy
example_output_json:
{"question":"What is $7\\,634 - 4\\,928$?","answerOptions":["$2\\,706$","$2\\,716$","$2\\,706$","$2\\,806$"],"answer":"$2\\,706$","difficulty":"spicy"}

skills:
["Using long subtraction with numbers of equal length","Subtraction of three numbers of different length","Solving long addition problems"]


example_id: lp_01K92DBDWZNS7DXJ62Y3035ANM_01K92DBF2CHG385MRMHXRBDFVN_MULTIPLE_CHOICE_QUESTION
skill_ids: ["AxEtAjK4q4np3GHNJ6c4","IGuqjYRzjyiFGewUmAPO","DdJAEc33OfJipvA9jkpe"]
subtopics: ["Advanced Subtraction"]
subtopic_ids: ["subtopic_01GTC0BS09K22T2772BMRYAMQH"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: spicy
example_output_json:
{"question":"What is the result of $5\\,623 - 748 - 59$?","answerOptions":["$4\\,816$","$4\\,916$","$4\\,824$","$4\\,826$"],"answer":"$4\\,816$","difficulty":"spicy"}


example_id: lp_01K92DBDWZNS7DXJ62Y3035ANM_01K92DBF2CHG385MRMHPKW9KZD_MULTIPLE_CHOICE_QUESTION
skill_ids: ["AxEtAjK4q4np3GHNJ6c4","IGuqjYRzjyiFGewUmAPO","DdJAEc33OfJipvA9jkpe"]
subtopics: ["Advanced Subtraction"]
subtopic_ids: ["subtopic_01GTC0BS09K22T2772BMRYAMQH"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is $500 - 200 - 50$?","answerOptions":["$150$","$250$","$300$","$350$"],"answer":"$250$","difficulty":"mild"}


example_id: lp_01K92DBDWZNS7DXJ62Y3035ANM_01K92DBF2CHG385MRMHSH518GC_MULTIPLE_CHOICE_QUESTION
skill_ids: ["AxEtAjK4q4np3GHNJ6c4","IGuqjYRzjyiFGewUmAPO","DdJAEc33OfJipvA9jkpe"]
subtopics: ["Advanced Subtraction"]
subtopic_ids: ["subtopic_01GTC0BS09K22T2772BMRYAMQH"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"What is the result of $547 - 128 - 39$?","answerOptions":["$370$","$380$","$390$","$400$"],"answer":"$380$","difficulty":"hot"}


example_id: lp_01K92DBDWZNS7DXJ62Y3035ANM_01K92DBF2CHG385MRMH0M3A5YM_MULTIPLE_CHOICE_QUESTION
skill_ids: ["AxEtAjK4q4np3GHNJ6c4","IGuqjYRzjyiFGewUmAPO","DdJAEc33OfJipvA9jkpe"]
subtopics: ["Advanced Subtraction"]
subtopic_ids: ["subtopic_01GTC0BS09K22T2772BMRYAMQH"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: spicy
example_output_json:
{"question":"What is the sum of $7\\,842$, $3\\,659$, and $2\\,134$?","answerOptions":["$13\\,535$","$13\\,625$","$13\\,635$","$13\\,725$"],"answer":"$13\\,635$","difficulty":"spicy"}


example_id: lp_01K92DBDWZNS7DXJ62Y3035ANM_01K92DBF2CHG385MRMGS7MJCEZ_MULTIPLE_CHOICE_QUESTION
skill_ids: ["AxEtAjK4q4np3GHNJ6c4","IGuqjYRzjyiFGewUmAPO","DdJAEc33OfJipvA9jkpe"]
subtopics: ["Advanced Subtraction"]
subtopic_ids: ["subtopic_01GTC0BS09K22T2772BMRYAMQH"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"What is the sum of $2\\,345$ and $4\\,678$?","answerOptions":["$7\\,013$","$6\\,923$","$7\\,023$","$6\\,933$"],"answer":"$7\\,023$","difficulty":"hot"}


example_id: lp_01K92DBDWZNS7DXJ62Y3035ANM_01K92DBF2CHG385MRMGNF7CDW0_CONTEMPLATIVE_QUESTION
skill_ids: ["AxEtAjK4q4np3GHNJ6c4","IGuqjYRzjyiFGewUmAPO","DdJAEc33OfJipvA9jkpe"]
subtopics: ["Advanced Subtraction"]
subtopic_ids: ["subtopic_01GTC0BS09K22T2772BMRYAMQH"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You are organizing a bake sale and need to add the total sales. If you sold cookies for $345$, cakes for $678$, and muffins for $129$, how would you solve the total sales? Could you solve it in a different way?","teacherTips":["Add $345 + 678 + 129$ step by step. Use place values or regrouping to find $1\\,152$."],"difficulty":"mild"}


example_id: lp_01K92DBDWZNS7DXJ62Y3035ANM_01K92DBEMBF1EEW38TQWXA4NXY_SCAFFOLDED_QUESTION
skill_ids: ["AxEtAjK4q4np3GHNJ6c4","IGuqjYRzjyiFGewUmAPO","DdJAEc33OfJipvA9jkpe"]
subtopics: ["Advanced Subtraction"]
subtopic_ids: ["subtopic_01GTC0BS09K22T2772BMRYAMQH"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Challenge yourself with advanced subtraction and addition involving numbers of equal and different lengths.","questions":[{"answer":"Use inverse operations and recompute step-by-step.","question":"What is $8\\,765 - 4\\,378$?"},{"answer":"$4\\,387$","question":"Calculate $9\\,834 - 6\\,219 - 452$."},{"answer":"$3\\,163$","question":"Explain how you can verify your solution to $7\\,654 - 3\\,218 + 1\\,476$ using the inverse relationship between addition and subtraction."}],"difficulty":"extension"}


example_id: lp_01K92DBDWZNS7DXJ62Y3035ANM_01K92DBEMBF1EEW38TQR9QTWQS_SCAFFOLDED_QUESTION
skill_ids: ["AxEtAjK4q4np3GHNJ6c4","IGuqjYRzjyiFGewUmAPO","DdJAEc33OfJipvA9jkpe"]
subtopics: ["Advanced Subtraction"]
subtopic_ids: ["subtopic_01GTC0BS09K22T2772BMRYAMQH"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this activity, you will practice solving subtraction problems with numbers of equal lengths and different lengths.","questions":[{"answer":"$525$","question":"What is $432 - 211$?"},{"answer":"$221$","question":"What is $523 - 12$?"},{"answer":"$223$","question":"What is $600 - 45 - 30$?"}],"difficulty":"enabling"}


example_id: lp_01K92DMDZ6CSRKG87GQRG2ZCS7_01K92DMEYJGMMN6R7CJ21J0S6Y_THOUGHT_SPARKER
skills: ["Solving multiplication problems with more than two numbers"]
skill_ids: ["Owhlr0HmbxvyACwWbieV"]
subtopics: ["Multiplication"]
subtopic_ids: ["subtopic_01GTC0BPW8CZ3ARVMJCWNHB4BW"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Butterfly
class_year: 4
country: US
period_number: 4
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"A butterfly lays $20$ eggs on each of $3$ milkweed plants, and another butterfly lays $4$ times as many eggs as the first.","firstSentence":"How could you calculate the total number of eggs laid by both butterflies?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to break the problem into smaller steps, solving for one butterfly's total first.","Ask students to explore different methods for solving, such as grouping or using parentheses.","Discuss the importance of the order of operations when multiplying several numbers together."]}


example_id: lp_01K92DMDZ6CSRKG87GQRG2ZCS7_01K92DMEYJGMMN6R7CHB9EXSDH_APPLICATION
skills: ["Solving multiplication problems with more than two numbers"]
skill_ids: ["Owhlr0HmbxvyACwWbieV"]
subtopics: ["Multiplication"]
subtopic_ids: ["subtopic_01GTC0BPW8CZ3ARVMJCWNHB4BW"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Butterfly
class_year: 4
country: US
period_number: 4
node_type: APPLICATION
example_output_json:
{"title":"Counting Butterfly Wings in Conservation","example1Header":"Situation\nButterfly conservationists count wings to track populations. They multiply the number of butterflies and their wings across different areas.","example1Body":"Example\nConservationists count $3$ groups of $4$ butterflies each, with $2$ wings per butterfly. Total wings: $3 \\times 4 = 12$, then $12 \\times 2 = 24$ wings.","example2Header":"","example2Body":""}


example_id: lp_01K92DMDZ6CSRKG87GQRG2ZCS7_01K92DMEYJGMMN6R7CHF72DE9C_ACTIVITY
skills: ["Solving multiplication problems with more than two numbers"]
skill_ids: ["Owhlr0HmbxvyACwWbieV"]
subtopics: ["Multiplication"]
subtopic_ids: ["subtopic_01GTC0BPW8CZ3ARVMJCWNHB4BW"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Butterfly
class_year: 4
country: US
period_number: 4
node_type: ACTIVITY
example_output_json:
{"header":"Roll and Multiply!\nYour team is on a mission to solve the most multiplication problems using three numbers rolled from dice.","scenario":"Steps\n1. Each team rolls three dice to get numbers (e.g., $3$, $4$, $5$).\n2. Write a multiplication problem (e.g., $3 \\times 4 \\times 5$).\n3. Solve the problem as quickly and accurately as possible.\n4. Check the answer with another team and record your points.\n5. Repeat for $5$ rounds. The team with the most points wins!","steps":["Discussion\n• Does the order of multiplying numbers change the result?\n• What strategies help solve the problems faster?","Differentiation Opportunities\n• Support: Use two dice instead of three to create simpler problems.\n• Extend: Add a fourth dice roll to create more complex problems."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K92DMDZ6CSRKG87GQRG2ZCS7_01K92DMEYJGMMN6R7CJ34KA8CC_EXIT_TICKET
skills: ["Solving multiplication problems with more than two numbers"]
skill_ids: ["Owhlr0HmbxvyACwWbieV"]
subtopics: ["Multiplication"]
subtopic_ids: ["subtopic_01GTC0BPW8CZ3ARVMJCWNHB4BW"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Butterfly
class_year: 4
country: US
period_number: 4
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$24$","question":"If a butterfly lays $2$ eggs on each of $3$ leaves and there are $4$ butterflies, how many eggs are laid in total?"},{"answer":"$90$","question":"A butterfly drinks nectar from $5$ flowers per hour. In $3$ hours, $6$ butterflies are drinking nectar. How many flowers do they visit in total?"},{"answer":"$40$","question":"Each butterfly visits $2$ plants, and each plant has $4$ flowers. If $5$ butterflies visit, how many flowers are visited in total?"}]}


example_id: lp_01K92DMDZ6CSRKG87GQRG2ZCS7_01K92DMEYJGMMN6R7CHY1VS7FQ_CONTEMPLATIVE_QUESTION
skills: ["Solving multiplication problems with more than two numbers"]
skill_ids: ["Owhlr0HmbxvyACwWbieV"]
subtopics: ["Multiplication"]
subtopic_ids: ["subtopic_01GTC0BPW8CZ3ARVMJCWNHB4BW"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Butterfly
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You are organizing chairs for a party. Each row has $6$ chairs, and there are $4$ rows in each section. If there are $3$ sections, how many chairs are there in total? Explain your strategy.","teacherTips":["Encourage grouping $6 \\times 4$ first, then multiplying by $3$.","Discuss how to break the problem into smaller steps.","Ask students to explain their reasoning clearly."],"difficulty":"mild"}


example_id: lp_01K92DNCZNSTF58RJGWT2EJHQS_01K92DNEBRE51Z69K8WK7QR8J7_CONTEMPLATIVE_QUESTION
skills: ["Solving multiplication problems with more than two numbers"]
skill_ids: ["Owhlr0HmbxvyACwWbieV"]
subtopics: ["Multiplication"]
subtopic_ids: ["subtopic_01GTC0BPW8CZ3ARVMJCWNHB4BW"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"You’re designing a party with $3$ tables. Each table has $4$ plates, and each plate holds $5$ cupcakes. How can you find the total number of cupcakes? Could there be other ways to solve this?","teacherTips":["Multiply $3 \\times 4 = 12$, then $12 \\times 5 = 60$. Other orders also give $60$ cupcakes."],"difficulty":"spicy"}


example_id: lp_01K92DNCZNSTF58RJGWT2EJHQS_01K92DNEBRE51Z69K8WD27VSM7_CONTEMPLATIVE_QUESTION
skills: ["Solving multiplication problems with more than two numbers"]
skill_ids: ["Owhlr0HmbxvyACwWbieV"]
subtopics: ["Multiplication"]
subtopic_ids: ["subtopic_01GTC0BPW8CZ3ARVMJCWNHB4BW"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"You have $3$ shelves. Each shelf has $4$ boxes, and each box has $5$ books. How would you find the total number of books? Could there be different ways to solve this?","teacherTips":["Multiply in any order: $3 \\times 4 = 12$, then $12 \\times 5 = 60$, or $4 \\times 5 = 20$, then $20 \\times 3 = 60$."],"difficulty":"hot"}


example_id: lp_01K92DNCZNSTF58RJGWT2EJHQS_01K92DNEBRE51Z69K8VWAXZCWN_MULTIPLE_CHOICE_QUESTION
skills: ["Solving multiplication problems with more than two numbers"]
skill_ids: ["Owhlr0HmbxvyACwWbieV"]
subtopics: ["Multiplication"]
subtopic_ids: ["subtopic_01GTC0BPW8CZ3ARVMJCWNHB4BW"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is $2 \\times 3 \\times 4$?","answerOptions":["$18$","$20$","$24$","$26$"],"answer":"$24$","difficulty":"mild"}


example_id: lp_01K92DNCZNSTF58RJGWT2EJHQS_01K92DNEBRE51Z69K8VNTB8702_MULTIPLE_CHOICE_QUESTION
skills: ["Solving multiplication problems with more than two numbers"]
skill_ids: ["Owhlr0HmbxvyACwWbieV"]
subtopics: ["Multiplication"]
subtopic_ids: ["subtopic_01GTC0BPW8CZ3ARVMJCWNHB4BW"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is $2 \\times 3 \\times 4$?","answerOptions":["$18$","$24$","$12$","$30$"],"answer":"$24$","difficulty":"mild"}


example_id: lp_01K92DNCZNSTF58RJGWT2EJHQS_01K92DNEBRE51Z69K8WHN551GG_MULTIPLE_CHOICE_QUESTION
skills: ["Solving multiplication problems with more than two numbers"]
skill_ids: ["Owhlr0HmbxvyACwWbieV"]
subtopics: ["Multiplication"]
subtopic_ids: ["subtopic_01GTC0BPW8CZ3ARVMJCWNHB4BW"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: spicy
example_output_json:
{"question":"What is the product of $4$, $3$, and $5$ multiplied together?","answerOptions":["$60$","$70$","$80$","$50$"],"answer":"$60$","difficulty":"spicy"}


example_id: lp_01K92DNCZNSTF58RJGWT2EJHQS_01K92DNEBRE51Z69K8W0B6CJRR_MULTIPLE_CHOICE_QUESTION
skills: ["Solving multiplication problems with more than two numbers"]
skill_ids: ["Owhlr0HmbxvyACwWbieV"]
subtopics: ["Multiplication"]
subtopic_ids: ["subtopic_01GTC0BPW8CZ3ARVMJCWNHB4BW"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is $2 \\times 3 \\times 4$?","answerOptions":["$18$","$24$","$20$","$12$"],"answer":"$24$","difficulty":"mild"}


example_id: lp_01K92DNCZNSTF58RJGWT2EJHQS_01K92DNEBRE51Z69K8W4598GE5_MULTIPLE_CHOICE_QUESTION
skills: ["Solving multiplication problems with more than two numbers"]
skill_ids: ["Owhlr0HmbxvyACwWbieV"]
subtopics: ["Multiplication"]
subtopic_ids: ["subtopic_01GTC0BPW8CZ3ARVMJCWNHB4BW"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is $2 \\times 3 \\times 4$?","answerOptions":["$18$","$20$","$24$","$30$"],"answer":"$24$","difficulty":"mild"}


example_id: lp_01K92DNCZNSTF58RJGWT2EJHQS_01K92DNEBRE51Z69K8W87PDN6W_MULTIPLE_CHOICE_QUESTION
skills: ["Solving multiplication problems with more than two numbers"]
skill_ids: ["Owhlr0HmbxvyACwWbieV"]
subtopics: ["Multiplication"]
subtopic_ids: ["subtopic_01GTC0BPW8CZ3ARVMJCWNHB4BW"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"What is the product of $3$, $4$, and $5$?","answerOptions":["$60$","$45$","$70$","$50$"],"answer":"$60$","difficulty":"hot"}


example_id: lp_01K92DNCZNSTF58RJGWT2EJHQS_01K92DNDYW5DGB1FVHQT4BYPZ7_SCAFFOLDED_QUESTION
skills: ["Solving multiplication problems with more than two numbers"]
skill_ids: ["Owhlr0HmbxvyACwWbieV"]
subtopics: ["Multiplication"]
subtopic_ids: ["subtopic_01GTC0BPW8CZ3ARVMJCWNHB4BW"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore advanced multiplication by solving problems with three or more numbers.","questions":[{"answer":"Use grouping and the associative property to simplify.","question":"What is $3 \\times 4 \\times 5$?"},{"answer":"$60$","question":"What is $2 \\times 3 \\times 6 \\times 5$?"},{"answer":"$180$","question":"Explain how you would solve $4 \\times 7 \\times 2 \\times 5$ and why your method works for multiplying any number of terms."}],"difficulty":"extension"}


example_id: lp_01K92DNCZNSTF58RJGWT2EJHQS_01K92DNDYW5DGB1FVHQQ3KEQSV_SCAFFOLDED_QUESTION
skills: ["Solving multiplication problems with more than two numbers"]
skill_ids: ["Owhlr0HmbxvyACwWbieV"]
subtopics: ["Multiplication"]
subtopic_ids: ["subtopic_01GTC0BPW8CZ3ARVMJCWNHB4BW"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn how to solve multiplication problems with more than two numbers by multiplying step by step.","questions":[{"answer":"$30$","question":"What is $2 \\times 3$?"},{"answer":"$5$","question":"What is $2 \\times 3 \\times 4$?\nHint: Start with $2 \\times 3$, then multiply the result by $4$."},{"answer":"$6$","question":"Solve $3 \\times 5 \\times 2$.\nRemember to multiply two numbers first, then multiply the result by the third number."}],"difficulty":"enabling"}


example_id: lp_01K92DTPFV74CHT8JD5C8Y678Z_01K92DTQJ3KV3X1GDDA05P2FD5_EXIT_TICKET
skills: ["Division of whole numbers with a remainder"]
skill_ids: ["VHtYBsCVDqLpOkbVHWWx"]
subtopics: ["Division"]
subtopic_ids: ["subtopic_01GTC0BKW1XZXBK9NSWCA3073X"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Guitars
class_year: 4
country: US
period_number: 4
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$1$","question":"A guitar store has $17$ guitar strings to divide equally among $4$ guitars. How many strings will be left over?"},{"answer":"$5$","question":"A musician has $45$ guitar picks and wants to arrange them in groups of $8$. How many picks will not fit into a group?"},{"answer":"$5$","question":"A luthier has $101$ guitar frets and packs them into boxes of $12$. How many frets will be left unpacked?"}]}


example_id: lp_01K92DTPFV74CHT8JD5C8Y678Z_01K92DTQJ3KV3X1GDD9TFMZY1H_CONTEMPLATIVE_QUESTION
skills: ["Division of whole numbers with a remainder"]
skill_ids: ["VHtYBsCVDqLpOkbVHWWx"]
subtopics: ["Division"]
subtopic_ids: ["subtopic_01GTC0BKW1XZXBK9NSWCA3073X"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Guitars
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You have 23 apples to divide among 4 friends. How would you divide them equally? What is leftover?","teacherTips":["Encourage students to calculate $23 \\div 4$ and explain the quotient and remainder.","Discuss how the remainder ($3$) represents the leftover apples.","Ask students to suggest ways to share the leftover apples fairly."],"difficulty":"mild"}


example_id: lp_01K92DTPFV74CHT8JD5C8Y678Z_01K92DTQJ3KV3X1GDD9GPWMAZD_ACTIVITY
skills: ["Division of whole numbers with a remainder"]
skill_ids: ["VHtYBsCVDqLpOkbVHWWx"]
subtopics: ["Division"]
subtopic_ids: ["subtopic_01GTC0BKW1XZXBK9NSWCA3073X"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Guitars
class_year: 4
country: US
period_number: 4
node_type: ACTIVITY
example_output_json:
{"header":"Candy Division Challenge\nYou’re dividing candies among friends. Some candies might be left over!","scenario":"Steps\n1. In teams, write $5$ division problems (e.g., $23 \\div 5$).\n2. Solve each problem, finding the quotient and the remainder.\n3. Check other teams' answers for accuracy.\n4. Score $1$ point for correct answers and $2$ points for catching errors.\n5. The team with the most points wins!","steps":["Discussion\n• Why do some problems have remainders?\n• How can you check if your answers are correct?","Differentiation Opportunities\n• Support: Use smaller numbers (e.g., less than $20$) for easier division.\n• Extend: Create and solve problems with divisors greater than $10$."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K92DTPFV74CHT8JD5C8Y678Z_01K92DTQJ3KV3X1GDD9BC45F1D_APPLICATION
skills: ["Division of whole numbers with a remainder"]
skill_ids: ["VHtYBsCVDqLpOkbVHWWx"]
subtopics: ["Division"]
subtopic_ids: ["subtopic_01GTC0BKW1XZXBK9NSWCA3073X"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Guitars
class_year: 4
country: US
period_number: 4
node_type: APPLICATION
example_output_json:
{"title":"Dividing Strings for Guitar Building","example1Header":"Situation\nGuitar makers cut long metal wires into smaller pieces for strings. Accurate division ensures each string fits the guitar perfectly.","example1Body":"Example\nA 25 cm wire is divided into 6 cm pieces: $25 \\div 6 = 4$ strings, remainder 1 cm. The guitar maker cuts 4 full strings and has 1 cm leftover.","example2Header":"","example2Body":""}


example_id: lp_01K92DTPFV74CHT8JD5C8Y678Z_01K92DTQJ3KV3X1GDD9VQCC5FR_THOUGHT_SPARKER
skills: ["Division of whole numbers with a remainder"]
skill_ids: ["VHtYBsCVDqLpOkbVHWWx"]
subtopics: ["Division"]
subtopic_ids: ["subtopic_01GTC0BKW1XZXBK9NSWCA3073X"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Guitars
class_year: 4
country: US
period_number: 4
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"A guitar store receives $53$ guitar strings and wants to pack them into boxes of $8$ strings each.","firstSentence":"How could you figure out how many strings will be left over after packing them?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to use division to determine the number of full boxes and the remainder.","Ask students to explain why the remainder represents the leftover strings.","Discuss real-world contexts where remainders are important, like grouping or packing items."]}


example_id: lp_01K92DV7EMBH8P26W2QSBKYRDY_01K92DV8N6742SV81BSM9TCDZ5_CONTEMPLATIVE_QUESTION
skills: ["Division of whole numbers with a remainder"]
skill_ids: ["VHtYBsCVDqLpOkbVHWWx"]
subtopics: ["Division"]
subtopic_ids: ["subtopic_01GTC0BKW1XZXBK9NSWCA3073X"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"A farmer has 29 apples to pack into boxes of 5. How many full boxes can he make? How many apples are left?","teacherTips":["29 ÷ 5 = 5 R4. The farmer makes 5 full boxes, with 4 apples left over."],"difficulty":"mild"}


example_id: lp_01K92DV7EMBH8P26W2QSBKYRDY_01K92DV8N6742SV81BSX2BPWR5_CONTEMPLATIVE_QUESTION
skills: ["Division of whole numbers with a remainder"]
skill_ids: ["VHtYBsCVDqLpOkbVHWWx"]
subtopics: ["Division"]
subtopic_ids: ["subtopic_01GTC0BKW1XZXBK9NSWCA3073X"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"You have $87$ candies to share equally among $8$ friends. How could you divide them? What is left over?","teacherTips":["$87 \\div 8 = 10$ with a remainder of $7$. Each friend gets $10$ candies, and $7$ are left over."],"difficulty":"spicy"}


example_id: lp_01K92DV7EMBH8P26W2QSBKYRDY_01K92DV8N6742SV81BSRZ6NCY2_MULTIPLE_CHOICE_QUESTION
skills: ["Division of whole numbers with a remainder"]
skill_ids: ["VHtYBsCVDqLpOkbVHWWx"]
subtopics: ["Division"]
subtopic_ids: ["subtopic_01GTC0BKW1XZXBK9NSWCA3073X"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: spicy
example_output_json:
{"question":"A group of 83 students is divided into 6 equal teams. How many students will each team have, and how many will remain ungrouped?","answerOptions":["13 students in each team and 5 ungrouped","14 students in each team and 5 ungrouped","13 students in each team and 8 ungrouped","14 students in each team and 8 ungrouped"],"answer":"13 students in each team and 5 ungrouped","difficulty":"spicy"}


example_id: lp_01K92DV7EMBH8P26W2QSBKYRDY_01K92DV8N6742SV81BSHE68T3V_MULTIPLE_CHOICE_QUESTION
skills: ["Division of whole numbers with a remainder"]
skill_ids: ["VHtYBsCVDqLpOkbVHWWx"]
subtopics: ["Division"]
subtopic_ids: ["subtopic_01GTC0BKW1XZXBK9NSWCA3073X"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is the remainder of $23 \\div 4$?","answerOptions":["$1$","$2$","$3$","$4$"],"answer":"$3$","difficulty":"mild"}


example_id: lp_01K92DV7EMBH8P26W2QSBKYRDY_01K92DV8N6742SV81BSBYPR8KR_MULTIPLE_CHOICE_QUESTION
skills: ["Division of whole numbers with a remainder"]
skill_ids: ["VHtYBsCVDqLpOkbVHWWx"]
subtopics: ["Division"]
subtopic_ids: ["subtopic_01GTC0BKW1XZXBK9NSWCA3073X"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is the remainder when $23$ is divided by $5$?","answerOptions":["$1$","$2$","$3$","$4$"],"answer":"$3$","difficulty":"mild"}


example_id: lp_01K92DV7EMBH8P26W2QSBKYRDY_01K92DV87FAB1AV31H1PXXFFFP_SCAFFOLDED_QUESTION
skills: ["Division of whole numbers with a remainder"]
skill_ids: ["VHtYBsCVDqLpOkbVHWWx"]
subtopics: ["Division"]
subtopic_ids: ["subtopic_01GTC0BKW1XZXBK9NSWCA3073X"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore challenging division problems involving remainders and reasoning.","questions":[{"answer":"Answers will vary; example: $145 \\div 14$","question":"What is the remainder when $157$ is divided by $12$?"},{"answer":"$1$","question":"What is the remainder when $1\\,234$ is divided by $45$?"},{"answer":"$19$","question":"Create a division problem where the remainder is $5$ when dividing a number by $14$. Explain your reasoning."}],"difficulty":"extension"}


example_id: lp_01K92DV7EMBH8P26W2QSBKYRDY_01K92DV87FAB1AV31H1N8Y876J_SCAFFOLDED_QUESTION
skills: ["Division of whole numbers with a remainder"]
skill_ids: ["VHtYBsCVDqLpOkbVHWWx"]
subtopics: ["Division"]
subtopic_ids: ["subtopic_01GTC0BKW1XZXBK9NSWCA3073X"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will practice dividing whole numbers and finding the remainder. A remainder is what is left over after division.","questions":[{"answer":"$5$","question":"What is the remainder when $17$ is divided by $5$?"},{"answer":"$1$","question":"What is the remainder when $31$ is divided by $6$?"},{"answer":"$2$","question":"What is the remainder when $45$ is divided by $8$?"}],"difficulty":"enabling"}


example_id: lp_01K92J20XR0AG1G9W0J4PK5C91_01K92J21YFYZ3NCE75V7K4NGHR_CONTEMPLATIVE_QUESTION
skills: ["Identifying equivalent fractions"]
skill_ids: ["N3nGVv9zWLOcxv5X5GHp"]
subtopics: ["Representing Fractions"]
subtopic_ids: ["subtopic_01GTC0BMXNKFXD40A49ECB6PVM"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: Cars
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You have $\\frac{3}{4}$ of a pizza. What other fractions are equal to $\\frac{3}{4}$? How do you know?","teacherTips":["Guide students to multiply numerator and denominator by the same number.","Encourage use of visual aids like fraction bars or drawings.","Discuss why multiplying both parts keeps the fraction's value the same."],"difficulty":"mild"}


example_id: lp_01K92J20XR0AG1G9W0J4PK5C91_01K92J21YFYZ3NCE75VE88A9XP_EXIT_TICKET
skills: ["Identifying equivalent fractions"]
skill_ids: ["N3nGVv9zWLOcxv5X5GHp"]
subtopics: ["Representing Fractions"]
subtopic_ids: ["subtopic_01GTC0BMXNKFXD40A49ECB6PVM"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: Cars
class_year: 4
country: US
period_number: 4
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"Yes","question":"A car’s fuel gauge shows $\\frac{1}{2}$ of a tank. Is this equivalent to $\\frac{2}{4}$?"},{"answer":"Yes","question":"A car drives $\\frac{3}{5}$ of a trip. Is $\\frac{6}{10}$ an equivalent fraction to $\\frac{3}{5}$?"},{"answer":"$\\frac{10}{16}, \\frac{15}{24}$","question":"A car completes $\\frac{5}{8}$ of a race. Can you find $2$ fractions equivalent to $\\frac{5}{8}$?"}]}


example_id: lp_01K92J20XR0AG1G9W0J4PK5C91_01K92J21YFYZ3NCE75TYBKV2RD_ACTIVITY
skills: ["Identifying equivalent fractions"]
skill_ids: ["N3nGVv9zWLOcxv5X5GHp"]
subtopics: ["Representing Fractions"]
subtopic_ids: ["subtopic_01GTC0BMXNKFXD40A49ECB6PVM"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: Cars
class_year: 4
country: US
period_number: 4
node_type: ACTIVITY
example_output_json:
{"header":"Fraction Match-Up Game\nMatch fractions that are equal! Work together to find pairs of equivalent fractions.","scenario":"Steps\n1. Each student creates $6$ fraction cards (e.g., $\\frac{1}{2}$, $\\frac{2}{4}$).\n2. In groups, shuffle all cards and spread them face down on the table.\n3. Take turns flipping two cards and check if the fractions are equivalent.\n4. If they match, keep the pair and earn $1$ point. If not, flip them back.\n5. The team with the most points after all pairs are found wins!","steps":["Discussion\n• What strategies did you use to find equivalent fractions?\n• How can you tell if two fractions are equivalent without simplifying?","Differentiation Opportunities\n• Support: Provide hints by listing common equivalent fractions (e.g., $\\frac{1}{2}$, $\\frac{2}{4}$).\n• Extend: Challenge students to create and match more complex fractions (e.g., $\\frac{3}{6}$, $\\frac{12}{24}$)."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K92J20XR0AG1G9W0J4PK5C91_01K92J21YFYZ3NCE75V9BYD0M8_THOUGHT_SPARKER
skills: ["Identifying equivalent fractions"]
skill_ids: ["N3nGVv9zWLOcxv5X5GHp"]
subtopics: ["Representing Fractions"]
subtopic_ids: ["subtopic_01GTC0BMXNKFXD40A49ECB6PVM"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: Cars
class_year: 4
country: US
period_number: 4
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"In a parking lot, $8$ out of $16$ cars are red, and $4$ out of $8$ cars are blue.","firstSentence":"How could you prove that the fraction of red cars is equivalent to the fraction of blue cars?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to simplify both fractions to their lowest terms and compare.","Use visual aids like fraction bars or circles to help students see the equivalence.","Discuss real-world contexts where equivalent fractions might be useful, such as sharing or dividing items evenly."]}


example_id: lp_01K92J20XR0AG1G9W0J4PK5C91_01K92J21YFYZ3NCE75TRNTE415_APPLICATION
skills: ["Identifying equivalent fractions"]
skill_ids: ["N3nGVv9zWLOcxv5X5GHp"]
subtopics: ["Representing Fractions"]
subtopic_ids: ["subtopic_01GTC0BMXNKFXD40A49ECB6PVM"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: Cars
class_year: 4
country: US
period_number: 4
node_type: APPLICATION
example_output_json:
{"title":"Finding Equivalent Fractions in Car Efficiency","example1Header":"Situation\nCar engineers compare fuel efficiency using fractions. They find equivalent fractions to understand miles per gallon (MPG) ratios across models.","example1Body":"Example\nA car with $1/4$ gallons per mile matches another with $2/8$. Simplify $2/8$ by dividing numerator and denominator by $2$: $2/8 = 1/4$. Both cars are equally efficient.","example2Header":"","example2Body":""}


example_id: lp_01K92J2VSNDKAKZXB4ZPRP1R8V_01K92J2X4Z4AP49KEG8QE8264P_CONTEMPLATIVE_QUESTION
skills: ["Identifying equivalent fractions"]
skill_ids: ["N3nGVv9zWLOcxv5X5GHp"]
subtopics: ["Representing Fractions"]
subtopic_ids: ["subtopic_01GTC0BMXNKFXD40A49ECB6PVM"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"You have a pizza cut into $12$ slices. What are all the ways you can share the pizza equally using equivalent fractions?","teacherTips":["Fractions like $\\frac{6}{12}$, $\\frac{4}{12}$, and $\\frac{3}{12}$ simplify to $\\frac{1}{2}$, $\\frac{1}{3}$, $\\frac{1}{4}$."],"difficulty":"hot"}


example_id: lp_01K92J2VSNDKAKZXB4ZPRP1R8V_01K92J2X4YZSCQCPRHSRAZWMBN_MULTIPLE_CHOICE_QUESTION
skills: ["Identifying equivalent fractions"]
skill_ids: ["N3nGVv9zWLOcxv5X5GHp"]
subtopics: ["Representing Fractions"]
subtopic_ids: ["subtopic_01GTC0BMXNKFXD40A49ECB6PVM"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"Which of the following fractions is equivalent to $\\frac{2}{3}$?","answerOptions":["$\\frac{4}{6}$","$\\frac{3}{5}$","$\\frac{5}{8}$","$\\frac{3}{4}$"],"answer":"$\\frac{4}{6}$","difficulty":"mild"}


example_id: lp_01K92J2VSNDKAKZXB4ZPRP1R8V_01K92J2X4YZSCQCPRHSZVN2SWX_MULTIPLE_CHOICE_QUESTION
skills: ["Identifying equivalent fractions"]
skill_ids: ["N3nGVv9zWLOcxv5X5GHp"]
subtopics: ["Representing Fractions"]
subtopic_ids: ["subtopic_01GTC0BMXNKFXD40A49ECB6PVM"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"Which of the following is equivalent to $\\frac{3}{6}$?","answerOptions":["$\\frac{2}{4}$","$\\frac{1}{2}$","$\\frac{4}{6}$","$\\frac{3}{9}$"],"answer":"$\\frac{1}{2}$","difficulty":"mild"}


example_id: lp_01K92J2VSNDKAKZXB4ZPRP1R8V_01K92J2X4Z4AP49KEG8EEA4BXB_MULTIPLE_CHOICE_QUESTION
skills: ["Identifying equivalent fractions"]
skill_ids: ["N3nGVv9zWLOcxv5X5GHp"]
subtopics: ["Representing Fractions"]
subtopic_ids: ["subtopic_01GTC0BMXNKFXD40A49ECB6PVM"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"Which of the following is equivalent to $\\frac{3}{6}$?","answerOptions":["$\\frac{1}{2}$","$\\frac{2}{6}$","$\\frac{3}{3}$","$\\frac{6}{6}$"],"answer":"$\\frac{1}{2}$","difficulty":"mild"}


example_id: lp_01K92J2VSNDKAKZXB4ZPRP1R8V_01K92J2X4Z4AP49KEG8GGV50ZW_CONTEMPLATIVE_QUESTION
skills: ["Identifying equivalent fractions"]
skill_ids: ["N3nGVv9zWLOcxv5X5GHp"]
subtopics: ["Representing Fractions"]
subtopic_ids: ["subtopic_01GTC0BMXNKFXD40A49ECB6PVM"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You have $\\frac{2}{4}$ of a pizza. What other fractions could represent the same amount? Explain why.","teacherTips":["Fractions like $\\frac{1}{2}$ or $\\frac{4}{8}$ are equivalent to $\\frac{2}{4}$ as they represent the same value."],"difficulty":"mild"}


example_id: lp_01K92J2VSNDKAKZXB4ZPRP1R8V_01K92J2WPNES8HCR9WNB6EQP1J_SCAFFOLDED_QUESTION
skills: ["Identifying equivalent fractions"]
skill_ids: ["N3nGVv9zWLOcxv5X5GHp"]
subtopics: ["Representing Fractions"]
subtopic_ids: ["subtopic_01GTC0BMXNKFXD40A49ECB6PVM"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn to identify equivalent fractions. Equivalent fractions represent the same value, even if their numerators and denominators are different.","questions":[{"answer":"$\\frac{6}{10}$","question":"Which fraction is equivalent to $\\frac{1}{2}$?\nHint: Multiply both numerator and denominator by the same number to find an equivalent fraction."},{"answer":"$\\frac{1}{3}$","question":"Which fraction is equivalent to $\\frac{6}{9}$?\nHint: Divide both numerator and denominator by their greatest common factor."},{"answer":"$\\frac{2}{4}$","question":"Find an equivalent fraction for $\\frac{3}{5}$ by multiplying both numerator and denominator by $2$."}],"difficulty":"enabling"}


example_id: lp_01K92J2VSNDKAKZXB4ZPRP1R8V_01K92J2WPNES8HCR9WNE7FYFNJ_SCAFFOLDED_QUESTION
skills: ["Identifying equivalent fractions"]
skill_ids: ["N3nGVv9zWLOcxv5X5GHp"]
subtopics: ["Representing Fractions"]
subtopic_ids: ["subtopic_01GTC0BMXNKFXD40A49ECB6PVM"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore and justify the concept of equivalent fractions using reasoning and number relationships.","questions":[{"answer":"Answers will vary; justification must use valid reasoning.","question":"What fraction is equivalent to $\\frac{3}{4}$ when both the numerator and denominator are multiplied by $5$?"},{"answer":"$\\frac{15}{20}$","question":"What fraction is equivalent to $\\frac{18}{24}$ when both numerator and denominator are divided by their greatest common factor?"},{"answer":"$\\frac{3}{4}$","question":"Explain why $\\frac{4}{6}$ and $\\frac{2}{3}$ are equivalent fractions. Use multiplication or division in your explanation."}],"difficulty":"extension"}


example_id: lp_01K92J7QHCTXFZDX1155S5MHSK_01K92J7RH7RT1801MEASXRRYZP_ACTIVITY
skills: ["Comparing fractions with different denominators"]
skill_ids: ["plLe6kpj4FSRmfaM4qmo"]
subtopics: ["Fraction Basics"]
subtopic_ids: ["subtopic_01GTC0BEC5FK6J3MK5B1VKZQ22"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: High Jump
class_year: 4
country: US
period_number: 4
node_type: ACTIVITY
example_output_json:
{"header":"Fraction Line Challenge\nYou are helping design a fair game. Compare fractions to decide the rules!","scenario":"Steps\n1. Draw a number line from $0$ to $1$ on your paper.\n2. Write $4$ fractions (e.g., $\\frac{1}{2}$, $\\frac{1}{4}$, $\\frac{3}{4}$, $\\frac{2}{3}$).\n3. Mark each fraction on the number line using a ruler.\n4. Compare fractions by their positions; the larger fraction is farther right.\n5. Discuss and check your comparisons with your team.","steps":["Discussion\n• Why is it easier to compare fractions on a number line?\n• What happens if the denominators are very different?","Differentiation Opportunities\n• Support: Use fractions with the same denominator (e.g., $\\frac{2}{4}$, $\\frac{3}{4}$).\n• Extend: Try fractions like $\\frac{5}{6}$ and $\\frac{7}{8}$ with close values."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K92J7QHCTXFZDX1155S5MHSK_01K92J7RH7RT1801MEB5227WCV_CONTEMPLATIVE_QUESTION
skills: ["Comparing fractions with different denominators"]
skill_ids: ["plLe6kpj4FSRmfaM4qmo"]
subtopics: ["Fraction Basics"]
subtopic_ids: ["subtopic_01GTC0BEC5FK6J3MK5B1VKZQ22"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: High Jump
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You have $\\frac{3}{4}$ of a pizza and your friend has $\\frac{5}{6}$ of a pizza. How can you compare these fractions to decide who has more pizza? Can you show the comparison in at least two different ways?","teacherTips":["Remind students to find a common denominator to compare $\\frac{3}{4}$ and $\\frac{5}{6}$.","Encourage visual methods like drawing fraction bars or circles.","Discuss why finding equivalent fractions helps with comparison."],"difficulty":"mild"}


example_id: lp_01K92J7QHCTXFZDX1155S5MHSK_01K92J7RH7RT1801MEBB9H03P6_EXIT_TICKET
skills: ["Comparing fractions with different denominators"]
skill_ids: ["plLe6kpj4FSRmfaM4qmo"]
subtopics: ["Fraction Basics"]
subtopic_ids: ["subtopic_01GTC0BEC5FK6J3MK5B1VKZQ22"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: High Jump
class_year: 4
country: US
period_number: 4
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"Emily","question":"In a high jump competition, Emily jumps $\\frac{3}{4}$ meters and Anna jumps $\\frac{2}{3}$ meters. Who jumped higher?"},{"answer":"Jake","question":"In a high jump event, Jake cleared $\\frac{5}{6}$ meters, while Liam cleared $\\frac{7}{9}$ meters. Who jumped higher?"},{"answer":"Sophia","question":"In a high jump, Sophia cleared $\\frac{7}{8}$ meters and Mia cleared $\\frac{5}{6}$ meters. Who jumped higher?"}]}


example_id: lp_01K92J7QHCTXFZDX1155S5MHSK_01K92J7RH7RT1801MEB776ER8G_THOUGHT_SPARKER
skills: ["Comparing fractions with different denominators"]
skill_ids: ["plLe6kpj4FSRmfaM4qmo"]
subtopics: ["Fraction Basics"]
subtopic_ids: ["subtopic_01GTC0BEC5FK6J3MK5B1VKZQ22"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: High Jump
class_year: 4
country: US
period_number: 4
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"Two athletes are attempting the high jump. One jumps $3/4$ of a meter, and the other jumps $5/6$ of a meter.","firstSentence":"Who jumped higher and how do you know?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to find a common denominator to compare the fractions.","Ask students to use visual models, like fraction bars or number lines, to support their reasoning.","Discuss strategies for estimating fraction sizes without full calculations to build number sense."]}


example_id: lp_01K92J7QHCTXFZDX1155S5MHSK_01K92J7RH7RT1801MEANCYF9HM_APPLICATION
skills: ["Comparing fractions with different denominators"]
skill_ids: ["plLe6kpj4FSRmfaM4qmo"]
subtopics: ["Fraction Basics"]
subtopic_ids: ["subtopic_01GTC0BEC5FK6J3MK5B1VKZQ22"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: High Jump
class_year: 4
country: US
period_number: 4
node_type: APPLICATION
example_output_json:
{"title":"Comparing Fractions in High Jump Strategies","example1Header":"Situation\nHigh jump coaches analyze athletes' performances and compare fractions of their achieved height to the bar's set height to improve techniques.","example1Body":"Example\nAthlete A jumped $3/4$ of the bar height, and Athlete B jumped $5/6$. Converting to $12$ths: $3/4 = 9/12$, $5/6 = 10/12$. Athlete B cleared more as $10/12 \u003e 9/12$.","example2Header":"","example2Body":""}


example_id: lp_01K92J8EXFC3Z70J8EBHJSWRM6_01K92J8G2ZPKPBJ4CZ466G2ZE3_CONTEMPLATIVE_QUESTION
skills: ["Comparing fractions with different denominators"]
skill_ids: ["plLe6kpj4FSRmfaM4qmo"]
subtopics: ["Fraction Basics"]
subtopic_ids: ["subtopic_01GTC0BEC5FK6J3MK5B1VKZQ22"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"How would you compare $3/4$ of a pizza to $5/6$ of a pizza? Use pictures or numbers to explain.","teacherTips":["$3/4 = 9/12$ and $5/6 = 10/12$. Since $10/12 \u003e 9/12$, $5/6$ is larger."],"difficulty":"hot"}


example_id: lp_01K92J8EXFC3Z70J8EBHJSWRM6_01K92J8G2ZPKPBJ4CZ4BQSQM84_MULTIPLE_CHOICE_QUESTION
skills: ["Comparing fractions with different denominators"]
skill_ids: ["plLe6kpj4FSRmfaM4qmo"]
subtopics: ["Fraction Basics"]
subtopic_ids: ["subtopic_01GTC0BEC5FK6J3MK5B1VKZQ22"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"Which of these fractions is smaller?","answerOptions":["$\\frac{5}{8}$","$\\frac{3}{4}$","$\\frac{2}{3}$","$\\frac{7}{8}$"],"answer":"$\\frac{5}{8}$","difficulty":"hot"}


example_id: lp_01K92J8EXFC3Z70J8EBHJSWRM6_01K92J8G2ZPKPBJ4CZ4GJY1247_MULTIPLE_CHOICE_QUESTION
skills: ["Comparing fractions with different denominators"]
skill_ids: ["plLe6kpj4FSRmfaM4qmo"]
subtopics: ["Fraction Basics"]
subtopic_ids: ["subtopic_01GTC0BEC5FK6J3MK5B1VKZQ22"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: spicy
example_output_json:
{"question":"Which of these fractions is larger: $\\frac{7}{12}$ or $\\frac{5}{9}$?","answerOptions":["$\\frac{7}{12}$","$\\frac{5}{9}$","$\\frac{1}{2}$","$\\frac{3}{4}$"],"answer":"$\\frac{7}{12}$","difficulty":"spicy"}


example_id: lp_01K92J8EXFC3Z70J8EBHJSWRM6_01K92J8G2ZPKPBJ4CZ4D293B7Y_CONTEMPLATIVE_QUESTION
skills: ["Comparing fractions with different denominators"]
skill_ids: ["plLe6kpj4FSRmfaM4qmo"]
subtopics: ["Fraction Basics"]
subtopic_ids: ["subtopic_01GTC0BEC5FK6J3MK5B1VKZQ22"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"Create a story where you compare $\\frac{3}{4}$ of one item and $\\frac{5}{8}$ of another. How would you explain which is more, and why?","teacherTips":["$\\frac{3}{4}$ is equal to $\\frac{6}{8}$, so $\\frac{5}{8}$ is less because $6 \u003e 5$ when denominators are the same."],"difficulty":"spicy"}


example_id: lp_01K92J8EXFC3Z70J8EBHJSWRM6_01K92J8G2ZPKPBJ4CZ3ZJAK4YY_MULTIPLE_CHOICE_QUESTION
skills: ["Comparing fractions with different denominators"]
skill_ids: ["plLe6kpj4FSRmfaM4qmo"]
subtopics: ["Fraction Basics"]
subtopic_ids: ["subtopic_01GTC0BEC5FK6J3MK5B1VKZQ22"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"Which fraction is greater: $\\frac{3}{4}$ or $\\frac{2}{3}$?","answerOptions":["$\\frac{3}{4}$","$\\frac{2}{3}$","They are equal","Cannot be determined"],"answer":"$\\frac{3}{4}$","difficulty":"mild"}


example_id: lp_01K92J8EXFC3Z70J8EBHJSWRM6_01K92J8FNB63FSN2RCKS67ZQX7_SCAFFOLDED_QUESTION
skills: ["Comparing fractions with different denominators"]
skill_ids: ["plLe6kpj4FSRmfaM4qmo"]
subtopics: ["Fraction Basics"]
subtopic_ids: ["subtopic_01GTC0BEC5FK6J3MK5B1VKZQ22"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn how to compare fractions with different denominators by finding a common denominator.","questions":[{"answer":"$3/6$","question":"What is the common denominator of $1/2$ and $1/3$?\nHint: A common denominator is a number both $2$ and $3$ can divide into evenly."},{"answer":"$3$","question":"Convert $1/2$ to a fraction with a denominator of $6$.\nHint: Multiply both the numerator and the denominator by the same number."},{"answer":"$4$","question":"Which is greater: $3/6$ or $2/6$? Explain how you know."}],"difficulty":"enabling"}


example_id: lp_01K92J8EXFC3Z70J8EBHJSWRM6_01K92J8FNB63FSN2RCKYJR1ZV5_SCAFFOLDED_QUESTION
skills: ["Comparing fractions with different denominators"]
skill_ids: ["plLe6kpj4FSRmfaM4qmo"]
subtopics: ["Fraction Basics"]
subtopic_ids: ["subtopic_01GTC0BEC5FK6J3MK5B1VKZQ22"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Challenge: Compare fractions with different denominators and justify your reasoning.","questions":[{"answer":"$7/10$ (milk)","question":"Which is greater: $3/4$ or $5/8$?"},{"answer":"$3/4$","question":"Arrange these fractions in ascending order: $7/12$, $5/8$, $2/3$."},{"answer":"$7/12, 5/8, 2/3$","question":"A recipe calls for $3/5$ of a cup of sugar, $2/3$ of a cup of flour, and $7/10$ of a cup of milk.\nWhich ingredient has the largest amount?\nExplain your reasoning."}],"difficulty":"extension"}


example_id: lp_01K92JD442N1RWRN7K3YXAGHYC_01K92JD5679XBVEXKS5QCDV7TQ_CONTEMPLATIVE_QUESTION
skills: ["Converting between mixed numbers and fractions","Representing mixed numbers using shapes"]
skill_ids: ["pXsYuDd4btkefrpO1JTQ","I4m0H5WObgSDbLlrMkal"]
subtopics: ["Representing Fractions"]
subtopic_ids: ["subtopic_01GTC0BMXNKFXD40A49ECB6PVM"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: NFL
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"If you have $1\\frac{3}{4}$ pizza, how would you show it using whole pizzas and parts? Can you also write it as an improper fraction?","teacherTips":["Use drawings to represent $1\\frac{3}{4}$ with 1 whole and 3 out of 4 parts shaded.","Explain how to convert $1\\frac{3}{4}$ to an improper fraction: $\\frac{7}{4}$.","Encourage students to connect shapes to numbers for better understanding."],"difficulty":"mild"}


example_id: lp_01K92JD442N1RWRN7K3YXAGHYC_01K92JD5679XBVEXKS5YFTXHTX_EXIT_TICKET
skills: ["Converting between mixed numbers and fractions","Representing mixed numbers using shapes"]
skill_ids: ["pXsYuDd4btkefrpO1JTQ","I4m0H5WObgSDbLlrMkal"]
subtopics: ["Representing Fractions"]
subtopic_ids: ["subtopic_01GTC0BMXNKFXD40A49ECB6PVM"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: NFL
class_year: 4
country: US
period_number: 4
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$2, 1$","question":"An NFL team uses $3$ footballs to represent $1 \\frac{1}{2}$; how many footballs are used for the whole part and how many for the fraction?"},{"answer":"$\\frac{23}{5}$","question":"If an NFL player runs $4 \\frac{3}{5}$ miles, how many fifths does he run in total?"},{"answer":"$\\frac{23}{8}$","question":"An NFL player drinks $2 \\frac{7}{8}$ liters of water during a game. Write the amount as an improper fraction."}]}


example_id: lp_01K92JD442N1RWRN7K3YXAGHYC_01K92JD5679XBVEXKS5DHN9Z17_ACTIVITY
skills: ["Converting between mixed numbers and fractions","Representing mixed numbers using shapes"]
skill_ids: ["pXsYuDd4btkefrpO1JTQ","I4m0H5WObgSDbLlrMkal"]
subtopics: ["Representing Fractions"]
subtopic_ids: ["subtopic_01GTC0BMXNKFXD40A49ECB6PVM"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: NFL
class_year: 4
country: US
period_number: 4
node_type: ACTIVITY
example_output_json:
{"header":"Pizza Fraction Fun\nYou're splitting pizzas for a big party! Represent and convert pizza slices.","scenario":"Steps\n1. Draw $3$ pizzas on paper, each divided into $4$ equal slices.\n2. Shade $2$ whole pizzas and $3$ slices on the third pizza.\n3. Write the mixed number for your shaded sections.\n4. Convert your mixed number into an improper fraction.\n5. Check your work with your team and explain your thinking.","steps":["Discussion\n• How does the number of slices affect the fraction?\n• Why does the denominator stay the same when converting?","Differentiation Opportunities\n• Support: Use pizzas divided into $2$ slices for simpler fractions.\n• Extend: Try converting improper fractions back into mixed numbers."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K92JD442N1RWRN7K3YXAGHYC_01K92JD5679XBVEXKS5SVC7EFY_THOUGHT_SPARKER
skills: ["Converting between mixed numbers and fractions","Representing mixed numbers using shapes"]
skill_ids: ["pXsYuDd4btkefrpO1JTQ","I4m0H5WObgSDbLlrMkal"]
subtopics: ["Representing Fractions"]
subtopic_ids: ["subtopic_01GTC0BMXNKFXD40A49ECB6PVM"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: NFL
class_year: 4
country: US
period_number: 4
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"In a football game, the quarterback throws a pass that covers $2 \\frac{3}{4}$ yards on the field.","firstSentence":"How could you represent this distance using shapes to show the whole yards and the fractional part?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to use rectangles or number lines to represent whole yards and fractions.","Discuss how the denominator relates to dividing shapes into equal parts.","Ask students to explain how their representation shows the mixed number clearly."]}


example_id: lp_01K92JD442N1RWRN7K3YXAGHYC_01K92JD5679XBVEXKS597DW5FA_APPLICATION
skills: ["Converting between mixed numbers and fractions","Representing mixed numbers using shapes"]
skill_ids: ["pXsYuDd4btkefrpO1JTQ","I4m0H5WObgSDbLlrMkal"]
subtopics: ["Representing Fractions"]
subtopic_ids: ["subtopic_01GTC0BMXNKFXD40A49ECB6PVM"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: NFL
class_year: 4
country: US
period_number: 4
node_type: APPLICATION
example_output_json:
{"title":"Mixed Numbers in NFL Yardage Gains","example1Header":"Situation\nNFL coaches analyze yard gains during games. Mixed numbers represent whole yards and fractional parts gained in complex plays.","example1Body":"Example\nNFL analysts represent $2 \\frac{1}{4}$ yards using shapes. Shade $2$ full rectangles for whole yards, then divide another into $4$ parts and shade $1$ for $\\frac{1}{4}$.","example2Header":"","example2Body":""}


example_id: lp_01K92JF464YYXYCFCXQ9W7X99R_01K92JF5FDJVRJ4ANV8GGYWF5G_CONTEMPLATIVE_QUESTION
skills: ["Representing mixed numbers using shapes","Converting between mixed numbers and fractions"]
skill_ids: ["I4m0H5WObgSDbLlrMkal","pXsYuDd4btkefrpO1JTQ"]
subtopics: ["Representing Fractions"]
subtopic_ids: ["subtopic_01GTC0BMXNKFXD40A49ECB6PVM"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"How could you use drawings of rectangles to show $2 \\frac{3}{4}$ in different ways? Explain.","teacherTips":["Divide $2$ rectangles into $4$ parts each, shade fully, then shade $3$ parts of another rectangle."],"difficulty":"hot"}


example_id: lp_01K92JF464YYXYCFCXQ9W7X99R_01K92JF5FDJVRJ4ANV8C7Q6ARX_MULTIPLE_CHOICE_QUESTION
skills: ["Representing mixed numbers using shapes","Converting between mixed numbers and fractions"]
skill_ids: ["I4m0H5WObgSDbLlrMkal","pXsYuDd4btkefrpO1JTQ"]
subtopics: ["Representing Fractions"]
subtopic_ids: ["subtopic_01GTC0BMXNKFXD40A49ECB6PVM"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What does the mixed number $2 \\frac{1}{4}$ represent?","answerOptions":["$2$ whole parts and $1$ out of $4$ of another part","$2$ whole parts and $1$ out of $2$ of another part","$1$ whole part and $2$ out of $4$ of another part","$2$ whole parts and $4$ out of $1$ of another part"],"answer":"$2$ whole parts and $1$ out of $4$ of another part","difficulty":"mild"}


example_id: lp_01K92JF464YYXYCFCXQ9W7X99R_01K92JF5FDJVRJ4ANV940ZRCXT_MULTIPLE_CHOICE_QUESTION
skills: ["Representing mixed numbers using shapes","Converting between mixed numbers and fractions"]
skill_ids: ["I4m0H5WObgSDbLlrMkal","pXsYuDd4btkefrpO1JTQ"]
subtopics: ["Representing Fractions"]
subtopic_ids: ["subtopic_01GTC0BMXNKFXD40A49ECB6PVM"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"Convert the mixed number $3 \\frac{1}{4}$ into an improper fraction.","answerOptions":["$13 \\frac{1}{4}$","$\\frac{7}{4}$","$\\frac{13}{4}$","$\\frac{9}{4}$"],"answer":"$\\frac{13}{4}$","difficulty":"mild"}


example_id: lp_01K92JF464YYXYCFCXQ9W7X99R_01K92JF5FDJVRJ4ANV9849WYSY_CONTEMPLATIVE_QUESTION
skills: ["Representing mixed numbers using shapes","Converting between mixed numbers and fractions"]
skill_ids: ["I4m0H5WObgSDbLlrMkal","pXsYuDd4btkefrpO1JTQ"]
subtopics: ["Representing Fractions"]
subtopic_ids: ["subtopic_01GTC0BMXNKFXD40A49ECB6PVM"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"How could you explain $2 \\frac{1}{4}$ as an improper fraction? Could it be shown with pictures or shapes?","teacherTips":["$2 \\frac{1}{4} = \\frac{9}{4}$ because $2 = \\frac{8}{4}$ and adding $\\frac{1}{4}$ gives $\\frac{9}{4}$."],"difficulty":"hot"}


example_id: lp_01K92JF464YYXYCFCXQ9W7X99R_01K92JF5FDJVRJ4ANV90W5XNY0_MULTIPLE_CHOICE_QUESTION
skills: ["Representing mixed numbers using shapes","Converting between mixed numbers and fractions"]
skill_ids: ["I4m0H5WObgSDbLlrMkal","pXsYuDd4btkefrpO1JTQ"]
subtopics: ["Representing Fractions"]
subtopic_ids: ["subtopic_01GTC0BMXNKFXD40A49ECB6PVM"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is the improper fraction equivalent of $2\\frac{1}{4}$?","answerOptions":["$9/4$","$7/4$","$5/4$","$8/4$"],"answer":"$9/4$","difficulty":"mild"}


example_id: lp_01K92JF464YYXYCFCXQ9W7X99R_01K92JF5010V27C0Q9M42D4XBB_SCAFFOLDED_QUESTION
skills: ["Representing mixed numbers using shapes","Converting between mixed numbers and fractions"]
skill_ids: ["I4m0H5WObgSDbLlrMkal","pXsYuDd4btkefrpO1JTQ"]
subtopics: ["Representing Fractions"]
subtopic_ids: ["subtopic_01GTC0BMXNKFXD40A49ECB6PVM"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will represent and understand mixed numbers using whole shapes and parts of a shape.","questions":[{"answer":"$\\frac{7}{3}$","question":"Which of the following is a mixed number?"},{"answer":"$2 \\frac{1}{3}$","question":"A rectangle is divided into $4$ equal parts. Three parts are shaded, and there is one whole rectangle. What mixed number does this represent?"},{"answer":"$\\frac{3}{4}$","question":"Convert the mixed number $2 \\frac{1}{3}$ into an improper fraction.\nRemember to multiply the whole number by the denominator and add the numerator."}],"difficulty":"enabling"}


example_id: lp_01K92JF464YYXYCFCXQ9W7X99R_01K92JF5010V27C0Q9M551T55K_SCAFFOLDED_QUESTION
skills: ["Representing mixed numbers using shapes","Converting between mixed numbers and fractions"]
skill_ids: ["I4m0H5WObgSDbLlrMkal","pXsYuDd4btkefrpO1JTQ"]
subtopics: ["Representing Fractions"]
subtopic_ids: ["subtopic_01GTC0BMXNKFXD40A49ECB6PVM"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore the relationship between mixed numbers and improper fractions in challenging scenarios.","questions":[{"answer":"Answers will vary based on reasoning provided.","question":"Convert the mixed number $3\\frac{2}{5}$ into an improper fraction."},{"answer":"$\\frac{17}{5}$","question":"Convert the improper fraction $\\frac{23}{6}$ into a mixed number."},{"answer":"$3\\frac{5}{6}$","question":"A recipe calls for $7\\frac{3}{4}$ cups of flour. Explain whether it is more useful to leave it as a mixed number or convert it to an improper fraction when measuring ingredients, and why."}],"difficulty":"extension"}


example_id: lp_01K92JM672NW42H2A2M2FFK6HR_01K92JM7DY62Q0235G6BCX7V6W_THOUGHT_SPARKER
skills: ["Multiplying fractions"]
skill_ids: ["UginYd135AAJocFrOoSj"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: Robotics
class_year: 4
country: US
period_number: 4
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"A robot uses $\\frac{1}{3}$ of its battery for cleaning and $\\frac{1}{4}$ of that amount for polishing surfaces.","firstSentence":"How much of the robot's battery is used for polishing surfaces?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to visualize the problem using fraction models or diagrams.","Discuss why multiplying fractions gives the smaller part of the whole.","Have students explain their reasoning to connect the problem to real-life scenarios like energy usage."]}


example_id: lp_01K92JM672NW42H2A2M2FFK6HR_01K92JM7DY62Q0235G5R1QEVC9_APPLICATION
skills: ["Multiplying fractions"]
skill_ids: ["UginYd135AAJocFrOoSj"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: Robotics
class_year: 4
country: US
period_number: 4
node_type: APPLICATION
example_output_json:
{"title":"Precise Movements in Robotics","example1Header":"Situation\nRobotics engineers program robots to move precise distances. They use fractions when calculating part distances for smooth and accurate movements.","example1Body":"Example\nTo calculate sideways movement, engineers multiply $1/2 \\cdot 1/3 = 1/6$. This ensures the robot moves $1/6$ of a meter accurately to the side.","example2Header":"","example2Body":""}


example_id: lp_01K92JM672NW42H2A2M2FFK6HR_01K92JM7DY62Q0235G66GKYF4P_CONTEMPLATIVE_QUESTION
skills: ["Multiplying fractions"]
skill_ids: ["UginYd135AAJocFrOoSj"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: Robotics
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You have $\\frac{2}{3}$ of a pizza and want to share it equally with a friend. How much pizza does each person get? Can you think of other ways multiplying fractions could help in sharing food?","teacherTips":["Encourage students to draw models to represent $\\frac{2}{3}$ being shared.","Discuss why multiplying by $\\frac{1}{2}$ shows sharing equally.","Relate fraction multiplication to everyday sharing scenarios."],"difficulty":"mild"}


example_id: lp_01K92JM672NW42H2A2M2FFK6HR_01K92JM7DY62Q0235G6G39GCXY_EXIT_TICKET
skills: ["Multiplying fractions"]
skill_ids: ["UginYd135AAJocFrOoSj"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: Robotics
class_year: 4
country: US
period_number: 4
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$\\frac{2}{9}$","question":"A robot's wheel rotates $\\frac{1}{3}$ of a turn every second. How far does it rotate in $\\frac{2}{3}$ of a second?"},{"answer":"$\\frac{5}{8}$","question":"A robotic arm moves $\\frac{5}{6}$ of a meter to pick up an object and repeats this motion $\\frac{3}{4}$ of the way. How far does it move?"},{"answer":"$\\frac{7}{25}$","question":"A robot assembles $\\frac{7}{10}$ of a part in $\\frac{2}{5}$ of a minute. How much of the part is assembled in that time?"}]}


example_id: lp_01K92JM672NW42H2A2M2FFK6HR_01K92JM7DY62Q0235G5V721G33_ACTIVITY
skills: ["Multiplying fractions"]
skill_ids: ["UginYd135AAJocFrOoSj"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: Robotics
class_year: 4
country: US
period_number: 4
node_type: ACTIVITY
example_output_json:
{"header":"Fraction Recipe Challenge\nYour team is resizing a recipe to serve different group sizes!","scenario":"Steps\n1. Write a simple recipe with 3 ingredients (e.g., $\\frac{1}{2}$ cup of sugar).\n2. Decide to double or halve the recipe size as a group.\n3. Multiply each ingredient by $2$ (double) or $\\frac{1}{2}$ (halve).\n4. Write the new ingredient amounts in your group recipe.\n5. Share your recipe and check each other's calculations!","steps":["Discussion\n• How does multiplying by $\\frac{1}{2}$ change the ingredient amounts?\n• Why is it important to multiply all ingredients equally?","Differentiation Opportunities\n• Support: Use only unit fractions, like $\\frac{1}{2}$ or $\\frac{1}{3}$, in the recipe.\n• Extend: Multiply by $\\frac{3}{4}$ or $\\frac{5}{3}$ to explore more complex scaling."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K92JS3Z5GJYPZFDED9C37R5R_01K92JS4VYRPFD4NCR4SX3N0QC_APPLICATION
skills: ["Understanding place value of decimals"]
skill_ids: ["01K0DE47ZA06AAW79G8WVAMPVC"]
subtopics: ["Place Value"]
subtopic_ids: ["subtopic_01GTC0BE8Z62FRVYMHDFZQQ22M"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Basketball
class_year: 4
country: US
period_number: 4
node_type: APPLICATION
example_output_json:
{"title":"Decimals in Basketball Scoring Averages","example1Header":"Situation\nBasketball coaches track players' scoring averages to evaluate performance. Averages often include decimals to show points scored per game.","example1Body":"Example\nA coach sees a player has a $25.4$ points average. The $2$ represents $20$, the $5$ equals $5$, and the $4$ stands for $0.4$, all adding to $25.4$ points.","example2Header":"","example2Body":""}


example_id: lp_01K92JS3Z5GJYPZFDED9C37R5R_01K92JS4VYRPFD4NCR5EXZ7JSB_THOUGHT_SPARKER
skills: ["Understanding place value of decimals"]
skill_ids: ["01K0DE47ZA06AAW79G8WVAMPVC"]
subtopics: ["Place Value"]
subtopic_ids: ["subtopic_01GTC0BE8Z62FRVYMHDFZQQ22M"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Basketball
class_year: 4
country: US
period_number: 4
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"In a basketball game, Player A scored $12.4$ points, and Player B scored $15.7$ points.","firstSentence":"In Player B's score, what does the $7$ represent and why is it smaller in value than the $5$?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Review the place value chart, emphasizing tenths and ones positions before the discussion.","Ask students to compare the $7$ in $15.7$ with a $7$ in the ones place of another number to highlight its value.","Encourage students to use diagrams or counters to represent decimal values visually."]}


example_id: lp_01K92JS3Z5GJYPZFDED9C37R5R_01K92JS4VYRPFD4NCR5JC38P78_EXIT_TICKET
skills: ["Understanding place value of decimals"]
skill_ids: ["01K0DE47ZA06AAW79G8WVAMPVC"]
subtopics: ["Place Value"]
subtopic_ids: ["subtopic_01GTC0BE8Z62FRVYMHDFZQQ22M"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Basketball
class_year: 4
country: US
period_number: 4
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$0.5$","question":"In a basketball game, the score is $12.5$. What does the digit $5$ in $12.5$ represent?"},{"answer":"$0.07$","question":"A basketball weighs $1.375$ kg. What is the value of the digit $7$ in $1.375$?"},{"answer":"$0.006$","question":"A team’s average score is $23.468$ points. What is the place value of the digit $6$ in $23.468$?"}]}


example_id: lp_01K92JS3Z5GJYPZFDED9C37R5R_01K92JS4VYRPFD4NCR4Z1BM54J_ACTIVITY
skills: ["Understanding place value of decimals"]
skill_ids: ["01K0DE47ZA06AAW79G8WVAMPVC"]
subtopics: ["Place Value"]
subtopic_ids: ["subtopic_01GTC0BE8Z62FRVYMHDFZQQ22M"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Basketball
class_year: 4
country: US
period_number: 4
node_type: ACTIVITY
example_output_json:
{"header":"Decimal Weight Race\nYou're sorting items by weight. Each weight has a decimal value!","scenario":"Steps\n1. Each team writes $5$ decimal numbers (e.g., $3.45$, $0.78$) on paper.\n2. Mix the numbers and race to arrange them from least to greatest.\n3. Discuss the place value of each digit in the decimals.\n4. Check your order with another team to confirm correctness.\n5. The fastest correct team wins the round!","steps":["Discussion\n• How does the position of a digit change its value?\n• Why is $0.5$ smaller than $0.8$ even though $5 \u003e 0$?","Differentiation Opportunities\n• Support: Use decimals with only one place (e.g., $0.5$, $2.3$) for easier comparison.\n• Extend: Use decimals with three places (e.g., $1.345$, $0.789$) for greater challenge."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K92JS3Z5GJYPZFDED9C37R5R_01K92JS4VYRPFD4NCR58KVM6YH_CONTEMPLATIVE_QUESTION
skills: ["Understanding place value of decimals"]
skill_ids: ["01K0DE47ZA06AAW79G8WVAMPVC"]
subtopics: ["Place Value"]
subtopic_ids: ["subtopic_01GTC0BE8Z62FRVYMHDFZQQ22M"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Basketball
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You have $4.6$ gallons of water, and it spills into smaller containers. What does the $4$ represent, and what does the $6$ represent? How might the water be split into tenths?","teacherTips":["Discuss how place value changes to the right of the decimal point.","Connect decimals to real-world measurements like water or money.","Encourage students to use models or drawings to explain their reasoning."],"difficulty":"mild"}


example_id: lp_01K92JMWG3K37MWZQA76CCKA4A_01K92JMXTERR868R6R54YER65W_MULTIPLE_CHOICE_QUESTION
skills: ["Multiplying fractions"]
skill_ids: ["UginYd135AAJocFrOoSj"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is $\\frac{1}{2} \\times 4$?","answerOptions":["$1$","$2$","$3$","$4$"],"answer":"$2$","difficulty":"mild"}


example_id: lp_01K92JMWG3K37MWZQA76CCKA4A_01K92JMXTERR868R6R5WGK9HYD_CONTEMPLATIVE_QUESTION
skills: ["Multiplying fractions"]
skill_ids: ["UginYd135AAJocFrOoSj"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"You have $\\frac{3}{4}$ of a pizza, and you eat $\\frac{2}{3}$ of what you have. How much pizza is left? How could you explain your reasoning using pictures, numbers, or words?","teacherTips":["Multiply: $\\frac{3}{4} \\times \\frac{2}{3} = \\frac{6}{12} = \\frac{1}{2}$. Half a pizza is left."],"difficulty":"spicy"}


example_id: lp_01K92JMWG3K37MWZQA76CCKA4A_01K92JMXTERR868R6R5P8MCRER_MULTIPLE_CHOICE_QUESTION
skills: ["Multiplying fractions"]
skill_ids: ["UginYd135AAJocFrOoSj"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"What is the product of $\\frac{3}{4}$ and $\\frac{2}{5}$?","answerOptions":["$\\frac{5}{20}$","$\\frac{6}{20}$","$\\frac{3}{10}$","$\\frac{6}{20}$"],"answer":"$\\frac{3}{10}$","difficulty":"hot"}


example_id: lp_01K92JMWG3K37MWZQA76CCKA4A_01K92JMXTERR868R6R60KKZRSF_MULTIPLE_CHOICE_QUESTION
skills: ["Multiplying fractions"]
skill_ids: ["UginYd135AAJocFrOoSj"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: spicy
example_output_json:
{"question":"A recipe uses $\\frac{3}{4}$ cup of sugar for one cake. If you make $\\frac{2}{3}$ of a cake, how much sugar do you need?","answerOptions":["$\\frac{1}{2}$ cup","$\\frac{3}{8}$ cup","$\\frac{5}{6}$ cup","$\\frac{9}{10}$ cup"],"answer":"$\\frac{1}{2}$ cup","difficulty":"spicy"}


example_id: lp_01K92JMWG3K37MWZQA76CCKA4A_01K92JMXTERR868R6R571H9T1C_MULTIPLE_CHOICE_QUESTION
skills: ["Multiplying fractions"]
skill_ids: ["UginYd135AAJocFrOoSj"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is $\\frac{1}{2} \\times 4$?","answerOptions":["$2$","$4$","$\\frac{1}{4}$","$\\frac{1}{8}$"],"answer":"$2$","difficulty":"mild"}


example_id: lp_01K92JMWG3K37MWZQA76CCKA4A_01K92JMXTERR868R6R5H161BS1_CONTEMPLATIVE_QUESTION
skills: ["Multiplying fractions"]
skill_ids: ["UginYd135AAJocFrOoSj"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You bake a cake and cut it into $6$ equal slices. If you give $\\frac{1}{2}$ of the cake to your friend, how many slices do they get? How would the answer change if you gave $\\frac{1}{3}$ of the cake instead?","teacherTips":["For $\\frac{1}{2}$, multiply: $\\frac{1}{2} \\times 6 = 3$ slices. For $\\frac{1}{3}$: $\\frac{1}{3} \\times 6 = 2$ slices."],"difficulty":"mild"}


example_id: lp_01K92JMWG3K37MWZQA76CCKA4A_01K92JMXCNK81YNT0611CDQ5M6_SCAFFOLDED_QUESTION
skills: ["Multiplying fractions"]
skill_ids: ["UginYd135AAJocFrOoSj"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will practice multiplying fractions. To multiply fractions, multiply the numerators (top numbers) and then the denominators (bottom numbers).","questions":[{"answer":"$\\frac{2}{5}$","question":"What is $\\frac{1}{2} \\times \\frac{1}{3}$?\nMultiply the top numbers and then the bottom numbers."},{"answer":"$\\frac{1}{6}$","question":"What is $\\frac{2}{3} \\times \\frac{3}{4}$?\nRemember to multiply the top numbers and then the bottom numbers."},{"answer":"$\\frac{2}{5}$","question":"What is $\\frac{3}{5} \\times \\frac{2}{3}$?\nSimplify your answer if possible."}],"difficulty":"enabling"}


example_id: lp_01K92JMWG3K37MWZQA76CCKA4A_01K92JMXCNK81YNT0615K46WQA_SCAFFOLDED_QUESTION
skills: ["Multiplying fractions"]
skill_ids: ["UginYd135AAJocFrOoSj"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore multiplying fractions through challenging scenarios and reasoning.","questions":[{"answer":"Proper fractions' products are smaller due to numerators.","question":"What is the product of $\\frac{3}{5}$ and $\\frac{4}{7}$?"},{"answer":"$\\frac{12}{35}$","question":"What is $1\\frac{2}{3} \\times \\frac{9}{4}$?"},{"answer":"$\\frac{15}{4}$","question":"Explain why the product of two proper fractions is always less than each of the fractions being multiplied."}],"difficulty":"extension"}


example_id: lp_01K92JSND6VFJB4GD9KA8Q8170_01K92JSPRSBBZR262V1SB3T6ZP_CONTEMPLATIVE_QUESTION
skills: ["Understanding place value of decimals"]
skill_ids: ["01K0DE47ZA06AAW79G8WVAMPVC"]
subtopics: ["Place Value"]
subtopic_ids: ["subtopic_01GTC0BE8Z62FRVYMHDFZQQ22M"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You have $4.27$, $3.5$, and $0.84$. How would you explain the value of each digit in these numbers?","teacherTips":["In $4.27$, $4$ is ones, $2$ is tenths, $7$ is hundredths. Place value gives each digit its value."],"difficulty":"mild"}


example_id: lp_01K92JSND6VFJB4GD9KA8Q8170_01K92JSPRSBBZR262V1DHFKGK2_MULTIPLE_CHOICE_QUESTION
skills: ["Understanding place value of decimals"]
skill_ids: ["01K0DE47ZA06AAW79G8WVAMPVC"]
subtopics: ["Place Value"]
subtopic_ids: ["subtopic_01GTC0BE8Z62FRVYMHDFZQQ22M"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"In the number $3.47$, what digit is in the tenths place?","answerOptions":["$3$","$4$","$7$","$0$"],"answer":"$4$","difficulty":"mild"}


example_id: lp_01K92JSND6VFJB4GD9KA8Q8170_01K92JSPRSBBZR262V1KC0ENMJ_MULTIPLE_CHOICE_QUESTION
skills: ["Understanding place value of decimals"]
skill_ids: ["01K0DE47ZA06AAW79G8WVAMPVC"]
subtopics: ["Place Value"]
subtopic_ids: ["subtopic_01GTC0BE8Z62FRVYMHDFZQQ22M"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is the value of the digit $7$ in the number $3.74$?","answerOptions":["$7$ ones","$7$ tenths","$7$ hundredths","$7$ thousandths"],"answer":"$7$ tenths","difficulty":"mild"}


example_id: lp_01K92JSND6VFJB4GD9KA8Q8170_01K92JSPRSBBZR262V1ZX9VH42_CONTEMPLATIVE_QUESTION
skills: ["Understanding place value of decimals"]
skill_ids: ["01K0DE47ZA06AAW79G8WVAMPVC"]
subtopics: ["Place Value"]
subtopic_ids: ["subtopic_01GTC0BE8Z62FRVYMHDFZQQ22M"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"Create a number with digits in the tenths, hundredths, and thousandths places. How would changing one digit affect its value?","teacherTips":["Changing a digit changes its place value: tenths are $\\frac{1}{10}$, hundredths are $\\frac{1}{100}$, etc."],"difficulty":"hot"}


example_id: lp_01K92JSND6VFJB4GD9KA8Q8170_01K92JSPRSBBZR262V1FPW8E9E_MULTIPLE_CHOICE_QUESTION
skills: ["Understanding place value of decimals"]
skill_ids: ["01K0DE47ZA06AAW79G8WVAMPVC"]
subtopics: ["Place Value"]
subtopic_ids: ["subtopic_01GTC0BE8Z62FRVYMHDFZQQ22M"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"In the number $4.73$, what is the value of the digit $7$?","answerOptions":["$7$ ones","$7$ tenths","$7$ hundredths","$7$ thousandths"],"answer":"$7$ tenths","difficulty":"mild"}


example_id: lp_01K92JSND6VFJB4GD9KA8Q8170_01K92JSPBG6KMDFTNBT5G4YK1J_SCAFFOLDED_QUESTION
skills: ["Understanding place value of decimals"]
skill_ids: ["01K0DE47ZA06AAW79G8WVAMPVC"]
subtopics: ["Place Value"]
subtopic_ids: ["subtopic_01GTC0BE8Z62FRVYMHDFZQQ22M"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore the place value of decimals and deepen your understanding through challenging problems.","questions":[{"answer":"Each digit's place value decreases by two places.","question":"In the number $35.6074$, what is the place value of the digit $7$?"},{"answer":"Ten-thousandths","question":"In the number $408.2509$, what is the value of the digit $5$?"},{"answer":"$0.05$","question":"Explain how shifting the decimal point two places to the left affects the place value of each digit in the number $3\\,456.789$."}],"difficulty":"extension"}


example_id: lp_01K92JSND6VFJB4GD9KA8Q8170_01K92JSPBG6KMDFTNBT209DQ3N_SCAFFOLDED_QUESTION
skills: ["Understanding place value of decimals"]
skill_ids: ["01K0DE47ZA06AAW79G8WVAMPVC"]
subtopics: ["Place Value"]
subtopic_ids: ["subtopic_01GTC0BE8Z62FRVYMHDFZQQ22M"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn about the place value of decimals. The value of a digit depends on its position relative to the decimal point.","questions":[{"answer":"$0.06$","question":"In the number $4.3$, what is the place value of the $3$?"},{"answer":"Ones","question":"In the number $7.25$, what is the place value of the $5$?"},{"answer":"Tenths","question":"What is the value of the $6$ in the number $0.46$?\nWrite your answer as a decimal."}],"difficulty":"enabling"}


example_id: lp_01K92KZW75YVMJJQ4RK86C77Z7_01K92KZX8TCNZ3DEDPDXFM130H_THOUGHT_SPARKER
skill_ids: ["2JSGWKJJy6XcTeXjwVco","prkoutGQvnt475e8NXUh"]
subtopics: ["Fraction \u0026 Decimal Conversion"]
subtopic_ids: ["subtopic_01GTC0BQB2MMZFEMT4DCJDE8Z2"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: Weightlifting
class_year: 4
country: US
period_number: 4
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"In a weightlifting competition, one barbell weighs $0.5$ kg, another weighs $0.75$ kg, and a smaller one weighs $0.25$ kg.","firstSentence":"How could you represent these weights on a number line?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to convert the fractions to decimals if they prefer to work in one format.","Use a blank number line and have students decide on appropriate intervals for accurately placing the weights.","Discuss why the weights are placed at specific positions and how decimals relate to the fractions."]}

skills:
["Converting fractions with denominators of $10$, $100$, or $1000$ to decimals","Representing decimals on the number line"]


example_id: lp_01K92KZW75YVMJJQ4RK86C77Z7_01K92KZX8TCNZ3DEDPD860GYYE_APPLICATION
skill_ids: ["2JSGWKJJy6XcTeXjwVco","prkoutGQvnt475e8NXUh"]
subtopics: ["Fraction \u0026 Decimal Conversion"]
subtopic_ids: ["subtopic_01GTC0BQB2MMZFEMT4DCJDE8Z2"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: Weightlifting
class_year: 4
country: US
period_number: 4
node_type: APPLICATION
example_output_json:
{"title":"Fractions and Decimals in Weightlifting","example1Header":"Situation\nWeightlifting coaches track athlete progress using weights. They measure fractional weight increases and record them as decimals for easier calculations.","example1Body":"Example\nA coach records $3/10$ as $0.3$ and $25/100$ as $0.25$ to track small weight increases. This helps monitor improvement over time.","example2Header":"","example2Body":""}

skills:
["Converting fractions with denominators of $10$, $100$, or $1000$ to decimals","Representing decimals on the number line"]


example_id: lp_01K92KZW75YVMJJQ4RK86C77Z7_01K92KZX8TCNZ3DEDPDCDS3ZNE_ACTIVITY
skill_ids: ["2JSGWKJJy6XcTeXjwVco","prkoutGQvnt475e8NXUh"]
subtopics: ["Fraction \u0026 Decimal Conversion"]
subtopic_ids: ["subtopic_01GTC0BQB2MMZFEMT4DCJDE8Z2"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: Weightlifting
class_year: 4
country: US
period_number: 4
node_type: ACTIVITY
example_output_json:
{"header":"Decimal Line Dash\nYour team must place decimals on a number line to win the race!","scenario":"Steps\n1. Draw a number line from $0$ to $1$ and divide it into $10$, $100$, and $1\\,000$ equal parts.\n2. Each team writes $5$ fractions (e.g., $\\frac{7}{10}$, $\\frac{34}{100}$) to convert to decimals.\n3. Take turns converting fractions and placing decimals on the number line.\n4. Compare placements with a ruler to check accuracy.\n5. The team with the most accurate placements wins!","steps":["Discussion\n• Why is $\\frac{7}{10}$ the same as $0.7$ on the number line?\n• What happens to the decimal when the denominator increases?","Differentiation Opportunities\n• Support: Use only fractions with denominators of $10$ to simplify the activity.\n• Extend: Challenge teams to create and plot decimals greater than $1$ (e.g., $1.25$)."],"discussion":[],"differentiation":{"support":"","extend":""}}

skills:
["Converting fractions with denominators of $10$, $100$, or $1000$ to decimals","Representing decimals on the number line"]


example_id: lp_01K92KZW75YVMJJQ4RK86C77Z7_01K92KZX8TCNZ3DEDPDRQCNBHB_CONTEMPLATIVE_QUESTION
skill_ids: ["2JSGWKJJy6XcTeXjwVco","prkoutGQvnt475e8NXUh"]
subtopics: ["Fraction \u0026 Decimal Conversion"]
subtopic_ids: ["subtopic_01GTC0BQB2MMZFEMT4DCJDE8Z2"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: Weightlifting
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"Choose a fraction with a denominator of $10$, $100$, or $1\\,000$. Convert it to a decimal and show where it would be on a number line. How can you explain its place on the number line?","teacherTips":["Encourage students to use simple fractions like $7/10$ or $23/100$.","Help students relate fractions to their decimal equivalents.","Guide students to divide the number line into equal parts."],"difficulty":"mild"}


example_id: lp_01K92KZW75YVMJJQ4RK86C77Z7_01K92KZX8TCNZ3DEDPDYHS5WD3_EXIT_TICKET
skill_ids: ["2JSGWKJJy6XcTeXjwVco","prkoutGQvnt475e8NXUh"]
subtopics: ["Fraction \u0026 Decimal Conversion"]
subtopic_ids: ["subtopic_01GTC0BQB2MMZFEMT4DCJDE8Z2"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: Weightlifting
class_year: 4
country: US
period_number: 4
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$0.7$","question":"A weightlifter lifts $\\frac{7}{10}$ of a pound. What is this in decimal form?"},{"answer":"$0.25$","question":"If a barbell weighs $0.25$ pounds, where will it sit on a number line between $0$ and $1$?"},{"answer":"$0.375$","question":"A weightlifter drinks $\\frac{375}{1000}$ liters of water after training. What is this in decimal form?"}]}


example_id: lp_01K92M1QH00PJ56XC9G0X2G615_01K92M1RQN7AX3HB5Q98Z3C7PJ_CONTEMPLATIVE_QUESTION
skill_ids: ["prkoutGQvnt475e8NXUh","2JSGWKJJy6XcTeXjwVco"]
subtopics: ["Fraction \u0026 Decimal Conversion"]
subtopic_ids: ["subtopic_01GTC0BQB2MMZFEMT4DCJDE8Z2"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"Create a number line from $0$ to $2$. Place and label $0.3$, $0.75$, and $1.2$. How would you check their accuracy?","teacherTips":["Divide $0$ to $2$ into $10$ equal parts. Place decimals by counting intervals. Verify with fractions."],"difficulty":"spicy"}

skills:
["Representing decimals on the number line","Converting fractions with denominators of $10$, $100$, or $1000$ to decimals"]


example_id: lp_01K92M1QH00PJ56XC9G0X2G615_01K92M1RQN7AX3HB5Q8V75MCTY_MULTIPLE_CHOICE_QUESTION
skill_ids: ["prkoutGQvnt475e8NXUh","2JSGWKJJy6XcTeXjwVco"]
subtopics: ["Fraction \u0026 Decimal Conversion"]
subtopic_ids: ["subtopic_01GTC0BQB2MMZFEMT4DCJDE8Z2"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"Which decimal is halfway between $0.2$ and $0.4$ on a number line?","answerOptions":["$0.1$","$0.25$","$0.3$","$0.5$"],"answer":"$0.3$","difficulty":"mild"}

skills:
["Representing decimals on the number line","Converting fractions with denominators of $10$, $100$, or $1000$ to decimals"]


example_id: lp_01K92M1QH00PJ56XC9G0X2G615_01K92M1RQN7AX3HB5Q92GA6ZBC_MULTIPLE_CHOICE_QUESTION
skill_ids: ["prkoutGQvnt475e8NXUh","2JSGWKJJy6XcTeXjwVco"]
subtopics: ["Fraction \u0026 Decimal Conversion"]
subtopic_ids: ["subtopic_01GTC0BQB2MMZFEMT4DCJDE8Z2"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"On a number line, the interval between $2$ and $3$ is divided into $10$ equal parts. What decimal represents the third mark after $2$?","answerOptions":["$2.1$","$2.2$","$2.3$","$2.4$"],"answer":"$2.3$","difficulty":"hot"}

skills:
["Representing decimals on the number line","Converting fractions with denominators of $10$, $100$, or $1000$ to decimals"]


example_id: lp_01K92M1QH00PJ56XC9G0X2G615_01K92M1RQN7AX3HB5Q89HRGYZH_CONTEMPLATIVE_QUESTION
skill_ids: ["prkoutGQvnt475e8NXUh","2JSGWKJJy6XcTeXjwVco"]
subtopics: ["Fraction \u0026 Decimal Conversion"]
subtopic_ids: ["subtopic_01GTC0BQB2MMZFEMT4DCJDE8Z2"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"How would you explain the connection between $0.4$, $\\frac{4}{10}$, $\\frac{40}{100}$, and $\\frac{400}{1000}$? Can you create a similar example?","teacherTips":["$0.4 = \\frac{4}{10} = \\frac{40}{100} = \\frac{400}{1000}$ because they represent the same value."],"difficulty":"hot"}


example_id: lp_01K92M1QH00PJ56XC9G0X2G615_01K92M1RQN7AX3HB5Q86DJ4MNF_MULTIPLE_CHOICE_QUESTION
skill_ids: ["prkoutGQvnt475e8NXUh","2JSGWKJJy6XcTeXjwVco"]
subtopics: ["Fraction \u0026 Decimal Conversion"]
subtopic_ids: ["subtopic_01GTC0BQB2MMZFEMT4DCJDE8Z2"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is $0.3$ written as a fraction with a denominator of $10$?","answerOptions":["$3/10$","$30/100$","$300/1000$","$1/3$"],"answer":"$3/10$","difficulty":"mild"}


example_id: lp_01K92M1QH00PJ56XC9G0X2G615_01K92M1RQN7AX3HB5Q826E35QZ_MULTIPLE_CHOICE_QUESTION
skill_ids: ["prkoutGQvnt475e8NXUh","2JSGWKJJy6XcTeXjwVco"]
subtopics: ["Fraction \u0026 Decimal Conversion"]
subtopic_ids: ["subtopic_01GTC0BQB2MMZFEMT4DCJDE8Z2"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is the decimal form of the fraction $\\frac{7}{10}$?","answerOptions":["$0.7$","$0.07$","$7.10$","$0.17$"],"answer":"$0.7$","difficulty":"mild"}


example_id: lp_01K92M1QH00PJ56XC9G0X2G615_01K92M1R8N6M6TF0Y51M42PF39_SCAFFOLDED_QUESTION
skill_ids: ["prkoutGQvnt475e8NXUh","2JSGWKJJy6XcTeXjwVco"]
subtopics: ["Fraction \u0026 Decimal Conversion"]
subtopic_ids: ["subtopic_01GTC0BQB2MMZFEMT4DCJDE8Z2"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore how fractions convert into decimals and represent their positions on a number line.","questions":[{"answer":"Answers vary; must justify placements","question":"Convert the fraction $7/10$ into a decimal."},{"answer":"$0.7$","question":"Convert the fraction $125/1000$ into a decimal."},{"answer":"$0.125$","question":"On a number line from $0$ to $1$, explain where you would place $0.3$, $0.75$, and $0.125$ and why."}],"difficulty":"extension"}


example_id: lp_01K92M1QH00PJ56XC9G0X2G615_01K92M1R8N6M6TF0Y51H253M1J_SCAFFOLDED_QUESTION
skill_ids: ["prkoutGQvnt475e8NXUh","2JSGWKJJy6XcTeXjwVco"]
subtopics: ["Fraction \u0026 Decimal Conversion"]
subtopic_ids: ["subtopic_01GTC0BQB2MMZFEMT4DCJDE8Z2"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn to convert fractions with denominators of $10$, $100$, or $1\\,000$ into decimals, and place them on a number line.","questions":[{"answer":"$0.7$","question":"What is $\\frac{3}{10}$ as a decimal?\nHint: The denominator of $10$ tells us this is in the tenths place."},{"answer":"$3$","question":"What is $\\frac{45}{100}$ as a decimal?\nHint: The denominator of $100$ tells us this is in the hundredths place."},{"answer":"$0.3$","question":"Place $\\frac{7}{10}$ on a number line from $0$ to $1$ divided into $10$ equal parts.\nHint: Each part represents $\\frac{1}{10}$ or $0.1$."}],"difficulty":"enabling"}


example_id: lp_01K92M78VAGPV99NMF8ENRX53Y_01K92M7ACF19RK3GACF6RPRVXE_EXIT_TICKET
skills: ["Comparing decimals"]
skill_ids: ["jnybDqHb7nQg5V5UcP6f"]
subtopics: ["Decimal Basics"]
subtopic_ids: ["subtopic_01GTC0BRP5RN8FWQ8WGTWNDDG7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Swimming
class_year: 4
country: US
period_number: 4
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$25.4$","question":"A swimmer's lap time is $25.4$ seconds, and another's is $25.6$ seconds. Which swimmer has the faster time?"},{"answer":"$1.85$","question":"A pool is $1.85$ m deep at one end and $2.1$ m deep at the other. Which end is shallower?"},{"answer":"$0.97$","question":"Sarah swims $0.975$ km, Mike swims $0.98$ km, and Emma swims $0.97$ km. Who swam the shortest distance?"}]}


example_id: lp_01K92M78VAGPV99NMF8ENRX53Y_01K92M7ACF19RK3GACEKN8BG31_ACTIVITY
skills: ["Comparing decimals"]
skill_ids: ["jnybDqHb7nQg5V5UcP6f"]
subtopics: ["Decimal Basics"]
subtopic_ids: ["subtopic_01GTC0BRP5RN8FWQ8WGTWNDDG7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Swimming
class_year: 4
country: US
period_number: 4
node_type: ACTIVITY
example_output_json:
{"header":"Decimal Distance Dash\nTeams are measuring race results to see who ran the farthest!","scenario":"Steps\n1. Each team writes $5$ distances (e.g., $3.56$ m, $3.5$ m, $3.65$ m) on paper.\n2. Mix up the distances and exchange them with another team.\n3. Order the other team's distances from smallest to largest.\n4. Check the original order to see if you got it right.\n5. The team with the most correct orders wins the round!","steps":["Discussion\n• Why is $3.56$ larger than $3.5$?\n• What happens when two decimals have the same tenths digit?","Differentiation Opportunities\n• Support: Use decimals with only one decimal place (e.g., $3.1$, $3.2$).\n• Extend: Compare decimals to three decimal places (e.g., $3.456$, $3.457$)."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K92M78VAGPV99NMF8ENRX53Y_01K92M7ACF19RK3GACEYZQYQXD_CONTEMPLATIVE_QUESTION
skills: ["Comparing decimals"]
skill_ids: ["jnybDqHb7nQg5V5UcP6f"]
subtopics: ["Decimal Basics"]
subtopic_ids: ["subtopic_01GTC0BRP5RN8FWQ8WGTWNDDG7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Swimming
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You are comparing two prices: $\\$0.75$ and $\\$0.8$. How would you explain which is higher? Can you think of other examples where comparing decimals could help in real life?","teacherTips":["Encourage lining up decimal points to compare place values.","Discuss real-world uses, like comparing prices or measurements.","Ask students to explain their reasoning clearly."],"difficulty":"mild"}


example_id: lp_01K92M78VAGPV99NMF8ENRX53Y_01K92M7ACF19RK3GACEDAQM03P_APPLICATION
skills: ["Comparing decimals"]
skill_ids: ["jnybDqHb7nQg5V5UcP6f"]
subtopics: ["Decimal Basics"]
subtopic_ids: ["subtopic_01GTC0BRP5RN8FWQ8WGTWNDDG7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Swimming
class_year: 4
country: US
period_number: 4
node_type: APPLICATION
example_output_json:
{"title":"Comparing Times in Swimming Races","example1Header":"Situation\nSwimming coaches compare race times to see which swimmers are faster. Even tiny differences in decimal seconds can decide who wins a race.","example1Body":"Example\nSwimmer A's time of $25.34$ seconds has $34$ hundredths, while Swimmer B's $25.3$ seconds has $30$ hundredths. Since $30 \u003c 34$, Swimmer B is faster.","example2Header":"","example2Body":""}


example_id: lp_01K92M78VAGPV99NMF8ENRX53Y_01K92M7ACF19RK3GACF1CHY6EX_THOUGHT_SPARKER
skills: ["Comparing decimals"]
skill_ids: ["jnybDqHb7nQg5V5UcP6f"]
subtopics: ["Decimal Basics"]
subtopic_ids: ["subtopic_01GTC0BRP5RN8FWQ8WGTWNDDG7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Swimming
class_year: 4
country: US
period_number: 4
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"In a swimming race, Emma finished in 25.34 seconds, Mia in 25.3 seconds, and Ava in 25.45 seconds.","firstSentence":"Who swam the fastest, and how do you know?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to compare decimal places starting from the tenths place.","Use a number line to help visualize the swim times as decimals.","Ask students to explain their reasoning step by step to ensure clarity."]}


example_id: lp_01K92M8CC1H2AJV4DVWHM3VFSB_01K92M8DHS3K1SQHQVVBK0RDMB_MULTIPLE_CHOICE_QUESTION
skills: ["Comparing decimals"]
skill_ids: ["jnybDqHb7nQg5V5UcP6f"]
subtopics: ["Decimal Basics"]
subtopic_ids: ["subtopic_01GTC0BRP5RN8FWQ8WGTWNDDG7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: spicy
example_output_json:
{"question":"Which of the following sets of decimals is in ascending order?","answerOptions":["$0.304, 0.34, 0.3, 0.403$","$0.3, 0.304, 0.34, 0.403$","$0.34, 0.3, 0.304, 0.403$","$0.403, 0.34, 0.304, 0.3$"],"answer":"$0.3, 0.304, 0.34, 0.403$","difficulty":"spicy"}


example_id: lp_01K92M8CC1H2AJV4DVWHM3VFSB_01K92M8DHS3K1SQHQVTPZPH5SZ_MULTIPLE_CHOICE_QUESTION
skills: ["Comparing decimals"]
skill_ids: ["jnybDqHb7nQg5V5UcP6f"]
subtopics: ["Decimal Basics"]
subtopic_ids: ["subtopic_01GTC0BRP5RN8FWQ8WGTWNDDG7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"Which decimal is greater: $0.8$ or $0.5$?","answerOptions":["$0.5$","$0.8$","$0.3$","$0.4$"],"answer":"$0.8$","difficulty":"mild"}


example_id: lp_01K92M8CC1H2AJV4DVWHM3VFSB_01K92M8DHS3K1SQHQVTWVV3626_CONTEMPLATIVE_QUESTION
skills: ["Comparing decimals"]
skill_ids: ["jnybDqHb7nQg5V5UcP6f"]
subtopics: ["Decimal Basics"]
subtopic_ids: ["subtopic_01GTC0BRP5RN8FWQ8WGTWNDDG7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"You have $6.35$, $6.5$, and $6.305$. How would you rank them from smallest to largest? Explain why.","teacherTips":["$6.305 \u003c 6.35 \u003c 6.5$ because comparing digits at each place shows differences in value."],"difficulty":"hot"}


example_id: lp_01K92M8CC1H2AJV4DVWHM3VFSB_01K92M8DHS3K1SQHQVV7KRKSV1_CONTEMPLATIVE_QUESTION
skills: ["Comparing decimals"]
skill_ids: ["jnybDqHb7nQg5V5UcP6f"]
subtopics: ["Decimal Basics"]
subtopic_ids: ["subtopic_01GTC0BRP5RN8FWQ8WGTWNDDG7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"Create a store with 4 items priced using decimals (e.g., $2.45$). How would you compare and order the prices to find the cheapest and most expensive items? Explain your reasoning.","teacherTips":["Compare digits from left to right: dollars, then tenths, then hundredths. Order smallest to largest."],"difficulty":"spicy"}


example_id: lp_01K92M8CC1H2AJV4DVWHM3VFSB_01K92M8DHS3K1SQHQVTZMR7Q6X_MULTIPLE_CHOICE_QUESTION
skills: ["Comparing decimals"]
skill_ids: ["jnybDqHb7nQg5V5UcP6f"]
subtopics: ["Decimal Basics"]
subtopic_ids: ["subtopic_01GTC0BRP5RN8FWQ8WGTWNDDG7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"Which of the following is the smallest decimal?","answerOptions":["$0.301$","$0.031$","$0.31$","$0.3$"],"answer":"$0.031$","difficulty":"hot"}


example_id: lp_01K92M8CC1H2AJV4DVWHM3VFSB_01K92M8D3DX7WMMT8WTMNKQFQ7_SCAFFOLDED_QUESTION
skills: ["Comparing decimals"]
skill_ids: ["jnybDqHb7nQg5V5UcP6f"]
subtopics: ["Decimal Basics"]
subtopic_ids: ["subtopic_01GTC0BRP5RN8FWQ8WGTWNDDG7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn how to compare decimals. Decimals represent parts of a whole, and you compare them by looking at their place values.","questions":[{"answer":"$0.72$","question":"Which is greater: $0.4$ or $0.6$?\nCompare the tenths place."},{"answer":"$0.4$","question":"Which is greater: $0.34$ or $0.36$?\nCompare the hundredths place."},{"answer":"$0.6$","question":"Which is greater: $0.72$ or $0.7$?\nExplain how you compared the decimals."}],"difficulty":"enabling"}


example_id: lp_01K92M8CC1H2AJV4DVWHM3VFSB_01K92M8D3DX7WMMT8WTR7FP10S_SCAFFOLDED_QUESTION
skills: ["Comparing decimals"]
skill_ids: ["jnybDqHb7nQg5V5UcP6f"]
subtopics: ["Decimal Basics"]
subtopic_ids: ["subtopic_01GTC0BRP5RN8FWQ8WGTWNDDG7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Challenge yourself by comparing and reasoning about decimals to determine their relationships.","questions":[{"answer":"Trailing zeros do not affect value; place value does.","question":"Which is greater: $0.478$ or $0.487$?"},{"answer":"$0.487$","question":"Which is smaller: $0.560$ or $0.56$?"},{"answer":"They are equal","question":"Explain why $0.700$ and $0.7$ are equal, while $0.07$ is smaller than both. Justify your reasoning using place value."}],"difficulty":"extension"}


example_id: lp_01K92MES5WF0QDPG173KDC0XB0_01K92MET1PE18PRVJXREATADPV_THOUGHT_SPARKER
skills: ["Solving for unknown values in multiplication and division equations"]
skill_ids: ["jvThAF16X0p02FkpdOcp"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
context: Jenga
class_year: 4
country: US
period_number: 4
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"In a game of Jenga, there are $48$ blocks in total, and each layer of the tower has $3$ blocks. A player removes some layers, leaving $24$ blocks still in the tower.","firstSentence":"How can you figure out how many layers the player removed?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to consider the relationship between the total blocks, layers, and blocks per layer.","Guide students to write an equation to represent the situation, such as $3 \\times ? + 24 = 48$.","Discuss different strategies to solve for the unknown, like using division or subtraction."]}


example_id: lp_01K92MES5WF0QDPG173KDC0XB0_01K92MET1PE18PRVJXQSQ47NQN_APPLICATION
skills: ["Solving for unknown values in multiplication and division equations"]
skill_ids: ["jvThAF16X0p02FkpdOcp"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
context: Jenga
class_year: 4
country: US
period_number: 4
node_type: APPLICATION
example_output_json:
{"title":"Using Algebra to Balance Jenga Towers","example1Header":"Situation\nProfessional game testers analyze Jenga tower stability. They use math to calculate how many blocks are needed to keep the tower balanced during experiments.","example1Body":"Example\nA Jenga tower with $4$ blocks per layer has $36$ blocks total. Solving $4 \\cdot x = 36$ gives $x = 9$. The tower has $9$ layers.","example2Header":"","example2Body":""}


example_id: lp_01K92MES5WF0QDPG173KDC0XB0_01K92MET1PE18PRVJXRHEZ07GR_EXIT_TICKET
skills: ["Solving for unknown values in multiplication and division equations"]
skill_ids: ["jvThAF16X0p02FkpdOcp"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
context: Jenga
class_year: 4
country: US
period_number: 4
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$15$","question":"A Jenga tower has $5$ layers, each with $3$ blocks. How many blocks are in the tower?"},{"answer":"$4$","question":"If a Jenga game has $24$ blocks and there are $6$ layers in the tower, how many blocks are in each layer?"},{"answer":"$72$","question":"A Jenga set has $x$ blocks. If $8$ blocks are used per layer and the tower has $9$ layers, what is the value of $x$?"}]}


example_id: lp_01K92MES5WF0QDPG173KDC0XB0_01K92MET1PE18PRVJXRAR6SRJD_CONTEMPLATIVE_QUESTION
skills: ["Solving for unknown values in multiplication and division equations"]
skill_ids: ["jvThAF16X0p02FkpdOcp"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
context: Jenga
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You have $36$ apples to divide evenly into groups. How many groups could you make if each group has $6$ apples? What if each group has $4$? Can you create your own equation to solve a similar problem?","teacherTips":["Encourage students to write equations like $36 \\div 6 = ?$ or $36 \\div 4 = ?$.","Ask students to explain how they decide the number of groups.","Support them in creating their own equations for practice."],"difficulty":"mild"}


example_id: lp_01K92MES5WF0QDPG173KDC0XB0_01K92MET1PE18PRVJXQXSS5EMG_ACTIVITY
skills: ["Solving for unknown values in multiplication and division equations"]
skill_ids: ["jvThAF16X0p02FkpdOcp"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
context: Jenga
class_year: 4
country: US
period_number: 4
node_type: ACTIVITY
example_output_json:
{"header":"Recipe Math Mystery\nYou're helping a chef fix recipes by solving for missing ingredient amounts!","scenario":"Steps\n1. In teams, write $3$ equations for recipes (e.g., $4 \\times x = 20$).\n2. Trade equations with another team and solve for the unknowns ($x$).\n3. Check each other's work to ensure the solutions are correct.\n4. Calculate the total amounts of ingredients based on solved equations.\n5. The fastest team with all correct answers wins!","steps":["Discussion\n• Why does dividing help solve $4 \\times x = 20$?\n• How can you check if your solution is correct?","Differentiation Opportunities\n• Support: Use smaller numbers (e.g., $2x = 6$) for simpler calculations.\n• Extend: Create multi-step equations (e.g., $3x + 5 = 20$) to solve."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K92MNSHH9J09G3302PBC7X0M_01K92MNTR4ENH3KN5D66MQC831_APPLICATION
skills: ["Multiplying two-digit by one-digit numbers in worded problems"]
skill_ids: ["ANoweAzkfobXxVNIHH7O"]
subtopics: ["Worded Problems"]
subtopic_ids: ["subtopic_01GTC0BKB1ZBW1XZCE3WDJ9JP7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Camping
class_year: 4
country: US
period_number: 4
node_type: APPLICATION
example_output_json:
{"title":"Packing Supplies for a Camping Trip","example1Header":"Situation\nCamp organizers calculate supplies needed for trips. For example, they figure out how much food is required for groups of campers over multiple days.","example1Body":"Example\nA group of $24$ campers eats $3$ meals daily. For $4$ days: $24 \\cdot 3 = 72$ meals each day. Multiply by $4$: $72 \\cdot 4 = 288$ meals total.","example2Header":"","example2Body":""}


example_id: lp_01K92MNSHH9J09G3302PBC7X0M_01K92MNTR4ENH3KN5D6VVCAVS6_THOUGHT_SPARKER
skills: ["Multiplying two-digit by one-digit numbers in worded problems"]
skill_ids: ["ANoweAzkfobXxVNIHH7O"]
subtopics: ["Worded Problems"]
subtopic_ids: ["subtopic_01GTC0BKB1ZBW1XZCE3WDJ9JP7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Camping
class_year: 4
country: US
period_number: 4
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"A group of $8$ campers wants to roast marshmallows by the fire. Each camper plans to roast $14$ marshmallows.","firstSentence":"How can you figure out the total number of marshmallows the group will need?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to break apart the multiplication (e.g., $8 \\times 10$ and $8 \\times 4$) to simplify calculations.","Ask students to explain their reasoning and compare different strategies for solving the problem.","Use visuals like arrays or grouping diagrams to help students connect the numbers to the real-world context."]}


example_id: lp_01K92MNSHH9J09G3302PBC7X0M_01K92MNTR4ENH3KN5D6BBNVS0G_ACTIVITY
skills: ["Multiplying two-digit by one-digit numbers in worded problems"]
skill_ids: ["ANoweAzkfobXxVNIHH7O"]
subtopics: ["Worded Problems"]
subtopic_ids: ["subtopic_01GTC0BKB1ZBW1XZCE3WDJ9JP7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Camping
class_year: 4
country: US
period_number: 4
node_type: ACTIVITY
example_output_json:
{"header":"Lemonade Stand Challenge\nYou're running a lemonade stand and need to calculate your total sales for the week!","scenario":"Steps\n1. Write a list of $5$ items to sell (e.g., cups of lemonade, cookies).\n2. Decide how many items you sell daily (1-digit number).\n3. Multiply daily sales by $7$ to find weekly totals for each item.\n4. Add up totals for all items to find your total weekly sales.\n5. Compare with classmates: Who sold the most?","steps":["Discussion\n• How did you organize your calculations for accuracy?\n• What strategies helped you multiply faster?","Differentiation Opportunities\n• Support: Use smaller numbers (less than $5$) for daily sales.\n• Extend: Add a second week's sales and compare totals."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K92MNSHH9J09G3302PBC7X0M_01K92MNTR4ENH3KN5D6QRNCK7J_CONTEMPLATIVE_QUESTION
skills: ["Multiplying two-digit by one-digit numbers in worded problems"]
skill_ids: ["ANoweAzkfobXxVNIHH7O"]
subtopics: ["Worded Problems"]
subtopic_ids: ["subtopic_01GTC0BKB1ZBW1XZCE3WDJ9JP7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Camping
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"A store sells $23$ apples in a box. If you buy $3$ boxes, how many apples do you have? What if you buy $5$ boxes? Can you think of another example like this?","teacherTips":["Encourage students to use multiplication: $23 \\times 3$ or $23 \\times 5$.","Ask students to explain their strategy for solving the problem.","Suggest creating their own examples with different numbers."],"difficulty":"mild"}


example_id: lp_01K92MNSHH9J09G3302PBC7X0M_01K92MNTR4ENH3KN5D6Y991F7P_EXIT_TICKET
skills: ["Multiplying two-digit by one-digit numbers in worded problems"]
skill_ids: ["ANoweAzkfobXxVNIHH7O"]
subtopics: ["Worded Problems"]
subtopic_ids: ["subtopic_01GTC0BKB1ZBW1XZCE3WDJ9JP7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Camping
class_year: 4
country: US
period_number: 4
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$36$","question":"If each camper eats $12$ marshmallows and there are $3$ campers, how many marshmallows are needed in total?"},{"answer":"$104$","question":"A tent costs $26$ dollars, and a family buys $4$ tents. What is the total cost?"},{"answer":"$282$","question":"Each sleeping bag costs $47$ dollars. If a group buys $6$ sleeping bags, what is the total cost?"}]}


example_id: lp_01K92MFNH1N6RTWTWS886GQEA9_01K92MFPP7NHWBA3Y6MH8EJDZR_MULTIPLE_CHOICE_QUESTION
skills: ["Solving for unknown values in multiplication and division equations"]
skill_ids: ["jvThAF16X0p02FkpdOcp"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"Fill in the blank: $6 \\times [?] = 42$","answerOptions":["$6$","$7$","$8$","$9$"],"answer":"$7$","difficulty":"mild"}


example_id: lp_01K92MFNH1N6RTWTWS886GQEA9_01K92MFPP7NHWBA3Y6MP3H1HMA_MULTIPLE_CHOICE_QUESTION
skills: ["Solving for unknown values in multiplication and division equations"]
skill_ids: ["jvThAF16X0p02FkpdOcp"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"Fill in the blank: $6 \\times [?] = 42$","answerOptions":["$5$","$6$","$7$","$8$"],"answer":"$7$","difficulty":"mild"}


example_id: lp_01K92MFNH1N6RTWTWS886GQEA9_01K92MFPP7NHWBA3Y6N2E1AHB7_CONTEMPLATIVE_QUESTION
skills: ["Solving for unknown values in multiplication and division equations"]
skill_ids: ["jvThAF16X0p02FkpdOcp"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"Create a story problem where the equation $3 \\times x = 45$ must be solved. How would you explain your steps? How could the story change if $x \\div 3 = 15$ instead?","teacherTips":["For $3 \\times x = 45$, solve $x = 45 \\div 3$. For $x \\div 3 = 15$, solve $x = 15 \\times 3$."],"difficulty":"spicy"}


example_id: lp_01K92MFNH1N6RTWTWS886GQEA9_01K92MFPP7NHWBA3Y6MX971DSY_CONTEMPLATIVE_QUESTION
skills: ["Solving for unknown values in multiplication and division equations"]
skill_ids: ["jvThAF16X0p02FkpdOcp"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"You have $36$ apples to pack into equal groups. How could you solve for the group size if there are $6$ groups? What if there are $9$ groups? Create your own scenario too!","teacherTips":["For $6$ groups: $36 \\div 6 = 6$. For $9$ groups: $36 \\div 9 = 4$. Use $36 \\div x$ for unknowns."],"difficulty":"hot"}


example_id: lp_01K92MFNH1N6RTWTWS886GQEA9_01K92MFPP7NHWBA3Y6MVJ6M87P_MULTIPLE_CHOICE_QUESTION
skills: ["Solving for unknown values in multiplication and division equations"]
skill_ids: ["jvThAF16X0p02FkpdOcp"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"If $7 \\times x = 56$, what is the value of $x$?","answerOptions":["$6$","$7$","$8$","$9$"],"answer":"$8$","difficulty":"hot"}


example_id: lp_01K92MFNH1N6RTWTWS886GQEA9_01K92MFP8PSRQ98JBK9PXETX63_SCAFFOLDED_QUESTION
skills: ["Solving for unknown values in multiplication and division equations"]
skill_ids: ["jvThAF16X0p02FkpdOcp"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will solve for unknown values in multiplication and division equations by using simple steps.","questions":[{"answer":"$7$","question":"What is the value of $x$ in the equation $x \\times 5 = 20$?"},{"answer":"$3$","question":"What is the value of $x$ in the equation $20 \\div x = 4$?"},{"answer":"$4$","question":"What is the value of $x$ in the equation $6 \\times x = 42$?"}],"difficulty":"enabling"}


example_id: lp_01K92MFNH1N6RTWTWS886GQEA9_01K92MFP8PSRQ98JBK9V1GDQYD_SCAFFOLDED_QUESTION
skills: ["Solving for unknown values in multiplication and division equations"]
skill_ids: ["jvThAF16X0p02FkpdOcp"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Solve challenging problems involving unknown values in multiplication and division equations.","questions":[{"answer":"$4$","question":"Solve for $x$: $7x = 49$."},{"answer":"$7$","question":"Solve for $y$: $72 \\div y = 8$."},{"answer":"$9$","question":"If $z \\times 4 = 48 \\div 3$, explain what $z$ equals and justify your reasoning."}],"difficulty":"extension"}


example_id: lp_01K92MPEER589YVGD225NEGYYD_01K92MPFKGCKFSMG6X3FZK9R9J_CONTEMPLATIVE_QUESTION
skills: ["Multiplying two-digit by one-digit numbers in worded problems"]
skill_ids: ["ANoweAzkfobXxVNIHH7O"]
subtopics: ["Worded Problems"]
subtopic_ids: ["subtopic_01GTC0BKB1ZBW1XZCE3WDJ9JP7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"A bakery makes $14$ cookies in each batch. How many cookies can they make in $7$ different batches? What if they made $8$ or $9$ batches instead? Explain your reasoning.","teacherTips":["$14 \\times 7 = 98$. For $8$ batches: $14 \\times 8 = 112$. For $9$ batches: $14 \\times 9 = 126$."],"difficulty":"hot"}


example_id: lp_01K92MPEER589YVGD225NEGYYD_01K92MPFKGCKFSMG6X3967785D_MULTIPLE_CHOICE_QUESTION
skills: ["Multiplying two-digit by one-digit numbers in worded problems"]
skill_ids: ["ANoweAzkfobXxVNIHH7O"]
subtopics: ["Worded Problems"]
subtopic_ids: ["subtopic_01GTC0BKB1ZBW1XZCE3WDJ9JP7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"A bakery sells $12$ muffins in a box. If a customer buys $3$ boxes, how many muffins did they buy in total?","answerOptions":["$24$ muffins","$36$ muffins","$48$ muffins","$15$ muffins"],"answer":"$36$ muffins","difficulty":"mild"}


example_id: lp_01K92MPEER589YVGD225NEGYYD_01K92MPFKGCKFSMG6X34H5XQDR_MULTIPLE_CHOICE_QUESTION
skills: ["Multiplying two-digit by one-digit numbers in worded problems"]
skill_ids: ["ANoweAzkfobXxVNIHH7O"]
subtopics: ["Worded Problems"]
subtopic_ids: ["subtopic_01GTC0BKB1ZBW1XZCE3WDJ9JP7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"A box contains $23$ apples. If there are $4$ boxes, how many apples are there in total?","answerOptions":["$82$","$92$","$92$","$92$"],"answer":"$92$","difficulty":"mild"}


example_id: lp_01K92MPEER589YVGD225NEGYYD_01K92MPFKGCKFSMG6X3N0XFWVT_MULTIPLE_CHOICE_QUESTION
skills: ["Multiplying two-digit by one-digit numbers in worded problems"]
skill_ids: ["ANoweAzkfobXxVNIHH7O"]
subtopics: ["Worded Problems"]
subtopic_ids: ["subtopic_01GTC0BKB1ZBW1XZCE3WDJ9JP7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: spicy
example_output_json:
{"question":"A bakery sells 24 muffins each day. How many muffins does the bakery sell in 7 days?","answerOptions":["$148$","$154$","$168$","$174$"],"answer":"$168$","difficulty":"spicy"}


example_id: lp_01K92MPEER589YVGD225NEGYYD_01K92MPFKGCKFSMG6X3F9Q86QZ_MULTIPLE_CHOICE_QUESTION
skills: ["Multiplying two-digit by one-digit numbers in worded problems"]
skill_ids: ["ANoweAzkfobXxVNIHH7O"]
subtopics: ["Worded Problems"]
subtopic_ids: ["subtopic_01GTC0BKB1ZBW1XZCE3WDJ9JP7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"A gardener plants $24$ flowers in each row. If there are $6$ rows, how many flowers does the gardener plant in total?","answerOptions":["$120$","$144$","$156$","$180$"],"answer":"$144$","difficulty":"hot"}


example_id: lp_01K92MPEER589YVGD225NEGYYD_01K92MPFKGCKFSMG6X3Q7FCQRZ_CONTEMPLATIVE_QUESTION
skills: ["Multiplying two-digit by one-digit numbers in worded problems"]
skill_ids: ["ANoweAzkfobXxVNIHH7O"]
subtopics: ["Worded Problems"]
subtopic_ids: ["subtopic_01GTC0BKB1ZBW1XZCE3WDJ9JP7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"A baker makes $23$ cookies each day. How many cookies does the baker make in $7$ days? What if the baker makes $19$ cookies on some days and $25$ on others? How could you calculate the total?","teacherTips":["Multiply $23 \\times 7$ for $7$ days. Use $19 \\times x + 25 \\times y$ for mixed days, with $x + y = 7$."],"difficulty":"spicy"}


example_id: lp_01K92MPEER589YVGD225NEGYYD_01K92MPFKGCKFSMG6X332T6RRY_MULTIPLE_CHOICE_QUESTION
skills: ["Multiplying two-digit by one-digit numbers in worded problems"]
skill_ids: ["ANoweAzkfobXxVNIHH7O"]
subtopics: ["Worded Problems"]
subtopic_ids: ["subtopic_01GTC0BKB1ZBW1XZCE3WDJ9JP7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"A box contains $24$ apples. If there are $3$ boxes, how many apples are there in total?","answerOptions":["$68$","$72$","$75$","$78$"],"answer":"$72$","difficulty":"mild"}


example_id: lp_01K92MPEER589YVGD225NEGYYD_01K92MPF5N90W3TQPPSSZXW5V3_SCAFFOLDED_QUESTION
skills: ["Multiplying two-digit by one-digit numbers in worded problems"]
skill_ids: ["ANoweAzkfobXxVNIHH7O"]
subtopics: ["Worded Problems"]
subtopic_ids: ["subtopic_01GTC0BKB1ZBW1XZCE3WDJ9JP7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Solve challenging real-world problems involving multiplication of two-digit and one-digit numbers.","questions":[{"answer":"Initially $828$ trees; now $738$ trees.","question":"A store sells $28$ apples in each box. If a customer buys $7$ boxes, how many apples does the customer have in total?"},{"answer":"$196$","question":"A teacher buys $9$ packets of markers, with $24$ markers in each packet. She divides all the markers equally among $6$ students. How many markers does each student receive?"},{"answer":"$36$","question":"A farmer has $18$ fields. He plants $46$ trees in each field. Later, he decides to plant $5$ fewer trees in each field. Explain how many total trees he has planted now and justify your answer."}],"difficulty":"extension"}


example_id: lp_01K92MPEER589YVGD225NEGYYD_01K92MPF5N90W3TQPPSPSTBWEN_SCAFFOLDED_QUESTION
skills: ["Multiplying two-digit by one-digit numbers in worded problems"]
skill_ids: ["ANoweAzkfobXxVNIHH7O"]
subtopics: ["Worded Problems"]
subtopic_ids: ["subtopic_01GTC0BKB1ZBW1XZCE3WDJ9JP7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn how to multiply a two-digit number by a one-digit number using real-world examples.","questions":[{"answer":"$160$","question":"A box contains $12$ apples. If there are $3$ boxes, how many apples are there in total?"},{"answer":"$36$","question":"There are $24$ chairs in each row of a hall. If there are $4$ rows, how many chairs are there in total?"},{"answer":"$25$","question":"Sarah buys $32$ packs of pencils. Each pack contains $5$ pencils. How many pencils does Sarah have in total?"}],"difficulty":"enabling"}


example_id: lp_01K92MWWR8VE05VGGSPB1R6Z6F_01K92MWXT2H9YZPWWSH17BN3RM_EXIT_TICKET
skills: ["Solving worded division problems within the $10$ times tables"]
skill_ids: ["Tym5Fz8NGfhOTLCQOPIq"]
subtopics: ["Division Advanced"]
subtopic_ids: ["subtopic_01GTC0BQ6AE9KXYPRC7RHN6TGM"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Soccer
class_year: 4
country: US
period_number: 4
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$6$","question":"A soccer team has $18$ players and needs to form $3$ equal groups. How many players will be in each group?"},{"answer":"$3$","question":"A coach has $24$ soccer balls and wants to distribute them equally among $8$ players. How many soccer balls does each player get?"},{"answer":"$8$","question":"A soccer tournament has $96$ spectators divided equally into $12$ rows of seats. How many spectators are in each row?"}]}


example_id: lp_01K92MWWR8VE05VGGSPB1R6Z6F_01K92MWXT2H9YZPWWSGKCR4919_ACTIVITY
skills: ["Solving worded division problems within the $10$ times tables"]
skill_ids: ["Tym5Fz8NGfhOTLCQOPIq"]
subtopics: ["Division Advanced"]
subtopic_ids: ["subtopic_01GTC0BQ6AE9KXYPRC7RHN6TGM"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Soccer
class_year: 4
country: US
period_number: 4
node_type: ACTIVITY
example_output_json:
{"header":"Sharing Party Supplies\nYour team is planning a party and needs to share supplies equally among guests.","scenario":"Steps\n1. Write a word problem about sharing items (e.g., $24$ balloons among $6$ guests).\n2. Trade problems with another team and solve theirs using division.\n3. Check each other's work and explain your solutions.\n4. Score $1$ point for each correct solution. Highest score wins!\n5. Discuss how you solved the problems as a team.","steps":["Discussion\n• Why do we divide to share items equally?\n• What strategies helped you solve the problems quickly?","Differentiation Opportunities\n• Support: Use smaller numbers (e.g., divide up to $12$ items) for simpler problems.\n• Extend: Write problems with remainders (e.g., sharing $25$ cookies among $4$ people)."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K92MWWR8VE05VGGSPB1R6Z6F_01K92MWXT2H9YZPWWSGW3HG2ND_CONTEMPLATIVE_QUESTION
skills: ["Solving worded division problems within the $10$ times tables"]
skill_ids: ["Tym5Fz8NGfhOTLCQOPIq"]
subtopics: ["Division Advanced"]
subtopic_ids: ["subtopic_01GTC0BQ6AE9KXYPRC7RHN6TGM"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Soccer
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You have $24$ cookies to share equally among $4$ friends. How many ways can you divide them? Explain.","teacherTips":["Encourage students to explore equal groups or repeated subtraction.","Discuss why each friend must get the same amount.","Ask students to explain their reasoning and show their work."],"difficulty":"mild"}


example_id: lp_01K92MWWR8VE05VGGSPB1R6Z6F_01K92MWXT2H9YZPWWSGFWV7JYK_APPLICATION
skills: ["Solving worded division problems within the $10$ times tables"]
skill_ids: ["Tym5Fz8NGfhOTLCQOPIq"]
subtopics: ["Division Advanced"]
subtopic_ids: ["subtopic_01GTC0BQ6AE9KXYPRC7RHN6TGM"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Soccer
class_year: 4
country: US
period_number: 4
node_type: APPLICATION
example_output_json:
{"title":"Dividing Soccer Equipment for Teams","example1Header":"Situation\nSoccer coaches divide equipment like soccer balls and jerseys among teams to ensure every player has what they need for practice.","example1Body":"Example\nA coach has $36$ soccer balls and $4$ teams. Dividing $36 \\div 4 = 9$, each team gets $9$ soccer balls to use during practice.","example2Header":"","example2Body":""}


example_id: lp_01K92MWWR8VE05VGGSPB1R6Z6F_01K92MWXT2H9YZPWWSGZA8034D_THOUGHT_SPARKER
skills: ["Solving worded division problems within the $10$ times tables"]
skill_ids: ["Tym5Fz8NGfhOTLCQOPIq"]
subtopics: ["Division Advanced"]
subtopic_ids: ["subtopic_01GTC0BQ6AE9KXYPRC7RHN6TGM"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Soccer
class_year: 4
country: US
period_number: 4
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"There are 36 players at soccer practice, and the coach wants to divide them equally into 4 teams.","firstSentence":"How many players will each team have?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to visualize the problem by drawing groups or using counters.","Discuss the meaning of 'equally' to reinforce the concept of division.","Ask students to explain their reasoning or show their work to ensure understanding."]}


example_id: lp_01K92MX3ACR0BPM7M6JTG9RAQ3_01K92MX4HYDD477PYXSCN6H1D0_MULTIPLE_CHOICE_QUESTION
skills: ["Solving worded division problems within the $10$ times tables"]
skill_ids: ["Tym5Fz8NGfhOTLCQOPIq"]
subtopics: ["Worded Problems"]
subtopic_ids: ["subtopic_01GTC0BKB1ZBW1XZCE3WDJ9JP7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"A bakery made $96$ cookies and packed them equally into $12$ boxes. How many cookies are in each box?","answerOptions":["$6$","$8$","$10$","$12$"],"answer":"$8$","difficulty":"hot"}


example_id: lp_01K92MX3ACR0BPM7M6JTG9RAQ3_01K92MX4HYDD477PYXSH056ES6_CONTEMPLATIVE_QUESTION
skills: ["Solving worded division problems within the $10$ times tables"]
skill_ids: ["Tym5Fz8NGfhOTLCQOPIq"]
subtopics: ["Worded Problems"]
subtopic_ids: ["subtopic_01GTC0BKB1ZBW1XZCE3WDJ9JP7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"You have $36$ marbles to share equally among $4$, $6$, or $9$ friends. How would you divide them? What happens if you choose different groups?","teacherTips":["Divide $36$ by each group size: $36 \\div 4 = 9$, $36 \\div 6 = 6$, $36 \\div 9 = 4$. Adjust for leftovers."],"difficulty":"hot"}


example_id: lp_01K92MX3ACR0BPM7M6JTG9RAQ3_01K92MX4HYDD477PYXSJ8N2BAR_MULTIPLE_CHOICE_QUESTION
skills: ["Solving worded division problems within the $10$ times tables"]
skill_ids: ["Tym5Fz8NGfhOTLCQOPIq"]
subtopics: ["Worded Problems"]
subtopic_ids: ["subtopic_01GTC0BKB1ZBW1XZCE3WDJ9JP7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: spicy
example_output_json:
{"question":"A farmer has 225 apples and wants to pack them into boxes with 15 apples each. How many boxes are needed?","answerOptions":["$10$","$15$","$20$","$25$"],"answer":"$15$","difficulty":"spicy"}


example_id: lp_01K92MX3ACR0BPM7M6JTG9RAQ3_01K92MX4HYDD477PYXS0WQ14N7_MULTIPLE_CHOICE_QUESTION
skills: ["Solving worded division problems within the $10$ times tables"]
skill_ids: ["Tym5Fz8NGfhOTLCQOPIq"]
subtopics: ["Worded Problems"]
subtopic_ids: ["subtopic_01GTC0BKB1ZBW1XZCE3WDJ9JP7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"A bakery made $36$ cookies and placed them equally into $6$ boxes. How many cookies are in each box?","answerOptions":["$4$","$6$","$9$","$12$"],"answer":"$6$","difficulty":"mild"}


example_id: lp_01K92MX3ACR0BPM7M6JTG9RAQ3_01K92MX4HYDD477PYXS544Q9XX_MULTIPLE_CHOICE_QUESTION
skills: ["Solving worded division problems within the $10$ times tables"]
skill_ids: ["Tym5Fz8NGfhOTLCQOPIq"]
subtopics: ["Worded Problems"]
subtopic_ids: ["subtopic_01GTC0BKB1ZBW1XZCE3WDJ9JP7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"A bakery packs $24$ muffins equally into $4$ boxes. How many muffins are in each box?","answerOptions":["$4$","$6$","$8$","$12$"],"answer":"$6$","difficulty":"mild"}


example_id: lp_01K92MX3ACR0BPM7M6JTG9RAQ3_01K92MX4HYDD477PYXS9QZNZG9_CONTEMPLATIVE_QUESTION
skills: ["Solving worded division problems within the $10$ times tables"]
skill_ids: ["Tym5Fz8NGfhOTLCQOPIq"]
subtopics: ["Worded Problems"]
subtopic_ids: ["subtopic_01GTC0BKB1ZBW1XZCE3WDJ9JP7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You have 36 apples to share equally among 4 friends. How would you divide them? What if there were 6 or 9 friends?","teacherTips":["Divide: $36 \\div 4 = 9$, $36 \\div 6 = 6$, $36 \\div 9 = 4$. Each friend gets fewer apples as friends increase."],"difficulty":"mild"}


example_id: lp_01K92MX3ACR0BPM7M6JTG9RAQ3_01K92MX444N19Q6EYFQ5HMFPKJ_SCAFFOLDED_QUESTION
skills: ["Solving worded division problems within the $10$ times tables"]
skill_ids: ["Tym5Fz8NGfhOTLCQOPIq"]
subtopics: ["Worded Problems"]
subtopic_ids: ["subtopic_01GTC0BKB1ZBW1XZCE3WDJ9JP7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Solve these challenging real-world division problems to test your reasoning skills.","questions":[{"answer":"Each usable basket will hold $30$ apples.","question":"A baker made $96$ muffins and packed them equally into $12$ boxes. How many muffins are in each box?"},{"answer":"$8$","question":"A library has $144$ books. They are placed on $8$ shelves with an equal number of books per shelf. If one shelf is removed, how many books are on each of the remaining shelves?"},{"answer":"$18$","question":"A farmer has $240$ apples and wants to distribute them equally among $10$ baskets. However, $2$ baskets are damaged and cannot be used. How should the farmer adjust the distribution, and how many apples will each usable basket hold? Justify your reasoning."}],"difficulty":"extension"}


example_id: lp_01K92MX3ACR0BPM7M6JTG9RAQ3_01K92MX444N19Q6EYFQ057G454_SCAFFOLDED_QUESTION
skills: ["Solving worded division problems within the $10$ times tables"]
skill_ids: ["Tym5Fz8NGfhOTLCQOPIq"]
subtopics: ["Worded Problems"]
subtopic_ids: ["subtopic_01GTC0BKB1ZBW1XZCE3WDJ9JP7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will solve simple division problems by equally sharing or grouping.","questions":[{"answer":"$3$","question":"Sarah has $12$ candies and wants to share them equally among $4$ friends. How many candies will each friend get?"},{"answer":"$2$","question":"A farmer has $20$ apples and places them equally into $5$ baskets. How many apples are in each basket?"},{"answer":"$3$","question":"There are $18$ chairs, and they need to be grouped into $6$ equal rows. How many chairs will be in each row?"}],"difficulty":"enabling"}


example_id: lp_01K92N5GQHE3CF4FJ9JVRK9K82_01K92N5J3G2BZA7G07NQ4YAQ88_MULTIPLE_CHOICE_QUESTION
skills: ["Finding factors","Identifying multiples of natural numbers"]
skill_ids: ["0g4ssNmmmXwIgzcEWtZZ","01K5WPRDAZKTKW7CXEM3KKEHEM"]
subtopics: ["Factors"]
subtopic_ids: ["subtopic_01GTC0BQBKMFQWW6BWD2NEVXAH"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"Which of the following is a factor of $45$?","answerOptions":["$8$","$9$","$11$","$12$"],"answer":"$9$","difficulty":"hot"}


example_id: lp_01K92N5GQHE3CF4FJ9JVRK9K82_01K92N5J3G2BZA7G07NH18H7KT_CONTEMPLATIVE_QUESTION
skills: ["Finding factors","Identifying multiples of natural numbers"]
skill_ids: ["0g4ssNmmmXwIgzcEWtZZ","01K5WPRDAZKTKW7CXEM3KKEHEM"]
subtopics: ["Factors"]
subtopic_ids: ["subtopic_01GTC0BQBKMFQWW6BWD2NEVXAH"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You have $24$ cupcakes to pack into boxes. How many different ways can you divide $24$ evenly? Explain your thinking.","teacherTips":["Factors of $24$ are $1, 2, 3, 4, 6, 8, 12, 24$. These represent all ways to divide $24$ evenly."],"difficulty":"mild"}


example_id: lp_01K92N5GQHE3CF4FJ9JVRK9K82_01K92N5J3G2BZA7G07PG05T0EV_MULTIPLE_CHOICE_QUESTION
skills: ["Finding factors","Identifying multiples of natural numbers"]
skill_ids: ["0g4ssNmmmXwIgzcEWtZZ","01K5WPRDAZKTKW7CXEM3KKEHEM"]
subtopics: ["Factors"]
subtopic_ids: ["subtopic_01GTC0BQBKMFQWW6BWD2NEVXAH"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"Which number is a multiple of $6$?","answerOptions":["$7$","$12$","$9$","$5$"],"answer":"$12$","difficulty":"mild"}


example_id: lp_01K92N5GQHE3CF4FJ9JVRK9K82_01K92N5J3G2BZA7G07PN8N9PDN_MULTIPLE_CHOICE_QUESTION
skills: ["Finding factors","Identifying multiples of natural numbers"]
skill_ids: ["0g4ssNmmmXwIgzcEWtZZ","01K5WPRDAZKTKW7CXEM3KKEHEM"]
subtopics: ["Factors"]
subtopic_ids: ["subtopic_01GTC0BQBKMFQWW6BWD2NEVXAH"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"Which number is a multiple of $6$?","answerOptions":["$7$","$12$","$13$","$19$"],"answer":"$12$","difficulty":"mild"}


example_id: lp_01K92N5GQHE3CF4FJ9JVRK9K82_01K92N5J3G2BZA7G07PRHRD9RM_CONTEMPLATIVE_QUESTION
skills: ["Finding factors","Identifying multiples of natural numbers"]
skill_ids: ["0g4ssNmmmXwIgzcEWtZZ","01K5WPRDAZKTKW7CXEM3KKEHEM"]
subtopics: ["Factors"]
subtopic_ids: ["subtopic_01GTC0BQBKMFQWW6BWD2NEVXAH"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"You are planning a party. If cupcakes come in boxes of $4$ and drinks in packs of $6$, how many of each would you need to buy to have the same total items?","teacherTips":["The smallest common multiple of $4$ and $6$ is $12$. Buy $3$ boxes of $4$ and $2$ packs of $6$."],"difficulty":"hot"}


example_id: lp_01K92N5GQHE3CF4FJ9JVRK9K82_01K92N5HHXKX61TEXPQDM3FDM8_SCAFFOLDED_QUESTION
skills: ["Finding factors","Identifying multiples of natural numbers"]
skill_ids: ["0g4ssNmmmXwIgzcEWtZZ","01K5WPRDAZKTKW7CXEM3KKEHEM"]
subtopics: ["Factors"]
subtopic_ids: ["subtopic_01GTC0BQBKMFQWW6BWD2NEVXAH"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn how to identify multiples and factors of numbers.","questions":[{"answer":"$1, 2, 3, 6, 9, 18$","question":"Which of the following is a multiple of $3$?\nRemember: A multiple of $3$ is a number you get when you multiply $3$ by any whole number."},{"answer":"$8$","question":"Which of the following is a factor of $12$?\nA factor is a number that divides evenly into another number."},{"answer":"$9$","question":"What are all the factors of $18$?\nHint: A factor is a number that divides evenly into $18$ without any remainder."}],"difficulty":"enabling"}


example_id: lp_01K92N5GQHE3CF4FJ9JVRK9K82_01K92N5HHXKX61TEXPQJTMEYQJ_SCAFFOLDED_QUESTION
skills: ["Finding factors","Identifying multiples of natural numbers"]
skill_ids: ["0g4ssNmmmXwIgzcEWtZZ","01K5WPRDAZKTKW7CXEM3KKEHEM"]
subtopics: ["Factors"]
subtopic_ids: ["subtopic_01GTC0BQBKMFQWW6BWD2NEVXAH"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore relationships between natural number multiples and factors through challenging problems.","questions":[{"answer":"$6, 12, 18, 24, 36, 72$","question":"List all the multiples of $6$ between $30$ and $60$."},{"answer":"$30, 36, 42, 48, 54, 60$","question":"What are the common multiples of $4$ and $6$ between $1$ and $50$?"},{"answer":"$12, 24, 36, 48$","question":"A number is both a multiple of $6$ and a factor of $72$. Explain how you would find all such numbers and list them."}],"difficulty":"extension"}


example_id: lp_01K92N6AD7EM1SVMBMZZC70AX4_01K92N6B3HY532TCRCZXR8B68V_APPLICATION
skills: ["Finding factors","Identifying multiples of natural numbers"]
skill_ids: ["0g4ssNmmmXwIgzcEWtZZ","01K5WPRDAZKTKW7CXEM3KKEHEM"]
subtopics: ["Factors"]
subtopic_ids: ["subtopic_01GTC0BQBKMFQWW6BWD2NEVXAH"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Animation
class_year: 4
country: US
period_number: 4
node_type: APPLICATION
example_output_json:
{"title":"Finding Factors in Animation Frame Rates","example1Header":"Situation\nAnimators adjust frame rates for smooth animations. Frame rates depend on factors of total frames to ensure even timing.","example1Body":"Example\nAnimators find factors of $24$ (e.g., $1, 2, 3, 4, 6, 8, 12, 24$) to choose $12$ FPS. This works as $24 \\div 12 = 2$, ensuring smooth animation.","example2Header":"","example2Body":""}


example_id: lp_01K92N6AD7EM1SVMBMZZC70AX4_01K92N6B3HY532TCRD0HCF4ZXJ_THOUGHT_SPARKER
skills: ["Finding factors","Identifying multiples of natural numbers"]
skill_ids: ["0g4ssNmmmXwIgzcEWtZZ","01K5WPRDAZKTKW7CXEM3KKEHEM"]
subtopics: ["Factors"]
subtopic_ids: ["subtopic_01GTC0BQBKMFQWW6BWD2NEVXAH"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Animation
class_year: 4
country: US
period_number: 4
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"Two animations are playing at the same time. One changes frames every $24$ seconds, and the other changes frames every $36$ seconds.","firstSentence":"Which frame numbers would appear in both animations at the same time?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to list multiples of $24$ and $36$ to find common numbers.","Discuss the concept of least common multiples and how they relate to the problem.","Use visual aids like number lines or grids to help students identify patterns in the multiples."]}


example_id: lp_01K92N6AD7EM1SVMBMZZC70AX4_01K92N6B3HY532TCRD0E5YY9VV_CONTEMPLATIVE_QUESTION
skills: ["Finding factors","Identifying multiples of natural numbers"]
skill_ids: ["0g4ssNmmmXwIgzcEWtZZ","01K5WPRDAZKTKW7CXEM3KKEHEM"]
subtopics: ["Factors"]
subtopic_ids: ["subtopic_01GTC0BQBKMFQWW6BWD2NEVXAH"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Animation
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You are throwing a party with $24$ cupcakes. How can you arrange them in equal groups? Find all the ways and explain how you know each arrangement works.","teacherTips":["Help students list all factors of $24$ systematically.","Encourage students to test if $24$ ÷ factor gives no remainder.","Discuss the connection between factors and equal groups."],"difficulty":"mild"}


example_id: lp_01K92N6AD7EM1SVMBMZZC70AX4_01K92N6B3HY532TCRD02CS8XE0_ACTIVITY
skills: ["Finding factors","Identifying multiples of natural numbers"]
skill_ids: ["0g4ssNmmmXwIgzcEWtZZ","01K5WPRDAZKTKW7CXEM3KKEHEM"]
subtopics: ["Factors"]
subtopic_ids: ["subtopic_01GTC0BQBKMFQWW6BWD2NEVXAH"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Animation
class_year: 4
country: US
period_number: 4
node_type: ACTIVITY
example_output_json:
{"header":"Factor Match Game\nYou are solving a number puzzle! Match factors with their multiples to complete the challenge.","scenario":"Steps\n1. Each group writes $10$ numbers (from $1$ to $50$) on separate pieces of paper.\n2. Mix all the number cards together into a pile.\n3. Take turns picking a card and naming all its factors and multiples (up to $50$).\n4. If correct, keep the card. If wrong, return it to the pile.\n5. The group with the most cards at the end wins!","steps":["Discussion\n• How do you know if a number is a factor of another?\n• What patterns did you notice about multiples in the game?","Differentiation Opportunities\n• Support: Use smaller numbers (up to $20$) for factor and multiple identification.\n• Extend: Use numbers up to $100$ and include prime numbers for extra challenge."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K92N6AD7EM1SVMBMZZC70AX4_01K92N6B3HY532TCRD0KJVYNMZ_EXIT_TICKET
skills: ["Finding factors","Identifying multiples of natural numbers"]
skill_ids: ["0g4ssNmmmXwIgzcEWtZZ","01K5WPRDAZKTKW7CXEM3KKEHEM"]
subtopics: ["Factors"]
subtopic_ids: ["subtopic_01GTC0BQBKMFQWW6BWD2NEVXAH"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Animation
class_year: 4
country: US
period_number: 4
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$5, 10, 15$","question":"A character in an animation moves $5$ steps at a time. What are the first $3$ multiples of $5$?"},{"answer":"$1, 2, 3, 4, 6, 8, 12, 24$","question":"An animator needs to divide $24$ frames into equal parts for a scene. What are the factors of $24$?"},{"answer":"$18$","question":"In a looping animation, a scene repeats $36$ times. What is the greatest factor of $36$ that is less than $36$?"}]}


example_id: lp_01K92NB1CW4QZ5KCKT5QD69GS7_01K92NB2D0F5JBX2E1ES6JF2ZF_APPLICATION
skill_ids: ["xBSuDayer03qLLgVpENh","vaEZ5IKalYcb5s8Lpyl3"]
subtopics: ["Patterns"]
subtopic_ids: ["subtopic_01GTC0BBKSHHREFP0YM696YS5M"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
context: Cricket
class_year: 4
country: US
period_number: 4
node_type: APPLICATION
example_output_json:
{"title":"Cricket Scoring Patterns","example1Header":"Situation\nCricket scorers track player runs in matches. They record runs in sequences like twos, threes, and fours to calculate totals quickly.","example1Body":"Example\nThe batsman scores $2, 4, 6$. Adding 2 repeatedly gives $8, 10, 12, 14, 16$. Scorers predict totals faster by completing patterns like these.","example2Header":"","example2Body":""}

skills:
["Completing number patterns by twos, threes, fours, fives or tens","Identifying the next shape in a growing pattern"]


example_id: lp_01K92NB1CW4QZ5KCKT5QD69GS7_01K92NB2D0F5JBX2E1FCKN3JKB_THOUGHT_SPARKER
skill_ids: ["xBSuDayer03qLLgVpENh","vaEZ5IKalYcb5s8Lpyl3"]
subtopics: ["Patterns"]
subtopic_ids: ["subtopic_01GTC0BBKSHHREFP0YM696YS5M"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
context: Cricket
class_year: 4
country: US
period_number: 4
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"In a cricket match, a player scores $2$ runs in the first over, $4$ runs in the second over, $6$ runs in the third over, and $8$ runs in the fourth over.","firstSentence":"What is the next number in this pattern of runs scored?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to look for the difference between consecutive numbers in the pattern.","Ask students to explain how they identified the rule of the pattern to ensure deeper understanding.","Use visual aids like number lines or charts to help students see the pattern clearly."]}

skills:
["Completing number patterns by twos, threes, fours, fives or tens","Identifying the next shape in a growing pattern"]


example_id: lp_01K92NB1CW4QZ5KCKT5QD69GS7_01K92NB2D0F5JBX2E1FFRVV42R_EXIT_TICKET
skill_ids: ["xBSuDayer03qLLgVpENh","vaEZ5IKalYcb5s8Lpyl3"]
subtopics: ["Patterns"]
subtopic_ids: ["subtopic_01GTC0BBKSHHREFP0YM696YS5M"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
context: Cricket
class_year: 4
country: US
period_number: 4
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$10$","question":"A cricket player scored $2$, $4$, $6$, $8$, \\, $?$ runs in five matches. What is the missing number?"},{"answer":"$5$","question":"A cricket ball is placed, then two balls, then three balls, and so on. How many balls will be in the next row if the current row has $4$ balls?"},{"answer":"$25$","question":"A cricket scoreboard shows $10$, $15$, $20$, \\, ?, $30$. What is the missing number?"}]}

skills:
["Completing number patterns by twos, threes, fours, fives or tens","Identifying the next shape in a growing pattern"]


example_id: lp_01K92NB1CW4QZ5KCKT5QD69GS7_01K92NB2D0F5JBX2E1EV1RN91T_ACTIVITY
skill_ids: ["xBSuDayer03qLLgVpENh","vaEZ5IKalYcb5s8Lpyl3"]
subtopics: ["Patterns"]
subtopic_ids: ["subtopic_01GTC0BBKSHHREFP0YM696YS5M"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
context: Cricket
class_year: 4
country: US
period_number: 4
node_type: ACTIVITY
example_output_json:
{"header":"Flag Pattern Challenge\nYour team is designing flags using shape and number patterns for a big celebration!","scenario":"Steps\n1. Draw a flag with $5$ shapes in a growing pattern (e.g., circle, square, triangle).\n2. Write a number sequence on your flag (e.g., counting by $2$s or $5$s).\n3. Pass your flag to another team to guess the next shape and number in the patterns.\n4. Check their guesses and award $1$ point for each correct answer.\n5. The team with the most points after $3$ rounds wins!","steps":["Discussion\n• How did you decide what comes next in the pattern?\n• Why do some patterns feel easier to predict than others?","Differentiation Opportunities\n• Support: Use simpler patterns like alternating two shapes or counting by $2$s.\n• Extend: Create more complex patterns using $3$ or more shapes and skip-counting by $8$s or $9$s."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K92NB1CW4QZ5KCKT5QD69GS7_01K92NB2D0F5JBX2E1F9X76PKH_CONTEMPLATIVE_QUESTION
skill_ids: ["xBSuDayer03qLLgVpENh","vaEZ5IKalYcb5s8Lpyl3"]
subtopics: ["Patterns"]
subtopic_ids: ["subtopic_01GTC0BBKSHHREFP0YM696YS5M"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
context: Cricket
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"Create your own pattern by adding $2$, $3$, $4$, $5$, or $10$ each time. Then draw shapes to match the pattern. What happens to the shapes and numbers as the pattern grows?","teacherTips":["Ask students to explain how their number and shape patterns grow.","Encourage using skip counting to complete patterns.","Discuss how numbers and shapes relate in the pattern."],"difficulty":"mild"}


example_id: lp_01K92NPWT1HNVFSHSX4ATHB9CX_01K92NPXQ045NSW8P66HJCJD45_APPLICATION
skills: ["Forming linear equations from worded problems"]
skill_ids: ["RDj9oCpAWiDZNNRDvu8K"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
context: NFL
class_year: 5
country: US
period_number: 5
node_type: APPLICATION
example_output_json:
{"title":"Building Equations in NFL Strategy","example1Header":"Situation\nNFL coaches use algebra to create game strategies. They calculate player movements and plays to ensure the best chance of scoring during a game.","example1Body":"Example\nTo score, the team needs $50$ yards. If the first play gains $x$ yards and the second gains $20$ yards, $x + 20 = 50$. Solving gives $x = 30$ yards on the first play.","example2Header":"","example2Body":""}


example_id: lp_01K92NPWT1HNVFSHSX4ATHB9CX_01K92NPXQ045NSW8P670VV3M8T_THOUGHT_SPARKER
skills: ["Forming linear equations from worded problems"]
skill_ids: ["RDj9oCpAWiDZNNRDvu8K"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
context: NFL
class_year: 5
country: US
period_number: 5
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"An NFL team scores $6$ points for every touchdown and $3$ points for every successful field goal. In a game, they scored a total of $39$ points.","firstSentence":"How could you write an equation to show the relationship between the number of touchdowns and field goals scored?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to assign variables to represent touchdowns and field goals.","Discuss how coefficients in the equation reflect the points scored per play type.","Guide students to test their equation by substituting values to check if the total points match."]}


example_id: lp_01K92NPWT1HNVFSHSX4ATHB9CX_01K92NPXQ045NSW8P66NDS802K_ACTIVITY
skills: ["Forming linear equations from worded problems"]
skill_ids: ["RDj9oCpAWiDZNNRDvu8K"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
context: NFL
class_year: 5
country: US
period_number: 5
node_type: ACTIVITY
example_output_json:
{"header":"Equation Bake-Off!\nYou're planning a bake sale! Write problems and turn them into equations.","scenario":"Steps\n1. Each team writes $3$ bake sale problems with costs or quantities.\n2. Exchange problems with another team and read their scenarios.\n3. Form a linear equation for each problem you received.\n4. Check equations with the original team for accuracy.\n5. Earn $1$ point for each correct equation formed!","steps":["Discussion\n• How did you decide what the variable represents?\n• What strategies helped you form equations correctly?","Differentiation Opportunities\n• Support: Use simpler problems with one variable (e.g., $x + 5 = 10$).\n• Extend: Write multi-step problems requiring equations like $2x + 3 = 15$."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K92NPWT1HNVFSHSX4ATHB9CX_01K92NPXQ045NSW8P66W4ABFZX_CONTEMPLATIVE_QUESTION
skills: ["Forming linear equations from worded problems"]
skill_ids: ["RDj9oCpAWiDZNNRDvu8K"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
context: NFL
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"A school has $x$ students. Each student gets $5$ books. If there are $200$ books, what is $x$?","teacherTips":["Guide students to form $5x = 200$ to represent the problem.","Discuss how dividing helps solve for $x$ in $5x = 200$.","Encourage students to check their solution by substitution."],"difficulty":"mild"}


example_id: lp_01K92NPWT1HNVFSHSX4ATHB9CX_01K92NPXQ045NSW8P6722HBEEX_EXIT_TICKET
skills: ["Forming linear equations from worded problems"]
skill_ids: ["RDj9oCpAWiDZNNRDvu8K"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
context: NFL
class_year: 5
country: US
period_number: 5
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$6x + 9 = 21$","question":"An NFL player scored $x$ touchdowns and $3$ field goals, totaling $21$ points. Write an equation for $x$."},{"answer":"$2x + 15 = 45$","question":"An NFL quarterback threw $2x$ completions in the first half and $15$ in the second half for $45$ total. Write an equation for $x$."},{"answer":"$14x + 6 = 48$","question":"An NFL kicker scored $4x$ field goals and $2x + 6$ extra points, totaling $48$ points. Write an equation for $x$."}]}


example_id: lp_01K92NBRQEV27K0FWPREWHM7N4_01K92NBT3PRS907D1HD6Z20DQ6_CONTEMPLATIVE_QUESTION
skill_ids: ["vaEZ5IKalYcb5s8Lpyl3","xBSuDayer03qLLgVpENh"]
subtopics: ["Patterns"]
subtopic_ids: ["subtopic_01GTC0BBKSHHREFP0YM696YS5M"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"A pattern starts with one triangle, then two triangles, then three. How would you draw the 8th shape?","teacherTips":["The 8th shape will have 8 triangles since the number of triangles matches the step number."],"difficulty":"hot"}

skills:
["Identifying the next shape in a growing pattern","Completing number patterns by twos, threes, fours, fives or tens"]


example_id: lp_01K92NBRQEV27K0FWPREWHM7N4_01K92NBT3PRS907D1HCYS67GZF_MULTIPLE_CHOICE_QUESTION
skill_ids: ["vaEZ5IKalYcb5s8Lpyl3","xBSuDayer03qLLgVpENh"]
subtopics: ["Patterns"]
subtopic_ids: ["subtopic_01GTC0BBKSHHREFP0YM696YS5M"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"A pattern of shapes grows as follows: circle, square, circle, square, circle. What is the next shape in the pattern?","answerOptions":["circle","square","triangle","rectangle"],"answer":"square","difficulty":"mild"}

skills:
["Identifying the next shape in a growing pattern","Completing number patterns by twos, threes, fours, fives or tens"]


example_id: lp_01K92NBRQEV27K0FWPREWHM7N4_01K92NBT3PRS907D1HD30X0JWY_MULTIPLE_CHOICE_QUESTION
skill_ids: ["vaEZ5IKalYcb5s8Lpyl3","xBSuDayer03qLLgVpENh"]
subtopics: ["Patterns"]
subtopic_ids: ["subtopic_01GTC0BBKSHHREFP0YM696YS5M"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"A pattern starts with one triangle, then two triangles, then three triangles. How many triangles will the next shape in the pattern have?","answerOptions":["$4$ triangles","$5$ triangles","$6$ triangles","$7$ triangles"],"answer":"$4$ triangles","difficulty":"mild"}

skills:
["Identifying the next shape in a growing pattern","Completing number patterns by twos, threes, fours, fives or tens"]


example_id: lp_01K92NBRQEV27K0FWPREWHM7N4_01K92NBT3PRS907D1HCJABWS15_CONTEMPLATIVE_QUESTION
skill_ids: ["vaEZ5IKalYcb5s8Lpyl3","xBSuDayer03qLLgVpENh"]
subtopics: ["Patterns"]
subtopic_ids: ["subtopic_01GTC0BBKSHHREFP0YM696YS5M"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
class_year: 4
country: US
period_number: 4
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"You plant trees in rows. Each row has $2$, $3$, $4$, $5$, or $10$ trees. How many rows could you plant to reach $50$ trees? Explain your strategy.","teacherTips":["Count by $2$, $3$, $4$, $5$, or $10$ to see which totals $50$. Strategies may vary by student."],"difficulty":"hot"}


example_id: lp_01K92NBRQEV27K0FWPREWHM7N4_01K92NBT3PRS907D1HCDC99K9J_MULTIPLE_CHOICE_QUESTION
skill_ids: ["vaEZ5IKalYcb5s8Lpyl3","xBSuDayer03qLLgVpENh"]
subtopics: ["Patterns"]
subtopic_ids: ["subtopic_01GTC0BBKSHHREFP0YM696YS5M"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
class_year: 4
country: US
period_number: 4
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What number comes next in the pattern: $10, 20, 30, 40, \\underline{\\phantom{0}}$?","answerOptions":["$45$","$50$","$55$","$60$"],"answer":"$50$","difficulty":"mild"}


example_id: lp_01K92NBRQEV27K0FWPREWHM7N4_01K92NBSN5D846GZMRJJVTTQHS_SCAFFOLDED_QUESTION
skill_ids: ["vaEZ5IKalYcb5s8Lpyl3","xBSuDayer03qLLgVpENh"]
subtopics: ["Patterns"]
subtopic_ids: ["subtopic_01GTC0BBKSHHREFP0YM696YS5M"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore advanced patterns by identifying the next shape or number in a sequence.","questions":[{"answer":"A triangle with $15$","question":"What is the next number in the sequence $12, 16, 20, 24, \\dots$?"},{"answer":"$28$","question":"What is the next number in the sequence $45, 55, 65, 75, \\dots$?"},{"answer":"$85$","question":"A pattern alternates between a triangle and a square, while the numbers follow $3, 6, 9, 12, \\dots$.\nWhat comes next, and why?"}],"difficulty":"extension"}


example_id: lp_01K92NBRQEV27K0FWPREWHM7N4_01K92NBSN5D846GZMRJD7EF5RP_SCAFFOLDED_QUESTION
skill_ids: ["vaEZ5IKalYcb5s8Lpyl3","xBSuDayer03qLLgVpENh"]
subtopics: ["Patterns"]
subtopic_ids: ["subtopic_01GTC0BBKSHHREFP0YM696YS5M"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
class_year: 4
country: US
period_number: 4
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn to complete number patterns by identifying the rule. The rule determines how the numbers grow or change.","questions":[{"answer":"$50$, $60$","question":"What is the next number in the pattern?\n$2, 4, 6, 8, ?$"},{"answer":"$9$","question":"What is the next number in the pattern?\n$5, 10, 15, ?$"},{"answer":"$10$","question":"What are the next two numbers in the pattern?\n$10, 20, 30, 40, ?$"}],"difficulty":"enabling"}


example_id: lp_01K92NQHMPZK78TFBMWCHYS9Y8_01K92NQJWEW3DS2KB6YXFMKEVX_CONTEMPLATIVE_QUESTION
skills: ["Forming linear equations from worded problems"]
skill_ids: ["RDj9oCpAWiDZNNRDvu8K"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"A movie theater sells adult tickets for $\\$x$ and child tickets for $\\$y$. If a family buys $3$ adult tickets and $4$ child tickets for $\\$50$, write an equation. How could different ticket prices change the total cost?","teacherTips":["The equation is $3x + 4y = 50$. Changing $x$ or $y$ alters the total cost relationship."],"difficulty":"spicy"}


example_id: lp_01K92NQHMPZK78TFBMWCHYS9Y8_01K92NQJWEW3DS2KB6YKXSG7KK_CONTEMPLATIVE_QUESTION
skills: ["Forming linear equations from worded problems"]
skill_ids: ["RDj9oCpAWiDZNNRDvu8K"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"A shop sells pens for $\\$2$ each and notebooks for $\\$5$ each. If you spent $\\$20$, how many pens and notebooks could you have bought? Write an equation to represent your choices.","teacherTips":["Possible equation: $2x + 5y = 20$. Solutions include $(x, y) = (0, 4), (5, 2), (10, 0)$."],"difficulty":"mild"}


example_id: lp_01K92NQHMPZK78TFBMWCHYS9Y8_01K92NQJWEW3DS2KB6YRNK692K_MULTIPLE_CHOICE_QUESTION
skills: ["Forming linear equations from worded problems"]
skill_ids: ["RDj9oCpAWiDZNNRDvu8K"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: spicy
example_output_json:
{"question":"A number is tripled and then reduced by 8, giving 31. What equation represents this situation?","answerOptions":["$3x + 8 = 31$","$3x - 8 = 31$","$x - 8 = 3x$","$3(x - 8) = 31$"],"answer":"$3x - 8 = 31$","difficulty":"spicy"}


example_id: lp_01K92NQHMPZK78TFBMWCHYS9Y8_01K92NQJWEW3DS2KB6YHSWR78B_MULTIPLE_CHOICE_QUESTION
skills: ["Forming linear equations from worded problems"]
skill_ids: ["RDj9oCpAWiDZNNRDvu8K"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"Sarah has $15$ apples. She buys $x$ more apples. Which equation shows the total number of apples Sarah has now?","answerOptions":["$15x$","$15 + x$","$15 - x$","$x - 15$"],"answer":"$15 + x$","difficulty":"mild"}


example_id: lp_01K92NQHMPZK78TFBMWCHYS9Y8_01K92NQJWEW3DS2KB6YGZ6BSDR_MULTIPLE_CHOICE_QUESTION
skills: ["Forming linear equations from worded problems"]
skill_ids: ["RDj9oCpAWiDZNNRDvu8K"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"Emma has $\\$50$ and earns $\\$10$ per hour. If $h$ is the number of hours she works, which equation shows her total money?","answerOptions":["$50h + 10 = 50$","$10h + 50 = 50$","$50 + 10h = 50$","$50 + 10h$"],"answer":"$50 + 10h$","difficulty":"mild"}


example_id: lp_01K92NQHMPZK78TFBMWCHYS9Y8_01K92NQJEV7C27Y0NETWT6Y275_SCAFFOLDED_QUESTION
skills: ["Forming linear equations from worded problems"]
skill_ids: ["RDj9oCpAWiDZNNRDvu8K"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
class_year: 5
country: US
period_number: 5
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Solve and form linear equations from real-world scenarios involving unknown values.","questions":[{"answer":"Equation: $6x = 36$. Width: $6$ m, Length: $12$ m.","question":"A total of $120$ tickets were sold for a play. Adult tickets cost $x$ dollars each, and child tickets cost $\\$5$ each. If $10$ child tickets were sold and the total revenue was $\\$1\\,250$, what is the cost of one adult ticket?"},{"answer":"$10.91$","question":"A store sells fruit baskets. Each basket contains $x$ apples and $y$ bananas. If there are $3$ baskets, $12$ apples, and $9$ bananas, how many apples are in 1 basket?"},{"answer":"$4$","question":"A rectangular garden's length is twice its width. The perimeter is $36$ meters. Write a linear equation to find the garden's dimensions and explain why your equation is correct."}],"difficulty":"extension"}


example_id: lp_01K92NQHMPZK78TFBMWCHYS9Y8_01K92NQJEV7C27Y0NETT026JER_SCAFFOLDED_QUESTION
skills: ["Forming linear equations from worded problems"]
skill_ids: ["RDj9oCpAWiDZNNRDvu8K"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
class_year: 5
country: US
period_number: 5
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this activity, you will learn how to write simple equations from everyday situations. Equations use numbers, variables, and operation signs like $+$ and $-$.","questions":[{"answer":"$2n$","question":"Sam has $8$ apples and buys $x$ more apples. Which equation shows the total number of apples?\nTotal means to add all together."},{"answer":"$8 + x$","question":"Emma had $y$ candies and gave away $5$. Which equation shows how many candies she has left?\n'Had' means starting amount, 'gave away' means subtract."},{"answer":"$8 - x$","question":"A store sells $n$ pencils for $\\$2$ each. Write an equation for the total cost.\nHint: Total means price per item times number of items."}],"difficulty":"enabling"}


example_id: lp_01K92NXRCGTFWJAAGDNFNNK7R1_01K92NXSYTSNBKX5F82YDE9KXG_MULTIPLE_CHOICE_QUESTION
skills: ["Substituting into expressions or equations that do not contain powers"]
skill_ids: ["hfFxrZg9Xp0yG3EmHmYr"]
subtopics: ["Substitution"]
subtopic_ids: ["subtopic_01GTC0BK1MFRXZVQHRAE8ZEA4E"]
topic: Algebra
topic_id: OKUbrisbx1lYljHEXqhW
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"If $x = 3$ and $y = 5$, what is the value of $2x + y$?","answerOptions":["$9$","$11$","$13$","$15$"],"answer":"$11$","difficulty":"mild"}


example_id: lp_01K92NXRCGTFWJAAGDNFNNK7R1_01K92NXSYTSNBKX5F835TARZ6R_CONTEMPLATIVE_QUESTION
skills: ["Substituting into expressions or equations that do not contain powers"]
skill_ids: ["hfFxrZg9Xp0yG3EmHmYr"]
subtopics: ["Substitution"]
subtopic_ids: ["subtopic_01GTC0BK1MFRXZVQHRAE8ZEA4E"]
topic: Algebra
topic_id: OKUbrisbx1lYljHEXqhW
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"Create a real-world scenario where you calculate the total cost using $C = 3x + 5y$. What values for $x$ and $y$ could you use? How would the total cost change if $x$ or $y$ increased by $2$?","teacherTips":["Substitute $x$ and $y$, e.g., $x = 4$, $y = 2$: $C = 3(4) + 5(2) = 22$. Adjust values to see changes."],"difficulty":"spicy"}


example_id: lp_01K92NXRCGTFWJAAGDNFNNK7R1_01K92NXSYTSNBKX5F82V3A0Q1T_MULTIPLE_CHOICE_QUESTION
skills: ["Substituting into expressions or equations that do not contain powers"]
skill_ids: ["hfFxrZg9Xp0yG3EmHmYr"]
subtopics: ["Substitution"]
subtopic_ids: ["subtopic_01GTC0BK1MFRXZVQHRAE8ZEA4E"]
topic: Algebra
topic_id: OKUbrisbx1lYljHEXqhW
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"If $y = 3$, what is the value of $4y + 7$?","answerOptions":["$10$","$15$","$19$","$21$"],"answer":"$19$","difficulty":"mild"}


example_id: lp_01K92NXRCGTFWJAAGDNFNNK7R1_01K92NXSYTSNBKX5F833GT3HTT_CONTEMPLATIVE_QUESTION
skills: ["Substituting into expressions or equations that do not contain powers"]
skill_ids: ["hfFxrZg9Xp0yG3EmHmYr"]
subtopics: ["Substitution"]
subtopic_ids: ["subtopic_01GTC0BK1MFRXZVQHRAE8ZEA4E"]
topic: Algebra
topic_id: OKUbrisbx1lYljHEXqhW
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"You earn $10x + 5$ dollars weekly. If $x$ is the number of hours worked, how could you calculate your earnings for $3$, $7$, or any number of hours?","teacherTips":["Substitute $x$ with $3$, $7$, or any number in $10x + 5$, then simplify: $10(3) + 5 = 35$ dollars."],"difficulty":"hot"}


example_id: lp_01K92NXRCGTFWJAAGDNFNNK7R1_01K92NXSYTSNBKX5F82NWSZGZE_MULTIPLE_CHOICE_QUESTION
skills: ["Substituting into expressions or equations that do not contain powers"]
skill_ids: ["hfFxrZg9Xp0yG3EmHmYr"]
subtopics: ["Substitution"]
subtopic_ids: ["subtopic_01GTC0BK1MFRXZVQHRAE8ZEA4E"]
topic: Algebra
topic_id: OKUbrisbx1lYljHEXqhW
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"If $y = 3$, what is the value of $2y + 5$?","answerOptions":["$8$","$9$","$11$","$15$"],"answer":"$11$","difficulty":"mild"}


example_id: lp_01K92NXRCGTFWJAAGDNFNNK7R1_01K92NXSH8GFBY413T0R8001WB_SCAFFOLDED_QUESTION
skills: ["Substituting into expressions or equations that do not contain powers"]
skill_ids: ["hfFxrZg9Xp0yG3EmHmYr"]
subtopics: ["Substitution"]
subtopic_ids: ["subtopic_01GTC0BK1MFRXZVQHRAE8ZEA4E"]
topic: Algebra
topic_id: OKUbrisbx1lYljHEXqhW
class_year: 5
country: US
period_number: 5
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn how to substitute numbers into simple algebraic expressions to solve for their values.","questions":[{"answer":"$8$","question":"If $x = 3$, what is the value of $x + 5$?\nHint: Replace $x$ with $3$ and then add."},{"answer":"$7$","question":"If $x = 4$ and $y = 2$, what is the value of $2x + y$?\nHint: Replace $x$ with $4$ and $y$ with $2$, then calculate."},{"answer":"$8$","question":"If $a = 2$, $b = 3$, and $c = 1$, what is the value of $3a + b - c$?\nHint: Substitute $a$, $b$, and $c$ into the expression and simplify."}],"difficulty":"enabling"}


example_id: lp_01K92NXRCGTFWJAAGDNFNNK7R1_01K92NXSH8GFBY413T0YP11J8W_SCAFFOLDED_QUESTION
skills: ["Substituting into expressions or equations that do not contain powers"]
skill_ids: ["hfFxrZg9Xp0yG3EmHmYr"]
subtopics: ["Substitution"]
subtopic_ids: ["subtopic_01GTC0BK1MFRXZVQHRAE8ZEA4E"]
topic: Algebra
topic_id: OKUbrisbx1lYljHEXqhW
class_year: 5
country: US
period_number: 5
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Challenge yourself with substitution into equations to find unknown values.","questions":[{"answer":"Substitution with $a = 5$ and $b = -2$ results in $26$, which is greater than $-6$.","question":"If $x = 7$, what is the value of $2x + 5$?"},{"answer":"$19$","question":"If $y = 3$ and $z = 4$, what is the value of $3y + 2z - 6$?"},{"answer":"$11$","question":"Explain why substituting $a = 5$ and $b = -2$ into $4a - 3b$ gives a larger value than substituting $a = 3$ and $b = 6$."}],"difficulty":"extension"}


example_id: lp_01K92NZ4HV45AB632T74819TPG_01K92NZ5C9ZHDZFGPNEX5R9WZD_ACTIVITY
skills: ["Substituting into expressions or equations that do not contain powers"]
skill_ids: ["hfFxrZg9Xp0yG3EmHmYr"]
subtopics: ["Substitution"]
subtopic_ids: ["subtopic_01GTC0BK1MFRXZVQHRAE8ZEA4E"]
topic: Algebra
topic_id: OKUbrisbx1lYljHEXqhW
context: Handball
class_year: 5
country: US
period_number: 5
node_type: ACTIVITY
example_output_json:
{"header":"Snack Stand Challenge\nYou are running a snack stand! Use math to calculate total costs for customers.","scenario":"Steps\n1. Write expressions for three snack combos, e.g., $2x + y$ or $x + 3y$.\n2. Assign prices to $x$ and $y$ (e.g., $x = 3$, $y = 2$).\n3. In teams, calculate the total cost for each combo using substitution.\n4. Check answers with another team. Correct answers earn $1$ point.\n5. Play $5$ rounds. The team with the most points wins!","steps":["Discussion\n• Why is substitution useful in solving real-world problems?\n• How would your results change if prices doubled?","Differentiation Opportunities\n• Support: Use simpler expressions with only one variable, e.g., $2x + 3$.\n• Extend: Add more variables or combine three items, e.g., $2x + y + z$."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K92NZ4HV45AB632T74819TPG_01K92NZ5C9ZHDZFGPNF66AEE1C_CONTEMPLATIVE_QUESTION
skills: ["Substituting into expressions or equations that do not contain powers"]
skill_ids: ["hfFxrZg9Xp0yG3EmHmYr"]
subtopics: ["Substitution"]
subtopic_ids: ["subtopic_01GTC0BK1MFRXZVQHRAE8ZEA4E"]
topic: Algebra
topic_id: OKUbrisbx1lYljHEXqhW
context: Handball
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You have the equation $x + y = 50$. Choose any value for $x$ and find $y$. How many pairs $(x, y)$ can you find?","teacherTips":["Encourage students to try different values of $x$ systematically.","Discuss how changing $x$ affects $y$ in the equation.","Highlight that multiple pairs $(x, y)$ can satisfy the equation."],"difficulty":"mild"}


example_id: lp_01K92NZ4HV45AB632T74819TPG_01K92NZ5C9ZHDZFGPNFGF34WE7_EXIT_TICKET
skills: ["Substituting into expressions or equations that do not contain powers"]
skill_ids: ["hfFxrZg9Xp0yG3EmHmYr"]
subtopics: ["Substitution"]
subtopic_ids: ["subtopic_01GTC0BK1MFRXZVQHRAE8ZEA4E"]
topic: Algebra
topic_id: OKUbrisbx1lYljHEXqhW
context: Handball
class_year: 5
country: US
period_number: 5
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$8$","question":"A handball player scores $x + 3$ goals in a match. If $x = 5$, how many goals did the player score?"},{"answer":"$7$","question":"A handball team has $2y - 5$ players on the bench. If $y = 6$, how many players are on the bench?"},{"answer":"$22$","question":"The score of a handball game is $3a + 2b$ where $a = 4$ and $b = 5$. What is the total score?"}]}


example_id: lp_01K92NZ4HV45AB632T74819TPG_01K92NZ5C9ZHDZFGPNET9EK2RH_APPLICATION
skills: ["Substituting into expressions or equations that do not contain powers"]
skill_ids: ["hfFxrZg9Xp0yG3EmHmYr"]
subtopics: ["Substitution"]
subtopic_ids: ["subtopic_01GTC0BK1MFRXZVQHRAE8ZEA4E"]
topic: Algebra
topic_id: OKUbrisbx1lYljHEXqhW
context: Handball
class_year: 5
country: US
period_number: 5
node_type: APPLICATION
example_output_json:
{"title":"Substitution in Handball Scoring Analysis","example1Header":"Situation\nHandball coaches use equations to analyze team performance. They substitute values for goals, assists, and saves into scoring formulas to evaluate players' contributions.","example1Body":"Example\nA handball player scores $5$ goals and $3$ assists. Using $S = 2g + a$, substitute $g = 5$ and $a = 3$: $S = 2(5) + 3 = 13$. The player's performance score is $13$.","example2Header":"","example2Body":""}


example_id: lp_01K92NZ4HV45AB632T74819TPG_01K92NZ5C9ZHDZFGPNFAY2WC26_THOUGHT_SPARKER
skills: ["Substituting into expressions or equations that do not contain powers"]
skill_ids: ["hfFxrZg9Xp0yG3EmHmYr"]
subtopics: ["Substitution"]
subtopic_ids: ["subtopic_01GTC0BK1MFRXZVQHRAE8ZEA4E"]
topic: Algebra
topic_id: OKUbrisbx1lYljHEXqhW
context: Handball
class_year: 5
country: US
period_number: 5
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"In a handball game, a player scores $3x + 5$ points, where $x$ is the number of goals they make. If they make $4$ goals, their score follows this formula.","firstSentence":"How would you use the formula to find the player's total score?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to identify the value of $x$ before substituting into the expression.","Discuss the meaning of each part of the expression, such as what $3x$ and $5$ represent in the context.","Ask students to explain their substitution process step by step to ensure understanding."]}


example_id: lp_01K92P4C3D271HCA94TR9SDNP6_01K92P4D2Y70QQANM37Y6HWPW2_CONTEMPLATIVE_QUESTION
skills: ["Identifying patterns in basic arithmetic sequences"]
skill_ids: ["4DjLs3d2BRGsx4BmNrEh"]
subtopics: ["Patterns"]
subtopic_ids: ["subtopic_01GTC0BBKSHHREFP0YM696YS5M"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
context: Jenga
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You notice this pattern: $5, 10, 15, 20$. How would you continue it? Can you create your own pattern like this? Explain the rule for your pattern.","teacherTips":["Encourage students to identify the common difference in the sequence.","Ask students to explain their reasoning for extending the pattern.","Guide students to create a new pattern by choosing a starting number and a step size."],"difficulty":"mild"}


example_id: lp_01K92P4C3D271HCA94TR9SDNP6_01K92P4D2Y70QQANM380AR3Z1P_EXIT_TICKET
skills: ["Identifying patterns in basic arithmetic sequences"]
skill_ids: ["4DjLs3d2BRGsx4BmNrEh"]
subtopics: ["Patterns"]
subtopic_ids: ["subtopic_01GTC0BBKSHHREFP0YM696YS5M"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
context: Jenga
class_year: 5
country: US
period_number: 5
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$20$","question":"If Jenga blocks are stacked in groups of $5$, and the first three levels have $5$, $10$, and $15$ blocks, how many blocks are in the fourth level?"},{"answer":"$35$","question":"If a Jenga tower has $7$, $14$, $21$, and $28$ blocks in its levels, how many blocks will the fifth level have?"},{"answer":"$84$","question":"In a Jenga tower, the blocks in each level are $4$, $8$, $12$, and $16$. What is the total number of blocks in the first $6$ levels?"}]}


example_id: lp_01K92P4C3D271HCA94TR9SDNP6_01K92P4D2Y70QQANM37DWEKGWE_ACTIVITY
skills: ["Identifying patterns in basic arithmetic sequences"]
skill_ids: ["4DjLs3d2BRGsx4BmNrEh"]
subtopics: ["Patterns"]
subtopic_ids: ["subtopic_01GTC0BBKSHHREFP0YM696YS5M"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
context: Jenga
class_year: 5
country: US
period_number: 5
node_type: ACTIVITY
example_output_json:
{"header":"Crack the Number Code!\nA secret message is hidden in number patterns. Can your team decode it first?","scenario":"Steps\n1. Write down the sequence: $5, 10, 15, 20, \\dots$.\n2. Identify the rule: each number increases by $5$.\n3. Decode the next $5$ numbers in the sequence.\n4. Match each number to a letter (e.g., $5 = A$, $10 = B$, etc.).\n5. Use the letters to reveal the hidden message!","steps":["Discussion\n• How did you figure out the pattern in the sequence?\n• What would happen if the rule changed to adding $10$?","Differentiation Opportunities\n• Support: Provide simpler sequences like $2, 4, 6, \\dots$.\n• Extend: Challenge students with sequences like $3, 9, 27, \\dots$ (multiplication)."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K92P4C3D271HCA94TR9SDNP6_01K92P4D2Y70QQANM379ZVGTJC_APPLICATION
skills: ["Identifying patterns in basic arithmetic sequences"]
skill_ids: ["4DjLs3d2BRGsx4BmNrEh"]
subtopics: ["Patterns"]
subtopic_ids: ["subtopic_01GTC0BBKSHHREFP0YM696YS5M"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
context: Jenga
class_year: 5
country: US
period_number: 5
node_type: APPLICATION
example_output_json:
{"title":"Finding Patterns in Jenga Tower Heights","example1Header":"Situation\nJenga tower designers analyze how blocks stack in patterns. Each row adds to the height in a predictable way, showing arithmetic sequences.","example1Body":"Example\nJenga blocks stack in a pattern. Each row adds 2 cm to the height. With 3 rows, the tower is 2 + 2 + 2 = 6 cm tall, following an arithmetic sequence.","example2Header":"","example2Body":""}


example_id: lp_01K92P4C3D271HCA94TR9SDNP6_01K92P4D2Y70QQANM37ZPKMKEZ_THOUGHT_SPARKER
skills: ["Identifying patterns in basic arithmetic sequences"]
skill_ids: ["4DjLs3d2BRGsx4BmNrEh"]
subtopics: ["Patterns"]
subtopic_ids: ["subtopic_01GTC0BBKSHHREFP0YM696YS5M"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
context: Jenga
class_year: 5
country: US
period_number: 5
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"In a Jenga game, the first stack is $3$ blocks tall, the second is $6$ blocks tall, and the third is $9$ blocks tall.","firstSentence":"What do you think the height of the next stack will be, and why?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to explain the pattern they observe in the sequence.","Discuss how addition and multiplication relate to identifying patterns.","Ask students to describe how they know their prediction fits the sequence."]}


example_id: lp_01K92P4YR2EGX27WXBS628QNSB_01K92P4ZXYFW1RRYSGXT39XEZN_MULTIPLE_CHOICE_QUESTION
skills: ["Identifying patterns in basic arithmetic sequences"]
skill_ids: ["4DjLs3d2BRGsx4BmNrEh"]
subtopics: ["Patterns"]
subtopic_ids: ["subtopic_01GTC0BBKSHHREFP0YM696YS5M"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is the next number in the sequence $3, 6, 9, 12$?","answerOptions":["$13$","$14$","$15$","$18$"],"answer":"$15$","difficulty":"mild"}


example_id: lp_01K92P4YR2EGX27WXBS628QNSB_01K92P4ZXYFW1RRYSGYXDEPRTA_CONTEMPLATIVE_QUESTION
skills: ["Identifying patterns in basic arithmetic sequences"]
skill_ids: ["4DjLs3d2BRGsx4BmNrEh"]
subtopics: ["Patterns"]
subtopic_ids: ["subtopic_01GTC0BBKSHHREFP0YM696YS5M"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"Create a sequence where numbers increase by different amounts at each step. What rules did you use, and how can someone predict the next three numbers in your sequence?","teacherTips":["Example: Start at $2$, add $3$, then $5$, then $7$. Rules: Add primes. Next: $17, 23, 31$."],"difficulty":"spicy"}


example_id: lp_01K92P4YR2EGX27WXBS628QNSB_01K92P4ZXYFW1RRYSGYCBPEGR8_MULTIPLE_CHOICE_QUESTION
skills: ["Identifying patterns in basic arithmetic sequences"]
skill_ids: ["4DjLs3d2BRGsx4BmNrEh"]
subtopics: ["Patterns"]
subtopic_ids: ["subtopic_01GTC0BBKSHHREFP0YM696YS5M"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is the next number in the sequence $5, 10, 15, 20$?","answerOptions":["$25$","$30$","$35$","$40$"],"answer":"$25$","difficulty":"mild"}


example_id: lp_01K92P4YR2EGX27WXBS628QNSB_01K92P4ZXYFW1RRYSGYX5YJ5HP_MULTIPLE_CHOICE_QUESTION
skills: ["Identifying patterns in basic arithmetic sequences"]
skill_ids: ["4DjLs3d2BRGsx4BmNrEh"]
subtopics: ["Patterns"]
subtopic_ids: ["subtopic_01GTC0BBKSHHREFP0YM696YS5M"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: spicy
example_output_json:
{"question":"In the sequence $5$, $11$, $23$, $47$, what is the rule for finding the next term?","answerOptions":["Multiply by $2$ and subtract $1$","Add $6$, then multiply by $2$","Multiply by $2$ and add $1$","Add $12$, then multiply by $2$"],"answer":"Multiply by $2$ and add $1$","difficulty":"spicy"}


example_id: lp_01K92P4YR2EGX27WXBS628QNSB_01K92P4ZXYFW1RRYSGYHX0EDEP_MULTIPLE_CHOICE_QUESTION
skills: ["Identifying patterns in basic arithmetic sequences"]
skill_ids: ["4DjLs3d2BRGsx4BmNrEh"]
subtopics: ["Patterns"]
subtopic_ids: ["subtopic_01GTC0BBKSHHREFP0YM696YS5M"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"In the sequence $5, 10, 15, 20, \\underline{\\phantom{0}}, 30$, what number should replace the blank?","answerOptions":["$22$","$24$","$25$","$28$"],"answer":"$25$","difficulty":"hot"}


example_id: lp_01K92P4YR2EGX27WXBS628QNSB_01K92P4ZXYFW1RRYSGYRGKCYSG_CONTEMPLATIVE_QUESTION
skills: ["Identifying patterns in basic arithmetic sequences"]
skill_ids: ["4DjLs3d2BRGsx4BmNrEh"]
subtopics: ["Patterns"]
subtopic_ids: ["subtopic_01GTC0BBKSHHREFP0YM696YS5M"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"Create a number sequence starting at $10$ and increasing by the same amount each time. How would you explain the pattern? Could you create a different sequence with the same rule?","teacherTips":["A sequence adds the same step each time, like $10, 15, 20, 25$ adds $5$ repeatedly. Many patterns exist."],"difficulty":"hot"}


example_id: lp_01K92P4YR2EGX27WXBS628QNSB_01K92P4ZXYFW1RRYSGY84KKQ4D_MULTIPLE_CHOICE_QUESTION
skills: ["Identifying patterns in basic arithmetic sequences"]
skill_ids: ["4DjLs3d2BRGsx4BmNrEh"]
subtopics: ["Patterns"]
subtopic_ids: ["subtopic_01GTC0BBKSHHREFP0YM696YS5M"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is the next number in the sequence $3, 6, 9, 12$?","answerOptions":["$13$","$15$","$18$","$21$"],"answer":"$15$","difficulty":"mild"}


example_id: lp_01K92P4YR2EGX27WXBS628QNSB_01K92P4ZXYFW1RRYSGY1DDEZ5W_MULTIPLE_CHOICE_QUESTION
skills: ["Identifying patterns in basic arithmetic sequences"]
skill_ids: ["4DjLs3d2BRGsx4BmNrEh"]
subtopics: ["Patterns"]
subtopic_ids: ["subtopic_01GTC0BBKSHHREFP0YM696YS5M"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is the next number in the sequence $3, 6, 9, 12$?","answerOptions":["$14$","$15$","$16$","$18$"],"answer":"$15$","difficulty":"mild"}


example_id: lp_01K92P4YR2EGX27WXBS628QNSB_01K92P4ZG41G4JC1CWQVP7NBM1_SCAFFOLDED_QUESTION
skills: ["Identifying patterns in basic arithmetic sequences"]
skill_ids: ["4DjLs3d2BRGsx4BmNrEh"]
subtopics: ["Patterns"]
subtopic_ids: ["subtopic_01GTC0BBKSHHREFP0YM696YS5M"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
class_year: 5
country: US
period_number: 5
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore and identify complex arithmetic patterns in sequences.","questions":[{"answer":"Answers will vary; sequence must fit the rule.","question":"The sequence is $4, 7, 10, 13, 16$. What is the rule for this sequence?"},{"answer":"Add $3$ to each term.","question":"The sequence is $2, 6, 14, 30, 62$. What is the rule for this sequence?"},{"answer":"Double the previous term and add $2$.","question":"Create an arithmetic sequence where each term is the previous term multiplied by $3$ and then $5$ is added. Write the first five terms and explain your reasoning."}],"difficulty":"extension"}


example_id: lp_01K92P4YR2EGX27WXBS628QNSB_01K92P4ZG41G4JC1CWQQVF4XJ9_SCAFFOLDED_QUESTION
skills: ["Identifying patterns in basic arithmetic sequences"]
skill_ids: ["4DjLs3d2BRGsx4BmNrEh"]
subtopics: ["Patterns"]
subtopic_ids: ["subtopic_01GTC0BBKSHHREFP0YM696YS5M"]
topic: Operations and Algebraic Thinking
topic_id: e2ad0790-ba35-4559-a3f1-e9ebfa4bfec3
class_year: 5
country: US
period_number: 5
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will identify patterns in simple arithmetic sequences. A sequence is a list of numbers that follow a specific rule.","questions":[{"answer":"$60$","question":"What number comes next in the sequence $2, 4, 6, 8, \\dots$?"},{"answer":"$9$","question":"What number comes next in the sequence $5, 10, 15, 20, \\dots$?"},{"answer":"$10$","question":"What number comes next in the sequence $12, 24, 36, 48, \\dots$?"}],"difficulty":"enabling"}


example_id: lp_01K92PC0G1GGWFTKK22VRHM8Z5_01K92PC1CP3SD683FVMT7A5PYT_ACTIVITY
skill_ids: ["VAQggNvMOBJVHhhsZM7T","MS1yhqUgVnYO8j39cZhc","923JcsCAc7qSRMU8DKJ2"]
subtopics: ["Place Value"]
subtopic_ids: ["subtopic_01GTC0BE8Z62FRVYMHDFZQQ22M"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Astronauts
class_year: 5
country: US
period_number: 5
node_type: ACTIVITY
example_output_json:
{"header":"Place Value Challenge\nYour team is competing to build the highest number by combining ones, tens, and hundreds!","scenario":"Steps\n1. Each team writes $6$ random digits on paper (e.g., $4$, $7$, $2$, $8$, $5$, $3$).\n2. Use the digits to create the largest number possible (e.g., $874\\,532$).\n3. Convert the number into hundreds, tens, and ones (e.g., $8\\,745$ hundreds, $3$ tens, $2$ ones).\n4. Compare converted values with other teams to see who has the highest total.\n5. Repeat with new digits for more rounds. Keep score for each win!","steps":["Discussion\n• Why is the digit in the hundreds place more important than the tens?\n• What strategies helped you make the largest number?","Differentiation Opportunities\n• Support: Use only $4$ digits to create smaller numbers for simpler conversions.\n• Extend: Add a decimal point to work with tenths and hundredths as well."],"discussion":[],"differentiation":{"support":"","extend":""}}

skills:
["Understanding place value in whole numbers","Converting between tens and hundreds","Converting between ones and tens"]


example_id: lp_01K92PC0G1GGWFTKK22VRHM8Z5_01K92PC1CP3SD683FVNE2G095A_EXIT_TICKET
skill_ids: ["VAQggNvMOBJVHhhsZM7T","MS1yhqUgVnYO8j39cZhc","923JcsCAc7qSRMU8DKJ2"]
subtopics: ["Place Value"]
subtopic_ids: ["subtopic_01GTC0BE8Z62FRVYMHDFZQQ22M"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Astronauts
class_year: 5
country: US
period_number: 5
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$5$","question":"An astronaut stores $50$ food packets. How many tens are in $50$?"},{"answer":"$1$","question":"The spaceship carries $120$ oxygen tanks. How many hundreds are in $120$?"},{"answer":"$100$","question":"An astronaut calculates the distance to a planet as $3\\,105$ miles. What is the value of the digit $1$ in this number?"}]}

skills:
["Understanding place value in whole numbers","Converting between tens and hundreds","Converting between ones and tens"]


example_id: lp_01K92PC0G1GGWFTKK22VRHM8Z5_01K92PC1CP3SD683FVN9Q2ZXK7_CONTEMPLATIVE_QUESTION
skill_ids: ["VAQggNvMOBJVHhhsZM7T","MS1yhqUgVnYO8j39cZhc","923JcsCAc7qSRMU8DKJ2"]
subtopics: ["Place Value"]
subtopic_ids: ["subtopic_01GTC0BE8Z62FRVYMHDFZQQ22M"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Astronauts
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You have $235$ ones. How can you group these into tens and hundreds? Show all possible ways.","teacherTips":["Encourage students to start by grouping ones into tens.","Ask students to explain how many hundreds they can form.","Discuss leftover ones after grouping into tens or hundreds."],"difficulty":"mild"}

skills:
["Understanding place value in whole numbers","Converting between tens and hundreds","Converting between ones and tens"]


example_id: lp_01K92PC0G1GGWFTKK22VRHM8Z5_01K92PC1CP3SD683FVMMN4ZGQG_APPLICATION
skill_ids: ["VAQggNvMOBJVHhhsZM7T","MS1yhqUgVnYO8j39cZhc","923JcsCAc7qSRMU8DKJ2"]
subtopics: ["Place Value"]
subtopic_ids: ["subtopic_01GTC0BE8Z62FRVYMHDFZQQ22M"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Astronauts
class_year: 5
country: US
period_number: 5
node_type: APPLICATION
example_output_json:
{"title":"Place Value in Space Missions","example1Header":"Situation\nAstronauts track large numbers, such as distances in space. They use place value to understand numbers like spacecraft speeds or distances to planets.","example1Body":"Example\nThe distance to the Moon is $384\\,400$ km. Astronauts see $3$ in $300\\,000$ (hundred-thousands), $8$ in $80\\,000$ (ten-thousands), and $4$ in $4\\,000$ (thousands).","example2Header":"","example2Body":""}


example_id: lp_01K92PC0G1GGWFTKK22VRHM8Z5_01K92PC1CP3SD683FVNBBZX6VC_THOUGHT_SPARKER
skill_ids: ["VAQggNvMOBJVHhhsZM7T","MS1yhqUgVnYO8j39cZhc","923JcsCAc7qSRMU8DKJ2"]
subtopics: ["Place Value"]
subtopic_ids: ["subtopic_01GTC0BE8Z62FRVYMHDFZQQ22M"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Astronauts
class_year: 5
country: US
period_number: 5
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"An astronaut is organizing supplies for a space mission. They have $1\\,350$ individual food packs, and they want to know how many tens and hundreds this equals.","firstSentence":"How could you explain the relationship between the number of ones, tens, and hundreds in $1\\,350$?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to break down $1\\,350$ into its place value components (thousands, hundreds, tens, ones).","Ask students to think about how grouping into tens or hundreds changes the total number of groups.","Use visual aids like base-ten blocks or place value charts to help students see the relationships."]}


example_id: lp_01K92PCHNK88V8RW6QAN554KJJ_01K92PCK00KTQJPFFE7CXA57D6_CONTEMPLATIVE_QUESTION
skill_ids: ["923JcsCAc7qSRMU8DKJ2","VAQggNvMOBJVHhhsZM7T","MS1yhqUgVnYO8j39cZhc"]
subtopics: ["Place Value"]
subtopic_ids: ["subtopic_01GTC0BE8Z62FRVYMHDFZQQ22M"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"You have $128$ ones. How can you group them into tens? What if you had $215$ ones? Show your strategy.","teacherTips":["$128$ ones make $12$ tens and $8$ ones; $215$ ones make $21$ tens and $5$ ones."],"difficulty":"hot"}

skills:
["Converting between ones and tens","Understanding place value in whole numbers","Converting between tens and hundreds"]


example_id: lp_01K92PCHNK88V8RW6QAN554KJJ_01K92PCK00KTQJPFFE79CEE22A_MULTIPLE_CHOICE_QUESTION
skill_ids: ["923JcsCAc7qSRMU8DKJ2","VAQggNvMOBJVHhhsZM7T","MS1yhqUgVnYO8j39cZhc"]
subtopics: ["Place Value"]
subtopic_ids: ["subtopic_01GTC0BE8Z62FRVYMHDFZQQ22M"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"How many tens are there in $70$?","answerOptions":["$6$ tens","$7$ tens","$8$ tens","$10$ tens"],"answer":"$7$ tens","difficulty":"mild"}

skills:
["Converting between ones and tens","Understanding place value in whole numbers","Converting between tens and hundreds"]


example_id: lp_01K92PCHNK88V8RW6QAN554KJJ_01K92PCK00KTQJPFFE6P2NR47V_CONTEMPLATIVE_QUESTION
skill_ids: ["923JcsCAc7qSRMU8DKJ2","VAQggNvMOBJVHhhsZM7T","MS1yhqUgVnYO8j39cZhc"]
subtopics: ["Place Value"]
subtopic_ids: ["subtopic_01GTC0BE8Z62FRVYMHDFZQQ22M"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"Create the largest 6-digit number using the digits $3$, $5$, $7$, $1$, $9$, $4$ only once each. Explain how place value helps form the largest number. Could you make a smaller number? How?","teacherTips":["Place the largest digit ($9$) in the highest place (hundred-thousands), then decrease: $975\\,431$."],"difficulty":"spicy"}

skills:
["Converting between ones and tens","Understanding place value in whole numbers","Converting between tens and hundreds"]


example_id: lp_01K92PCHNK88V8RW6QAN554KJJ_01K92PCK00KTQJPFFE6KCKFQDE_MULTIPLE_CHOICE_QUESTION
skill_ids: ["923JcsCAc7qSRMU8DKJ2","VAQggNvMOBJVHhhsZM7T","MS1yhqUgVnYO8j39cZhc"]
subtopics: ["Place Value"]
subtopic_ids: ["subtopic_01GTC0BE8Z62FRVYMHDFZQQ22M"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is the value of the digit $7$ in the number $7\\,654$?","answerOptions":["$7$","$70$","$700$","$7\\,000$"],"answer":"$7\\,000$","difficulty":"mild"}


example_id: lp_01K92PCHNK88V8RW6QAN554KJJ_01K92PCK00KTQJPFFE8CV5TDH0_MULTIPLE_CHOICE_QUESTION
skill_ids: ["923JcsCAc7qSRMU8DKJ2","VAQggNvMOBJVHhhsZM7T","MS1yhqUgVnYO8j39cZhc"]
subtopics: ["Place Value"]
subtopic_ids: ["subtopic_01GTC0BE8Z62FRVYMHDFZQQ22M"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"How many tens are in $300$?","answerOptions":["$3$ tens","$30$ tens","$300$ tens","$3000$ tens"],"answer":"$30$ tens","difficulty":"mild"}


example_id: lp_01K92PCHNK88V8RW6QAN554KJJ_01K92PCK00KTQJPFFE87FA2B9C_MULTIPLE_CHOICE_QUESTION
skill_ids: ["923JcsCAc7qSRMU8DKJ2","VAQggNvMOBJVHhhsZM7T","MS1yhqUgVnYO8j39cZhc"]
subtopics: ["Place Value"]
subtopic_ids: ["subtopic_01GTC0BE8Z62FRVYMHDFZQQ22M"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"How many tens are there in $300$?","answerOptions":["$3$ tens","$30$ tens","$300$ tens","$3000$ tens"],"answer":"$30$ tens","difficulty":"mild"}


example_id: lp_01K92PCHNK88V8RW6QAN554KJJ_01K92PCJF3V0ZXY9YNHKT75F2T_SCAFFOLDED_QUESTION
skill_ids: ["923JcsCAc7qSRMU8DKJ2","VAQggNvMOBJVHhhsZM7T","MS1yhqUgVnYO8j39cZhc"]
subtopics: ["Place Value"]
subtopic_ids: ["subtopic_01GTC0BE8Z62FRVYMHDFZQQ22M"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will explore place value by converting between ones, tens, and hundreds.","questions":[{"answer":"$4$","question":"How many ones are there in $2$ tens?\nRemember: $1$ ten is equal to $10$ ones."},{"answer":"$10$","question":"How many tens are there in $3$ hundreds?\nRemember: $1$ hundred is equal to $10$ tens."},{"answer":"$20$","question":"If there are $40$ tens, how many hundreds are there?\nRemember: $10$ tens make $1$ hundred."}],"difficulty":"enabling"}


example_id: lp_01K92PCHNK88V8RW6QAN554KJJ_01K92PCJF3V0ZXY9YNHRJ3352X_SCAFFOLDED_QUESTION
skill_ids: ["923JcsCAc7qSRMU8DKJ2","VAQggNvMOBJVHhhsZM7T","MS1yhqUgVnYO8j39cZhc"]
subtopics: ["Place Value"]
subtopic_ids: ["subtopic_01GTC0BE8Z62FRVYMHDFZQQ22M"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore place value by converting between ones, tens, and hundreds in challenging scenarios.","questions":[{"answer":"Place value shifts left, dividing by $10$ per step.","question":"If there are $4\\,370$ ones, how many tens are there?"},{"answer":"$437$","question":"A bag contains $52$ hundreds. How many ones are there in total?"},{"answer":"$5\\,200$","question":"Explain how the place value of a digit changes when converting between ones, tens, and hundreds, using the number $4\\,320$ as an example."}],"difficulty":"extension"}


example_id: lp_01K92PH8K9HEM8KQ460DX4NW87_01K92PH9EQ2TH080ER0903NYMG_EXIT_TICKET
skills: ["Multiplication and division of whole numbers by powers of $10$"]
skill_ids: ["nru9yTxgJooV7u8UmYJ4"]
subtopics: ["Division Advanced"]
subtopic_ids: ["subtopic_01GTC0BQ6AE9KXYPRC7RHN6TGM"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Stars
class_year: 5
country: US
period_number: 5
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$5\\,000$","question":"A star emits $500$ units of energy per second; how much energy is emitted in $10$ seconds?"},{"answer":"$126\\,000$","question":"A telescope observes $12\\,600$ stars in $1$ hour. How many stars are observed in $10$ hours?"},{"answer":"$45\\,000\\,000$","question":"A star system is $45\\,000$ light-years away and a new telescope magnifies distances by $10^3$. What is the magnified distance?"}]}


example_id: lp_01K92PH8K9HEM8KQ460DX4NW87_01K92PH9EQ2TH080ER02A38M88_CONTEMPLATIVE_QUESTION
skills: ["Multiplication and division of whole numbers by powers of $10$"]
skill_ids: ["nru9yTxgJooV7u8UmYJ4"]
subtopics: ["Division Advanced"]
subtopic_ids: ["subtopic_01GTC0BQ6AE9KXYPRC7RHN6TGM"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Stars
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You have $1\\,000$ marbles and want to divide them into groups using powers of $10$. How would you organize the groups if you divide by $10$, $100$, or $1\\,000$? Can you explain your reasoning?","teacherTips":["Encourage students to think about place value changes when dividing by $10$, $100$, or $1\\,000$.","Ask students to describe the size of each group after dividing.","Discuss how dividing by powers of $10$ shifts digits to the right."],"difficulty":"mild"}


example_id: lp_01K92PH8K9HEM8KQ460DX4NW87_01K92PH9EQ2TH080EQZMET7RMX_ACTIVITY
skills: ["Multiplication and division of whole numbers by powers of $10$"]
skill_ids: ["nru9yTxgJooV7u8UmYJ4"]
subtopics: ["Division Advanced"]
subtopic_ids: ["subtopic_01GTC0BQ6AE9KXYPRC7RHN6TGM"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Stars
class_year: 5
country: US
period_number: 5
node_type: ACTIVITY
example_output_json:
{"header":"Sports Event Numbers\nYour team is planning a big sports event. Solve calculations to organize participants and supplies!","scenario":"Steps\n1. Write down $5$ whole numbers, each between $50$ and $5\\,000$.\n2. Multiply each number by $10$, $100$, and $1\\,000$. Write the results.\n3. Divide each number by $10$, $100$, and $1\\,000$. Write the results.\n4. Check answers as a team and correct any mistakes.\n5. Earn $1$ point for each correct answer. The team with the most points wins!","steps":["Discussion\n• What happens to the number when you multiply by $10$, $100$, or $1\\,000$?\n• Why does dividing by $10$, $100$, or $1\\,000$ make the number smaller?","Differentiation Opportunities\n• Support: Use smaller numbers, such as $10$ to $100$, for easier calculations.\n• Extend: Include decimal numbers, like $53.2$, to multiply and divide by powers of $10$."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K92PH8K9HEM8KQ460DX4NW87_01K92PH9EQ2TH080ER04SV7G2K_THOUGHT_SPARKER
skills: ["Multiplication and division of whole numbers by powers of $10$"]
skill_ids: ["nru9yTxgJooV7u8UmYJ4"]
subtopics: ["Division Advanced"]
subtopic_ids: ["subtopic_01GTC0BQ6AE9KXYPRC7RHN6TGM"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Stars
class_year: 5
country: US
period_number: 5
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"A galaxy has $1\\,200$ stars in each cluster, and there are $10$ clusters in one section of the galaxy.","firstSentence":"How could you figure out the total number of stars in this section of the galaxy?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to think about the relationship between multiplication and powers of 10.","Prompt students to explain their reasoning step-by-step to the class.","Use visual aids, such as place value charts, to help students understand how multiplying by 10 affects numbers."]}


example_id: lp_01K92PH8K9HEM8KQ460DX4NW87_01K92PH9EQ2TH080EQZJPXKCCS_APPLICATION
skills: ["Multiplication and division of whole numbers by powers of $10$"]
skill_ids: ["nru9yTxgJooV7u8UmYJ4"]
subtopics: ["Division Advanced"]
subtopic_ids: ["subtopic_01GTC0BQ6AE9KXYPRC7RHN6TGM"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Stars
class_year: 5
country: US
period_number: 5
node_type: APPLICATION
example_output_json:
{"title":"Division by Powers of 10 in Star Observation","example1Header":"Situation\nAstronomers calculate star distances in light-years. They use division by powers of $10$ to simplify large numbers for easier data analysis.","example1Body":"Example\nAstronomers simplify $1\\,250\\,000$ light-years using division. By $10$: $1\\,250\\,000 \\div 10 = 125\\,000$. By $100$: $1\\,250\\,000 \\div 100 = 12\\,500$.","example2Header":"","example2Body":""}


example_id: lp_01K92PJC58DWBRFJXAG6NVH086_01K92PJDGNQ0WVPPP4VFC1NZDB_MULTIPLE_CHOICE_QUESTION
skills: ["Multiplication and division of whole numbers by powers of $10$"]
skill_ids: ["nru9yTxgJooV7u8UmYJ4"]
subtopics: ["Division Advanced"]
subtopic_ids: ["subtopic_01GTC0BQ6AE9KXYPRC7RHN6TGM"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: spicy
example_output_json:
{"question":"A bakery produces $1\\,250$ cookies daily. How many cookies are produced in $30$ days, and what is the answer divided by $1\\,000$?","answerOptions":["$37.5$","$375$","$3.75$","$3\\,750$"],"answer":"$37.5$","difficulty":"spicy"}


example_id: lp_01K92PJC58DWBRFJXAG6NVH086_01K92PJDGNQ0WVPPP4VA6WZPGK_CONTEMPLATIVE_QUESTION
skills: ["Multiplication and division of whole numbers by powers of $10$"]
skill_ids: ["nru9yTxgJooV7u8UmYJ4"]
subtopics: ["Division Advanced"]
subtopic_ids: ["subtopic_01GTC0BQ6AE9KXYPRC7RHN6TGM"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"If a company produces $1\\,250$ items in a day, how would the total change if production increased $10$, $100$, or $1\\,000$ times? Explain your reasoning.","teacherTips":["Multiply by $10$, $100$, $1\\,000$; digits shift left by $1$, $2$, or $3$ places to $12\\,500$, $125\\,000$, $1\\,250\\,000$."],"difficulty":"hot"}


example_id: lp_01K92PJC58DWBRFJXAG6NVH086_01K92PJDGMKPSDGKZXY9VWTMKH_MULTIPLE_CHOICE_QUESTION
skills: ["Multiplication and division of whole numbers by powers of $10$"]
skill_ids: ["nru9yTxgJooV7u8UmYJ4"]
subtopics: ["Division Advanced"]
subtopic_ids: ["subtopic_01GTC0BQ6AE9KXYPRC7RHN6TGM"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is $700 \\div 10$?","answerOptions":["$70$","$7000$","$7$","$10$"],"answer":"$70$","difficulty":"mild"}


example_id: lp_01K92PJC58DWBRFJXAG6NVH086_01K92PJDGNQ0WVPPP4V59TXT54_MULTIPLE_CHOICE_QUESTION
skills: ["Multiplication and division of whole numbers by powers of $10$"]
skill_ids: ["nru9yTxgJooV7u8UmYJ4"]
subtopics: ["Division Advanced"]
subtopic_ids: ["subtopic_01GTC0BQ6AE9KXYPRC7RHN6TGM"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"What is the result of dividing $2\\,400$ by $10^2$?","answerOptions":["$2.4$","$24$","$240$","$0.24$"],"answer":"$24$","difficulty":"hot"}


example_id: lp_01K92PJC58DWBRFJXAG6NVH086_01K92PJDGNQ0WVPPP4V2RJ0XYQ_MULTIPLE_CHOICE_QUESTION
skills: ["Multiplication and division of whole numbers by powers of $10$"]
skill_ids: ["nru9yTxgJooV7u8UmYJ4"]
subtopics: ["Division Advanced"]
subtopic_ids: ["subtopic_01GTC0BQ6AE9KXYPRC7RHN6TGM"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is $400 \\div 10$?","answerOptions":["$4$","$40$","$4000$","$400$"],"answer":"$40$","difficulty":"mild"}


example_id: lp_01K92PJC58DWBRFJXAG6NVH086_01K92PJDGNQ0WVPPP4VM0NG2F8_CONTEMPLATIVE_QUESTION
skills: ["Multiplication and division of whole numbers by powers of $10$"]
skill_ids: ["nru9yTxgJooV7u8UmYJ4"]
subtopics: ["Division Advanced"]
subtopic_ids: ["subtopic_01GTC0BQ6AE9KXYPRC7RHN6TGM"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"You have $1\\,000$, $10\\,000$, and $100\\,000$. How could you divide these amounts to share equally among $10$, $100$, or $1\\,000$ people? What patterns do you notice in the results?","teacherTips":["Dividing by powers of $10$ shifts digits right: $1\\,000 \\div 10 = 100$, $10\\,000 \\div 100 = 100$, etc."],"difficulty":"spicy"}


example_id: lp_01K92PJC58DWBRFJXAG6NVH086_01K92PJD2W7888W4MMZ8XZ22TJ_SCAFFOLDED_QUESTION
skills: ["Multiplication and division of whole numbers by powers of $10$"]
skill_ids: ["nru9yTxgJooV7u8UmYJ4"]
subtopics: ["Division Advanced"]
subtopic_ids: ["subtopic_01GTC0BQ6AE9KXYPRC7RHN6TGM"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this activity, you will practice multiplying and dividing whole numbers by powers of $10$. Remember, powers of $10$ include $10$, $100$, and $1\\,000$.","questions":[{"answer":"$82\\,000$","question":"What is $45 \\times 10$?\nHint: When multiplying by $10$, move the digits one place to the left."},{"answer":"$450$","question":"What is $3\\,600 \\div 100$?\nHint: When dividing by $100$, move the digits two places to the right."},{"answer":"$4\\,500$","question":"What is $82 \\times 1\\,000$?\nHint: When multiplying by $1\\,000$, move the digits three places to the left."}],"difficulty":"enabling"}


example_id: lp_01K92PJC58DWBRFJXAG6NVH086_01K92PJD2W7888W4MMZE2BFWF3_SCAFFOLDED_QUESTION
skills: ["Multiplication and division of whole numbers by powers of $10$"]
skill_ids: ["nru9yTxgJooV7u8UmYJ4"]
subtopics: ["Division Advanced"]
subtopic_ids: ["subtopic_01GTC0BQ6AE9KXYPRC7RHN6TGM"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore the effect of multiplying and dividing whole numbers by powers of $10$ in different scenarios.","questions":[{"answer":"Multiplication shifts digits left, division shifts them right; zeros adjust.","question":"What is $12\\,345 \\times 10^2$?"},{"answer":"$1\\,234\\,500$","question":"What is $6\\,780 \\div 10^3$?"},{"answer":"$6.78$","question":"Explain why multiplying a whole number by $10^n$ moves the digits to the left and dividing moves them to the right.\nHow does this affect zeros?"}],"difficulty":"extension"}


example_id: lp_01K92PRF357JZQZTWSS731FM43_01K92PRJMKA8W69DMQ6N1YGFM6_CONTEMPLATIVE_QUESTION
skills: ["Comparing decimals","Writing decimal numbers from worded descriptions"]
skill_ids: ["jnybDqHb7nQg5V5UcP6f","fnVuKmWV8tWfKWYc0BcG"]
subtopics: ["Decimal Basics"]
subtopic_ids: ["subtopic_01GTC0BRP5RN8FWQ8WGTWNDDG7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Weightlifting
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"Create two decimal numbers from these worded descriptions: 'three and seven tenths' and 'three and seventy-five hundredths'. Compare them. Which is greater? How would you explain your reasoning?","teacherTips":["Ensure students correctly write 3.7 and 3.75 from the descriptions.","Help students compare decimals by looking at tenths and hundredths.","Encourage clear explanations using place value."],"difficulty":"mild"}


example_id: lp_01K92PRF357JZQZTWSS731FM43_01K92PRJMKA8W69DMQ667BFRJV_ACTIVITY
skills: ["Comparing decimals","Writing decimal numbers from worded descriptions"]
skill_ids: ["jnybDqHb7nQg5V5UcP6f","fnVuKmWV8tWfKWYc0BcG"]
subtopics: ["Decimal Basics"]
subtopic_ids: ["subtopic_01GTC0BRP5RN8FWQ8WGTWNDDG7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Weightlifting
class_year: 5
country: US
period_number: 5
node_type: ACTIVITY
example_output_json:
{"header":"Bake Sale Budget Battle\nYou're at a bake sale with $\\$10$! Write prices as decimals and decide what to buy.","scenario":"Steps\n1. Each team writes 5 items and their prices as decimals (e.g., $\\$2.50$).\n2. Exchange your price list with another team.\n3. Pick 3 items from their list that cost less than $\\$10$ in total.\n4. Write and compare the decimals to check your total cost.\n5. The team that spends closest to $\\$10$ without going over wins!","steps":["Discussion\n• How did you decide which items to buy?\n• Why is it important to compare decimals carefully?","Differentiation Opportunities\n• Support: Limit prices to one decimal place for simpler comparisons.\n• Extend: Add more items and calculate the total for 5 items instead of 3."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K92PRF357JZQZTWSS731FM43_01K92PRJMKA8W69DMQ6YHGADBG_EXIT_TICKET
skills: ["Comparing decimals","Writing decimal numbers from worded descriptions"]
skill_ids: ["jnybDqHb7nQg5V5UcP6f","fnVuKmWV8tWfKWYc0BcG"]
subtopics: ["Decimal Basics"]
subtopic_ids: ["subtopic_01GTC0BRP5RN8FWQ8WGTWNDDG7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Weightlifting
class_year: 5
country: US
period_number: 5
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$2.3$","question":"A weightlifter lifts two and three tenths kilograms. Write this as a decimal number."},{"answer":"$25.4$","question":"A barbell weighs $25.4$ kg, and a dumbbell weighs $25.34$ kg. Which is heavier?"},{"answer":"$15.036, 15.306, 15.36$","question":"A lifter records weights of $15.036$ kg, $15.36$ kg, and $15.306$ kg. Arrange these weights from lightest to heaviest."}]}


example_id: lp_01K92PRF357JZQZTWSS731FM43_01K92PRJMKA8W69DMQ5YWAJ5G8_APPLICATION
skills: ["Comparing decimals","Writing decimal numbers from worded descriptions"]
skill_ids: ["jnybDqHb7nQg5V5UcP6f","fnVuKmWV8tWfKWYc0BcG"]
subtopics: ["Decimal Basics"]
subtopic_ids: ["subtopic_01GTC0BRP5RN8FWQ8WGTWNDDG7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Weightlifting
class_year: 5
country: US
period_number: 5
node_type: APPLICATION
example_output_json:
{"title":"Decimal Weights in Weightlifting","example1Header":"Situation\nWeightlifting coaches use decimal numbers to record weights. They calculate totals and adjust weights for athletes' training plans.","example1Body":"Example\nA barbell weighing '6 kilograms and 25 hundredths' is $6.25$ kg. Another set '9 kilograms and 5 tenths' is $9.5$ kg. Coaches record these decimals for precise tracking.","example2Header":"","example2Body":""}


example_id: lp_01K92PRF357JZQZTWSS731FM43_01K92PRJMKA8W69DMQ6WRYPCGF_THOUGHT_SPARKER
skills: ["Comparing decimals","Writing decimal numbers from worded descriptions"]
skill_ids: ["jnybDqHb7nQg5V5UcP6f","fnVuKmWV8tWfKWYc0BcG"]
subtopics: ["Decimal Basics"]
subtopic_ids: ["subtopic_01GTC0BRP5RN8FWQ8WGTWNDDG7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Weightlifting
class_year: 5
country: US
period_number: 5
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"A weightlifter lifts one dumbbell weighing 12.75 pounds and another weighing 12.57 pounds.","firstSentence":"Which dumbbell is heavier, and how do you know?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to line up the decimals by place value for comparison.","Discuss the importance of comparing digits from left to right in decimals.","Use real or visual representations of weights to make the scenario relatable."]}


example_id: lp_01K92PSRGJX31FFQY12DEVS0K9_01K92PSSKKGG91N17KP9S17330_CONTEMPLATIVE_QUESTION
skills: ["Writing decimal numbers from worded descriptions","Comparing decimals"]
skill_ids: ["fnVuKmWV8tWfKWYc0BcG","jnybDqHb7nQg5V5UcP6f"]
subtopics: ["Decimal Basics"]
subtopic_ids: ["subtopic_01GTC0BRP5RN8FWQ8WGTWNDDG7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"Create a story where numbers like $7.205$, $3.01$, and $0.45$ describe measurements. Write the decimals.","teacherTips":["Decimals like $7.205$ mean $7$ ones, $2$ tenths, $0$ hundredths, and $5$ thousandths."],"difficulty":"spicy"}


example_id: lp_01K92PSRGJX31FFQY12DEVS0K9_01K92PSSKKGG91N17KP3WPJRJA_MULTIPLE_CHOICE_QUESTION
skills: ["Writing decimal numbers from worded descriptions","Comparing decimals"]
skill_ids: ["fnVuKmWV8tWfKWYc0BcG","jnybDqHb7nQg5V5UcP6f"]
subtopics: ["Decimal Basics"]
subtopic_ids: ["subtopic_01GTC0BRP5RN8FWQ8WGTWNDDG7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is the decimal form of 'seven and three-tenths'?","answerOptions":["$7.3$","$7.03$","$0.73$","$73$"],"answer":"$7.3$","difficulty":"mild"}


example_id: lp_01K92PSRGJX31FFQY12DEVS0K9_01K92PSSKKGG91N17KP6VNQRRV_MULTIPLE_CHOICE_QUESTION
skills: ["Writing decimal numbers from worded descriptions","Comparing decimals"]
skill_ids: ["fnVuKmWV8tWfKWYc0BcG","jnybDqHb7nQg5V5UcP6f"]
subtopics: ["Decimal Basics"]
subtopic_ids: ["subtopic_01GTC0BRP5RN8FWQ8WGTWNDDG7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"What is the decimal form of 'seven and three hundredths'?","answerOptions":["$7.03$","$7.3$","$7.003$","$7.30$"],"answer":"$7.03$","difficulty":"hot"}


example_id: lp_01K92PSRGJX31FFQY12DEVS0K9_01K92PSSKKGG91N17KNYZC31S7_MULTIPLE_CHOICE_QUESTION
skills: ["Writing decimal numbers from worded descriptions","Comparing decimals"]
skill_ids: ["fnVuKmWV8tWfKWYc0BcG","jnybDqHb7nQg5V5UcP6f"]
subtopics: ["Decimal Basics"]
subtopic_ids: ["subtopic_01GTC0BRP5RN8FWQ8WGTWNDDG7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is the decimal form of 'three and five tenths'?","answerOptions":["$3.05$","$3.5$","$3.005$","$35.0$"],"answer":"$3.5$","difficulty":"mild"}


example_id: lp_01K92PSRGJX31FFQY12DEVS0K9_01K92PSSKKGG91N17KQ2RB56YM_MULTIPLE_CHOICE_QUESTION
skills: ["Writing decimal numbers from worded descriptions","Comparing decimals"]
skill_ids: ["fnVuKmWV8tWfKWYc0BcG","jnybDqHb7nQg5V5UcP6f"]
subtopics: ["Decimal Basics"]
subtopic_ids: ["subtopic_01GTC0BRP5RN8FWQ8WGTWNDDG7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"Which of the following decimals is the smallest?","answerOptions":["$0.34$","$0.305$","$0.4$","$0.345$"],"answer":"$0.305$","difficulty":"hot"}


example_id: lp_01K92PSRGJX31FFQY12DEVS0K9_01K92PSSKKGG91N17KPYG32B8A_MULTIPLE_CHOICE_QUESTION
skills: ["Writing decimal numbers from worded descriptions","Comparing decimals"]
skill_ids: ["fnVuKmWV8tWfKWYc0BcG","jnybDqHb7nQg5V5UcP6f"]
subtopics: ["Decimal Basics"]
subtopic_ids: ["subtopic_01GTC0BRP5RN8FWQ8WGTWNDDG7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"Which decimal is greater: $0.75$ or $0.65$?","answerOptions":["$0.65$","$0.70$","$0.75$","$0.60$"],"answer":"$0.75$","difficulty":"mild"}


example_id: lp_01K92PSRGJX31FFQY12DEVS0K9_01K92PSSKKGG91N17KQ45QJJG3_CONTEMPLATIVE_QUESTION
skills: ["Writing decimal numbers from worded descriptions","Comparing decimals"]
skill_ids: ["fnVuKmWV8tWfKWYc0BcG","jnybDqHb7nQg5V5UcP6f"]
subtopics: ["Decimal Basics"]
subtopic_ids: ["subtopic_01GTC0BRP5RN8FWQ8WGTWNDDG7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"You have $3$ decimals: $0.56$, $0.506$, and $0.65$. How would you order them from smallest to largest? Explain your reasoning.","teacherTips":["$0.506 \u003c 0.56 \u003c 0.65$. Compare tenths first, then hundredths for decimals with equal tenths."],"difficulty":"spicy"}


example_id: lp_01K92PSRGJX31FFQY12DEVS0K9_01K92PSS5DX7GX00HB00D8PFZJ_SCAFFOLDED_QUESTION
skills: ["Writing decimal numbers from worded descriptions","Comparing decimals"]
skill_ids: ["fnVuKmWV8tWfKWYc0BcG","jnybDqHb7nQg5V5UcP6f"]
subtopics: ["Decimal Basics"]
subtopic_ids: ["subtopic_01GTC0BRP5RN8FWQ8WGTWNDDG7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore decimal numbers by writing, comparing, and reasoning critically about their values.","questions":[{"answer":"Place values show $0.509 \u003e 0.495$.","question":"Write the decimal number described as 'seven and fifty-four thousandths'."},{"answer":"$7.054$","question":"Which number is greater: 'nine and three-tenths' or 'nine and thirty-one hundredths'?"},{"answer":"$9.31$","question":"Explain why $0.509$ is greater than $0.495$, focusing on the place value of each digit."}],"difficulty":"extension"}


example_id: lp_01K92PSRGJX31FFQY12DEVS0K9_01K92PSS5DX7GX00HAZTH49NX2_SCAFFOLDED_QUESTION
skills: ["Writing decimal numbers from worded descriptions","Comparing decimals"]
skill_ids: ["fnVuKmWV8tWfKWYc0BcG","jnybDqHb7nQg5V5UcP6f"]
subtopics: ["Decimal Basics"]
subtopic_ids: ["subtopic_01GTC0BRP5RN8FWQ8WGTWNDDG7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn how to write and compare decimal numbers based on worded descriptions.","questions":[{"answer":"$7.3$","question":"Which decimal matches 'three and six tenths'?"},{"answer":"$3.6$","question":"Which number is greater: $0.8$ or $0.75$?\nHint: Compare the tenths place first."},{"answer":"$3.06$","question":"Write the decimal for 'seven and three tenths'."}],"difficulty":"enabling"}


example_id: lp_01K92PXZK1Y88CXG7DP963SK2X_01K92PY0P66FZ5K6B39D534B2D_EXIT_TICKET
skills: ["Rounding decimals"]
skill_ids: ["tOymT8rmDzVNxapIeuBG"]
subtopics: ["Decimal Basics"]
subtopic_ids: ["subtopic_01GTC0BRP5RN8FWQ8WGTWNDDG7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Baking
class_year: 5
country: US
period_number: 5
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$2.3$","question":"A cake recipe needs $2.34$ cups of sugar. Round $2.34$ to the nearest tenth."},{"answer":"$7.47$","question":"If a baker uses $7.468$ ounces of flour, round this to the nearest hundredth."},{"answer":"$15.276$","question":"A bakery estimates the cost of ingredients as $15.2764$. Round this value to the nearest thousandth."}]}


example_id: lp_01K92PXZK1Y88CXG7DP963SK2X_01K92PY0P66FZ5K6B391YNVMA3_CONTEMPLATIVE_QUESTION
skills: ["Rounding decimals"]
skill_ids: ["tOymT8rmDzVNxapIeuBG"]
subtopics: ["Decimal Basics"]
subtopic_ids: ["subtopic_01GTC0BRP5RN8FWQ8WGTWNDDG7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Baking
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You bought items costing $3.47$, $5.82$, and $7.99$. How would you round each price to estimate the total?","teacherTips":["Encourage rounding to the nearest whole number for simplicity.","Discuss how rounding helps estimate totals quickly.","Have students explain their reasoning for their rounding choices."],"difficulty":"mild"}


example_id: lp_01K92PXZK1Y88CXG7DP963SK2X_01K92PY0P66FZ5K6B38QZW8MP3_ACTIVITY
skills: ["Rounding decimals"]
skill_ids: ["tOymT8rmDzVNxapIeuBG"]
subtopics: ["Decimal Basics"]
subtopic_ids: ["subtopic_01GTC0BRP5RN8FWQ8WGTWNDDG7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Baking
class_year: 5
country: US
period_number: 5
node_type: ACTIVITY
example_output_json:
{"header":"Decimal Rounding Challenge\nYour team is competing to round decimals correctly and earn the highest score!","scenario":"Steps\n1. Each team writes $10$ random decimal numbers on paper (e.g., $3.67$, $12.58$).\n2. Take turns rounding each number to the nearest whole number.\n3. Check each other's answers to ensure accuracy.\n4. Earn $1$ point for each correct rounding. Incorrect answers lose $1$ point.\n5. The team with the highest score after $10$ rounds wins!","steps":["Discussion\n• How can you tell which digit to look at when rounding?\n• Why does rounding make calculations easier?","Differentiation Opportunities\n• Support: Round numbers only to the nearest whole number.\n• Extend: Round numbers to the nearest tenth or hundredth."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K92PXZK1Y88CXG7DP963SK2X_01K92PY0P66FZ5K6B396S9S4CQ_THOUGHT_SPARKER
skills: ["Rounding decimals"]
skill_ids: ["tOymT8rmDzVNxapIeuBG"]
subtopics: ["Decimal Basics"]
subtopic_ids: ["subtopic_01GTC0BRP5RN8FWQ8WGTWNDDG7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Baking
class_year: 5
country: US
period_number: 5
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"A cake recipe calls for $2.75$ cups of flour, $1.125$ cups of sugar, and $0.875$ cups of butter.","firstSentence":"How would you decide which measurements to round and why?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to think about practical reasons for rounding in baking, like the difficulty of measuring precise amounts.","Ask students to consider whether rounding up or down would make a difference for each ingredient.","Facilitate discussion about how rounding might affect the final outcome of the recipe."]}


example_id: lp_01K92PXZK1Y88CXG7DP963SK2X_01K92PY0P66FZ5K6B38GWRJP07_APPLICATION
skills: ["Rounding decimals"]
skill_ids: ["tOymT8rmDzVNxapIeuBG"]
subtopics: ["Decimal Basics"]
subtopic_ids: ["subtopic_01GTC0BRP5RN8FWQ8WGTWNDDG7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Baking
class_year: 5
country: US
period_number: 5
node_type: APPLICATION
example_output_json:
{"title":"Rounding Decimals in Baking Measurements","example1Header":"Situation\nProfessional bakers often work with precise ingredient measurements like flour, sugar, and milk. They round decimals when converting recipes for different batch sizes.","example1Body":"Example\nBakers simplify 2.7 cups of milk by rounding it to 3 cups. Since 7 is greater than 5, they round up for easier measuring.","example2Header":"","example2Body":""}


example_id: lp_01K92PYMKGV99E67S857J0RCGQ_01K92PYQ37TWNS694WMYZSN8VG_MULTIPLE_CHOICE_QUESTION
skills: ["Rounding decimals"]
skill_ids: ["tOymT8rmDzVNxapIeuBG"]
subtopics: ["Decimal Basics"]
subtopic_ids: ["subtopic_01GTC0BRP5RN8FWQ8WGTWNDDG7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is $4.76$ rounded to the nearest whole number?","answerOptions":["$4$","$5$","$4.7$","$4.8$"],"answer":"$5$","difficulty":"mild"}


example_id: lp_01K92PYMKGV99E67S857J0RCGQ_01K92PYQ37TWNS694WMX3Z016C_MULTIPLE_CHOICE_QUESTION
skills: ["Rounding decimals"]
skill_ids: ["tOymT8rmDzVNxapIeuBG"]
subtopics: ["Decimal Basics"]
subtopic_ids: ["subtopic_01GTC0BRP5RN8FWQ8WGTWNDDG7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is $3.76$ rounded to the nearest whole number?","answerOptions":["$3$","$4$","$3.7$","$3.8$"],"answer":"$4$","difficulty":"mild"}


example_id: lp_01K92PYMKGV99E67S857J0RCGQ_01K92PYQ37TWNS694WN652BYYR_CONTEMPLATIVE_QUESTION
skills: ["Rounding decimals"]
skill_ids: ["tOymT8rmDzVNxapIeuBG"]
subtopics: ["Decimal Basics"]
subtopic_ids: ["subtopic_01GTC0BRP5RN8FWQ8WGTWNDDG7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You have $12.68$, $9.45$, and $3.79$. How would you round each to the nearest whole number and explain why?","teacherTips":["$12.68$ rounds to $13$, $9.45$ rounds to $9$, and $3.79$ rounds to $4$ based on the tenths digit."],"difficulty":"mild"}


example_id: lp_01K92PYMKGV99E67S857J0RCGQ_01K92PYQ37TWNS694WN8KK5H6K_MULTIPLE_CHOICE_QUESTION
skills: ["Rounding decimals"]
skill_ids: ["tOymT8rmDzVNxapIeuBG"]
subtopics: ["Decimal Basics"]
subtopic_ids: ["subtopic_01GTC0BRP5RN8FWQ8WGTWNDDG7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"What is $7.846$ rounded to the nearest hundredth?","answerOptions":["$7.84$","$7.85$","$7.80$","$7.90$"],"answer":"$7.85$","difficulty":"hot"}


example_id: lp_01K92PYMKGV99E67S857J0RCGQ_01K92PYQ37TWNS694WNAQJC91W_CONTEMPLATIVE_QUESTION
skills: ["Rounding decimals"]
skill_ids: ["tOymT8rmDzVNxapIeuBG"]
subtopics: ["Decimal Basics"]
subtopic_ids: ["subtopic_01GTC0BRP5RN8FWQ8WGTWNDDG7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"You have $3.256$, $5.782$, and $7.499$. How could you round each to the nearest whole number, tenth, and hundredth? Explain your reasoning.","teacherTips":["To round $5.782$ to the nearest tenth: $8$ in hundredths rounds $7$ to $8$, giving $5.8$."],"difficulty":"hot"}


example_id: lp_01K92PYMKGV99E67S857J0RCGQ_01K92PYQ37TWNS694WN26Y7SD4_MULTIPLE_CHOICE_QUESTION
skills: ["Rounding decimals"]
skill_ids: ["tOymT8rmDzVNxapIeuBG"]
subtopics: ["Decimal Basics"]
subtopic_ids: ["subtopic_01GTC0BRP5RN8FWQ8WGTWNDDG7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is $3.74$ rounded to the nearest whole number?","answerOptions":["$3$","$4$","$3.7$","$3.8$"],"answer":"$4$","difficulty":"mild"}


example_id: lp_01K92PYMKGV99E67S857J0RCGQ_01K92PYNXD2RQRM88TADAT46Z4_SCAFFOLDED_QUESTION
skills: ["Rounding decimals"]
skill_ids: ["tOymT8rmDzVNxapIeuBG"]
subtopics: ["Decimal Basics"]
subtopic_ids: ["subtopic_01GTC0BRP5RN8FWQ8WGTWNDDG7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this activity, you will practice rounding decimals. Rounding means making a number simpler while keeping its value close to what it is.","questions":[{"answer":"$7.8$","question":"What is $3.6$ rounded to the nearest whole number?\nHint: Check if the tenths place is $5$ or greater."},{"answer":"$3$","question":"What is $3.56$ rounded to the nearest tenth?\nHint: Check if the hundredths place is $5$ or greater."},{"answer":"$4$","question":"What is $7.84$ rounded to the nearest tenth?\nRemember to check if the hundredths place is $5$ or greater."}],"difficulty":"enabling"}


example_id: lp_01K92PYMKGV99E67S857J0RCGQ_01K92PYNXD2RQRM88TAN01G8NE_SCAFFOLDED_QUESTION
skills: ["Rounding decimals"]
skill_ids: ["tOymT8rmDzVNxapIeuBG"]
subtopics: ["Decimal Basics"]
subtopic_ids: ["subtopic_01GTC0BRP5RN8FWQ8WGTWNDDG7"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore the intricacies of rounding decimals to the nearest whole number, tenth, and hundredth.","questions":[{"answer":"The rounded sum is $9$, and the difference is $0.17$.","question":"Round $7.49$ to the nearest whole number."},{"answer":"$7$","question":"Round $12.348$ to the nearest tenth."},{"answer":"$12.3$","question":"Explain how rounding $5.678$ and $3.492$ to the nearest whole number changes their sum.\nWhat is the difference between the rounded sum and the actual sum?"}],"difficulty":"extension"}


example_id: lp_01K92Q3KRK96KB8F2BW7096EKZ_01K92Q3MPG0E418DFQVJERRTKS_THOUGHT_SPARKER
skills: ["Solving multiplication problems with more than two numbers"]
skill_ids: ["Owhlr0HmbxvyACwWbieV"]
subtopics: ["Multiplication"]
subtopic_ids: ["subtopic_01GTC0BPW8CZ3ARVMJCWNHB4BW"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Fishing
class_year: 5
country: US
period_number: 5
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"A fishing boat catches $5$ fish in the morning, $8$ fish in the afternoon, and $6$ fish in the evening on each trip. They make $3$ trips in one day.","firstSentence":"How could you calculate the total number of fish caught in one day?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to break the problem into smaller steps, such as calculating the total for one trip first.","Discuss the importance of the order of multiplication and grouping numbers to simplify calculations.","Use visual aids like arrays or tables to help students organize their thinking and verify their answers."]}


example_id: lp_01K92Q3KRK96KB8F2BW7096EKZ_01K92Q3MPG0E418DFQTS4E72NN_APPLICATION
skills: ["Solving multiplication problems with more than two numbers"]
skill_ids: ["Owhlr0HmbxvyACwWbieV"]
subtopics: ["Multiplication"]
subtopic_ids: ["subtopic_01GTC0BPW8CZ3ARVMJCWNHB4BW"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Fishing
class_year: 5
country: US
period_number: 5
node_type: APPLICATION
example_output_json:
{"title":"Fishing Net Design and Catch Calculation","example1Header":"Situation\nProfessional fishers use large nets designed to catch many fish at once. They calculate the total potential catch based on the size and layers of the net used.","example1Body":"Example\nA fishing net has $4$ rows, each with $3$ nets, and each net catches $5$ fish. The total catch is calculated as $5 \\times 4 \\times 3 = 60$ fish.","example2Header":"","example2Body":""}


example_id: lp_01K92Q3KRK96KB8F2BW7096EKZ_01K92Q3MPG0E418DFQVG5P1D2Y_CONTEMPLATIVE_QUESTION
skills: ["Solving multiplication problems with more than two numbers"]
skill_ids: ["Owhlr0HmbxvyACwWbieV"]
subtopics: ["Multiplication"]
subtopic_ids: ["subtopic_01GTC0BPW8CZ3ARVMJCWNHB4BW"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Fishing
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You are organizing a fundraiser. If there are $3$ tables, each with $5$ rows of $4$ chairs, how many chairs do you have? What other combinations of groups could give the same total?","teacherTips":["Encourage students to use different groupings to solve $3 \\times 5 \\times 4$.","Prompt students to explain why their grouping method works.","Connect the problem to real-life situations, like arranging furniture."],"difficulty":"mild"}


example_id: lp_01K92Q3KRK96KB8F2BW7096EKZ_01K92Q3MPG0E418DFQVRWBTZAY_EXIT_TICKET
skills: ["Solving multiplication problems with more than two numbers"]
skill_ids: ["Owhlr0HmbxvyACwWbieV"]
subtopics: ["Multiplication"]
subtopic_ids: ["subtopic_01GTC0BPW8CZ3ARVMJCWNHB4BW"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Fishing
class_year: 5
country: US
period_number: 5
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$8$","question":"A fisherman catches $2$ fish in $3$ hours, and each fish weighs $4$ pounds. What is the total weight of the fish caught?"},{"answer":"$15$","question":"A fishing boat catches $5$ fish every $2$ hours. If the boat fishes for $6$ hours, how many fish are caught?"},{"answer":"$60$","question":"If $3$ fishermen each catch $4$ fish, and each fish weighs $5$ pounds, what is the total weight of all the fish?"}]}


example_id: lp_01K92Q3KRK96KB8F2BW7096EKZ_01K92Q3MPG0E418DFQTXY0TCE8_ACTIVITY
skills: ["Solving multiplication problems with more than two numbers"]
skill_ids: ["Owhlr0HmbxvyACwWbieV"]
subtopics: ["Multiplication"]
subtopic_ids: ["subtopic_01GTC0BPW8CZ3ARVMJCWNHB4BW"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Fishing
class_year: 5
country: US
period_number: 5
node_type: ACTIVITY
example_output_json:
{"header":"Multiplication Relay\nTeams race to create and solve multiplication problems with three numbers.","scenario":"Steps\n1. Each team writes three numbers on paper (e.g., $4$, $5$, $6$).\n2. Swap numbers with another team to create a multiplication expression.\n3. Solve the expression (e.g., $4 \\times 5 \\times 6 = 120$) as fast as possible.\n4. Check answers with the other team; correct answers earn $1$ point.\n5. Play $5$ rounds; the team with the most points wins!","steps":["Discussion\n• Does the order of multiplication change the result?\n• What strategies helped solve problems faster?","Differentiation Opportunities\n• Support: Use smaller numbers (e.g., $1$ to $5$) to simplify calculations.\n• Extend: Use four numbers instead of three in the multiplication expression."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K92Q98C3WY037SHRP89958V9_01K92Q99VXDW50XN8SVWBH2C4V_MULTIPLE_CHOICE_QUESTION
skills: ["Solving problems using long division"]
skill_ids: ["IueyI8jY9iVf60sBFdwz"]
subtopics: ["Division"]
subtopic_ids: ["subtopic_01GTC0BKW1XZXBK9NSWCA3073X"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: spicy
example_output_json:
{"question":"A farmer has $2\\,345$ apples and wants to pack them equally into $35$ boxes. How many apples will each box contain, and how many will be left over?","answerOptions":["Each box will contain $67$ apples, $10$ left over","Each box will contain $67$ apples, $20$ left over","Each box will contain $66$ apples, $25$ left over","Each box will contain $66$ apples, $35$ left over"],"answer":"Each box will contain $67$ apples, $10$ left over","difficulty":"spicy"}


example_id: lp_01K92Q98C3WY037SHRP89958V9_01K92Q99VXDW50XN8SVKB8YXDV_MULTIPLE_CHOICE_QUESTION
skills: ["Solving problems using long division"]
skill_ids: ["IueyI8jY9iVf60sBFdwz"]
subtopics: ["Division"]
subtopic_ids: ["subtopic_01GTC0BKW1XZXBK9NSWCA3073X"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is $84 \\div 7$?","answerOptions":["$11$","$12$","$13$","$14$"],"answer":"$12$","difficulty":"mild"}


example_id: lp_01K92Q98C3WY037SHRP89958V9_01K92Q99VXDW50XN8SVZT1KEP2_CONTEMPLATIVE_QUESTION
skills: ["Solving problems using long division"]
skill_ids: ["IueyI8jY9iVf60sBFdwz"]
subtopics: ["Division"]
subtopic_ids: ["subtopic_01GTC0BKW1XZXBK9NSWCA3073X"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"You have $1\\,236$ candies to pack into boxes of $42$ candies each. How would you plan the packing? What if some candies are left over? How could you use them?","teacherTips":["Divide $1\\,236 \\div 42$ to get $29$ boxes with $18$ candies left over. Plan to use leftovers creatively."],"difficulty":"spicy"}


example_id: lp_01K92Q98C3WY037SHRP89958V9_01K92Q99VXDW50XN8SVRG1YXNR_CONTEMPLATIVE_QUESTION
skills: ["Solving problems using long division"]
skill_ids: ["IueyI8jY9iVf60sBFdwz"]
subtopics: ["Division"]
subtopic_ids: ["subtopic_01GTC0BKW1XZXBK9NSWCA3073X"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"You have $432$ apples to pack into boxes. Each box holds $24$ apples. How many boxes will you need? If you have leftover apples, what could you do with them?","teacherTips":["$432 \\div 24 = 18$ boxes with no leftovers. If leftovers, options include saving or sharing them."],"difficulty":"hot"}


example_id: lp_01K92Q98C3WY037SHRP89958V9_01K92Q99E1H7ZDGRFSR92GX3SX_SCAFFOLDED_QUESTION
skills: ["Solving problems using long division"]
skill_ids: ["IueyI8jY9iVf60sBFdwz"]
subtopics: ["Division"]
subtopic_ids: ["subtopic_01GTC0BKW1XZXBK9NSWCA3073X"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Use long division to solve challenging problems and justify your reasoning.","questions":[{"answer":"It works because it breaks numbers into parts using repeated subtraction and place value.","question":"What is $8\\,456 \\div 14$?"},{"answer":"$604$","question":"What is $9\\,237 \\div 25$? Express your answer as a mixed number."},{"answer":"$369 \\frac{12}{25}$","question":"Explain why the long division method works for any two whole numbers, using $7\\,854 \\div 18$ as an example."}],"difficulty":"extension"}


example_id: lp_01K92Q98C3WY037SHRP89958V9_01K92Q99E1H7ZDGRFSR6YCJK7S_SCAFFOLDED_QUESTION
skills: ["Solving problems using long division"]
skill_ids: ["IueyI8jY9iVf60sBFdwz"]
subtopics: ["Division"]
subtopic_ids: ["subtopic_01GTC0BKW1XZXBK9NSWCA3073X"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will practice solving long division problems step by step.","questions":[{"answer":"$12$","question":"What is $36 \\div 6$?\nHint: Think about how many times $6$ fits into $36$."},{"answer":"$5$","question":"What is $84 \\div 7$?\nHint: Divide $84$ into equal groups of $7$."},{"answer":"$6$","question":"What is $144 \\div 12$?\nHint: Think of the closest multiple of $12$ to $144$."}],"difficulty":"enabling"}


example_id: lp_01K92Q42N9TXF9BVA7S36NSK1M_01K92Q43VRE50ZAF8J9MXGNJ0T_CONTEMPLATIVE_QUESTION
skills: ["Solving multiplication problems with more than two numbers"]
skill_ids: ["Owhlr0HmbxvyACwWbieV"]
subtopics: ["Multiplication"]
subtopic_ids: ["subtopic_01GTC0BPW8CZ3ARVMJCWNHB4BW"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You are organizing a school event. You need $3$ rows of $6$ chairs in $4$ classrooms. How would you calculate the total number of chairs needed? Could you solve it in different ways?","teacherTips":["$3 \\times 6 = 18$, then $18 \\times 4 = 72$. Or $6 \\times 4 = 24$, then $24 \\times 3 = 72$."],"difficulty":"mild"}


example_id: lp_01K92Q42N9TXF9BVA7S36NSK1M_01K92Q43VRE50ZAF8JA9MDQ91Q_MULTIPLE_CHOICE_QUESTION
skills: ["Solving multiplication problems with more than two numbers"]
skill_ids: ["Owhlr0HmbxvyACwWbieV"]
subtopics: ["Multiplication"]
subtopic_ids: ["subtopic_01GTC0BPW8CZ3ARVMJCWNHB4BW"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: spicy
example_output_json:
{"question":"What is the product of $12 \\times 8 \\times 5$?","answerOptions":["$420$","$480$","$460$","$500$"],"answer":"$480$","difficulty":"spicy"}


example_id: lp_01K92Q42N9TXF9BVA7S36NSK1M_01K92Q43VRE50ZAF8J9YAC5SD2_MULTIPLE_CHOICE_QUESTION
skills: ["Solving multiplication problems with more than two numbers"]
skill_ids: ["Owhlr0HmbxvyACwWbieV"]
subtopics: ["Multiplication"]
subtopic_ids: ["subtopic_01GTC0BPW8CZ3ARVMJCWNHB4BW"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"What is the value of $3 \\times 4 \\times 5$?","answerOptions":["$60$","$45$","$75$","$50$"],"answer":"$60$","difficulty":"hot"}


example_id: lp_01K92Q42N9TXF9BVA7S36NSK1M_01K92Q43VRE50ZAF8JA32J7ZCA_MULTIPLE_CHOICE_QUESTION
skills: ["Solving multiplication problems with more than two numbers"]
skill_ids: ["Owhlr0HmbxvyACwWbieV"]
subtopics: ["Multiplication"]
subtopic_ids: ["subtopic_01GTC0BPW8CZ3ARVMJCWNHB4BW"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"What is the result of $2 \\times 3 \\times 4$?","answerOptions":["$18$","$20$","$24$","$28$"],"answer":"$24$","difficulty":"hot"}


example_id: lp_01K92Q42N9TXF9BVA7S36NSK1M_01K92Q43VRE50ZAF8J9E52S1S1_CONTEMPLATIVE_QUESTION
skills: ["Solving multiplication problems with more than two numbers"]
skill_ids: ["Owhlr0HmbxvyACwWbieV"]
subtopics: ["Multiplication"]
subtopic_ids: ["subtopic_01GTC0BPW8CZ3ARVMJCWNHB4BW"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You are organizing chairs for a class event. Each row has $5$ chairs, and there are $4$ rows in each section. If there are $3$ sections, how many chairs are there in total? Can you find another way to calculate it?","teacherTips":["Multiply $5 \\times 4 = 20$, then $20 \\times 3 = 60$. Or group $4 \\times 3 = 12$, then $12 \\times 5 = 60$."],"difficulty":"mild"}


example_id: lp_01K92Q42N9TXF9BVA7S36NSK1M_01K92Q43VRE50ZAF8J9PDYR9V5_MULTIPLE_CHOICE_QUESTION
skills: ["Solving multiplication problems with more than two numbers"]
skill_ids: ["Owhlr0HmbxvyACwWbieV"]
subtopics: ["Multiplication"]
subtopic_ids: ["subtopic_01GTC0BPW8CZ3ARVMJCWNHB4BW"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is $2 \\times 3 \\times 4$?","answerOptions":["$18$","$20$","$24$","$28$"],"answer":"$24$","difficulty":"mild"}


example_id: lp_01K92Q42N9TXF9BVA7S36NSK1M_01K92Q43VRE50ZAF8JACM78EVN_MULTIPLE_CHOICE_QUESTION
skills: ["Solving multiplication problems with more than two numbers"]
skill_ids: ["Owhlr0HmbxvyACwWbieV"]
subtopics: ["Multiplication"]
subtopic_ids: ["subtopic_01GTC0BPW8CZ3ARVMJCWNHB4BW"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: spicy
example_output_json:
{"question":"What is the product of $6 \\times 8 \\times 4$?","answerOptions":["$162$","$192$","$204$","$224$"],"answer":"$192$","difficulty":"spicy"}


example_id: lp_01K92Q42N9TXF9BVA7S36NSK1M_01K92Q43EPHXFZFJQTT49NR2A3_SCAFFOLDED_QUESTION
skills: ["Solving multiplication problems with more than two numbers"]
skill_ids: ["Owhlr0HmbxvyACwWbieV"]
subtopics: ["Multiplication"]
subtopic_ids: ["subtopic_01GTC0BPW8CZ3ARVMJCWNHB4BW"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Solve challenging multiplication problems involving three or more numbers to uncover hidden patterns.","questions":[{"answer":"The properties simplify calculations efficiently.","question":"What is the product of $12$, $15$, and $4$?"},{"answer":"$720$","question":"Find the result of multiplying $7$, $8$, $5$, and $3$ together."},{"answer":"$840$","question":"Explain how the associative and commutative properties of multiplication can simplify the calculation of $25 \\times 8 \\times 4 \\times 5$."}],"difficulty":"extension"}


example_id: lp_01K92Q42N9TXF9BVA7S36NSK1M_01K92Q43EPHXFZFJQTT0B2SR5T_SCAFFOLDED_QUESTION
skills: ["Solving multiplication problems with more than two numbers"]
skill_ids: ["Owhlr0HmbxvyACwWbieV"]
subtopics: ["Multiplication"]
subtopic_ids: ["subtopic_01GTC0BPW8CZ3ARVMJCWNHB4BW"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 5
country: US
period_number: 5
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn how to solve multiplication problems with more than two numbers by breaking them into smaller steps.","questions":[{"answer":"$24$","question":"What is $2 \\times 3$?"},{"answer":"$5$","question":"What is $6 \\times 4$?\n(Hint: Use your answer from $2 \\times 3$ as $6$.)"},{"answer":"$6$","question":"What is $2 \\times 3 \\times 4$?\n(Hint: Start by solving $2 \\times 3$, then multiply by $4$.)"}],"difficulty":"enabling"}


example_id: lp_01K92QBTQ1WQG26HKXT8GYPWF6_01K92QBVJHJAR6TWD1EM4PK5V1_ACTIVITY
skills: ["Solving problems using long division"]
skill_ids: ["IueyI8jY9iVf60sBFdwz"]
subtopics: ["Division"]
subtopic_ids: ["subtopic_01GTC0BKW1XZXBK9NSWCA3073X"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Rugby
class_year: 5
country: US
period_number: 5
node_type: ACTIVITY
example_output_json:
{"header":"Pizza Slice Division\nYou’re sharing pizzas at a party! Find out how many slices each person gets.","scenario":"Steps\n1. Each team writes $3$ division problems, like $56 \\div 8$ or $125 \\div 5$.\n2. Trade problems with another team and solve them using long division.\n3. Check each other's work for mistakes and correct answers.\n4. Earn $1$ point for every correct solution your team provides.\n5. The team with the most points wins the pizza challenge!","steps":["Discussion\n• Why is it important to check each step of long division?\n• What happens if a remainder is left after dividing?","Differentiation Opportunities\n• Support: Use smaller numbers, like $24 \\div 3$ or $48 \\div 6$, for simpler problems.\n• Extend: Create problems with larger numbers, like $1\\,234 \\div 12$ or $2\\,456 \\div 23$."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K92QBTQ1WQG26HKXT8GYPWF6_01K92QBVJHJAR6TWD1F3WKEMK0_CONTEMPLATIVE_QUESTION
skills: ["Solving problems using long division"]
skill_ids: ["IueyI8jY9iVf60sBFdwz"]
subtopics: ["Division"]
subtopic_ids: ["subtopic_01GTC0BKW1XZXBK9NSWCA3073X"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Rugby
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You have $156$ cookies to pack into boxes. Each box holds $12$ cookies. How would you divide them? What if each box held $8$ cookies instead?","teacherTips":["Encourage students to use long division for both scenarios.","Discuss remainders and what they represent in real life.","Compare how the number of boxes changes with different box sizes."],"difficulty":"mild"}


example_id: lp_01K92QBTQ1WQG26HKXT8GYPWF6_01K92QBVJHJAR6TWD1FBC4YKEE_EXIT_TICKET
skills: ["Solving problems using long division"]
skill_ids: ["IueyI8jY9iVf60sBFdwz"]
subtopics: ["Division"]
subtopic_ids: ["subtopic_01GTC0BKW1XZXBK9NSWCA3073X"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Rugby
class_year: 5
country: US
period_number: 5
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$9$","question":"A rugby team had $72$ players and formed $8$ equal groups. How many players were in each group?"},{"answer":"$36$","question":"A rugby club has $432$ tickets to distribute equally among $12$ teams. How many tickets does each team get?"},{"answer":"$42$","question":"There are $1\\,428$ rugby balls to be divided equally among $34$ teams. How many rugby balls will each team receive?"}]}


example_id: lp_01K92QBTQ1WQG26HKXT8GYPWF6_01K92QBVJHJAR6TWD1FA3ZZ4F6_THOUGHT_SPARKER
skills: ["Solving problems using long division"]
skill_ids: ["IueyI8jY9iVf60sBFdwz"]
subtopics: ["Division"]
subtopic_ids: ["subtopic_01GTC0BKW1XZXBK9NSWCA3073X"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Rugby
class_year: 5
country: US
period_number: 5
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"A rugby team has $2\\,436$ tickets to give away to $27$ different fan groups, with each group getting an equal number of tickets.","firstSentence":"How many tickets will each fan group receive?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to set up the long division problem step by step before solving.","Discuss the importance of checking the answer by multiplying the quotient by the divisor.","Ask students to explain their reasoning and share strategies for managing large numbers in division."]}


example_id: lp_01K92QBTQ1WQG26HKXT8GYPWF6_01K92QBVJHJAR6TWD1EHW832RH_APPLICATION
skills: ["Solving problems using long division"]
skill_ids: ["IueyI8jY9iVf60sBFdwz"]
subtopics: ["Division"]
subtopic_ids: ["subtopic_01GTC0BKW1XZXBK9NSWCA3073X"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Rugby
class_year: 5
country: US
period_number: 5
node_type: APPLICATION
example_output_json:
{"title":"Long Division in Rugby Score Analysis","example1Header":"Situation\nRugby analysts track team performance by breaking down points scored in a game. This helps them understand how players contribute to the team's total score.","example1Body":"Example\nA rugby team scores $168$ points in a season with $14$ players. Dividing $168 \\div 14$ using long division gives $12$ points per player on average.","example2Header":"","example2Body":""}


example_id: lp_01K92QH3ANNNZ8W9F2TN157RYW_01K92QH494SK8S8ZGV5BYH3VHW_APPLICATION
skills: ["Decimal addition and subtraction","Multiplying and dividing decimals by powers of $10$"]
skill_ids: ["N4zF9UZM8Y0Xux6SOQ6Z","2NGACKk6WzHaCjc0wgpf"]
subtopics: ["Arithmetic Sequences"]
subtopic_ids: ["subtopic_01GTC0BEFEWXEHWF7561BSESWQ"]
topic: Integers
topic_id: DIv63rzvaw6WyOlJUkHg
context: Solar Energy
class_year: 5
country: US
period_number: 5
node_type: APPLICATION
example_output_json:
{"title":"Tracking Solar Panel Energy Production","example1Header":"Situation\nSolar energy technicians monitor daily energy production from solar panels. They often analyze data in decimal form to ensure panels are working efficiently.","example1Body":"Example\nA technician adds decimal values for panel outputs: $12.6 + 15.8 + 14.2 = 42.6$ kWh. They subtract expected output: $42.6 - 42.6 = 0$, confirming everything is working well.","example2Header":"","example2Body":""}


example_id: lp_01K92QH3ANNNZ8W9F2TN157RYW_01K92QH494SK8S8ZGV5TKRC8PB_THOUGHT_SPARKER
skills: ["Decimal addition and subtraction","Multiplying and dividing decimals by powers of $10$"]
skill_ids: ["N4zF9UZM8Y0Xux6SOQ6Z","2NGACKk6WzHaCjc0wgpf"]
subtopics: ["Arithmetic Sequences"]
subtopic_ids: ["subtopic_01GTC0BEFEWXEHWF7561BSESWQ"]
topic: Integers
topic_id: DIv63rzvaw6WyOlJUkHg
context: Solar Energy
class_year: 5
country: US
period_number: 5
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"A solar panel produces $1.25$ kilowatt-hours (kWh) of energy each day. If the panel operates for $10$ days, it generates $12.5$ kWh in total.","firstSentence":"How could you compare the energy produced in $10$ days to the energy produced in $100$ days?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to explore the relationship between the number of days and total energy production, using multiplication or division by powers of $10$.","Ask students to explain their reasoning and discuss whether they used patterns in decimal place shifting.","Use visual aids, like number lines or tables, to help students see how energy values scale with time."]}


example_id: lp_01K92QH3ANNNZ8W9F2TN157RYW_01K92QH494SK8S8ZGV5ZMKVKN2_EXIT_TICKET
skills: ["Decimal addition and subtraction","Multiplying and dividing decimals by powers of $10$"]
skill_ids: ["N4zF9UZM8Y0Xux6SOQ6Z","2NGACKk6WzHaCjc0wgpf"]
subtopics: ["Arithmetic Sequences"]
subtopic_ids: ["subtopic_01GTC0BEFEWXEHWF7561BSESWQ"]
topic: Integers
topic_id: DIv63rzvaw6WyOlJUkHg
context: Solar Energy
class_year: 5
country: US
period_number: 5
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$7.7$","question":"A solar panel produces $4.5$ kWh in the morning and $3.2$ kWh in the afternoon. How much energy does it produce in total?"},{"answer":"$25$","question":"If a solar panel generates $0.25$ kWh every minute, how much energy does it generate in $10^2$ minutes?"},{"answer":"$12.56$","question":"A solar farm produces $125.6$ kWh per hour. How much energy does it produce in $10^{-1}$ hours?"}]}


example_id: lp_01K92QH3ANNNZ8W9F2TN157RYW_01K92QH494SK8S8ZGV5R0VJMZV_CONTEMPLATIVE_QUESTION
skills: ["Decimal addition and subtraction","Multiplying and dividing decimals by powers of $10$"]
skill_ids: ["N4zF9UZM8Y0Xux6SOQ6Z","2NGACKk6WzHaCjc0wgpf"]
subtopics: ["Arithmetic Sequences"]
subtopic_ids: ["subtopic_01GTC0BEFEWXEHWF7561BSESWQ"]
topic: Integers
topic_id: DIv63rzvaw6WyOlJUkHg
context: Solar Energy
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You have $15.75$ dollars. How would multiplying or dividing by powers of $10$ change its value? Try adding or subtracting decimals too. What could you buy or save for?","teacherTips":["Encourage students to explore multiplying by $10$, $100$, or $0.1$.","Discuss how dividing by $10$ or $100$ reduces the value.","Prompt students to connect decimals to real-life purchases or savings."],"difficulty":"mild"}


example_id: lp_01K92QH3ANNNZ8W9F2TN157RYW_01K92QH494SK8S8ZGV5C5B0SB1_ACTIVITY
skills: ["Decimal addition and subtraction","Multiplying and dividing decimals by powers of $10$"]
skill_ids: ["N4zF9UZM8Y0Xux6SOQ6Z","2NGACKk6WzHaCjc0wgpf"]
subtopics: ["Arithmetic Sequences"]
subtopic_ids: ["subtopic_01GTC0BEFEWXEHWF7561BSESWQ"]
topic: Integers
topic_id: DIv63rzvaw6WyOlJUkHg
context: Solar Energy
class_year: 5
country: US
period_number: 5
node_type: ACTIVITY
example_output_json:
{"header":"Decimal Distance Race\nYour team is racing across different planets. Calculate distances to win!","scenario":"Steps\n1. Each team writes $5$ distances (e.g., $2.5$, $0.75$, $10.6$ km).\n2. Multiply or divide each distance by $10$, $100$, or $1\\,000$.\n3. Add up all new distances to get your total.\n4. Compare your totals with other teams to see who traveled the farthest!\n5. Check each other's math to ensure all calculations are correct.","steps":["Discussion\n• What happens to the decimal when multiplying by $10$ or $1\\,000$?\n• Why is it important to align decimals when adding?","Differentiation Opportunities\n• Support: Use only one operation (multiply or divide) for all distances.\n• Extend: Include additional operations like subtraction or use larger powers of $10$."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K92QJBR82Z4YBJ6R8A5R0SE0_01K92QJD513Z3NGX6KP27C2KXA_MULTIPLE_CHOICE_QUESTION
skills: ["Decimal addition and subtraction","Multiplying and dividing decimals by powers of $10$"]
skill_ids: ["N4zF9UZM8Y0Xux6SOQ6Z","2NGACKk6WzHaCjc0wgpf"]
subtopics: ["Arithmetic Sequences"]
subtopic_ids: ["subtopic_01GTC0BEFEWXEHWF7561BSESWQ"]
topic: Integers
topic_id: DIv63rzvaw6WyOlJUkHg
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"Maria had $12.85$ in her wallet. She bought a notebook for $4.95$ and a pen for $2.50$. How much money does she have left?","answerOptions":["$5.40$","$6.40$","$4.50$","$5.30$"],"answer":"$5.40$","difficulty":"hot"}


example_id: lp_01K92QJBR82Z4YBJ6R8A5R0SE0_01K92QJD513Z3NGX6KNWR9XMAP_CONTEMPLATIVE_QUESTION
skills: ["Decimal addition and subtraction","Multiplying and dividing decimals by powers of $10$"]
skill_ids: ["N4zF9UZM8Y0Xux6SOQ6Z","2NGACKk6WzHaCjc0wgpf"]
subtopics: ["Arithmetic Sequences"]
subtopic_ids: ["subtopic_01GTC0BEFEWXEHWF7561BSESWQ"]
topic: Integers
topic_id: DIv63rzvaw6WyOlJUkHg
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You spent $\\$12.45$ on lunch and $\\$8.75$ on a book. How could you calculate your total cost? What if you returned an item and subtracted its cost?","teacherTips":["Add $\\$12.45 + \\$8.75$ to find the total. Subtract an item's cost to find the remaining balance."],"difficulty":"mild"}


example_id: lp_01K92QJBR82Z4YBJ6R8A5R0SE0_01K92QJD513Z3NGX6KP5XY7NB8_MULTIPLE_CHOICE_QUESTION
skills: ["Decimal addition and subtraction","Multiplying and dividing decimals by powers of $10$"]
skill_ids: ["N4zF9UZM8Y0Xux6SOQ6Z","2NGACKk6WzHaCjc0wgpf"]
subtopics: ["Arithmetic Sequences"]
subtopic_ids: ["subtopic_01GTC0BEFEWXEHWF7561BSESWQ"]
topic: Integers
topic_id: DIv63rzvaw6WyOlJUkHg
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: spicy
example_output_json:
{"question":"A store has $\\$125.75$. It receives $\\$43.89$ from sales and spends $\\$87.50$ on supplies. How much money does the store have now?","answerOptions":["$\\$82.14$","$\\$92.14$","$\\$81.14$","$\\$91.14$"],"answer":"$\\$82.14$","difficulty":"spicy"}


example_id: lp_01K92QJBR82Z4YBJ6R8A5R0SE0_01K92QJD513Z3NGX6KNTP600MY_MULTIPLE_CHOICE_QUESTION
skills: ["Decimal addition and subtraction","Multiplying and dividing decimals by powers of $10$"]
skill_ids: ["N4zF9UZM8Y0Xux6SOQ6Z","2NGACKk6WzHaCjc0wgpf"]
subtopics: ["Arithmetic Sequences"]
subtopic_ids: ["subtopic_01GTC0BEFEWXEHWF7561BSESWQ"]
topic: Integers
topic_id: DIv63rzvaw6WyOlJUkHg
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is $3.2 + 4.5$?","answerOptions":["$7.7$","$7.6$","$8.7$","$6.5$"],"answer":"$7.7$","difficulty":"mild"}


example_id: lp_01K92QJBR82Z4YBJ6R8A5R0SE0_01K92QJD52ED99QA4J7F20571N_CONTEMPLATIVE_QUESTION
skills: ["Decimal addition and subtraction","Multiplying and dividing decimals by powers of $10$"]
skill_ids: ["N4zF9UZM8Y0Xux6SOQ6Z","2NGACKk6WzHaCjc0wgpf"]
subtopics: ["Arithmetic Sequences"]
subtopic_ids: ["subtopic_01GTC0BEFEWXEHWF7561BSESWQ"]
topic: Integers
topic_id: DIv63rzvaw6WyOlJUkHg
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"You have $1.25$ L of juice. If you multiply or divide by powers of $10$, what could be the new volumes? How would you explain your reasoning for each transformation?","teacherTips":["Multiplying moves the decimal point right; dividing moves it left. Example: $1.25 \\times 10 = 12.5$."],"difficulty":"spicy"}


example_id: lp_01K92QJBR82Z4YBJ6R8A5R0SE0_01K92QJD52ED99QA4J79TWDJRB_MULTIPLE_CHOICE_QUESTION
skills: ["Decimal addition and subtraction","Multiplying and dividing decimals by powers of $10$"]
skill_ids: ["N4zF9UZM8Y0Xux6SOQ6Z","2NGACKk6WzHaCjc0wgpf"]
subtopics: ["Arithmetic Sequences"]
subtopic_ids: ["subtopic_01GTC0BEFEWXEHWF7561BSESWQ"]
topic: Integers
topic_id: DIv63rzvaw6WyOlJUkHg
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is $4.5 \\times 10$?","answerOptions":["$4.5$","$45$","$0.45$","$450$"],"answer":"$45$","difficulty":"mild"}


example_id: lp_01K92QJBR82Z4YBJ6R8A5R0SE0_01K92QJD52ED99QA4J74R3XAHK_MULTIPLE_CHOICE_QUESTION
skills: ["Decimal addition and subtraction","Multiplying and dividing decimals by powers of $10$"]
skill_ids: ["N4zF9UZM8Y0Xux6SOQ6Z","2NGACKk6WzHaCjc0wgpf"]
subtopics: ["Arithmetic Sequences"]
subtopic_ids: ["subtopic_01GTC0BEFEWXEHWF7561BSESWQ"]
topic: Integers
topic_id: DIv63rzvaw6WyOlJUkHg
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is $4.5 \\times 10$?","answerOptions":["$0.45$","$4.5$","$45$","$450$"],"answer":"$45$","difficulty":"mild"}


example_id: lp_01K92QJBR82Z4YBJ6R8A5R0SE0_01K92QJCKX2641C390W60XZSJQ_SCAFFOLDED_QUESTION
skills: ["Decimal addition and subtraction","Multiplying and dividing decimals by powers of $10$"]
skill_ids: ["N4zF9UZM8Y0Xux6SOQ6Z","2NGACKk6WzHaCjc0wgpf"]
subtopics: ["Arithmetic Sequences"]
subtopic_ids: ["subtopic_01GTC0BEFEWXEHWF7561BSESWQ"]
topic: Integers
topic_id: DIv63rzvaw6WyOlJUkHg
class_year: 5
country: US
period_number: 5
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn how to multiply and divide decimals by powers of $10$. Remember: powers of $10$ include $10$, $100$, $1\\,000$, etc.","questions":[{"answer":"$0.0045$","question":"What is $0.5 \\times 10$?\nHint: Multiplying by $10$ moves the decimal one place to the right."},{"answer":"$0.05$","question":"What is $0.25 \\times 100$?\nHint: Multiplying by $100$ moves the decimal two places to the right."},{"answer":"$5$","question":"What is $4.5 \\div 1\\,000$?\nHint: Dividing by $1\\,000$ moves the decimal three places to the left."}],"difficulty":"enabling"}


example_id: lp_01K92QJBR82Z4YBJ6R8A5R0SE0_01K92QJCKX2641C390WABBWPMT_SCAFFOLDED_QUESTION
skills: ["Decimal addition and subtraction","Multiplying and dividing decimals by powers of $10$"]
skill_ids: ["N4zF9UZM8Y0Xux6SOQ6Z","2NGACKk6WzHaCjc0wgpf"]
subtopics: ["Arithmetic Sequences"]
subtopic_ids: ["subtopic_01GTC0BEFEWXEHWF7561BSESWQ"]
topic: Integers
topic_id: DIv63rzvaw6WyOlJUkHg
class_year: 5
country: US
period_number: 5
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore the relationships between decimals and powers of $10$ through multiplication, division, addition, and subtraction.","questions":[{"answer":"$51.889$","question":"What is $4.732 \\times 1\\,000$?"},{"answer":"$4\\,732$","question":"What is $78.56 \\div 100$?"},{"answer":"$0.7856$","question":"Calculate $5.23 \\times 10 + 47.89 \\div 10 - 3.1$, and explain your reasoning."}],"difficulty":"extension"}


example_id: lp_01K92QS9CPBNRY7H7F38G1ZM3A_01K92QSAGPM6KXYSCR8JXQDZTT_CONTEMPLATIVE_QUESTION
skills: ["Addition and subtraction of fractions with different denominators"]
skill_ids: ["oNGFLugARhUuMWJZQbC1"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: Pizza
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You are baking cookies. The recipe needs $1/3$ cup of sugar and $1/4$ cup of honey. How would you add these fractions to find the total amount of sweetener needed? Show your work.","teacherTips":["Remind students to find a common denominator for $3$ and $4$.","Encourage students to explain why they chose their method.","Have students simplify their answer if possible."],"difficulty":"mild"}


example_id: lp_01K92QS9CPBNRY7H7F38G1ZM3A_01K92QSAGPM6KXYSCR8X5D9MRM_EXIT_TICKET
skills: ["Addition and subtraction of fractions with different denominators"]
skill_ids: ["oNGFLugARhUuMWJZQbC1"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: Pizza
class_year: 5
country: US
period_number: 5
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$\\frac{3}{8}$","question":"A pizza is cut into $4$ slices, and another is cut into $8$ slices. If you eat $1$ slice from each, what fraction of pizza did you eat?"},{"answer":"$\\frac{1}{9}$","question":"A pizza has $3$ slices left, each $\\frac{1}{3}$ of the pizza. If you eat $\\frac{2}{9}$ of it, how much pizza is left?"},{"answer":"$\\frac{1}{9}$","question":"You ate $\\frac{1}{6}$ of a pizza, and your friend ate $\\frac{2}{9}$. How much more pizza do you need to eat to reach $\\frac{1}{2}$?"}]}


example_id: lp_01K92QS9CPBNRY7H7F38G1ZM3A_01K92QSAGPM6KXYSCR8BAB3M8X_ACTIVITY
skills: ["Addition and subtraction of fractions with different denominators"]
skill_ids: ["oNGFLugARhUuMWJZQbC1"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: Pizza
class_year: 5
country: US
period_number: 5
node_type: ACTIVITY
example_output_json:
{"header":"Fraction Pizza Party\nYou're at a pizza party! Combine and share pizza slices to solve fraction problems.","scenario":"Steps\n1. Draw a pizza divided into $8$ slices on your paper.\n2. Write $3$ fraction problems (e.g., $\\frac{1}{4} + \\frac{1}{2}$).\n3. In teams, solve the problems by finding common denominators.\n4. Shade the solved fractions on your pizza drawing.\n5. Compare pizzas to check answers and find the fullest one!","steps":["Discussion\n• Why is finding a common denominator important?\n• How did you decide which fractions to combine first?","Differentiation Opportunities\n• Support: Use fractions with denominators of $2$, $4$, or $8$ only.\n• Extend: Include three fractions in each problem (e.g., $\\frac{1}{3} + \\frac{1}{4} - \\frac{1}{6}$)."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K92QS9CPBNRY7H7F38G1ZM3A_01K92QSAGPM6KXYSCR876JKMBT_APPLICATION
skills: ["Addition and subtraction of fractions with different denominators"]
skill_ids: ["oNGFLugARhUuMWJZQbC1"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: Pizza
class_year: 5
country: US
period_number: 5
node_type: APPLICATION
example_output_json:
{"title":"Fraction Calculations in Pizza Making","example1Header":"Situation\nPizza chefs often mix ingredient amounts to match recipes. Combining fractions ensures the right balance for toppings like cheese and sauce.","example1Body":"Example\nA chef combines $\\frac{1}{2}$ cheese and $\\frac{1}{3}$ sauce: $\\frac{1}{2} = \\frac{3}{6}$, $\\frac{1}{3} = \\frac{2}{6}$. Added: $\\frac{3}{6} + \\frac{2}{6} = \\frac{5}{6}$. Sauce left: $\\frac{4}{6} - \\frac{2}{6} = \\frac{2}{6}$.","example2Header":"","example2Body":""}


example_id: lp_01K92QS9CPBNRY7H7F38G1ZM3A_01K92QSAGPM6KXYSCR8Q27P4W9_THOUGHT_SPARKER
skills: ["Addition and subtraction of fractions with different denominators"]
skill_ids: ["oNGFLugARhUuMWJZQbC1"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: Pizza
class_year: 5
country: US
period_number: 5
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"You and your friends order a pizza, where half ($\\frac{1}{2}$) has pepperoni and one-third ($\\frac{1}{3}$) has mushrooms. The rest is plain cheese.","firstSentence":"How could you figure out how much of the pizza is plain cheese?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to find a common denominator for fractions with different denominators.","Use visual aids like drawings of pizzas to help students understand fractional parts.","Discuss real-life situations where fractions are added or subtracted, such as sharing food."]}


example_id: lp_01K92QSXVTS7VW1RXARRHQCXP4_01K92QSZ05RNKJQTX28ZRRER47_MULTIPLE_CHOICE_QUESTION
skills: ["Addition and subtraction of fractions with different denominators"]
skill_ids: ["oNGFLugARhUuMWJZQbC1"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is $\\frac{1}{2} + \\frac{1}{4}$?","answerOptions":["$\\frac{2}{4}$","$\\frac{3}{4}$","$1$","$\\frac{5}{8}$"],"answer":"$\\frac{3}{4}$","difficulty":"mild"}


example_id: lp_01K92QSXVTS7VW1RXARRHQCXP4_01K92QSZ05RNKJQTX2948DFZNH_MULTIPLE_CHOICE_QUESTION
skills: ["Addition and subtraction of fractions with different denominators"]
skill_ids: ["oNGFLugARhUuMWJZQbC1"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is $\\frac{1}{2} + \\frac{1}{4}$?","answerOptions":["$\\frac{3}{4}$","$\\frac{1}{6}$","$\\frac{2}{6}$","$\\frac{5}{8}$"],"answer":"$\\frac{3}{4}$","difficulty":"mild"}


example_id: lp_01K92QSXVTS7VW1RXARRHQCXP4_01K92QSZ05RNKJQTX29T350Q83_CONTEMPLATIVE_QUESTION
skills: ["Addition and subtraction of fractions with different denominators"]
skill_ids: ["oNGFLugARhUuMWJZQbC1"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"You are creating a pizza recipe. You need $\\frac{2}{3}$ cup of cheese and $\\frac{3}{4}$ cup of sauce. How could you find the total amount of ingredients needed? Could you express the total in different ways?","teacherTips":["Find a common denominator for $\\frac{2}{3}$ and $\\frac{3}{4}$, add, then simplify: $\\frac{17}{12}$ or $1\\frac{5}{12}$ cups."],"difficulty":"spicy"}


example_id: lp_01K92QSXVTS7VW1RXARRHQCXP4_01K92QSZ05RNKJQTX29MP1N252_CONTEMPLATIVE_QUESTION
skills: ["Addition and subtraction of fractions with different denominators"]
skill_ids: ["oNGFLugARhUuMWJZQbC1"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"You have $3/4$ of a pizza and your friend has $2/3$. How could you share it equally between 3 people?","teacherTips":["Use $9/12$ and $8/12$, total $17/12$. Divide by $3$: Each gets $17/36$ of a pizza."],"difficulty":"hot"}


example_id: lp_01K92QSXVTS7VW1RXARRHQCXP4_01K92QSZ05RNKJQTX29EDZRBSK_MULTIPLE_CHOICE_QUESTION
skills: ["Addition and subtraction of fractions with different denominators"]
skill_ids: ["oNGFLugARhUuMWJZQbC1"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is $\\frac{1}{2} + \\frac{1}{4}$?","answerOptions":["$\\frac{1}{6}$","$\\frac{3}{4}$","$\\frac{5}{8}$","$\\frac{2}{3}$"],"answer":"$\\frac{3}{4}$","difficulty":"mild"}


example_id: lp_01K92QSXVTS7VW1RXARRHQCXP4_01K92QSZ05RNKJQTX29JCBVTWM_MULTIPLE_CHOICE_QUESTION
skills: ["Addition and subtraction of fractions with different denominators"]
skill_ids: ["oNGFLugARhUuMWJZQbC1"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"What is $\\frac{3}{4} + \\frac{2}{6}$ in simplest form?","answerOptions":["$\\frac{5}{6}$","$\\frac{9}{12}$","$\\frac{13}{12}$","$\\frac{11}{12}$"],"answer":"$\\frac{13}{12}$","difficulty":"hot"}


example_id: lp_01K92QSXVTS7VW1RXARRHQCXP4_01K92QSZ05RNKJQTX29P8Y9ZS2_MULTIPLE_CHOICE_QUESTION
skills: ["Addition and subtraction of fractions with different denominators"]
skill_ids: ["oNGFLugARhUuMWJZQbC1"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: spicy
example_output_json:
{"question":"What is the result of $\\frac{3}{4} - \\frac{2}{3} + \\frac{5}{6}$?","answerOptions":["$\\frac{7}{12}$","$\\frac{5}{12}$","$\\frac{13}{12}$","$\\frac{11}{12}$"],"answer":"$\\frac{11}{12}$","difficulty":"spicy"}


example_id: lp_01K92QSXVTS7VW1RXARRHQCXP4_01K92QSZ05RNKJQTX29B33BKBW_MULTIPLE_CHOICE_QUESTION
skills: ["Addition and subtraction of fractions with different denominators"]
skill_ids: ["oNGFLugARhUuMWJZQbC1"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is $\\frac{1}{4} + \\frac{1}{2}$?","answerOptions":["$\\frac{1}{8}$","$\\frac{3}{4}$","$\\frac{2}{6}$","$\\frac{5}{8}$"],"answer":"$\\frac{3}{4}$","difficulty":"mild"}


example_id: lp_01K92QSXVTS7VW1RXARRHQCXP4_01K92QSYHAPKG642TFSDKBR52F_SCAFFOLDED_QUESTION
skills: ["Addition and subtraction of fractions with different denominators"]
skill_ids: ["oNGFLugARhUuMWJZQbC1"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 5
country: US
period_number: 5
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore complex fraction addition and subtraction to uncover hidden relationships between fractions with different denominators.","questions":[{"answer":"Answers will vary but must include finding the LCD and equivalent fractions.","question":"What is $\\frac{3}{8} + \\frac{5}{12}$? Simplify your answer if possible."},{"answer":"$\\frac{19}{24}$","question":"Evaluate $\\frac{7}{15} + \\frac{2}{10} - \\frac{1}{6}$. Simplify your answer if possible."},{"answer":"$\\frac{1}{2}$","question":"Explain how to solve $\\frac{5}{9} - \\frac{3}{8} + \\frac{7}{12}$ step by step. Justify why your method works for any fractions."}],"difficulty":"extension"}


example_id: lp_01K92QSXVTS7VW1RXARRHQCXP4_01K92QSYHAPKG642TFSA9FZP56_SCAFFOLDED_QUESTION
skills: ["Addition and subtraction of fractions with different denominators"]
skill_ids: ["oNGFLugARhUuMWJZQbC1"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 5
country: US
period_number: 5
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn how to add and subtract fractions with different denominators. Remember to find a common denominator first.","questions":[{"answer":"$5/6$","question":"What is the least common denominator of $1/2$ and $1/3$?"},{"answer":"$2$","question":"Convert $1/2$ and $1/3$ to have a denominator of $6$. What are the equivalent fractions?"},{"answer":"$3$","question":"What is $1/2 + 1/3$? Write your answer as a simplified fraction."}],"difficulty":"enabling"}


example_id: lp_01K92R50F4A27SBDFJDTDYXB5M_01K92R51AG40DSHWJAV29CRG6C_ACTIVITY
skills: ["Understanding that the fraction sign indicates division","Dividing fractions"]
skill_ids: ["YvOjP4VlBBGQGrnQNeAW","avN9feq7XZ3YmoBZDWnh"]
subtopics: ["Understanding Fractions"]
subtopic_ids: ["subtopic_01GTC0BQKQ8VV99AHQJZ6S9AMS"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: Superfoods
class_year: 5
country: US
period_number: 5
node_type: ACTIVITY
example_output_json:
{"header":"Pizza Fraction Split\nYou are splitting pizzas for a party. Each pizza must be divided equally!","scenario":"Steps\n1. Draw two pizzas on paper and label them as Pizza A and Pizza B.\n2. For Pizza A, divide it into $4$ equal slices (quarters).\n3. For Pizza B, divide it into $6$ equal slices (sixths).\n4. Calculate how many slices each person gets if $3$ people share Pizza A and $2$ people share Pizza B.\n5. Compare your answers and explain how fractions represent division.","steps":["Discussion\n• Why does dividing by a fraction give more slices?\n• How does the number of people sharing affect the slice size?","Differentiation Opportunities\n• Support: Use simpler divisions, like cutting into halves or thirds only.\n• Extend: Try dividing pizzas into $8$ or $12$ slices and compare results."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K92R50F4A27SBDFJDTDYXB5M_01K92R51AG40DSHWJAV7ZXB6W5_CONTEMPLATIVE_QUESTION
skills: ["Understanding that the fraction sign indicates division","Dividing fractions"]
skill_ids: ["YvOjP4VlBBGQGrnQNeAW","avN9feq7XZ3YmoBZDWnh"]
subtopics: ["Understanding Fractions"]
subtopic_ids: ["subtopic_01GTC0BQKQ8VV99AHQJZ6S9AMS"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: Superfoods
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"If you have $3$ pies and share them equally among $4$ friends, how would you explain using fractions and division? Could you think of other examples where fractions mean division?","teacherTips":["Encourage students to show $3 \\div 4$ as $\\frac{3}{4}$ on paper.","Discuss other real-life sharing examples (e.g., pizzas, chocolates).","Ask students to explain why fractions represent division."],"difficulty":"mild"}


example_id: lp_01K92R50F4A27SBDFJDTDYXB5M_01K92R51AG40DSHWJAVKRH6QWP_EXIT_TICKET
skills: ["Understanding that the fraction sign indicates division","Dividing fractions"]
skill_ids: ["YvOjP4VlBBGQGrnQNeAW","avN9feq7XZ3YmoBZDWnh"]
subtopics: ["Understanding Fractions"]
subtopic_ids: ["subtopic_01GTC0BQKQ8VV99AHQJZ6S9AMS"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: Superfoods
class_year: 5
country: US
period_number: 5
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$3$","question":"If a superfood smoothie recipe uses $\\frac{6}{2}$ cups of kale, how many cups of kale is that?"},{"answer":"$4$","question":"If each serving of chia pudding uses $\\frac{3}{4}$ cups of almond milk and you have $3$ cups, how many servings can you make?"},{"answer":"$3$","question":"A recipe calls for $\\frac{5}{6}$ cups of goji berries per batch. If you have $2\\frac{1}{2}$ cups, how many batches can you make?"}]}


example_id: lp_01K92R50F4A27SBDFJDTDYXB5M_01K92R51AG40DSHWJATXMJ275T_APPLICATION
skills: ["Understanding that the fraction sign indicates division","Dividing fractions"]
skill_ids: ["YvOjP4VlBBGQGrnQNeAW","avN9feq7XZ3YmoBZDWnh"]
subtopics: ["Understanding Fractions"]
subtopic_ids: ["subtopic_01GTC0BQKQ8VV99AHQJZ6S9AMS"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: Superfoods
class_year: 5
country: US
period_number: 5
node_type: APPLICATION
example_output_json:
{"title":"Fractions in Superfood Recipes","example1Header":"Situation\nNutritionists use fractions to divide and measure superfood portions, ensuring the right balance of nutrients in recipes for health benefits.","example1Body":"Example\nA recipe needs $1/4$ cup chia seeds per serving. With $3$ cups available, dividing $3 \\div 1/4$ gives $3 \\times 4 = 12$ servings, showing the fraction as division.","example2Header":"","example2Body":""}


example_id: lp_01K92R50F4A27SBDFJDTDYXB5M_01K92R51AG40DSHWJAVEF7CCJP_THOUGHT_SPARKER
skills: ["Understanding that the fraction sign indicates division","Dividing fractions"]
skill_ids: ["YvOjP4VlBBGQGrnQNeAW","avN9feq7XZ3YmoBZDWnh"]
subtopics: ["Understanding Fractions"]
subtopic_ids: ["subtopic_01GTC0BQKQ8VV99AHQJZ6S9AMS"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: Superfoods
class_year: 5
country: US
period_number: 5
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"You have $3 \\frac{1}{2}$ cups of chia seeds, and each smoothie you make uses $\\frac{1}{4}$ cup of chia seeds.","firstSentence":"How could you figure out how many smoothies you can make with the chia seeds you have?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to explain what the fraction bar means in this context.","Discuss how dividing by a fraction works and why it finds the number of groups.","Use visual aids like fraction strips or drawings to help students reason through the problem."]}


example_id: lp_01K92RFNK53D5AHEG5QCZJGMFF_01K92RFPN1KPM308X26N7H1M9K_ACTIVITY
skills: ["Multiplying fractions"]
skill_ids: ["UginYd135AAJocFrOoSj"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: Frisbee
class_year: 5
country: US
period_number: 5
node_type: ACTIVITY
example_output_json:
{"header":"Fraction Recipe Mix-Up\nYou’re chefs adjusting recipes for a baking contest. Multiply fractions to get the right amounts!","scenario":"Steps\n1. Write a recipe with 3 fraction measurements (e.g., $\\frac{3}{4}$ cup sugar).\n2. Choose to double or halve one ingredient (e.g., $\\frac{1}{2} \\times \\frac{3}{4}$).\n3. Multiply the fractions to find the new measurement.\n4. Repeat for the other ingredients in your recipe.\n5. Share your adjusted recipe and calculations with the class!","steps":["Discussion\n• What happens when you multiply fractions less than $1$?\n• Why does $\\frac{1}{2} \\times \\frac{3}{4}$ give a smaller result?","Differentiation Opportunities\n• Support: Use only simple fractions like $\\frac{1}{2}$ and $\\frac{1}{4}$.\n• Extend: Adjust recipes by multiplying three fractions together, e.g., $\\frac{1}{2} \\times \\frac{3}{4} \\times \\frac{2}{3}$."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K92RFNK53D5AHEG5QCZJGMFF_01K92RFPN1KPM308X27808HQS0_CONTEMPLATIVE_QUESTION
skills: ["Multiplying fractions"]
skill_ids: ["UginYd135AAJocFrOoSj"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: Frisbee
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"A recipe uses $\\frac{2}{3}$ cup of sugar for one batch of cookies. How much sugar would you need for $\\frac{3}{4}$ of a batch? What about $2\\frac{1}{2}$ batches? How do you know?","teacherTips":["Encourage students to multiply fractions by fractions or mixed numbers.","Ask students to explain their reasoning for each calculation.","Discuss how multiplying fractions applies to real-world scenarios like recipes."],"difficulty":"mild"}


example_id: lp_01K92RFNK53D5AHEG5QCZJGMFF_01K92RFPN1KPM308X27G2TK4WV_EXIT_TICKET
skills: ["Multiplying fractions"]
skill_ids: ["UginYd135AAJocFrOoSj"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: Frisbee
class_year: 5
country: US
period_number: 5
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"\\frac{1}{6}","question":"If a frisbee player drinks $\\frac{1}{2}$ of a bottle of water and then drinks $\\frac{1}{3}$ of that half, how much of the bottle did they drink in total?"},{"answer":"\\frac{1}{2}","question":"A frisbee flies $\\frac{2}{3}$ of the field's length, and a teammate throws it another $\\frac{3}{4}$ of that distance. What fraction of the field's length did it fly in total?"},{"answer":"\\frac{8}{15}","question":"A frisbee player completes $\\frac{4}{5}$ of a drill, and their coach asks them to repeat $\\frac{2}{3}$ of that drill. What fraction of the drill did they repeat?"}]}


example_id: lp_01K92RFNK53D5AHEG5QCZJGMFF_01K92RFPN1KPM308X26J55X72X_APPLICATION
skills: ["Multiplying fractions"]
skill_ids: ["UginYd135AAJocFrOoSj"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: Frisbee
class_year: 5
country: US
period_number: 5
node_type: APPLICATION
example_output_json:
{"title":"Fraction Calculations in Frisbee Throws","example1Header":"Situation\nProfessional frisbee players calculate fractions of distances to plan throws. They need to ensure accuracy for strategic passes during games.","example1Body":"Example\nIf a frisbee is thrown $\\frac{2}{3}$ of a $60$ m field and the teammate is $\\frac{3}{4}$ of that distance away, they are $30$ m from the thrower.","example2Header":"","example2Body":""}


example_id: lp_01K92RFNK53D5AHEG5QCZJGMFF_01K92RFPN1KPM308X27BW3C0ZZ_THOUGHT_SPARKER
skills: ["Multiplying fractions"]
skill_ids: ["UginYd135AAJocFrOoSj"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: Frisbee
class_year: 5
country: US
period_number: 5
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"A Frisbee player practices by throwing the Frisbee toward a target $24$ meters away. Each throw covers $\\frac{2}{3}$ of the remaining distance.","firstSentence":"How could you figure out the total distance the Frisbee travels after $3$ throws?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to visualize the problem using a number line or diagram.","Ask students to explain why multiplying fractions helps calculate the distance for each throw.","Discuss how the remaining distance changes after each throw and why it matters."]}


example_id: lp_01K92R5KAJXW3SXMD5ZC9Q4BY9_01K92R5M1B8CCK9M68NSS4G35P_SCAFFOLDED_QUESTION
skills: ["Dividing fractions","Understanding that the fraction sign indicates division"]
skill_ids: ["avN9feq7XZ3YmoBZDWnh","YvOjP4VlBBGQGrnQNeAW"]
subtopics: ["Understanding Fractions"]
subtopic_ids: ["subtopic_01GTC0BQKQ8VV99AHQJZ6S9AMS"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 5
country: US
period_number: 5
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this activity, you will learn that the fraction bar means division. For example, $\\frac{8}{2}$ can also be written as $8 \\div 2$.","questions":[{"answer":"$3$","question":"What is $\\frac{6}{3}$? Remember, $\\frac{6}{3}$ means $6 \\div 3$."},{"answer":"$2$","question":"What is $\\frac{15}{5}$? Remember, $\\frac{15}{5}$ means $15 \\div 5$."},{"answer":"$3$","question":"What is $\\frac{12}{4}$? Show your answer as a single number."}],"difficulty":"enabling"}


example_id: lp_01K92R5KAJXW3SXMD5ZC9Q4BY9_01K92R5MJJE3K38TGN03WZMN7B_MULTIPLE_CHOICE_QUESTION
skills: ["Dividing fractions","Understanding that the fraction sign indicates division"]
skill_ids: ["avN9feq7XZ3YmoBZDWnh","YvOjP4VlBBGQGrnQNeAW"]
subtopics: ["Understanding Fractions"]
subtopic_ids: ["subtopic_01GTC0BQKQ8VV99AHQJZ6S9AMS"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"Which of the following represents the fraction $\\frac{12}{8}$?","answerOptions":["$12+8$","$12\\times8$","$12\\div8$","$12-8$"],"answer":"$12\\div8$","difficulty":"mild"}


example_id: lp_01K92R5KAJXW3SXMD5ZC9Q4BY9_01K92R5MJJE3K38TGN13TBC1CD_MULTIPLE_CHOICE_QUESTION
skills: ["Dividing fractions","Understanding that the fraction sign indicates division"]
skill_ids: ["avN9feq7XZ3YmoBZDWnh","YvOjP4VlBBGQGrnQNeAW"]
subtopics: ["Understanding Fractions"]
subtopic_ids: ["subtopic_01GTC0BQKQ8VV99AHQJZ6S9AMS"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"Which of the following represents the fraction $\\frac{3}{4}$?","answerOptions":["$3+4$","$3\\div4$","$4\\div3$","$3\\times4$"],"answer":"$3\\div4$","difficulty":"mild"}


example_id: lp_01K92R5KAJXW3SXMD5ZC9Q4BY9_01K92R5MJJE3K38TGN16SW6PY5_CONTEMPLATIVE_QUESTION
skills: ["Dividing fractions","Understanding that the fraction sign indicates division"]
skill_ids: ["avN9feq7XZ3YmoBZDWnh","YvOjP4VlBBGQGrnQNeAW"]
subtopics: ["Understanding Fractions"]
subtopic_ids: ["subtopic_01GTC0BQKQ8VV99AHQJZ6S9AMS"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"You have $\\frac{3}{4}$ of a yard of ribbon. How many pieces each $\\frac{1}{8}$ yard long can you cut? What if each piece was $\\frac{1}{6}$ yard? Explain your reasoning.","teacherTips":["For $\\frac{1}{8}$ pieces: $\\frac{3}{4} \\div \\frac{1}{8} = 6$. For $\\frac{1}{6}$ pieces: $\\frac{3}{4} \\div \\frac{1}{6} = 4.5$."],"difficulty":"spicy"}


example_id: lp_01K92R5KAJXW3SXMD5ZC9Q4BY9_01K92R5M1B8CCK9M68NYDTZ4RJ_SCAFFOLDED_QUESTION
skills: ["Dividing fractions","Understanding that the fraction sign indicates division"]
skill_ids: ["avN9feq7XZ3YmoBZDWnh","YvOjP4VlBBGQGrnQNeAW"]
subtopics: ["Understanding Fractions"]
subtopic_ids: ["subtopic_01GTC0BQKQ8VV99AHQJZ6S9AMS"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 5
country: US
period_number: 5
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore the connection between fractions and division through challenging scenarios.","questions":[{"answer":"Fractions represent division; example: $\\frac{15}{3} = 5$.","question":"What is the value of $\\frac{36}{9}$?"},{"answer":"$4$","question":"If $a = 72$ and $b = 8$, what is the value of $\\frac{a}{b}$?"},{"answer":"$9$","question":"Explain why the fraction $\\frac{p}{q}$ always represents $p \\div q$, and provide an example to support your explanation."}],"difficulty":"extension"}


example_id: lp_01K92R5KAJXW3SXMD5ZC9Q4BY9_01K92R5MJJE3K38TGN08RCT035_CONTEMPLATIVE_QUESTION
skills: ["Dividing fractions","Understanding that the fraction sign indicates division"]
skill_ids: ["avN9feq7XZ3YmoBZDWnh","YvOjP4VlBBGQGrnQNeAW"]
subtopics: ["Understanding Fractions"]
subtopic_ids: ["subtopic_01GTC0BQKQ8VV99AHQJZ6S9AMS"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"A pizza is cut into $8$ slices. How can the fraction $\\frac{8}{4}$ show dividing $8$ slices into $4$ groups? What does each group represent?","teacherTips":["The fraction $\\frac{8}{4}$ shows $8 \\div 4 = 2$. Each group has $2$ slices of pizza."],"difficulty":"mild"}


example_id: lp_01K92R5KAJXW3SXMD5ZC9Q4BY9_01K92R5MJJE3K38TGN0Z6355EY_MULTIPLE_CHOICE_QUESTION
skills: ["Dividing fractions","Understanding that the fraction sign indicates division"]
skill_ids: ["avN9feq7XZ3YmoBZDWnh","YvOjP4VlBBGQGrnQNeAW"]
subtopics: ["Understanding Fractions"]
subtopic_ids: ["subtopic_01GTC0BQKQ8VV99AHQJZ6S9AMS"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"Which of the following represents $\\frac{3}{4} \\div \\frac{1}{2}$?","answerOptions":["$\\frac{3}{4} \\times 2$","$\\frac{3}{4} + \\frac{1}{2}$","$\\frac{3}{4} \\div 2$","$\\frac{3}{4} - \\frac{1}{2}$"],"answer":"$\\frac{3}{4} \\times 2$","difficulty":"mild"}


example_id: lp_01K92R5KAJXW3SXMD5ZC9Q4BY9_01K92RD20N6GNC2JAQGP0AR53S_MULTIPLE_CHOICE_QUESTION
skills: ["Dividing fractions","Understanding that the fraction sign indicates division"]
skill_ids: ["avN9feq7XZ3YmoBZDWnh","YvOjP4VlBBGQGrnQNeAW"]
subtopics: ["Understanding Fractions"]
subtopic_ids: ["subtopic_01GTC0BQKQ8VV99AHQJZ6S9AMS"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"Which of the following represents $\\frac{9}{4}$?","answerOptions":["$9\\times4$","$9\\div4$","$4\\div9$","$4\\times9$"],"answer":"$9\\div4$","difficulty":"mild"}


example_id: lp_01K92R5KAJXW3SXMD5ZC9Q4BY9_01K92RD20N6GNC2JAQGWBTKKDZ_CONTEMPLATIVE_QUESTION
skills: ["Dividing fractions","Understanding that the fraction sign indicates division"]
skill_ids: ["avN9feq7XZ3YmoBZDWnh","YvOjP4VlBBGQGrnQNeAW"]
subtopics: ["Understanding Fractions"]
subtopic_ids: ["subtopic_01GTC0BQKQ8VV99AHQJZ6S9AMS"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"You have $\\frac{3}{4}$ of a pizza left. If you share it equally among $\\frac{1}{3}$ of your friends, how much pizza does each friend get? Can you think of a different way to divide the pizza?","teacherTips":["Dividing by $\\frac{1}{3}$ is the same as multiplying by $3$: $\\frac{3}{4} \\div \\frac{1}{3} = \\frac{3}{4} \\times 3 = \\frac{9}{4}$ or $2\\frac{1}{4}$ pizzas."],"difficulty":"spicy"}


example_id: lp_01K92RGMJPMR5PERE52EJSFJM6_01K92RGP3C366NFFRBTHV5BV5N_MULTIPLE_CHOICE_QUESTION
skills: ["Multiplying fractions"]
skill_ids: ["UginYd135AAJocFrOoSj"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is $\\frac{2}{3} \\times \\frac{3}{4}$?","answerOptions":["$\\frac{1}{4}$","$\\frac{1}{2}$","$\\frac{3}{7}$","$\\frac{1}{2}$"],"answer":"$\\frac{1}{2}$","difficulty":"mild"}


example_id: lp_01K92RGMJPMR5PERE52EJSFJM6_01K92RGP3C366NFFRBV5K61N25_CONTEMPLATIVE_QUESTION
skills: ["Multiplying fractions"]
skill_ids: ["UginYd135AAJocFrOoSj"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"You are designing a rectangular garden. If $\\frac{2}{3}$ of the garden is flowers and $\\frac{3}{4}$ of the flower area is roses, what fraction of the entire garden is roses? Can you show your work and explain?","teacherTips":["$\\frac{2}{3} \\times \\frac{3}{4} = \\frac{6}{12} = \\frac{1}{2}$, so roses cover $\\frac{1}{2}$ of the garden."],"difficulty":"hot"}


example_id: lp_01K92RGMJPMR5PERE52EJSFJM6_01K92RGP3C366NFFRBTZSD72Y0_MULTIPLE_CHOICE_QUESTION
skills: ["Multiplying fractions"]
skill_ids: ["UginYd135AAJocFrOoSj"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is $\\frac{1}{2} \\times \\frac{3}{4}$?","answerOptions":["$\\frac{1}{8}$","$\\frac{3}{8}$","$\\frac{3}{4}$","$\\frac{1}{4}$"],"answer":"$\\frac{3}{8}$","difficulty":"mild"}


example_id: lp_01K92RGMJPMR5PERE52EJSFJM6_01K92RGP3C366NFFRBTMV27TBK_MULTIPLE_CHOICE_QUESTION
skills: ["Multiplying fractions"]
skill_ids: ["UginYd135AAJocFrOoSj"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is $\\frac{1}{2} \\times \\frac{3}{4}$?","answerOptions":["$\\frac{3}{8}$","$\\frac{1}{4}$","$\\frac{2}{4}$","$\\frac{3}{4}$"],"answer":"$\\frac{3}{8}$","difficulty":"mild"}


example_id: lp_01K92RGMJPMR5PERE52EJSFJM6_01K92RGP3C366NFFRBVBNVKKW0_MULTIPLE_CHOICE_QUESTION
skills: ["Multiplying fractions"]
skill_ids: ["UginYd135AAJocFrOoSj"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: spicy
example_output_json:
{"question":"A recipe uses $1 \\frac{3}{4}$ cups of flour for one batch. How many cups of flour are needed for $2 \\frac{1}{2}$ batches?","answerOptions":["$4 \\frac{3}{8}$","$3 \\frac{7}{8}$","$5 \\frac{1}{8}$","$4 \\frac{5}{8}$"],"answer":"$4 \\frac{3}{8}$","difficulty":"spicy"}


example_id: lp_01K92RGMJPMR5PERE52EJSFJM6_01K92RGP3C366NFFRBTTR2Z87K_MULTIPLE_CHOICE_QUESTION
skills: ["Multiplying fractions"]
skill_ids: ["UginYd135AAJocFrOoSj"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is $\\frac{1}{2} \\times \\frac{3}{4}$?","answerOptions":["$\\frac{1}{4}$","$\\frac{3}{8}$","$\\frac{1}{8}$","$\\frac{3}{4}$"],"answer":"$\\frac{3}{8}$","difficulty":"mild"}


example_id: lp_01K92RGMJPMR5PERE52EJSFJM6_01K92RGP3C366NFFRBVD8R3A0K_CONTEMPLATIVE_QUESTION
skills: ["Multiplying fractions"]
skill_ids: ["UginYd135AAJocFrOoSj"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"You have $\\frac{3}{4}$ of a pizza. If each friend eats $\\frac{1}{8}$ of a pizza, how many friends can share it? What if you only had $\\frac{1}{2}$ of a pizza instead? Explain your reasoning.","teacherTips":["Divide fractions: $\\frac{3}{4} \\div \\frac{1}{8} = 6$ friends. For $\\frac{1}{2}$: $\\frac{1}{2} \\div \\frac{1}{8} = 4$ friends."],"difficulty":"spicy"}


