# prompt_examples

example_id: lp_01K92RGMJPMR5PERE52EJSFJM6_01K92RGNNV95BRG9AHV60D5QJ6_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: 5
country: US
period_number: 5
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore advanced applications of multiplying fractions in unique contexts.","questions":[{"answer":"Answers may vary; must include $\\frac{3}{10}$ with reasoning.","question":"What is the product of $\\frac{3}{4}$ and $\\frac{5}{6}$?\nSimplify your answer."},{"answer":"$\\frac{5}{8}$","question":"Multiply $\\frac{2}{3} \\times \\frac{3}{5} \\times \\frac{4}{7}$.\nSimplify your answer."},{"answer":"$\\frac{8}{35}$","question":"A recipe uses $\\frac{3}{4}$ of a cup of sugar.\nIf you want to make $\\frac{2}{5}$ of the recipe, how much sugar will you need?\nExplain your reasoning."}],"difficulty":"extension"}


example_id: lp_01K92RGMJPMR5PERE52EJSFJM6_01K92RGNNV95BRG9AHTZJZ2ZKQ_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: 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 fractions by multiplying the numerators and denominators.","questions":[{"answer":"$\\frac{12}{72}$","question":"What is $\\frac{2}{3} \\times \\frac{1}{4}$?\nMultiply the numerators and the denominators."},{"answer":"$\\frac{2}{12}$","question":"What is $\\frac{3}{5} \\times \\frac{2}{7}$?\nMultiply the numerators and the denominators."},{"answer":"$\\frac{1}{7}$","question":"What is $\\frac{4}{9} \\times \\frac{3}{8}$?\nMultiply the numerators and the denominators."}],"difficulty":"enabling"}


example_id: lp_01K92RN5YGT72FRWK7FM2M6KXA_01K92RN8EN7YWGECJHMKJ2YHHR_ACTIVITY
skills: ["Dividing fractions"]
skill_ids: ["avN9feq7XZ3YmoBZDWnh"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: Athletes
class_year: 5
country: US
period_number: 5
node_type: ACTIVITY
example_output_json:
{"header":"Recipe Fraction Challenge\nYou're chefs scaling recipes for a cooking contest! Adjust ingredient amounts correctly.","scenario":"Steps\n1. Each team writes a recipe with $3$ ingredients (e.g., $\\frac{3}{4}$ cup of sugar).\n2. Pick a scaling factor (e.g., divide the recipe by $2$ or $\\frac{1}{2}$).\n3. Solve to find the new amount for each ingredient by dividing fractions.\n4. Draw a visual representation of one ingredient's new amount on paper.\n5. Compare answers with other teams to check for accuracy and award points!","steps":["Discussion\n• Why do we multiply by the reciprocal when dividing fractions?\n• How does dividing by $\\frac{1}{2}$ change the ingredient amount?","Differentiation Opportunities\n• Support: Use only unit fractions (e.g., $\\frac{1}{2}$, $\\frac{1}{3}$) for scaling.\n• Extend: Challenge teams to scale recipes by $\\frac{3}{4}$ or $\\frac{5}{6}$."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K92RN5YGT72FRWK7FM2M6KXA_01K92RN8EN7YWGECJHN6X1CG9Y_EXIT_TICKET
skills: ["Dividing fractions"]
skill_ids: ["avN9feq7XZ3YmoBZDWnh"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: Athletes
class_year: 5
country: US
period_number: 5
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$\\frac{1}{4}$","question":"An athlete drinks $\\frac{1}{2}$ of a protein shake and shares it equally with a friend. How much does each person get?"},{"answer":"$\\frac{1}{4}$","question":"A runner completes $\\frac{3}{4}$ of a mile and splits it into $3$ equal parts for training. How long is each part?"},{"answer":"$\\frac{5}{4}$","question":"A cyclist rides $\\frac{5}{6}$ of a trail and wants to divide it into $\\frac{2}{3}$-mile sections. How many sections can the trail be divided into?"}]}


example_id: lp_01K92RN5YGT72FRWK7FM2M6KXA_01K92RN8EN7YWGECJHMXD0VK2A_CONTEMPLATIVE_QUESTION
skills: ["Dividing fractions"]
skill_ids: ["avN9feq7XZ3YmoBZDWnh"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: Athletes
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You have $3$ pizzas, and each person gets $\\frac{1}{4}$ of a pizza. How many people can share the pizzas? What if each person gets $\\frac{1}{3}$ instead? Explain how you calculated.","teacherTips":["Encourage students to divide by fractions by thinking 'how many fit in.'","Relate dividing by fractions to real-life sharing scenarios.","Prompt students to explain their reasoning step by step."],"difficulty":"mild"}


example_id: lp_01K92RN5YGT72FRWK7FM2M6KXA_01K92RN8EN7YWGECJHN469KCVN_THOUGHT_SPARKER
skills: ["Dividing fractions"]
skill_ids: ["avN9feq7XZ3YmoBZDWnh"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: Athletes
class_year: 5
country: US
period_number: 5
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"An athlete has $3 \\frac{1}{2}$ liters of a sports drink, and each serving is $\\frac{1}{4}$ liter.","firstSentence":"How could you determine how many servings the athlete can prepare from the sports drink?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to visualize dividing the total quantity into smaller portions using diagrams or models.","Discuss the relationship between division and fractions, emphasizing the meaning of $\\div$ with fractional parts.","Prompt students to explain their reasoning step-by-step, ensuring they understand why dividing fractions works the way it does."]}


example_id: lp_01K92RN5YGT72FRWK7FM2M6KXA_01K92RN8EN7YWGECJHMFQV8JGA_APPLICATION
skills: ["Dividing fractions"]
skill_ids: ["avN9feq7XZ3YmoBZDWnh"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: Athletes
class_year: 5
country: US
period_number: 5
node_type: APPLICATION
example_output_json:
{"title":"Dividing Fractions in Athlete Nutrition","example1Header":"Situation\nNutritionists design meal plans for athletes. They use fractions to divide portions, ensuring the right balance of nutrients for performance.","example1Body":"Example\nA protein bar with $3/4$ of a serving is divided into meals of $1/4$ each. Using $3/4 \\div 1/4 = 3$, the bar serves $3$ meals.","example2Header":"","example2Body":""}


example_id: lp_01K92RNQWEFHNBVT6PP5DJZ4YV_01K92RNRYJKD4N9J46KX7E2HYK_MULTIPLE_CHOICE_QUESTION
skills: ["Dividing fractions"]
skill_ids: ["avN9feq7XZ3YmoBZDWnh"]
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 $\\frac{1}{2} \\div \\frac{1}{4}$?","answerOptions":["$\\frac{1}{8}$","$2$","$\\frac{1}{4}$","$4$"],"answer":"$2$","difficulty":"mild"}


example_id: lp_01K92RNQWEFHNBVT6PP5DJZ4YV_01K92RNRYJKD4N9J46M05E7NFG_MULTIPLE_CHOICE_QUESTION
skills: ["Dividing fractions"]
skill_ids: ["avN9feq7XZ3YmoBZDWnh"]
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 $\\frac{1}{2} \\div \\frac{1}{4}$?","answerOptions":["$\\frac{1}{8}$","$\\frac{1}{2}$","$2$","$4$"],"answer":"$2$","difficulty":"mild"}


example_id: lp_01K92RNQWEFHNBVT6PP5DJZ4YV_01K92RNRYJKD4N9J46M6D82PQN_CONTEMPLATIVE_QUESTION
skills: ["Dividing fractions"]
skill_ids: ["avN9feq7XZ3YmoBZDWnh"]
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: mild
example_output_json:
{"question":"You have $\\frac{3}{4}$ of a pizza, and you want to share it equally among $3$ friends. How much pizza will each friend get? Can you think of another situation where dividing fractions might be useful?","teacherTips":["Each friend gets $\\frac{1}{4}$. Dividing fractions helps in situations like splitting food or resources."],"difficulty":"mild"}


example_id: lp_01K92RNQWEFHNBVT6PP5DJZ4YV_01K92RNRYJKD4N9J46MGHP4XN9_MULTIPLE_CHOICE_QUESTION
skills: ["Dividing fractions"]
skill_ids: ["avN9feq7XZ3YmoBZDWnh"]
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 baker has $3 \\frac{1}{2}$ cups of flour. If each recipe uses $\\frac{2}{3}$ cup of flour, how many full recipes can the baker make?","answerOptions":["$4$","$5$","$6$","$7$"],"answer":"$5$","difficulty":"spicy"}


example_id: lp_01K92RNQWEFHNBVT6PP5DJZ4YV_01K92RNRYJKD4N9J46MB49P8GR_MULTIPLE_CHOICE_QUESTION
skills: ["Dividing fractions"]
skill_ids: ["avN9feq7XZ3YmoBZDWnh"]
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 $\\frac{3}{4} \\div \\frac{2}{5}$?","answerOptions":["$\\frac{15}{8}$","$\\frac{6}{20}$","$\\frac{8}{15}$","$\\frac{5}{6}$"],"answer":"$\\frac{15}{8}$","difficulty":"hot"}


example_id: lp_01K92RNQWEFHNBVT6PP5DJZ4YV_01K92RNRYJKD4N9J46MFRGKNHW_CONTEMPLATIVE_QUESTION
skills: ["Dividing fractions"]
skill_ids: ["avN9feq7XZ3YmoBZDWnh"]
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 $2$ cups of flour. A recipe uses $\\frac{3}{4}$ cup per batch. How many full batches can you make? What could you do with any leftover flour?","teacherTips":["Divide: $2 \\div \\frac{3}{4} = \\frac{8}{3} = 2\\,\\frac{2}{3}$. $2$ full batches and $\\frac{2}{3}$ cup left."],"difficulty":"spicy"}


example_id: lp_01K92RNQWEFHNBVT6PP5DJZ4YV_01K92RNRYJKD4N9J46M4ZXDFZD_MULTIPLE_CHOICE_QUESTION
skills: ["Dividing fractions"]
skill_ids: ["avN9feq7XZ3YmoBZDWnh"]
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 $\\frac{1}{2} \\div \\frac{1}{4}$?","answerOptions":["$1$","$\\frac{1}{8}$","$2$","$4$"],"answer":"$2$","difficulty":"mild"}


example_id: lp_01K92RNQWEFHNBVT6PP5DJZ4YV_01K92RNRH2221Q7N5FDR4R5XZE_SCAFFOLDED_QUESTION
skills: ["Dividing fractions"]
skill_ids: ["avN9feq7XZ3YmoBZDWnh"]
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 divide fractions by flipping the second fraction and multiplying.","questions":[{"answer":"$\\frac{21}{10}$","question":"What is $\\frac{1}{2} \\div \\frac{1}{4}$?\nRemember: Flip the second fraction and multiply."},{"answer":"$\\frac{1}{8}$","question":"What is $\\frac{2}{3} \\div \\frac{1}{6}$?\nFlip the second fraction and multiply."},{"answer":"$\\frac{2}{4}$","question":"What is $\\frac{3}{5} \\div \\frac{2}{7}$?\nRemember to flip the second fraction and multiply."}],"difficulty":"enabling"}


example_id: lp_01K92RNQWEFHNBVT6PP5DJZ4YV_01K92RNRH2221Q7N5FDXBNJNHW_SCAFFOLDED_QUESTION
skills: ["Dividing fractions"]
skill_ids: ["avN9feq7XZ3YmoBZDWnh"]
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 challenging problems involving division of fractions and justify your reasoning.","questions":[{"answer":"Multiplying by the reciprocal reverses division.","question":"What is $\\frac{3}{4} \\div \\frac{5}{8}$?"},{"answer":"$\\frac{6}{5}$","question":"What is $2\\frac{1}{3} \\div \\frac{7}{9}$?"},{"answer":"$3$","question":"Explain why dividing fractions, such as $\\frac{3}{4} \\div \\frac{5}{8}$, is the same as multiplying the first fraction by the reciprocal of the second."}],"difficulty":"extension"}


example_id: lp_01K92RZ8DHVETXA88APFJBCA2Z_01K92RZ998C7YG93M3WGBK7947_APPLICATION
skill_ids: ["pjTiXoDbjQmNtCfL14xK","01JZA2YXSV1JDKRVWRW3WJWM2D","abVZwV1wpk7d3PB0Riyc"]
subtopics: ["Unit Conversion"]
subtopic_ids: ["subtopic_01GTC0BJTWJY27M577SJ14VDQK"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
context: Pottery Making
class_year: 5
country: US
period_number: 5
node_type: APPLICATION
example_output_json:
{"title":"Measuring Tools in Pottery Making","example1Header":"Situation\nPottery makers measure clay slabs and designs precisely. They often convert between units of length to ensure accurate shaping and detailing.","example1Body":"Example\nA potter has a 120 cm clay slab and converts it to meters: $120 \\div 100 = 1.2$ m. This helps them measure accurately for larger pieces.","example2Header":"","example2Body":""}

skills:
["Converting between units of length","Converting between units of capacity","Converting between units of mass"]


example_id: lp_01K92RZ8DHVETXA88APFJBCA2Z_01K92RZ998C7YG93M3WZGDHGMZ_THOUGHT_SPARKER
skill_ids: ["pjTiXoDbjQmNtCfL14xK","01JZA2YXSV1JDKRVWRW3WJWM2D","abVZwV1wpk7d3PB0Riyc"]
subtopics: ["Unit Conversion"]
subtopic_ids: ["subtopic_01GTC0BJTWJY27M577SJ14VDQK"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
context: Pottery Making
class_year: 5
country: US
period_number: 5
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"To make a small pot, you need 1.5 kilograms of clay, 750 milliliters of water, and a 1-meter string to shape the rim.","firstSentence":"How could you determine if you have enough materials if your measurements are in grams, liters, and centimeters?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to identify the unit conversions needed for each material.","Discuss why consistent units are important in real-world tasks.","Use visual aids like conversion charts or manipulatives to support understanding."]}

skills:
["Converting between units of length","Converting between units of capacity","Converting between units of mass"]


example_id: lp_01K92RZ8DHVETXA88APFJBCA2Z_01K92RZ998C7YG93M3WWFMNDKX_CONTEMPLATIVE_QUESTION
skill_ids: ["pjTiXoDbjQmNtCfL14xK","01JZA2YXSV1JDKRVWRW3WJWM2D","abVZwV1wpk7d3PB0Riyc"]
subtopics: ["Unit Conversion"]
subtopic_ids: ["subtopic_01GTC0BJTWJY27M577SJ14VDQK"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
context: Pottery Making
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You’re baking cookies. The recipe needs $1.5$ kg of flour, $2.25$ L of milk, and $750$ g of sugar. How would you convert these to grams, milliliters, or kilograms to make measuring easier? Explain your reasoning.","teacherTips":["Review $1$ kg $= 1\\,000$ g and $1$ L $= 1\\,000$ mL.","Encourage students to choose units that simplify measurement.","Discuss why converting to the same unit helps compare quantities."],"difficulty":"mild"}

skills:
["Converting between units of length","Converting between units of capacity","Converting between units of mass"]


example_id: lp_01K92RZ8DHVETXA88APFJBCA2Z_01K92RZ998C7YG93M3WK86H2Y8_ACTIVITY
skill_ids: ["pjTiXoDbjQmNtCfL14xK","01JZA2YXSV1JDKRVWRW3WJWM2D","abVZwV1wpk7d3PB0Riyc"]
subtopics: ["Unit Conversion"]
subtopic_ids: ["subtopic_01GTC0BJTWJY27M577SJ14VDQK"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
context: Pottery Making
class_year: 5
country: US
period_number: 5
node_type: ACTIVITY
example_output_json:
{"header":"Camping Conversion Challenge\nYour team is packing for a camping trip. Convert units to make sure items fit!","scenario":"Steps\n1. List $5$ camping items with their weights, lengths, or capacities (e.g., $4$ kg tent).\n2. Convert each item's measurement to a different unit (e.g., $4$ kg to $4\\,000$ g).\n3. Add up all converted measurements in the same unit (e.g., all in grams).\n4. Compare totals with other teams to see who packs the lightest or smallest load.\n5. Discuss which items are most efficient for camping.","steps":["Discussion\n• Why is it helpful to convert all measurements into the same unit?\n• How do larger or smaller units make comparisons easier?","Differentiation Opportunities\n• Support: Provide examples of conversions (e.g., $1$ kg $= 1\\,000$ g).\n• Extend: Add extra items and convert between two units for each (e.g., kg to g, then g to mg)."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K92RZ8DHVETXA88APFJBCA2Z_01K92RZ998C7YG93M3X3Q5NXM5_EXIT_TICKET
skill_ids: ["pjTiXoDbjQmNtCfL14xK","01JZA2YXSV1JDKRVWRW3WJWM2D","abVZwV1wpk7d3PB0Riyc"]
subtopics: ["Unit Conversion"]
subtopic_ids: ["subtopic_01GTC0BJTWJY27M577SJ14VDQK"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
context: Pottery Making
class_year: 5
country: US
period_number: 5
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$2\\,500$","question":"A pottery artist uses $2.5$ liters of glaze for a bowl. How many milliliters of glaze does she use?"},{"answer":"$4\\,300$","question":"A bag of clay weighs $4.3$ kilograms. How many grams does it weigh?"},{"answer":"$60$","question":"A ceramic vase is $35$ cm tall, and the potter increases its height by $0.25$ meters. What is the total height in centimeters?"}]}


example_id: lp_01K92S0AS6F0C9Y1SH6P0SX80C_01K92S0CEE13GCSFFZZJECV21J_MULTIPLE_CHOICE_QUESTION
skill_ids: ["abVZwV1wpk7d3PB0Riyc","pjTiXoDbjQmNtCfL14xK","01JZA2YXSV1JDKRVWRW3WJWM2D"]
subtopics: ["Unit Conversion"]
subtopic_ids: ["subtopic_01GTC0BJTWJY27M577SJ14VDQK"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"A bag of flour weighs $2.5$ kilograms. How many grams is this?","answerOptions":["$250$ g","$2\\,500$ g","$25\\,000$ g","$250\\,000$ g"],"answer":"$2\\,500$ g","difficulty":"hot"}

skills:
["Converting between units of mass","Converting between units of length","Converting between units of capacity"]


example_id: lp_01K92S0AS6F0C9Y1SH6P0SX80C_01K92S0CEE13GCSFFZZPCBREA3_MULTIPLE_CHOICE_QUESTION
skill_ids: ["abVZwV1wpk7d3PB0Riyc","pjTiXoDbjQmNtCfL14xK","01JZA2YXSV1JDKRVWRW3WJWM2D"]
subtopics: ["Unit Conversion"]
subtopic_ids: ["subtopic_01GTC0BJTWJY27M577SJ14VDQK"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: spicy
example_output_json:
{"question":"A package weighs $2.5$ kg. How many grams must be added to make it weigh $4\\,000$ g?","answerOptions":["$1\\,000$ g","$1\\,500$ g","$2\\,000$ g","$2\\,500$ g"],"answer":"$1\\,500$ g","difficulty":"spicy"}

skills:
["Converting between units of mass","Converting between units of length","Converting between units of capacity"]


example_id: lp_01K92S0AS6F0C9Y1SH6P0SX80C_01K92S0CEDZ3KHXRZ0TQ64KKZZ_MULTIPLE_CHOICE_QUESTION
skill_ids: ["abVZwV1wpk7d3PB0Riyc","pjTiXoDbjQmNtCfL14xK","01JZA2YXSV1JDKRVWRW3WJWM2D"]
subtopics: ["Unit Conversion"]
subtopic_ids: ["subtopic_01GTC0BJTWJY27M577SJ14VDQK"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"How many centimeters are in 3 meters?","answerOptions":["$30$ cm","$300$ cm","$3$ cm","$3\\,000$ cm"],"answer":"$300$ cm","difficulty":"mild"}

skills:
["Converting between units of mass","Converting between units of length","Converting between units of capacity"]


example_id: lp_01K92S0AS6F0C9Y1SH6P0SX80C_01K92S0CEDZ3KHXRZ0TSX433DS_CONTEMPLATIVE_QUESTION
skill_ids: ["abVZwV1wpk7d3PB0Riyc","pjTiXoDbjQmNtCfL14xK","01JZA2YXSV1JDKRVWRW3WJWM2D"]
subtopics: ["Unit Conversion"]
subtopic_ids: ["subtopic_01GTC0BJTWJY27M577SJ14VDQK"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You are designing a running track. Convert its length of $0.4$ km to meters, then to centimeters. How would you explain your steps to someone else?","teacherTips":["$0.4$ km is $400$ m; $400$ m is $40\\,000$ cm. Multiply by $1\\,000$ or $100$ for each step."],"difficulty":"mild"}


example_id: lp_01K92S0AS6F0C9Y1SH6P0SX80C_01K92S0CEE13GCSFG00FHBP0Y6_CONTEMPLATIVE_QUESTION
skill_ids: ["abVZwV1wpk7d3PB0Riyc","pjTiXoDbjQmNtCfL14xK","01JZA2YXSV1JDKRVWRW3WJWM2D"]
subtopics: ["Unit Conversion"]
subtopic_ids: ["subtopic_01GTC0BJTWJY27M577SJ14VDQK"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"You have a $3$-liter jug of juice and a $250$-milliliter cup. How many full cups can you pour? What if you want to use a $500$-milliliter cup instead? Explain how you calculated both scenarios.","teacherTips":["Convert $3$ liters to $3\\,000$ milliliters. Divide by $250$ for $12$ cups, and $500$ for $6$ cups."],"difficulty":"spicy"}


example_id: lp_01K92S0AS6F0C9Y1SH6P0SX80C_01K92S0CEE13GCSFG00E36D14A_MULTIPLE_CHOICE_QUESTION
skill_ids: ["abVZwV1wpk7d3PB0Riyc","pjTiXoDbjQmNtCfL14xK","01JZA2YXSV1JDKRVWRW3WJWM2D"]
subtopics: ["Unit Conversion"]
subtopic_ids: ["subtopic_01GTC0BJTWJY27M577SJ14VDQK"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"A water tank contains $7.5$ liters of water. How many milliliters of water does the tank hold?","answerOptions":["$7\\,500$ mL","$750$ mL","$75\\,000$ mL","$75$ mL"],"answer":"$7\\,500$ mL","difficulty":"hot"}


example_id: lp_01K92S0AS6F0C9Y1SH6P0SX80C_01K92S0BZ78D06DA9J6XJTFQFY_SCAFFOLDED_QUESTION
skill_ids: ["abVZwV1wpk7d3PB0Riyc","pjTiXoDbjQmNtCfL14xK","01JZA2YXSV1JDKRVWRW3WJWM2D"]
subtopics: ["Unit Conversion"]
subtopic_ids: ["subtopic_01GTC0BJTWJY27M577SJ14VDQK"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 5
country: US
period_number: 5
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn to convert between units of length, mass, and capacity. Remember: $1$ km = $1\\,000$ m, $1$ kg = $1\\,000$ g, and $1$ L = $1\\,000$ mL.","questions":[{"answer":"$3\\,000$","question":"How many meters are there in $2$ kilometers?"},{"answer":"$200$","question":"How many grams are there in $5$ kilograms?"},{"answer":"$2\\,000$","question":"If a bottle holds $3$ liters of water, how many milliliters does it hold?\nRemember that $1$ L = $1\\,000$ mL."}],"difficulty":"enabling"}


example_id: lp_01K92S0AS6F0C9Y1SH6P0SX80C_01K92S0BZ78D06DA9J6YWDKH8V_SCAFFOLDED_QUESTION
skill_ids: ["abVZwV1wpk7d3PB0Riyc","pjTiXoDbjQmNtCfL14xK","01JZA2YXSV1JDKRVWRW3WJWM2D"]
subtopics: ["Unit Conversion"]
subtopic_ids: ["subtopic_01GTC0BJTWJY27M577SJ14VDQK"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 5
country: US
period_number: 5
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Master complex conversions of capacity, mass, and length units through challenging scenarios.","questions":[{"answer":"Explain using volume and conversions.","question":"Convert $12\\,345$ milliliters into liters."},{"answer":"$12.345$ liters","question":"A bag weighs $15.45$ kg. How many grams is this?"},{"answer":"$15\\,450$ grams","question":"A container is $1.2$ m tall and can hold $40$ liters of water.\nExplain how to verify if the container's height is sufficient to hold $50$ liters."}],"difficulty":"extension"}


example_id: lp_01K92S56FF4WJ42076JBMJ608K_01K92S579TCAMP6J6C9N0QPD7J_THOUGHT_SPARKER
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: Table Tennis
class_year: 5
country: US
period_number: 5
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"A table tennis player records their scores over $5$ matches, and the scores are shown on a line graph: $15$, $12$, $18$, $10$, and $20$ points.","firstSentence":"What does the graph tell you about how the player's performance changed over the matches?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to describe the shape of the graph and identify increases or decreases.","Discuss possible reasons for changes in performance based on the trends in the graph.","Guide students to use specific data points from the graph to support their observations."]}


example_id: lp_01K92S56FF4WJ42076JBMJ608K_01K92S579TCAMP6J6C8YXG2V0K_APPLICATION
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: Table Tennis
class_year: 5
country: US
period_number: 5
node_type: APPLICATION
example_output_json:
{"title":"Tracking Player Performance in Table Tennis","example1Header":"Situation\nTable tennis coaches analyze player improvement using line graphs. They track scores over time to spot trends and adjust training strategies.","example1Body":"Example\nA player's scores over 5 matches were 10, 15, 20, 18, and 25. The line graph shows the biggest improvement was 5 points from Match 1 to Match 2 ($15 - 10 = 5$).","example2Header":"","example2Body":""}


example_id: lp_01K92S56FF4WJ42076JBMJ608K_01K92S579TCAMP6J6C95HQA2S4_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: Table Tennis
class_year: 5
country: US
period_number: 5
node_type: ACTIVITY
example_output_json:
{"header":"Weather Trends Tracker\nYour team is tracking daily temperatures to study weather trends in your town.","scenario":"Steps\n1. Create a table with days (Monday-Sunday) and temperatures (e.g., $68^\\circ$F, $70^\\circ$F, etc.).\n2. Plot the data on graph paper, with days on the x-axis and temperature on the y-axis.\n3. Connect the points to form a line graph and label the axes.\n4. Analyze the graph to find trends (e.g., warmest and coolest day).\n5. Compare your findings with another team's graph and discuss patterns.","steps":["Discussion\n• What does the steepest part of the graph tell you about temperature changes?\n• How could the graph look different in another season?","Differentiation Opportunities\n• Support: Provide pre-labeled axes to help students focus on plotting points.\n• Extend: Add another variable, like rainfall, and create a second line on the graph."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K92S56FF4WJ42076JBMJ608K_01K92S579TCAMP6J6C9RHE8D0V_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: Table Tennis
class_year: 5
country: US
period_number: 5
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$7$","question":"A line graph shows the number of table tennis balls used each day: $5$ on Monday, $7$ on Tuesday, and $9$ on Wednesday. How many were used on Tuesday?"},{"answer":"$6$","question":"A line graph shows table tennis practice scores: $4$ on Monday, $6$ on Tuesday, $10$ on Wednesday. What is the total increase from Monday to Wednesday?"},{"answer":"Day $2$","question":"A line graph shows points scored in matches: $3$ on Day $1$, $7$ on Day $2$, $8$ on Day $3$, $6$ on Day $4$. Which day had the biggest increase in points?"}]}


example_id: lp_01K92S56FF4WJ42076JBMJ608K_01K92S579TCAMP6J6C9EZ696RG_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: Table Tennis
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"A line graph shows daily temperatures for a week. What patterns do you notice and how might the temperature change next week?","teacherTips":["Encourage students to describe rises, falls, or steady trends in the graph.","Ask students to think about how weather patterns might repeat or change.","Guide students to justify their predictions using data from the graph."],"difficulty":"mild"}


example_id: lp_01K92SBHGXFY8SR4XYW7Q94RM4_01K92SBJANJRSXJ0PVC7W58XDF_CONTEMPLATIVE_QUESTION
skills: ["Understanding what units of volume represent","Identifying an appropriate unit of volume"]
skill_ids: ["WhwpAuIcYvbHi6V4An0J","ftmWMrqeHNoo5FR0j7Qc"]
subtopics: ["Volume Basics"]
subtopic_ids: ["subtopic_01GTC0BQ2MMCFBNHSKS12AX411"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
context: Water Polo
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"If you had to measure the amount of water in a fish tank, what unit of volume would you use? How would this change if the tank were much smaller, like a cup? Explain your reasoning.","teacherTips":["Help students connect volume units to real-world objects.","Encourage students to think about larger vs smaller containers.","Discuss units like liters, milliliters, and cubic centimeters."],"difficulty":"mild"}


example_id: lp_01K92SBHGXFY8SR4XYW7Q94RM4_01K92SBJANJRSXJ0PVCGJY0E6Z_EXIT_TICKET
skills: ["Understanding what units of volume represent","Identifying an appropriate unit of volume"]
skill_ids: ["WhwpAuIcYvbHi6V4An0J","ftmWMrqeHNoo5FR0j7Qc"]
subtopics: ["Volume Basics"]
subtopic_ids: ["subtopic_01GTC0BQ2MMCFBNHSKS12AX411"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
context: Water Polo
class_year: 5
country: US
period_number: 5
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"The amount of space occupied","question":"A water polo ball displaces $4$ liters of water when fully submerged. What does the $4$ liters represent?"},{"answer":"Cubic meters","question":"The pool used for water polo holds $2\\,500$ cubic meters of water. What is the most appropriate unit to measure this volume?"},{"answer":"Liters","question":"If each water polo ball holds $1.5$ liters of air, is it better to use milliliters or liters to measure this volume?"}]}


example_id: lp_01K92SBHGXFY8SR4XYW7Q94RM4_01K92SBJANJRSXJ0PVBR4ZNGR8_ACTIVITY
skills: ["Understanding what units of volume represent","Identifying an appropriate unit of volume"]
skill_ids: ["WhwpAuIcYvbHi6V4An0J","ftmWMrqeHNoo5FR0j7Qc"]
subtopics: ["Volume Basics"]
subtopic_ids: ["subtopic_01GTC0BQ2MMCFBNHSKS12AX411"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
context: Water Polo
class_year: 5
country: US
period_number: 5
node_type: ACTIVITY
example_output_json:
{"header":"Volume Match Challenge\nYour team is helping a chef organize containers by matching each to its correct volume unit.","scenario":"Steps\n1. List five containers (e.g., water bottle, milk jug) on paper.\n2. Discuss and write the most suitable unit for each container (mL, L).\n3. Compare your choices with another team’s list.\n4. Teams race to correctly match all containers to volume units.\n5. The team with the most correct matches wins!","steps":["Discussion\n• Why is a liter used for larger volumes?\n• When would milliliters be more appropriate?","Differentiation Opportunities\n• Support: Focus on just three containers and only milliliters as a unit.\n• Extend: Estimate the exact volume of each container in mL or L."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K92SBHGXFY8SR4XYW7Q94RM4_01K92SBJANJRSXJ0PVCC2TVFSP_THOUGHT_SPARKER
skills: ["Understanding what units of volume represent","Identifying an appropriate unit of volume"]
skill_ids: ["WhwpAuIcYvbHi6V4An0J","ftmWMrqeHNoo5FR0j7Qc"]
subtopics: ["Volume Basics"]
subtopic_ids: ["subtopic_01GTC0BQ2MMCFBNHSKS12AX411"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
context: Water Polo
class_year: 5
country: US
period_number: 5
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"A water polo pool contains $2\\,500$ litres of water, and during practice, each player uses about $750$ millilitres of water to stay hydrated.","firstSentence":"Why might it be better to use litres instead of millilitres to describe the total amount of water in the pool?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Discuss the difference between litres and millilitres, emphasizing their size and typical uses.","Encourage students to think about how large numbers might affect readability and understanding.","Use real-world examples, like water bottles or swimming pools, to illustrate when each unit is commonly used."]}


example_id: lp_01K92SBHGXFY8SR4XYW7Q94RM4_01K92SBJANJRSXJ0PVBKD579CF_APPLICATION
skills: ["Understanding what units of volume represent","Identifying an appropriate unit of volume"]
skill_ids: ["WhwpAuIcYvbHi6V4An0J","ftmWMrqeHNoo5FR0j7Qc"]
subtopics: ["Volume Basics"]
subtopic_ids: ["subtopic_01GTC0BQ2MMCFBNHSKS12AX411"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
context: Water Polo
class_year: 5
country: US
period_number: 5
node_type: APPLICATION
example_output_json:
{"title":"Volume in Water Polo Pool Design","example1Header":"Situation\nWater polo pool designers calculate the pool's volume to ensure it holds enough water for games. Accurate volume measurements ensure players can swim and play properly.","example1Body":"Example\nA water polo pool is $25$ m long, $20$ m wide, and $2$ m deep. Its volume is $25 \\times 20 \\times 2 = 1,000$ m$^3$, ensuring enough water for games.","example2Header":"","example2Body":""}


example_id: lp_01K92S5WCADKNE7BX1CVGRJGY0_01K92S5X49JFKCKD91H29ZTDVW_SCAFFOLDED_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
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 interpret line graphs by analyzing the relationship between data points.","questions":[{"answer":"The value is decreasing","question":"If a point on a line graph shows $3$ hours and $15$ miles, what does this mean?"},{"answer":"The distance is $3$ miles after $15$ hours","question":"If the line on a graph goes up steadily, what does this mean?"},{"answer":"The distance is $15$ miles after $3$ hours","question":"If a graph shows a line going down from $10$ to $5$, what does this tell you about the value over time?"}],"difficulty":"enabling"}


example_id: lp_01K92S5WCADKNE7BX1CVGRJGY0_01K92S5XKBZSVM8TY65JDQPERZ_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
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"A graph shows water usage over $7$ days. How would you explain patterns or trends in water usage? What might cause changes in the graph?","teacherTips":["Identify trends like spikes or drops. Relate changes to events like weather, holidays, or activities."],"difficulty":"spicy"}


example_id: lp_01K92S5WCADKNE7BX1CVGRJGY0_01K92S5XKBZSVM8TY669B0PD7R_MULTIPLE_CHOICE_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
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"A line graph shows the temperature rising by $5^\\circ$F each hour. If the starting temperature is $60^\\circ$F, what is the temperature after $3$ hours?","answerOptions":["$65^\\circ$F","$75^\\circ$F","$70^\\circ$F","$80^\\circ$F"],"answer":"$75^\\circ$F","difficulty":"mild"}


example_id: lp_01K92S5WCADKNE7BX1CVGRJGY0_01K92S5X49JFKCKD91H6HGXTS3_SCAFFOLDED_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
class_year: 5
country: US
period_number: 5
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Analyze temperature changes over a week to interpret trends and understand patterns.","questions":[{"answer":"Week 1 has a higher average temperature.","question":"The temperature on Monday was $68^\\circ$F and increased by $4^\\circ$F each day until Friday.\nWhat was the temperature on Friday?"},{"answer":"$84^\\circ$F","question":"The temperature on Monday was $68^\\circ$F, increasing by $4^\\circ$F daily until Wednesday.\nIt then decreased by $3^\\circ$F each day.\nWhat was the temperature on Friday?"},{"answer":"$70^\\circ$F","question":"Compare a week where the temperature increases steadily by $4^\\circ$F daily to one where it increases by $4^\\circ$F for three days and decreases by $3^\\circ$F after.\nWhich week results in a higher average temperature?\nExplain your reasoning."}],"difficulty":"extension"}


example_id: lp_01K92S5WCADKNE7BX1CVGRJGY0_01K92S5XKBZSVM8TY65F7PWPF0_MULTIPLE_CHOICE_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
class_year: 5
country: US
period_number: 5
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 $4$ hours. What is the total increase in temperature?","answerOptions":["$15^\\circ$F","$20^\\circ$F","$25^\\circ$F","$30^\\circ$F"],"answer":"$20^\\circ$F","difficulty":"mild"}


example_id: lp_01K92S5WCADKNE7BX1CVGRJGY0_01K92S5XKBZSVM8TY66BQRMXYH_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
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"A line graph shows the temperature over 7 days. How could you use the graph to decide the best day for a picnic? Explain your reasoning.","teacherTips":["Analyze where temperature is mildest and most stable. Justify with data like specific days and values."],"difficulty":"hot"}


example_id: lp_01K92S5WCADKNE7BX1CVGRJGY0_01K92S5XKBZSVM8TY6653TBBFV_MULTIPLE_CHOICE_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
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"A line graph shows the temperature rising by $5^\\circ$F every hour for $4$ hours. If it starts at $50^\\circ$F, what is the temperature after $4$ hours?","answerOptions":["$60^\\circ$F","$65^\\circ$F","$70^\\circ$F","$75^\\circ$F"],"answer":"$70^\\circ$F","difficulty":"mild"}


example_id: lp_01K92SC809H1RY28MDCC0BN9T0_01K92SC96QET9CWBEVBAHC0F8P_CONTEMPLATIVE_QUESTION
skills: ["Identifying an appropriate unit of volume","Understanding what units of volume represent"]
skill_ids: ["ftmWMrqeHNoo5FR0j7Qc","WhwpAuIcYvbHi6V4An0J"]
subtopics: ["Volume Basics"]
subtopic_ids: ["subtopic_01GTC0BQ2MMCFBNHSKS12AX411"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"How would you decide the best unit to measure the volume of a swimming pool, a water bottle, and a drop of water? Explain your choices and why they are appropriate.","teacherTips":["Use cubic meters for the pool, liters for the bottle, and milliliters for the drop due to size differences."],"difficulty":"spicy"}


example_id: lp_01K92SC809H1RY28MDCC0BN9T0_01K92SC96QET9CWBEVB64Q6D65_MULTIPLE_CHOICE_QUESTION
skills: ["Identifying an appropriate unit of volume","Understanding what units of volume represent"]
skill_ids: ["ftmWMrqeHNoo5FR0j7Qc","WhwpAuIcYvbHi6V4An0J"]
subtopics: ["Volume Basics"]
subtopic_ids: ["subtopic_01GTC0BQ2MMCFBNHSKS12AX411"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"Which unit would be most appropriate to measure the volume of water in a swimming pool?","answerOptions":["Cubic centimeters","Liters","Milliliters","Cubic meters"],"answer":"Cubic meters","difficulty":"hot"}


example_id: lp_01K92SC809H1RY28MDCC0BN9T0_01K92SC96QET9CWBEVB56BYP09_MULTIPLE_CHOICE_QUESTION
skills: ["Identifying an appropriate unit of volume","Understanding what units of volume represent"]
skill_ids: ["ftmWMrqeHNoo5FR0j7Qc","WhwpAuIcYvbHi6V4An0J"]
subtopics: ["Volume Basics"]
subtopic_ids: ["subtopic_01GTC0BQ2MMCFBNHSKS12AX411"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"Which unit is most suitable for measuring the volume of a swimming pool?","answerOptions":["liters","milliliters","cubic meters","cubic centimeters"],"answer":"cubic meters","difficulty":"mild"}


example_id: lp_01K92SC809H1RY28MDCC0BN9T0_01K92SC96QET9CWBEVA8GZMFFG_CONTEMPLATIVE_QUESTION
skills: ["Identifying an appropriate unit of volume","Understanding what units of volume represent"]
skill_ids: ["ftmWMrqeHNoo5FR0j7Qc","WhwpAuIcYvbHi6V4An0J"]
subtopics: ["Volume Basics"]
subtopic_ids: ["subtopic_01GTC0BQ2MMCFBNHSKS12AX411"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You are filling a pool. How would you explain why gallons are better than cups to measure its volume?","teacherTips":["Gallons are better because pools hold a large volume, and gallons prevent using very large numbers."],"difficulty":"mild"}


example_id: lp_01K92SC809H1RY28MDCC0BN9T0_01K92SC96QET9CWBEVAEA6AZ0B_MULTIPLE_CHOICE_QUESTION
skills: ["Identifying an appropriate unit of volume","Understanding what units of volume represent"]
skill_ids: ["ftmWMrqeHNoo5FR0j7Qc","WhwpAuIcYvbHi6V4An0J"]
subtopics: ["Volume Basics"]
subtopic_ids: ["subtopic_01GTC0BQ2MMCFBNHSKS12AX411"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"Which of the following best explains what the volume of an object represents?","answerOptions":["The amount of weight an object has","The amount of space an object takes up","The height of an object","The mass of an object"],"answer":"The amount of space an object takes up","difficulty":"hot"}


example_id: lp_01K92SC809H1RY28MDCC0BN9T0_01K92SC8QBV8QAP8QF5X84V685_SCAFFOLDED_QUESTION
skills: ["Identifying an appropriate unit of volume","Understanding what units of volume represent"]
skill_ids: ["ftmWMrqeHNoo5FR0j7Qc","WhwpAuIcYvbHi6V4An0J"]
subtopics: ["Volume Basics"]
subtopic_ids: ["subtopic_01GTC0BQ2MMCFBNHSKS12AX411"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 5
country: US
period_number: 5
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore advanced concepts of volume and identify appropriate units for various scenarios.","questions":[{"answer":"Cubic centimeters provide greater precision for small objects.","question":"If a container can hold exactly $1$ liter of liquid, how many milliliters of liquid does it hold?"},{"answer":"$1\\,000$ milliliters","question":"What is the most appropriate unit of volume to measure the liquid inside a swimming pool: milliliters, liters, or cubic meters?"},{"answer":"Cubic meters","question":"Explain why cubic centimeters are a better unit than liters for measuring the volume of a small jewelry box.\nConsider the scale and precision required."}],"difficulty":"extension"}


example_id: lp_01K92SC809H1RY28MDCC0BN9T0_01K92SC8QBV8QAP8QF5V83RB4C_SCAFFOLDED_QUESTION
skills: ["Identifying an appropriate unit of volume","Understanding what units of volume represent"]
skill_ids: ["ftmWMrqeHNoo5FR0j7Qc","WhwpAuIcYvbHi6V4An0J"]
subtopics: ["Volume Basics"]
subtopic_ids: ["subtopic_01GTC0BQ2MMCFBNHSKS12AX411"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 5
country: US
period_number: 5
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn about units of volume and how they are used to measure the amount of space something takes up.","questions":[{"answer":"Milliliters (mL)","question":"What do units of volume, like cubic centimeters (cm$^3$), measure?"},{"answer":"The amount of space something takes up","question":"Which unit is best for measuring the volume of a swimming pool?"},{"answer":"The weight of an object","question":"What is the most appropriate unit of volume to measure a bottle of water? Explain why."}],"difficulty":"enabling"}


example_id: lp_01K92SH9ZJ1M8WKEQ0B47V5JGX_01K92SHAZZ3YKR5P41QZT3HNWT_THOUGHT_SPARKER
skills: ["Finding volume using unit cubes"]
skill_ids: ["5m72J4bQk6S8txTDHnlZ"]
subtopics: ["Volume Basics"]
subtopic_ids: ["subtopic_01GTC0BQ2MMCFBNHSKS12AX411"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
context: The Olympics
class_year: 5
country: US
period_number: 5
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"For the Olympics, a stadium has a seating block built using cubes. The block is $10$ cubes long, $8$ cubes wide, and $5$ cubes high.","firstSentence":"How could you determine the total number of cubes used to build the seating block?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to visualize the block and consider each layer of cubes.","Discuss how to multiply dimensions to find the total volume.","Use physical manipulatives or drawings to help students conceptualize the layers of cubes."]}


example_id: lp_01K92SH9ZJ1M8WKEQ0B47V5JGX_01K92SHAZZ3YKR5P41QEVVXP40_APPLICATION
skills: ["Finding volume using unit cubes"]
skill_ids: ["5m72J4bQk6S8txTDHnlZ"]
subtopics: ["Volume Basics"]
subtopic_ids: ["subtopic_01GTC0BQ2MMCFBNHSKS12AX411"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
context: The Olympics
class_year: 5
country: US
period_number: 5
node_type: APPLICATION
example_output_json:
{"title":"Measuring Volume in Olympic Pools","example1Header":"Situation\nOlympic pool designers calculate the volume of pools to ensure they hold enough water for competitions. They use unit cubes to measure the total space the pool occupies.","example1Body":"Example\nAn Olympic pool is $10$ m long, $5$ m wide, and $2$ m deep. Designers find its volume: $10 \\times 5 \\times 2 = 100$ m$^3$, meaning it holds $100$ m$^3$ of water.","example2Header":"","example2Body":""}


example_id: lp_01K92SH9ZJ1M8WKEQ0B47V5JGX_01K92SHAZZ3YKR5P41QXJZBZ05_CONTEMPLATIVE_QUESTION
skills: ["Finding volume using unit cubes"]
skill_ids: ["5m72J4bQk6S8txTDHnlZ"]
subtopics: ["Volume Basics"]
subtopic_ids: ["subtopic_01GTC0BQ2MMCFBNHSKS12AX411"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
context: The Olympics
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You are designing a box with unit cubes. What could its dimensions be if the volume is $24$? List all possibilities and explain how you found them.","teacherTips":["Encourage students to explore all factor combinations of $24$.","Ask students to explain how length, width, and height relate to volume.","Discuss how unit cubes help visualize and calculate volume."],"difficulty":"mild"}


example_id: lp_01K92SH9ZJ1M8WKEQ0B47V5JGX_01K92SHAZZ3YKR5P41R6QDG8E6_EXIT_TICKET
skills: ["Finding volume using unit cubes"]
skill_ids: ["5m72J4bQk6S8txTDHnlZ"]
subtopics: ["Volume Basics"]
subtopic_ids: ["subtopic_01GTC0BQ2MMCFBNHSKS12AX411"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
context: The Olympics
class_year: 5
country: US
period_number: 5
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$24$","question":"An Olympic gold medal box is made of $4$ layers with $6$ cubes in each layer. What is the volume of the box in cubic units?"},{"answer":"$60$","question":"A swimming pool model for the Olympics is built using $3$ layers of cubes, with each layer containing $5 \\times 4$ cubes. What is the volume in cubic units?"},{"answer":"$100$","question":"A gymnastics stage is built with $5$ layers, each with $8 \\times 3$ cubes. A $20$-cube space is removed. What is the remaining volume in cubic units?"}]}


example_id: lp_01K92SH9ZJ1M8WKEQ0B47V5JGX_01K92SHAZZ3YKR5P41QJDJYVWE_ACTIVITY
skills: ["Finding volume using unit cubes"]
skill_ids: ["5m72J4bQk6S8txTDHnlZ"]
subtopics: ["Volume Basics"]
subtopic_ids: ["subtopic_01GTC0BQ2MMCFBNHSKS12AX411"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
context: The Olympics
class_year: 5
country: US
period_number: 5
node_type: ACTIVITY
example_output_json:
{"header":"Cube Volume Challenge\nYour team is designing buildings using unit cubes. Calculate their volumes!","scenario":"Steps\n1. Use paper to draw $3$ building designs (e.g., $2 \\times 3 \\times 4$ cubes).\n2. Build your designs using imaginary unit cubes (sketch each layer).\n3. Count the cubes in each design to find the total volume.\n4. Compare the volumes and decide which building is the largest.\n5. Present your designs and explain how you calculated the volumes.","steps":["Discussion\n• How does adding more layers affect the volume?\n• What happens to the volume if one dimension doubles?","Differentiation Opportunities\n• Support: Work with smaller designs, like $2 \\times 2 \\times 2$ cubes.\n• Extend: Create irregular shapes and calculate their volume."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K92SHYF5JRQ612Z3CP06FTAV_01K92SHZQ63KSEF4WD8BP8W44V_MULTIPLE_CHOICE_QUESTION
skills: ["Finding volume using unit cubes"]
skill_ids: ["5m72J4bQk6S8txTDHnlZ"]
subtopics: ["Volume Basics"]
subtopic_ids: ["subtopic_01GTC0BQ2MMCFBNHSKS12AX411"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"A box is filled with $24$ unit cubes. If it has $3$ layers and each layer has $8$ cubes, what is the volume of the box?","answerOptions":["$12$ cubic units","$24$ cubic units","$36$ cubic units","$48$ cubic units"],"answer":"$24$ cubic units","difficulty":"mild"}


example_id: lp_01K92SHYF5JRQ612Z3CP06FTAV_01K92SHZQ63KSEF4WD8KNMCAZ1_MULTIPLE_CHOICE_QUESTION
skills: ["Finding volume using unit cubes"]
skill_ids: ["5m72J4bQk6S8txTDHnlZ"]
subtopics: ["Volume Basics"]
subtopic_ids: ["subtopic_01GTC0BQ2MMCFBNHSKS12AX411"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"A rectangular box is built using unit cubes. It is $3$ cubes long, $4$ cubes wide, and $5$ cubes high. What is the volume of the box?","answerOptions":["$60$ cubic units","$20$ cubic units","$12$ cubic units","$35$ cubic units"],"answer":"$60$ cubic units","difficulty":"hot"}


example_id: lp_01K92SHYF5JRQ612Z3CP06FTAV_01K92SHZQ63KSEF4WD8F2H7KDX_MULTIPLE_CHOICE_QUESTION
skills: ["Finding volume using unit cubes"]
skill_ids: ["5m72J4bQk6S8txTDHnlZ"]
subtopics: ["Volume Basics"]
subtopic_ids: ["subtopic_01GTC0BQ2MMCFBNHSKS12AX411"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"A box is made of $3$ layers of unit cubes, each layer containing $4$ cubes. What is the volume of the box?","answerOptions":["$7$ cubic units","$12$ cubic units","$15$ cubic units","$24$ cubic units"],"answer":"$12$ cubic units","difficulty":"mild"}


example_id: lp_01K92SHYF5JRQ612Z3CP06FTAV_01K92SHZQ63KSEF4WD8SRM2PS5_CONTEMPLATIVE_QUESTION
skills: ["Finding volume using unit cubes"]
skill_ids: ["5m72J4bQk6S8txTDHnlZ"]
subtopics: ["Volume Basics"]
subtopic_ids: ["subtopic_01GTC0BQ2MMCFBNHSKS12AX411"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"You need to build a box with a volume of $36$ cubic units using unit cubes. What could the dimensions of your box be? How many different ways can you arrange the cubes to make this volume?","teacherTips":["Possible dimensions: $3 \\times 3 \\times 4$, $6 \\times 2 \\times 3$, etc. Volume: $36$ cubic units."],"difficulty":"hot"}


example_id: lp_01K92SHYF5JRQ612Z3CP06FTAV_01K92SHZQ63KSEF4WD8VHY1ET9_MULTIPLE_CHOICE_QUESTION
skills: ["Finding volume using unit cubes"]
skill_ids: ["5m72J4bQk6S8txTDHnlZ"]
subtopics: ["Volume Basics"]
subtopic_ids: ["subtopic_01GTC0BQ2MMCFBNHSKS12AX411"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: spicy
example_output_json:
{"question":"A box is made up of $1$-cm cubes. It has a length of $6$ cm, a width of $4$ cm, and a height of $5$ cm. How many unit cubes make up the box?","answerOptions":["$120$","$240$","$30$","$150$"],"answer":"$120$","difficulty":"spicy"}


example_id: lp_01K92SHYF5JRQ612Z3CP06FTAV_01K92SHZQ63KSEF4WD910NZPZB_CONTEMPLATIVE_QUESTION
skills: ["Finding volume using unit cubes"]
skill_ids: ["5m72J4bQk6S8txTDHnlZ"]
subtopics: ["Volume Basics"]
subtopic_ids: ["subtopic_01GTC0BQ2MMCFBNHSKS12AX411"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"You have $27$ unit cubes to build a rectangular prism. How many different prisms can you make? Explain how their volumes stay the same but their shapes differ.","teacherTips":["Volume is $27$ as $1 \\times 1 \\times 27$, $1 \\times 3 \\times 9$, and $3 \\times 3 \\times 3$. All use $27$ cubes."],"difficulty":"spicy"}


example_id: lp_01K92SHYF5JRQ612Z3CP06FTAV_01K92SHZ9VJE7GQF6ZEQWZF1N2_SCAFFOLDED_QUESTION
skills: ["Finding volume using unit cubes"]
skill_ids: ["5m72J4bQk6S8txTDHnlZ"]
subtopics: ["Volume Basics"]
subtopic_ids: ["subtopic_01GTC0BQ2MMCFBNHSKS12AX411"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 5
country: US
period_number: 5
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn to find the volume of a shape using unit cubes. Volume is the amount of space a shape takes up.","questions":[{"answer":"$30$","question":"If a shape is made of $3$ rows, each with $4$ unit cubes, what is the total number of cubes?"},{"answer":"$7$","question":"A box has a length of $3$, a width of $2$, and a height of $4$. What is its volume in unit cubes?"},{"answer":"$10$","question":"If a rectangular prism has a length of $5$, a width of $3$, and a height of $2$, what is its volume in unit cubes?"}],"difficulty":"enabling"}


example_id: lp_01K92SHYF5JRQ612Z3CP06FTAV_01K92SHZ9VJE7GQF6ZEXKFBXDP_SCAFFOLDED_QUESTION
skills: ["Finding volume using unit cubes"]
skill_ids: ["5m72J4bQk6S8txTDHnlZ"]
subtopics: ["Volume Basics"]
subtopic_ids: ["subtopic_01GTC0BQ2MMCFBNHSKS12AX411"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 5
country: US
period_number: 5
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore challenging scenarios to calculate the volume of objects using unit cubes.","questions":[{"answer":"Varied; must justify no overlap and correct addition.","question":"A rectangular prism is made up of unit cubes.\nIt has dimensions $5$ units by $3$ units by $4$ units.\nWhat is its volume?"},{"answer":"$60$ cubic units","question":"A rectangular prism with dimensions $6$ units by $5$ units by $4$ units has a $2$-unit by $2$-unit by $4$-unit section removed.\nWhat is its remaining volume?"},{"answer":"$104$ cubic units","question":"Design a shape using two rectangular prisms made of unit cubes.\nExplain how you calculate the total volume, ensuring no overlap between prisms."}],"difficulty":"extension"}


example_id: lp_01K92SPCJVVY7WJNFGK6C6DRN7_01K92SPDFXBRX39492VH85VCPZ_THOUGHT_SPARKER
skills: ["Solving for volume using $V=Ah$"]
skill_ids: ["PAGdRpS75rtjcjOLRc0q"]
subtopics: ["Volume Calculations"]
subtopic_ids: ["subtopic_01GTC0BN454C6F0WJKJA8Q64MQ"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
context: 3D Printing
class_year: 5
country: US
period_number: 5
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"A 3D printer is creating a rectangular prism-shaped block with a base area of $50$ cm$^2$ and a height of $12$ cm.","firstSentence":"How could you determine the volume of this block using the given values?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Discuss the formula $V = Ah$ and break down what each part represents.","Encourage students to visualize the prism as layers of the base stacked up to the given height.","Ask students to share different strategies for organizing their calculations, such as using multiplication or repeated addition."]}


example_id: lp_01K92SPCJVVY7WJNFGK6C6DRN7_01K92SPDFXBRX39492V10TY3ZD_APPLICATION
skills: ["Solving for volume using $V=Ah$"]
skill_ids: ["PAGdRpS75rtjcjOLRc0q"]
subtopics: ["Volume Calculations"]
subtopic_ids: ["subtopic_01GTC0BN454C6F0WJKJA8Q64MQ"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
context: 3D Printing
class_year: 5
country: US
period_number: 5
node_type: APPLICATION
example_output_json:
{"title":"Designing Solid Structures in 3D Printing","example1Header":"Situation\n3D printing designers calculate the volume of objects before printing. This helps ensure enough material is used to create solid, stable designs.","example1Body":"Example\nA 3D-printed box has a base area of $6$ cm$^2$ and height of $10$ cm. Designers calculate volume as $V = A h = 6 \\cdot 10 = 60$ cm$^3$, ensuring enough material is prepared.","example2Header":"","example2Body":""}


example_id: lp_01K92SPCJVVY7WJNFGK6C6DRN7_01K92SPDFXBRX39492V33YG2HA_ACTIVITY
skills: ["Solving for volume using $V=Ah$"]
skill_ids: ["PAGdRpS75rtjcjOLRc0q"]
subtopics: ["Volume Calculations"]
subtopic_ids: ["subtopic_01GTC0BN454C6F0WJKJA8Q64MQ"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
context: 3D Printing
class_year: 5
country: US
period_number: 5
node_type: ACTIVITY
example_output_json:
{"header":"Volume Challenge\nYour team is designing containers for shipping. Find which shape can hold the most!","scenario":"Steps\n1. Draw a rectangle with sides $6$ cm and $4$ cm for the base.\n2. Draw a circle with radius $5$ cm for another base.\n3. Calculate the base areas: rectangle $A=6\\times4$, circle $A=\\pi r^2$.\n4. Pick a height of $10$ cm for both, then find the volume $V=Ah$.\n5. Compare volumes to decide which container holds more!","steps":["Discussion\n• Why does the base area affect the total volume?\n• What happens if we double the height of both shapes?","Differentiation Opportunities\n• Support: Use simpler dimensions like $4$ cm by $4$ cm for the rectangle and $r=2$ cm for the circle.\n• Extend: Add a triangular base (base $6$ cm, height $4$ cm) and calculate its volume too."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K92SPCJVVY7WJNFGK6C6DRN7_01K92SPDFXBRX39492VGAM3CMN_CONTEMPLATIVE_QUESTION
skills: ["Solving for volume using $V=Ah$"]
skill_ids: ["PAGdRpS75rtjcjOLRc0q"]
subtopics: ["Volume Calculations"]
subtopic_ids: ["subtopic_01GTC0BN454C6F0WJKJA8Q64MQ"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
context: 3D Printing
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"A box has a base area of $15$ cm$^2$. What could be its height if the volume is $75$ cm$^3$? Explore!","teacherTips":["Guide students to use $V = A \\cdot h$ to solve for $h$.","Encourage students to check their calculations.","Discuss how volume relates to base area and height."],"difficulty":"mild"}


example_id: lp_01K92SPCJVVY7WJNFGK6C6DRN7_01K92SPDFXBRX39492VND4D49N_EXIT_TICKET
skills: ["Solving for volume using $V=Ah$"]
skill_ids: ["PAGdRpS75rtjcjOLRc0q"]
subtopics: ["Volume Calculations"]
subtopic_ids: ["subtopic_01GTC0BN454C6F0WJKJA8Q64MQ"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
context: 3D Printing
class_year: 5
country: US
period_number: 5
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$100$","question":"A 3D printer creates a rectangular block with a base area of $20$ cm$^2$ and a height of $5$ cm. What is its volume?"},{"answer":"$500$","question":"A 3D printer produces a cylinder with a base area of $50$ cm$^2$ and a height of $10$ cm. What is the cylinder's volume?"},{"answer":"$240$","question":"A 3D printer makes a triangular prism with a base area of $30$ cm$^2$ and a height of $8$ cm. What is its volume?"}]}


example_id: lp_01K92SPXEYC8SS31THEBWKHW76_01K92SPZMWCXGTEKXCZ3C1Q3FD_MULTIPLE_CHOICE_QUESTION
skills: ["Solving for volume using $V=Ah$"]
skill_ids: ["PAGdRpS75rtjcjOLRc0q"]
subtopics: ["Volume Calculations"]
subtopic_ids: ["subtopic_01GTC0BN454C6F0WJKJA8Q64MQ"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"A box has a base area of $15$ cm$^2$ and a height of $4$ cm. What is the volume of the box?","answerOptions":["$45$ cm$^3$","$50$ cm$^3$","$60$ cm$^3$","$75$ cm$^3$"],"answer":"$60$ cm$^3$","difficulty":"mild"}


example_id: lp_01K92SPXEYC8SS31THEBWKHW76_01K92SPZMWCXGTEKXCZ7CPYE0W_MULTIPLE_CHOICE_QUESTION
skills: ["Solving for volume using $V=Ah$"]
skill_ids: ["PAGdRpS75rtjcjOLRc0q"]
subtopics: ["Volume Calculations"]
subtopic_ids: ["subtopic_01GTC0BN454C6F0WJKJA8Q64MQ"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"A rectangular prism has a base area of $10$ cm$^2$ and a height of $5$ cm. What is its volume?","answerOptions":["$15$ cm$^3$","$25$ cm$^3$","$50$ cm$^3$","$100$ cm$^3$"],"answer":"$50$ cm$^3$","difficulty":"mild"}


example_id: lp_01K92SPXEYC8SS31THEBWKHW76_01K92SPZMWCXGTEKXCZ9VGNR66_MULTIPLE_CHOICE_QUESTION
skills: ["Solving for volume using $V=Ah$"]
skill_ids: ["PAGdRpS75rtjcjOLRc0q"]
subtopics: ["Volume Calculations"]
subtopic_ids: ["subtopic_01GTC0BN454C6F0WJKJA8Q64MQ"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"A cylinder has a base area of $12$ cm$^2$ and a height of $5$ cm. What is its volume?","answerOptions":["$17$ cm$^3$","$60$ cm$^3$","$40$ cm$^3$","$70$ cm$^3$"],"answer":"$60$ cm$^3$","difficulty":"hot"}


example_id: lp_01K92SPXEYC8SS31THEBWKHW76_01K92SPZMWCXGTEKXCZ1W74CVM_CONTEMPLATIVE_QUESTION
skills: ["Solving for volume using $V=Ah$"]
skill_ids: ["PAGdRpS75rtjcjOLRc0q"]
subtopics: ["Volume Calculations"]
subtopic_ids: ["subtopic_01GTC0BN454C6F0WJKJA8Q64MQ"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You are designing a box for storing books. Choose a base area and a height. How would you calculate the volume of your box using $V = A h$? What dimensions would you pick to hold the most books?","teacherTips":["Multiply the base area $A$ by the height $h$ to find the volume $V$, as $V = A h$."],"difficulty":"mild"}


example_id: lp_01K92SPXEYC8SS31THEBWKHW76_01K92SPZMWCXGTEKXCYWPXN4QA_CONTEMPLATIVE_QUESTION
skills: ["Solving for volume using $V=Ah$"]
skill_ids: ["PAGdRpS75rtjcjOLRc0q"]
subtopics: ["Volume Calculations"]
subtopic_ids: ["subtopic_01GTC0BN454C6F0WJKJA8Q64MQ"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You are designing a box with a base area of $15$ cm$^2$. What could the height be if the volume is $45$ cm$^3$? Can you find other base areas and heights that would give the same volume?","teacherTips":["If $V = 45$ cm$^3$ and $A = 15$ cm$^2$, then $h = 3$ cm. Other combinations can also work."],"difficulty":"mild"}


example_id: lp_01K92SPXEYC8SS31THEBWKHW76_01K92SPZ18SMEDA0VK8YPYZPH5_SCAFFOLDED_QUESTION
skills: ["Solving for volume using $V=Ah$"]
skill_ids: ["PAGdRpS75rtjcjOLRc0q"]
subtopics: ["Volume Calculations"]
subtopic_ids: ["subtopic_01GTC0BN454C6F0WJKJA8Q64MQ"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 5
country: US
period_number: 5
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore the concept of volume using $V = A h$ for three-dimensional objects.","questions":[{"answer":"Works for all bases; depends on correct $A$ calculation.","question":"A rectangular prism has a base area of $20$ cm$^2$ and a height of $8$ cm. What is its volume?"},{"answer":"$160$ cm$^3$","question":"A composite shape consists of two rectangular prisms. The first has a base area of $15$ cm$^2$ and a height of $6$ cm. The second has a base area of $10$ cm$^2$ and a height of $9$ cm. What is the total volume?"},{"answer":"$180$ cm$^3$","question":"Explain why the formula $V = A h$ works for a cylinder with a circular base. Does the specific shape of the base affect the validity of the formula? Justify your answer."}],"difficulty":"extension"}


example_id: lp_01K92SPXEYC8SS31THEBWKHW76_01K92SPZ18SMEDA0VK8WEBYSW1_SCAFFOLDED_QUESTION
skills: ["Solving for volume using $V=Ah$"]
skill_ids: ["PAGdRpS75rtjcjOLRc0q"]
subtopics: ["Volume Calculations"]
subtopic_ids: ["subtopic_01GTC0BN454C6F0WJKJA8Q64MQ"]
topic: Measurement and Data
topic_id: 29ebac64-21fc-4fc0-b874-d487d2657969
class_year: 5
country: US
period_number: 5
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn to calculate the volume of a rectangular prism using the formula $V = A \\times h$, where $A$ is the base area.","questions":[{"answer":"$48$ cm$^3$","question":"If the base area $A = 5$ cm$^2$ and the height $h = 2$ cm, what is the volume $V$?\nUse $V = A \\times h$."},{"answer":"$10$ cm$^3$","question":"If the base area $A = 8$ cm$^2$ and the height $h = 3$ cm, what is the volume $V$?\nUse $V = A \\times h$."},{"answer":"$7$ cm$^3$","question":"If the base area $A = 12$ cm$^2$ and the height $h = 4$ cm, what is the volume $V$?\nUse $V = A \\times h$."}],"difficulty":"enabling"}


example_id: lp_01K92SVZ0V1S3ZBT7BJC6A9TFR_01K92SVZZBR3VT2HPNKGZ2CR88_EXIT_TICKET
skills: ["Identifying key features of the Cartesian plane"]
skill_ids: ["0YJRtnQEhdtxyacJPudq"]
subtopics: ["Cartesian Planes"]
subtopic_ids: ["subtopic_01GTC0BDFJHVP71F71XBNHXA29"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
context: Golf
class_year: 5
country: US
period_number: 5
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"Origin","question":"On a golf course, the clubhouse is at $(0, 0)$ on a Cartesian plane. What is the name of this point?"},{"answer":"Quadrant IV","question":"If a golf ball lands at $(3, -4)$, in which quadrant of the Cartesian plane is it located?"},{"answer":"$-7, -5$","question":"A golf cart moves from $(5, 2)$ to $(-2, -3)$. What is the change in the $x$-coordinate and $y$-coordinate?"}]}


example_id: lp_01K92SVZ0V1S3ZBT7BJC6A9TFR_01K92SVZZBR3VT2HPNK36BN31F_ACTIVITY
skills: ["Identifying key features of the Cartesian plane"]
skill_ids: ["0YJRtnQEhdtxyacJPudq"]
subtopics: ["Cartesian Planes"]
subtopic_ids: ["subtopic_01GTC0BDFJHVP71F71XBNHXA29"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
context: Golf
class_year: 5
country: US
period_number: 5
node_type: ACTIVITY
example_output_json:
{"header":"Coordinate Plane Quest\nYour team is exploring a map on a coordinate plane to find key locations.","scenario":"Steps\n1. Draw a Cartesian plane with $x$-axis and $y$-axis labeled from $-5$ to $5$.\n2. Mark the origin $(0, 0)$ and label Quadrants I, II, III, and IV.\n3. Each team plots $5$ points (e.g., $(3, 2)$, $(-4, -1)$) on their grid.\n4. Exchange grids and identify the quadrant of each point on the new grid.\n5. Earn $1$ point for each correct quadrant identified!","steps":["Discussion\n• Why does Quadrant I have positive $x$ and $y$ values?\n• What happens if a point lies on the $x$-axis or $y$-axis?","Differentiation Opportunities\n• Support: Use only points in Quadrants I and II for simpler practice.\n• Extend: Include points with fractions, like $(2.5, -3.5)$."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K92SVZ0V1S3ZBT7BJC6A9TFR_01K92SVZZBR3VT2HPNKDERBYJX_CONTEMPLATIVE_QUESTION
skills: ["Identifying key features of the Cartesian plane"]
skill_ids: ["0YJRtnQEhdtxyacJPudq"]
subtopics: ["Cartesian Planes"]
subtopic_ids: ["subtopic_01GTC0BDFJHVP71F71XBNHXA29"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
context: Golf
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"Imagine a treasure map on a Cartesian plane. Plot a treasure at $(3, 5)$ and a trap at $(-4, -2)$. How would you describe their locations using the $x$-axis and $y$-axis?","teacherTips":["Guide students to identify positive and negative coordinates.","Encourage describing positions relative to the origin $(0, 0)$.","Discuss how the axes divide the plane into four quadrants."],"difficulty":"mild"}


example_id: lp_01K92SVZ0V1S3ZBT7BJC6A9TFR_01K92SVZZBR3VT2HPNJYYZA7JW_APPLICATION
skills: ["Identifying key features of the Cartesian plane"]
skill_ids: ["0YJRtnQEhdtxyacJPudq"]
subtopics: ["Cartesian Planes"]
subtopic_ids: ["subtopic_01GTC0BDFJHVP71F71XBNHXA29"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
context: Golf
class_year: 5
country: US
period_number: 5
node_type: APPLICATION
example_output_json:
{"title":"Navigating a Golf Course Map","example1Header":"Situation\nGolf course designers use a Cartesian plane to map the course. Each hole, tree, or sand trap is a point on this grid to guide players.","example1Body":"Example\nOn the golf map, the hole is at $(4, 6)$ and the sand trap is at $(4, 3)$. Since $x = 4$, they align vertically. The distance is $6 - 3 = 3$ units.","example2Header":"","example2Body":""}


example_id: lp_01K92SVZ0V1S3ZBT7BJC6A9TFR_01K92SVZZBR3VT2HPNKFV53B14_THOUGHT_SPARKER
skills: ["Identifying key features of the Cartesian plane"]
skill_ids: ["0YJRtnQEhdtxyacJPudq"]
subtopics: ["Cartesian Planes"]
subtopic_ids: ["subtopic_01GTC0BDFJHVP71F71XBNHXA29"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
context: Golf
class_year: 5
country: US
period_number: 5
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"On a golf course, a player hits the ball, and it lands at the point $(4, -3)$ on a coordinate grid representing the course.","firstSentence":"Which quadrant of the Cartesian plane does the ball land in, and how do you know?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Review the definitions and positions of the four quadrants on the Cartesian plane.","Encourage students to focus on the signs of the $x$ and $y$ coordinates to determine the quadrant.","Use a visual representation of the coordinate grid to help students see where $(4, -3)$ is located."]}


example_id: lp_01K92SWEAY3TFC6RSMC7A73AH1_01K92SWFD2N62GWZ1WNJ2YB8G9_CONTEMPLATIVE_QUESTION
skills: ["Identifying key features of the Cartesian plane"]
skill_ids: ["0YJRtnQEhdtxyacJPudq"]
subtopics: ["Cartesian Planes"]
subtopic_ids: ["subtopic_01GTC0BDFJHVP71F71XBNHXA29"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"Imagine a treasure is hidden at a point on a Cartesian plane. Choose any point, describe its coordinates, and explain how you would find it starting from the origin $(0, 0)$. How does the $x$-axis and $y$-axis help you?","teacherTips":["The $x$-axis shows horizontal movement; the $y$-axis shows vertical. Start at $(0, 0)$ and follow $(x, y)$."],"difficulty":"mild"}


example_id: lp_01K92SWEAY3TFC6RSMC7A73AH1_01K92SWFD2N62GWZ1WNCEQYW6Y_MULTIPLE_CHOICE_QUESTION
skills: ["Identifying key features of the Cartesian plane"]
skill_ids: ["0YJRtnQEhdtxyacJPudq"]
subtopics: ["Cartesian Planes"]
subtopic_ids: ["subtopic_01GTC0BDFJHVP71F71XBNHXA29"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is the name of the horizontal axis on the Cartesian plane?","answerOptions":["$x$-axis","$y$-axis","Origin","Quadrant"],"answer":"$x$-axis","difficulty":"mild"}


example_id: lp_01K92SWEAY3TFC6RSMC7A73AH1_01K92SWFD2N62GWZ1WNTHFYRZ1_CONTEMPLATIVE_QUESTION
skills: ["Identifying key features of the Cartesian plane"]
skill_ids: ["0YJRtnQEhdtxyacJPudq"]
subtopics: ["Cartesian Planes"]
subtopic_ids: ["subtopic_01GTC0BDFJHVP71F71XBNHXA29"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"How would you design a map on a Cartesian plane labeling key features like axes, origin, and quadrants? What could each quadrant represent?","teacherTips":["Axes divide the plane into $4$ quadrants. The origin, $(0, 0)$, is where $x$ and $y$ axes intersect."],"difficulty":"hot"}


example_id: lp_01K92SWEAY3TFC6RSMC7A73AH1_01K92SWFD2N62GWZ1WNMN74R0G_MULTIPLE_CHOICE_QUESTION
skills: ["Identifying key features of the Cartesian plane"]
skill_ids: ["0YJRtnQEhdtxyacJPudq"]
subtopics: ["Cartesian Planes"]
subtopic_ids: ["subtopic_01GTC0BDFJHVP71F71XBNHXA29"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"Which axis on the Cartesian plane is horizontal?","answerOptions":["$x$-axis","$y$-axis","vertical axis","diagonal axis"],"answer":"$x$-axis","difficulty":"hot"}


example_id: lp_01K92SWEAY3TFC6RSMC7A73AH1_01K92SWEZVVWA8N9GWTQ8SZ4T5_SCAFFOLDED_QUESTION
skills: ["Identifying key features of the Cartesian plane"]
skill_ids: ["0YJRtnQEhdtxyacJPudq"]
subtopics: ["Cartesian Planes"]
subtopic_ids: ["subtopic_01GTC0BDFJHVP71F71XBNHXA29"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
class_year: 5
country: US
period_number: 5
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore the Cartesian plane by identifying points, quadrants, and distances.","questions":[{"answer":"Explain using signs for quadrants and distance formula.","question":"If a point is located at $(-3, 4)$, in which quadrant does it lie?"},{"answer":"Second quadrant","question":"What is the distance of the point $(3, 4)$ from the origin $(0, 0)$?"},{"answer":"$5$","question":"Explain how you can determine both the quadrant and the distance from the origin for any given point $(x, y)$ on the Cartesian plane."}],"difficulty":"extension"}


example_id: lp_01K92SWEAY3TFC6RSMC7A73AH1_01K92SWEZVVWA8N9GWTK6QH549_SCAFFOLDED_QUESTION
skills: ["Identifying key features of the Cartesian plane"]
skill_ids: ["0YJRtnQEhdtxyacJPudq"]
subtopics: ["Cartesian Planes"]
subtopic_ids: ["subtopic_01GTC0BDFJHVP71F71XBNHXA29"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
class_year: 5
country: US
period_number: 5
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn about the Cartesian plane, including the $x$-axis, $y$-axis, and the origin $(0, 0)$.","questions":[{"answer":"$(0, 0)$","question":"What is the $x$-axis on the Cartesian plane?\nRemember, it is one of the two lines that divide the plane."},{"answer":"The horizontal axis","question":"What is the $y$-axis on the Cartesian plane?\nHint: It is the other axis that divides the plane."},{"answer":"The vertical axis","question":"What is the origin on the Cartesian plane?\nDescribe its location using coordinates."}],"difficulty":"enabling"}


example_id: lp_01K92T19Z2TB3Y6VY7RCBAMFKZ_01K92T1AWNX1VRTA7HZX035GMK_THOUGHT_SPARKER
skills: ["Plotting coordinates on the Cartesian plane"]
skill_ids: ["l3MssecBv4tbskDrGkWs"]
subtopics: ["Cartesian Planes"]
subtopic_ids: ["subtopic_01GTC0BDFJHVP71F71XBNHXA29"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
context: Smart Cities
class_year: 5
country: US
period_number: 5
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"In a smart city, the school is located at $(3, 4)$, the hospital at $(7, 2)$, and the park at $(5, 6)$ on a coordinate grid.","firstSentence":"How can you use these coordinates to visualize the layout of the city?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Ask students to explain how the coordinates determine the position of each facility.","Encourage students to sketch the points on graph paper and describe the relationships between locations.","Discuss how coordinate grids are used in real-world applications like city planning and navigation."]}


example_id: lp_01K92T19Z2TB3Y6VY7RCBAMFKZ_01K92T1AWNX1VRTA7HZ59B7HS4_APPLICATION
skills: ["Plotting coordinates on the Cartesian plane"]
skill_ids: ["l3MssecBv4tbskDrGkWs"]
subtopics: ["Cartesian Planes"]
subtopic_ids: ["subtopic_01GTC0BDFJHVP71F71XBNHXA29"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
context: Smart Cities
class_year: 5
country: US
period_number: 5
node_type: APPLICATION
example_output_json:
{"title":"Mapping Traffic Sensors in Smart Cities","example1Header":"Situation\nUrban planners in smart cities place traffic sensors on roads to monitor vehicle flow. They use grids and coordinates to determine exact locations for these sensors.","example1Body":"Example\nTraffic sensors are positioned using coordinates. A sensor at (3, 2) is 3 steps right and 2 steps up from (0, 0). Another at (-4, -1) is 4 steps left and 1 step down, ensuring proper coverage.","example2Header":"","example2Body":""}


example_id: lp_01K92T19Z2TB3Y6VY7RCBAMFKZ_01K92T1AWNX1VRTA7HZZWMJJSE_EXIT_TICKET
skills: ["Plotting coordinates on the Cartesian plane"]
skill_ids: ["l3MssecBv4tbskDrGkWs"]
subtopics: ["Cartesian Planes"]
subtopic_ids: ["subtopic_01GTC0BDFJHVP71F71XBNHXA29"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
context: Smart Cities
class_year: 5
country: US
period_number: 5
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$(3, 4)$","question":"Plot a point at $(3, 4)$ on the Cartesian plane to represent a smart city's park location."},{"answer":"$3$","question":"A smart city places sensors at $(2, 3)$ and $(5, 3)$. How far apart are the sensors?"},{"answer":"$3, 4$","question":"A smart city drone flies from $(1, 2)$ to $(4, 6)$. What is the vertical and horizontal distance it travels?"}]}


example_id: lp_01K92T19Z2TB3Y6VY7RCBAMFKZ_01K92T1AWNX1VRTA7HZNXZFV70_CONTEMPLATIVE_QUESTION
skills: ["Plotting coordinates on the Cartesian plane"]
skill_ids: ["l3MssecBv4tbskDrGkWs"]
subtopics: ["Cartesian Planes"]
subtopic_ids: ["subtopic_01GTC0BDFJHVP71F71XBNHXA29"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
context: Smart Cities
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"Design a garden using 5 points on a Cartesian plane. Label each point and explain why you placed it there.","teacherTips":["Ensure students label points with coordinates like $(x, y)$.","Encourage creative layouts, like rows or shapes.","Ask students to explain their placement choices clearly."],"difficulty":"mild"}


example_id: lp_01K92T19Z2TB3Y6VY7RCBAMFKZ_01K92T1AWNX1VRTA7HZ8BNHSMW_ACTIVITY
skills: ["Plotting coordinates on the Cartesian plane"]
skill_ids: ["l3MssecBv4tbskDrGkWs"]
subtopics: ["Cartesian Planes"]
subtopic_ids: ["subtopic_01GTC0BDFJHVP71F71XBNHXA29"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
context: Smart Cities
class_year: 5
country: US
period_number: 5
node_type: ACTIVITY
example_output_json:
{"header":"Space Rescue Mission\nAstronauts are lost in space! Plot their locations to guide the rescue ship.","scenario":"Steps\n1. Draw an $x$-axis and $y$-axis on paper from $-10$ to $10$.\n2. Write down $5$ coordinates (e.g., $(3,5)$, $(-4,-2)$) for lost astronauts.\n3. In pairs, take turns plotting the points on each other's grids.\n4. Connect the points in order to form a rescue path.\n5. Verify if the path reaches all astronauts and discuss any mistakes.","steps":["Discussion\n• How does the order of the coordinates affect the rescue path?\n• Why is it important to label the axes and points correctly?","Differentiation Opportunities\n• Support: Use only positive coordinates (e.g., $(2,3)$) for easier plotting.\n• Extend: Add $5$ more points and create a more complex rescue path."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K92T1YFSMM8F11Y82TNMRG1C_01K92T1ZJMG6324YY3NBWSRDR5_CONTEMPLATIVE_QUESTION
skills: ["Plotting coordinates on the Cartesian plane"]
skill_ids: ["l3MssecBv4tbskDrGkWs"]
subtopics: ["Cartesian Planes"]
subtopic_ids: ["subtopic_01GTC0BDFJHVP71F71XBNHXA29"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"Design a shape on the Cartesian plane using at least 6 points. How would you describe its size, position, and connections?","teacherTips":["Use coordinates to plot points. Connect them to form a shape and describe position and size precisely."],"difficulty":"spicy"}


example_id: lp_01K92T1YFSMM8F11Y82TNMRG1C_01K92T1ZJMG6324YY3N3X6T5RF_MULTIPLE_CHOICE_QUESTION
skills: ["Plotting coordinates on the Cartesian plane"]
skill_ids: ["l3MssecBv4tbskDrGkWs"]
subtopics: ["Cartesian Planes"]
subtopic_ids: ["subtopic_01GTC0BDFJHVP71F71XBNHXA29"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"Which point is located at $(3, 4)$ on the Cartesian plane?","answerOptions":["$3$ units up and $4$ units right","$4$ units up and $3$ units right","$3$ units right and $4$ units up","$4$ units right and $3$ units up"],"answer":"$3$ units right and $4$ units up","difficulty":"mild"}


example_id: lp_01K92T1YFSMM8F11Y82TNMRG1C_01K92T1ZJMG6324YY3N0A4SGQW_MULTIPLE_CHOICE_QUESTION
skills: ["Plotting coordinates on the Cartesian plane"]
skill_ids: ["l3MssecBv4tbskDrGkWs"]
subtopics: ["Cartesian Planes"]
subtopic_ids: ["subtopic_01GTC0BDFJHVP71F71XBNHXA29"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"Which point is located at $(3, 5)$ on the Cartesian plane?","answerOptions":["$3$ steps up and $5$ steps right","$5$ steps up and $3$ steps left","$3$ steps right and $5$ steps up","$5$ steps right and $3$ steps up"],"answer":"$3$ steps right and $5$ steps up","difficulty":"mild"}


example_id: lp_01K92T1YFSMM8F11Y82TNMRG1C_01K92T1ZJMG6324YY3NABCPZSG_CONTEMPLATIVE_QUESTION
skills: ["Plotting coordinates on the Cartesian plane"]
skill_ids: ["l3MssecBv4tbskDrGkWs"]
subtopics: ["Cartesian Planes"]
subtopic_ids: ["subtopic_01GTC0BDFJHVP71F71XBNHXA29"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"Create a map of your dream park on the Cartesian plane. Plot at least $5$ points for features like slides, trees, or benches. Explain how you decided where to place each feature.","teacherTips":["Features are placed by assigning coordinates. Example: $(3, 4)$ for a tree and $(7, 2)$ for a slide."],"difficulty":"mild"}


example_id: lp_01K92T1YFSMM8F11Y82TNMRG1C_01K92T1Z5JZ0T09Z960FYT1MVA_SCAFFOLDED_QUESTION
skills: ["Plotting coordinates on the Cartesian plane"]
skill_ids: ["l3MssecBv4tbskDrGkWs"]
subtopics: ["Cartesian Planes"]
subtopic_ids: ["subtopic_01GTC0BDFJHVP71F71XBNHXA29"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
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 plot points on the Cartesian plane. A point is written as $(x, y)$, where $x$ is the horizontal position and $y$ is the vertical position.","questions":[{"answer":"$(3, 6)$","question":"For the point $(4, 3)$, what is the $x$-coordinate?\nRemember: the $x$-coordinate comes first in $(x, y)$."},{"answer":"$3$","question":"For the point $(2, 5)$, what is the $y$-coordinate?\nRemember: the $y$-coordinate comes second in $(x, y)$."},{"answer":"$4$","question":"What are the coordinates of a point that is $3$ steps to the right and $6$ steps up from the origin?"}],"difficulty":"enabling"}


example_id: lp_01K92T1YFSMM8F11Y82TNMRG1C_01K92T1Z5JZ0T09Z960HAAZJER_SCAFFOLDED_QUESTION
skills: ["Plotting coordinates on the Cartesian plane"]
skill_ids: ["l3MssecBv4tbskDrGkWs"]
subtopics: ["Cartesian Planes"]
subtopic_ids: ["subtopic_01GTC0BDFJHVP71F71XBNHXA29"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
class_year: 5
country: US
period_number: 5
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore complex relationships by plotting points and analyzing patterns on the Cartesian plane.","questions":[{"answer":"Consistent slope proves collinearity.","question":"Plot the point that satisfies the rule $x + y = 8$ and lies in the second quadrant."},{"answer":"$(-3, 11)$","question":"Plot three points where $x$ and $y$ satisfy $y = 2x + 3$, and all points are in the first quadrant."},{"answer":"$(1, 5), (2, 7), (3, 9)$","question":"A line passes through the points $(0, -1)$, $(2, 3)$, and $(4, 7)$. Explain how to verify all points lie on the same line."}],"difficulty":"extension"}


example_id: lp_01K92T6W31GZ8E67PYPW345JKZ_01K92T6WZ0FPGXFPQJ4Q614MGC_ACTIVITY
skills: ["Understanding what a quadrilateral represents","Understanding what a parallelogram represents"]
skill_ids: ["e4WyJmpzFIWTTyK3WiK1","uTrYCyP5KwJaSQ0l0dcV"]
subtopics: ["Classifying Complex Shapes"]
subtopic_ids: ["subtopic_01H25W4524VG1MTRS2C6Z3HAMT"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
context: Flowers
class_year: 5
country: US
period_number: 5
node_type: ACTIVITY
example_output_json:
{"header":"Quadrilateral Challenge\nHelp an artist organize shapes into quadrilaterals and parallelograms!","scenario":"Steps\n1. Draw $10$ different quadrilaterals on paper (e.g., rectangles, trapezoids).\n2. Write down the properties of each shape (e.g., sides, angles).\n3. Sort shapes into two groups: parallelograms and other quadrilaterals.\n4. Discuss why each shape fits in its group and check with your team.\n5. The team with the most accurate sorting wins!","steps":["Discussion\n• What makes a parallelogram different from other quadrilaterals?\n• Can a parallelogram ever be a square? Why or why not?","Differentiation Opportunities\n• Support: Focus on shapes like rectangles and squares to simplify classification.\n• Extend: Include irregular quadrilaterals and justify their groupings with detailed properties."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K92T6W31GZ8E67PYPW345JKZ_01K92T6WZ0FPGXFPQJ5DC4SJP7_EXIT_TICKET
skills: ["Understanding what a quadrilateral represents","Understanding what a parallelogram represents"]
skill_ids: ["e4WyJmpzFIWTTyK3WiK1","uTrYCyP5KwJaSQ0l0dcV"]
subtopics: ["Classifying Complex Shapes"]
subtopic_ids: ["subtopic_01H25W4524VG1MTRS2C6Z3HAMT"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
context: Flowers
class_year: 5
country: US
period_number: 5
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$4$","question":"A flower bed is shaped like a quadrilateral with four straight edges. How many sides does a quadrilateral have?"},{"answer":"Opposite sides are equal: $5$ m and $3$ m","question":"A parallelogram-shaped flower garden has opposite sides that are $5$ m and $3$ m long. What can you say about the opposite sides?"},{"answer":"$120^\\circ$","question":"If a flower garden is shaped like a parallelogram with one angle $60^\\circ$, what is the measure of its adjacent angle?"}]}


example_id: lp_01K92T6W31GZ8E67PYPW345JKZ_01K92T6WZ0FPGXFPQJ54RWDGEH_CONTEMPLATIVE_QUESTION
skills: ["Understanding what a quadrilateral represents","Understanding what a parallelogram represents"]
skill_ids: ["e4WyJmpzFIWTTyK3WiK1","uTrYCyP5KwJaSQ0l0dcV"]
subtopics: ["Classifying Complex Shapes"]
subtopic_ids: ["subtopic_01H25W4524VG1MTRS2C6Z3HAMT"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
context: Flowers
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You have a shape with 4 sides. How would you decide if it is a quadrilateral or a parallelogram? Explain.","teacherTips":["Discuss that all quadrilaterals have 4 sides, but parallelograms have opposite sides parallel.","Encourage students to check for parallel sides to identify parallelograms.","Use real-world examples like windows or tiles to illustrate shapes."],"difficulty":"mild"}


example_id: lp_01K92T6W31GZ8E67PYPW345JKZ_01K92T6WZ0FPGXFPQJ58J55BHB_THOUGHT_SPARKER
skills: ["Understanding what a quadrilateral represents","Understanding what a parallelogram represents"]
skill_ids: ["e4WyJmpzFIWTTyK3WiK1","uTrYCyP5KwJaSQ0l0dcV"]
subtopics: ["Classifying Complex Shapes"]
subtopic_ids: ["subtopic_01H25W4524VG1MTRS2C6Z3HAMT"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
context: Flowers
class_year: 5
country: US
period_number: 5
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"In a garden, one flower bed is shaped like a rectangle with opposite sides of $6$ feet and $4$ feet, and another is shaped like a rhombus with all sides $5$ feet but no right angles.","firstSentence":"How can you explain whether both shapes are parallelograms or not?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Review the definitions of quadrilaterals and parallelograms before starting the discussion.","Encourage students to think about the properties of sides and angles in each shape.","Use visual aids like drawings or physical models to help students compare the shapes more effectively."]}


example_id: lp_01K92T6W31GZ8E67PYPW345JKZ_01K92T6WZ0FPGXFPQJ4GME5S5P_APPLICATION
skills: ["Understanding what a quadrilateral represents","Understanding what a parallelogram represents"]
skill_ids: ["e4WyJmpzFIWTTyK3WiK1","uTrYCyP5KwJaSQ0l0dcV"]
subtopics: ["Classifying Complex Shapes"]
subtopic_ids: ["subtopic_01H25W4524VG1MTRS2C6Z3HAMT"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
context: Flowers
class_year: 5
country: US
period_number: 5
node_type: APPLICATION
example_output_json:
{"title":"Classifying Flower Bed Shapes in Gardening","example1Header":"Situation\nGardeners design flower beds in various shapes. Identifying quadrilaterals ensures neat layouts with proper plant spacing.","example1Body":"Example\nA flower bed with $4$ straight sides is checked. Counting shows $4$ sides. Since all sides are straight, the shape qualifies as a quadrilateral.","example2Header":"","example2Body":""}


example_id: lp_01K92T7J7EKK0SFC4X1MB0B5Q3_01K92T7KP18GJ0NGBZFYD52FN7_MULTIPLE_CHOICE_QUESTION
skills: ["Understanding what a quadrilateral represents","Understanding what a parallelogram represents"]
skill_ids: ["e4WyJmpzFIWTTyK3WiK1","uTrYCyP5KwJaSQ0l0dcV"]
subtopics: ["Classifying Complex Shapes"]
subtopic_ids: ["subtopic_01H25W4524VG1MTRS2C6Z3HAMT"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"Which of the following shapes is always a quadrilateral?","answerOptions":["Square","Triangle","Pentagon","Hexagon"],"answer":"Square","difficulty":"hot"}


example_id: lp_01K92T7J7EKK0SFC4X1MB0B5Q3_01K92T7KP18GJ0NGBZG2VB77QF_CONTEMPLATIVE_QUESTION
skills: ["Understanding what a quadrilateral represents","Understanding what a parallelogram represents"]
skill_ids: ["e4WyJmpzFIWTTyK3WiK1","uTrYCyP5KwJaSQ0l0dcV"]
subtopics: ["Classifying Complex Shapes"]
subtopic_ids: ["subtopic_01H25W4524VG1MTRS2C6Z3HAMT"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"Design a park with paths shaped as quadrilaterals. What types of quadrilaterals could you use? Explain why each shape fits the definition of a quadrilateral.","teacherTips":["A quadrilateral has 4 straight sides. Examples: square (equal sides), trapezoid (1 pair of parallel sides)."],"difficulty":"spicy"}


example_id: lp_01K92T7J7EKK0SFC4X1MB0B5Q3_01K92T7KP18GJ0NGBZGQ5NGD1F_MULTIPLE_CHOICE_QUESTION
skills: ["Understanding what a quadrilateral represents","Understanding what a parallelogram represents"]
skill_ids: ["e4WyJmpzFIWTTyK3WiK1","uTrYCyP5KwJaSQ0l0dcV"]
subtopics: ["Classifying Complex Shapes"]
subtopic_ids: ["subtopic_01H25W4524VG1MTRS2C6Z3HAMT"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"Which of the following shapes is always a parallelogram?","answerOptions":["A rectangle","A triangle","A pentagon","A circle"],"answer":"A rectangle","difficulty":"mild"}


example_id: lp_01K92T7J7EKK0SFC4X1MB0B5Q3_01K92T7KP18GJ0NGBZGXG930WX_CONTEMPLATIVE_QUESTION
skills: ["Understanding what a quadrilateral represents","Understanding what a parallelogram represents"]
skill_ids: ["e4WyJmpzFIWTTyK3WiK1","uTrYCyP5KwJaSQ0l0dcV"]
subtopics: ["Classifying Complex Shapes"]
subtopic_ids: ["subtopic_01H25W4524VG1MTRS2C6Z3HAMT"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"How would you design a park using parallelograms for paths or gardens? Explain your choices.","teacherTips":["A parallelogram has opposite sides equal and parallel, useful for creating straight, even paths."],"difficulty":"hot"}


example_id: lp_01K92T7J7EKK0SFC4X1MB0B5Q3_01K92T7KP18GJ0NGBZGT5S9428_MULTIPLE_CHOICE_QUESTION
skills: ["Understanding what a quadrilateral represents","Understanding what a parallelogram represents"]
skill_ids: ["e4WyJmpzFIWTTyK3WiK1","uTrYCyP5KwJaSQ0l0dcV"]
subtopics: ["Classifying Complex Shapes"]
subtopic_ids: ["subtopic_01H25W4524VG1MTRS2C6Z3HAMT"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"Which shape is always a parallelogram?","answerOptions":["A shape with two pairs of parallel sides","A shape with only one pair of parallel sides","A shape with four equal sides","A shape with four right angles"],"answer":"A shape with two pairs of parallel sides","difficulty":"mild"}


example_id: lp_01K92T7J7EKK0SFC4X1MB0B5Q3_01K92T7K7V2CT4NH5MVWA86P4N_SCAFFOLDED_QUESTION
skills: ["Understanding what a quadrilateral represents","Understanding what a parallelogram represents"]
skill_ids: ["e4WyJmpzFIWTTyK3WiK1","uTrYCyP5KwJaSQ0l0dcV"]
subtopics: ["Classifying Complex Shapes"]
subtopic_ids: ["subtopic_01H25W4524VG1MTRS2C6Z3HAMT"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
class_year: 5
country: US
period_number: 5
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore the properties and deeper understanding of quadrilaterals and parallelograms.","questions":[{"answer":"No, both pairs of sides must be parallel.","question":"Name all quadrilaterals that have two pairs of parallel sides."},{"answer":"Parallelogram, rectangle, rhombus, square","question":"In a parallelogram, the diagonals bisect each other. Explain why this property holds true for all parallelograms."},{"answer":"The diagonals create congruent triangles.","question":"A quadrilateral has one pair of opposite sides that are parallel and equal in length. Is this always a parallelogram?\nJustify your reasoning."}],"difficulty":"extension"}


example_id: lp_01K92T7J7EKK0SFC4X1MB0B5Q3_01K92T7K7V2CT4NH5MVP4XFMTZ_SCAFFOLDED_QUESTION
skills: ["Understanding what a quadrilateral represents","Understanding what a parallelogram represents"]
skill_ids: ["e4WyJmpzFIWTTyK3WiK1","uTrYCyP5KwJaSQ0l0dcV"]
subtopics: ["Classifying Complex Shapes"]
subtopic_ids: ["subtopic_01H25W4524VG1MTRS2C6Z3HAMT"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
class_year: 5
country: US
period_number: 5
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn about quadrilaterals and parallelograms. Quadrilaterals have four sides, and parallelograms are a type of quadrilateral.","questions":[{"answer":"Rectangle or rhombus","question":"How many sides does a quadrilateral have?"},{"answer":"$3$","question":"What is a key property of a parallelogram?\nHint: Opposite sides are special."},{"answer":"$4$","question":"Give an example of an object or shape in real life that looks like a parallelogram."}],"difficulty":"enabling"}


example_id: lp_01K92TFD0BQ14S0C3HWAJ4H807_01K92TFG5J9NAYPEWQDPMJSFCS_APPLICATION
skill_ids: ["QSV9vPVuI0iHXX6WRzV6","b5YQzII3Adud059yt1gV","0LRyjkHl810i8Dvu4KzU"]
subtopics: ["Classifying Shapes"]
subtopic_ids: ["subtopic_01GTC0BBR6D9ZYXAK2BFQ59WB4"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
context: Ice Hockey
class_year: 5
country: US
period_number: 5
node_type: APPLICATION
example_output_json:
{"title":"Geometry in Ice Hockey Rink Design","example1Header":"Situation\nIce hockey rink designers use geometry to plan the rink layout. They identify 2D shapes like circles, rectangles, and triangles for goals, face-off circles, and rink boundaries.","example1Body":"Example\nIce hockey rinks use a rectangle for the rink, semi-circles for goals, and a 3 m diameter circle for face-offs, ensuring accurate shape identification in design.","example2Header":"","example2Body":""}

skills:
["Understanding what a square represents","Understanding what a rectangle represents","Identifying circles, rectangles, triangles, squares"]


example_id: lp_01K92TFD0BQ14S0C3HWAJ4H807_01K92TFG5J9NAYPEWQE9Q4XWP8_THOUGHT_SPARKER
skill_ids: ["QSV9vPVuI0iHXX6WRzV6","b5YQzII3Adud059yt1gV","0LRyjkHl810i8Dvu4KzU"]
subtopics: ["Classifying Shapes"]
subtopic_ids: ["subtopic_01GTC0BBR6D9ZYXAK2BFQ59WB4"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
context: Ice Hockey
class_year: 5
country: US
period_number: 5
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"An ice hockey rink has a rectangular playing surface with rounded corners, and the goals are placed inside semi-circular areas.","firstSentence":"Why do you think the rink and goal areas use these specific shapes?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to identify rectangles, circles, and other shapes on a diagram of a hockey rink.","Discuss how the shapes might impact movement or gameplay during a hockey match.","Ask students to think about why rounded corners might be used instead of sharp corners for safety or practicality."]}

skills:
["Understanding what a square represents","Understanding what a rectangle represents","Identifying circles, rectangles, triangles, squares"]


example_id: lp_01K92TFD0BQ14S0C3HWAJ4H807_01K92TFG5J9NAYPEWQDW4TPRFE_ACTIVITY
skill_ids: ["QSV9vPVuI0iHXX6WRzV6","b5YQzII3Adud059yt1gV","0LRyjkHl810i8Dvu4KzU"]
subtopics: ["Classifying Shapes"]
subtopic_ids: ["subtopic_01GTC0BBR6D9ZYXAK2BFQ59WB4"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
context: Ice Hockey
class_year: 5
country: US
period_number: 5
node_type: ACTIVITY
example_output_json:
{"header":"Shape City Builders\nDesign a city using shapes to represent buildings, parks, and roads!","scenario":"Steps\n1. Draw a large rectangle on paper to be your city layout.\n2. Add $5$ rectangles for buildings and $3$ squares for parks.\n3. Draw $2$ circles for fountains and $3$ triangles as rooftops.\n4. Label each shape with its name and its purpose in the city.\n5. Share your city design with the class and explain your choices.","steps":["Discussion\n• Why did you choose specific shapes for certain parts of your city?\n• How are squares and rectangles similar and different?","Differentiation Opportunities\n• Support: Provide examples of each shape and their properties before starting.\n• Extend: Add more shapes like hexagons or trapezoids to increase complexity."],"discussion":[],"differentiation":{"support":"","extend":""}}

skills:
["Understanding what a square represents","Understanding what a rectangle represents","Identifying circles, rectangles, triangles, squares"]


example_id: lp_01K92TFD0BQ14S0C3HWAJ4H807_01K92TFG5J9NAYPEWQEDPCQYRK_EXIT_TICKET
skill_ids: ["QSV9vPVuI0iHXX6WRzV6","b5YQzII3Adud059yt1gV","0LRyjkHl810i8Dvu4KzU"]
subtopics: ["Classifying Shapes"]
subtopic_ids: ["subtopic_01GTC0BBR6D9ZYXAK2BFQ59WB4"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
context: Ice Hockey
class_year: 5
country: US
period_number: 5
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"Circle","question":"The puck used in ice hockey is shaped like a flat cylinder. What shape is the top view of the puck?"},{"answer":"$4$","question":"The ice hockey rink has a playing surface that is shaped like a rectangle. How many corners does the rink have?"},{"answer":"$24$","question":"The faceoff circles on an ice hockey rink are inside squares for practice. If the square's sides are $6$ m, what is its perimeter?"}]}


example_id: lp_01K92TFD0BQ14S0C3HWAJ4H807_01K92TFG5J9NAYPEWQE8H0EK08_CONTEMPLATIVE_QUESTION
skill_ids: ["QSV9vPVuI0iHXX6WRzV6","b5YQzII3Adud059yt1gV","0LRyjkHl810i8Dvu4KzU"]
subtopics: ["Classifying Shapes"]
subtopic_ids: ["subtopic_01GTC0BBR6D9ZYXAK2BFQ59WB4"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
context: Ice Hockey
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"Design a park using only circles, rectangles, triangles, and squares. What shapes will you use for paths, playgrounds, or ponds? Explain your choices.","teacherTips":["Ask students to describe why they chose specific shapes for each part of their park.","Encourage creative designs while ensuring use of the given shapes.","Discuss how each shape's properties make it suitable for different purposes."],"difficulty":"mild"}


example_id: lp_01K92TGF9DVW3K47Z56XQXVWQJ_01K92TGGPWFEVGQWP4QM6Y4A2E_MULTIPLE_CHOICE_QUESTION
skill_ids: ["QSV9vPVuI0iHXX6WRzV6","0LRyjkHl810i8Dvu4KzU","b5YQzII3Adud059yt1gV"]
subtopics: ["Classifying Shapes"]
subtopic_ids: ["subtopic_01GTC0BBR6D9ZYXAK2BFQ59WB4"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is true about all sides of a square?","answerOptions":["All sides are unequal.","All sides are curved.","All sides are equal.","All sides are different lengths."],"answer":"All sides are equal.","difficulty":"mild"}

skills:
["Understanding what a square represents","Identifying circles, rectangles, triangles, squares","Understanding what a rectangle represents"]


example_id: lp_01K92TGF9DVW3K47Z56XQXVWQJ_01K92TGGPWFEVGQWP4QNGQZAX5_CONTEMPLATIVE_QUESTION
skill_ids: ["QSV9vPVuI0iHXX6WRzV6","0LRyjkHl810i8Dvu4KzU","b5YQzII3Adud059yt1gV"]
subtopics: ["Classifying Shapes"]
subtopic_ids: ["subtopic_01GTC0BBR6D9ZYXAK2BFQ59WB4"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"If you had to create a new park with square gardens, how would you arrange the squares? Why?","teacherTips":["Squares have equal sides and angles, making them easy to arrange symmetrically in designs."],"difficulty":"hot"}

skills:
["Understanding what a square represents","Identifying circles, rectangles, triangles, squares","Understanding what a rectangle represents"]


example_id: lp_01K92TGF9DVW3K47Z56XQXVWQJ_01K92TGGPWFEVGQWP4NX1XYDTS_CONTEMPLATIVE_QUESTION
skill_ids: ["QSV9vPVuI0iHXX6WRzV6","0LRyjkHl810i8Dvu4KzU","b5YQzII3Adud059yt1gV"]
subtopics: ["Classifying Shapes"]
subtopic_ids: ["subtopic_01GTC0BBR6D9ZYXAK2BFQ59WB4"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
class_year: 5
country: US
period_number: 5
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"If you could design a park with spaces shaped like circles, rectangles, triangles, and squares, what would your design look like? How would you use each shape, and why?","teacherTips":["Circles for fountains, rectangles for paths, triangles for play areas, squares for gardens."],"difficulty":"mild"}

skills:
["Understanding what a square represents","Identifying circles, rectangles, triangles, squares","Understanding what a rectangle represents"]


example_id: lp_01K92TGF9DVW3K47Z56XQXVWQJ_01K92TGGPWFEVGQWP4P3P966RP_MULTIPLE_CHOICE_QUESTION
skill_ids: ["QSV9vPVuI0iHXX6WRzV6","0LRyjkHl810i8Dvu4KzU","b5YQzII3Adud059yt1gV"]
subtopics: ["Classifying Shapes"]
subtopic_ids: ["subtopic_01GTC0BBR6D9ZYXAK2BFQ59WB4"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"Which of the following shapes has all sides equal in length and four right angles?","answerOptions":["Circle","Rectangle","Triangle","Square"],"answer":"Square","difficulty":"hot"}


example_id: lp_01K92TGF9DVW3K47Z56XQXVWQJ_01K92TGGPWFEVGQWP4PXZS5659_MULTIPLE_CHOICE_QUESTION
skill_ids: ["QSV9vPVuI0iHXX6WRzV6","0LRyjkHl810i8Dvu4KzU","b5YQzII3Adud059yt1gV"]
subtopics: ["Classifying Shapes"]
subtopic_ids: ["subtopic_01GTC0BBR6D9ZYXAK2BFQ59WB4"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: spicy
example_output_json:
{"question":"A rectangle has a length of $8$ cm and an area of $56$ cm$^2$. What is the width of the rectangle?","answerOptions":["$6$ cm","$7$ cm","$8$ cm","$9$ cm"],"answer":"$7$ cm","difficulty":"spicy"}


example_id: lp_01K92TGF9DVW3K47Z56XQXVWQJ_01K92TGGPWFEVGQWP4PSYDP2ZD_MULTIPLE_CHOICE_QUESTION
skill_ids: ["QSV9vPVuI0iHXX6WRzV6","0LRyjkHl810i8Dvu4KzU","b5YQzII3Adud059yt1gV"]
subtopics: ["Classifying Shapes"]
subtopic_ids: ["subtopic_01GTC0BBR6D9ZYXAK2BFQ59WB4"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
class_year: 5
country: US
period_number: 5
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"Which of the following statements is true about a rectangle?","answerOptions":["It has four equal sides.","It has two pairs of equal sides.","It has no right angles.","It has three sides."],"answer":"It has two pairs of equal sides.","difficulty":"hot"}


example_id: lp_01K92TGF9DVW3K47Z56XQXVWQJ_01K92TGG7Q5TWY611NYB5PX4RW_SCAFFOLDED_QUESTION
skill_ids: ["QSV9vPVuI0iHXX6WRzV6","0LRyjkHl810i8Dvu4KzU","b5YQzII3Adud059yt1gV"]
subtopics: ["Classifying Shapes"]
subtopic_ids: ["subtopic_01GTC0BBR6D9ZYXAK2BFQ59WB4"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
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 identify circles, rectangles, triangles, and squares. You will also understand what makes a square and a rectangle.","questions":[{"answer":"It has $4$ equal sides and $4$ corners.","question":"What makes a shape a square?"},{"answer":"It has $4$ equal sides and $4$ corners.","question":"How is a rectangle different from a square?"},{"answer":"It has no sides or corners.","question":"Why is a square a special type of rectangle?"}],"difficulty":"enabling"}


example_id: lp_01K92TGF9DVW3K47Z56XQXVWQJ_01K92TGG7Q5TWY611NYGR97C3B_SCAFFOLDED_QUESTION
skill_ids: ["QSV9vPVuI0iHXX6WRzV6","0LRyjkHl810i8Dvu4KzU","b5YQzII3Adud059yt1gV"]
subtopics: ["Classifying Shapes"]
subtopic_ids: ["subtopic_01GTC0BBR6D9ZYXAK2BFQ59WB4"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
class_year: 5
country: US
period_number: 5
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Deepen your understanding of circles, rectangles, triangles, and squares by exploring their properties and relationships.","questions":[{"answer":"Yes, because squares meet all rectangle criteria.","question":"What property does every square have that every rectangle does not necessarily have?"},{"answer":"All sides are equal in length.","question":"A shape is a rectangle and also a square. Could it also be a triangle? Explain why or why not."},{"answer":"No, because a triangle has 3 sides.","question":"Is a square always a rectangle? Justify your answer by explaining the relationship between the definitions of squares and rectangles."}],"difficulty":"extension"}


example_id: lp_01K92V0VGJ0SBGXCATDR1BKNJ2_01K92V0WGYV9K5MXG16G29TRB2_APPLICATION
skill_ids: ["KP0jdTBnhg9nDfS8rpT2","4ky0sTtZWorC7rOY9PHj"]
subtopics: ["Indices"]
subtopic_ids: ["subtopic_01GTC0BH4D1NT5Z30EDVVAMHEB"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Cricket
class_year: 6
country: US
period_number: 6
node_type: APPLICATION
example_output_json:
{"title":"Cricket Score Multiplication with Exponents","example1Header":"Situation\nCricket analysts calculate total runs scored by a player across multiple games. Exponents simplify repeated multiplications, especially when players hit consistent boundaries.","example1Body":"Example\nA cricket player hits $4$ runs per boundary, doing this $3$ times. Using exponents: $4^3 = 4 \\times 4 \\times 4 = 64$ runs scored in total.","example2Header":"","example2Body":""}

skills:
["Understanding what an exponent represents","Identifying the exponent and base in exponent notation"]


example_id: lp_01K92V0VGJ0SBGXCATDR1BKNJ2_01K92V0WGZT1W816GG7FT4MSHG_THOUGHT_SPARKER
skill_ids: ["KP0jdTBnhg9nDfS8rpT2","4ky0sTtZWorC7rOY9PHj"]
subtopics: ["Indices"]
subtopic_ids: ["subtopic_01GTC0BH4D1NT5Z30EDVVAMHEB"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Cricket
class_year: 6
country: US
period_number: 6
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"In a cricket match, a player hits $2^3$ cricket balls in the first round, $2^4$ in the second round, and $2^5$ in the third round.","firstSentence":"What does the exponent represent in each of these expressions?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Discuss how exponents show repeated multiplication of the base.","Encourage students to connect the numbers to the context by visualizing the cricket balls hit.","Ask students to compare the values of $2^3$, $2^4$, and $2^5$ to see how the exponent changes the total."]}

skills:
["Understanding what an exponent represents","Identifying the exponent and base in exponent notation"]


example_id: lp_01K92V0VGJ0SBGXCATDR1BKNJ2_01K92V0WGYV9K5MXG16JXVYMKW_ACTIVITY
skill_ids: ["KP0jdTBnhg9nDfS8rpT2","4ky0sTtZWorC7rOY9PHj"]
subtopics: ["Indices"]
subtopic_ids: ["subtopic_01GTC0BH4D1NT5Z30EDVVAMHEB"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Cricket
class_year: 6
country: US
period_number: 6
node_type: ACTIVITY
example_output_json:
{"header":"Exponent Decoder Race\nYou’re decoding mysterious powers! Each team solves and creates exponential expressions.","scenario":"Steps\n1. Write $5$ exponential expressions, like $3^4$, on your paper.\n2. Swap your expressions with another team.\n3. Identify the base and exponent in each expression.\n4. Write the expanded form for each (e.g., $3^4 = 3 \\times 3 \\times 3 \\times 3$).\n5. Score $1$ point for each correct answer. Play $3$ rounds!","steps":["Discussion\n• Why is the base repeated in the expanded form?\n• What happens when the exponent is $1$ or $0$?","Differentiation Opportunities\n• Support: Start with smaller bases and exponents (e.g., $2^3$ or $4^2$).\n• Extend: Use larger bases and exponents (e.g., $6^5$) or ask for final values."],"discussion":[],"differentiation":{"support":"","extend":""}}

skills:
["Understanding what an exponent represents","Identifying the exponent and base in exponent notation"]


example_id: lp_01K92V0VGJ0SBGXCATDR1BKNJ2_01K92V0WGZT1W816GG7EYFDTWA_CONTEMPLATIVE_QUESTION
skill_ids: ["KP0jdTBnhg9nDfS8rpT2","4ky0sTtZWorC7rOY9PHj"]
subtopics: ["Indices"]
subtopic_ids: ["subtopic_01GTC0BH4D1NT5Z30EDVVAMHEB"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Cricket
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You see $5^3$ in a math problem. What do the $5$ and $3$ represent? Can you create your own example?","teacherTips":["The base ($5$) is the repeated factor, and the exponent ($3$) shows how many times to multiply it.","Encourage students to explain using words and create their own examples.","Ask students to write the expanded form for their examples."],"difficulty":"mild"}


example_id: lp_01K92V0VGJ0SBGXCATDR1BKNJ2_01K92V0WGZT1W816GG7MPWPAP8_EXIT_TICKET
skill_ids: ["KP0jdTBnhg9nDfS8rpT2","4ky0sTtZWorC7rOY9PHj"]
subtopics: ["Indices"]
subtopic_ids: ["subtopic_01GTC0BH4D1NT5Z30EDVVAMHEB"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Cricket
class_year: 6
country: US
period_number: 6
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"Base: $5$, Exponent: $3$","question":"In the cricket scoreboard, if the runs are recorded as $5^3$, what is the base and what is the exponent?"},{"answer":"$16$","question":"A cricket player hits the ball $2^4$ times during practice. How many total hits did the player make?"},{"answer":"$73$","question":"During a cricket match, the number of runs scored is given by $3^2 + 4^3$. How many runs were scored in total?"}]}


example_id: lp_01K932K12ZG1ZYVPS7TV18J951_01K932K1YVH1TD6Q4AA0AVVDFJ_APPLICATION
skill_ids: ["4ky0sTtZWorC7rOY9PHj","KP0jdTBnhg9nDfS8rpT2"]
subtopics: ["Exponents"]
subtopic_ids: ["subtopic_01GTC0BDF2P4V675HQJEYBNFFK"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Cricket
class_year: 8
country: US
period_number: 8
node_type: APPLICATION
example_output_json:
{"title":"Exponents in Cricket Statistics","example1Header":"Situation\nCricket analysts use statistics to track player performance. Exponents help calculate how much a player improves over multiple matches or seasons.","example1Body":"Example\nA player scores $5 \\cdot 2^n$ runs in Match $n$. Over 4 matches: $5 + 10 + 20 + 40 = 75$ runs. Exponents track consistent doubling in runs effectively.","example2Header":"","example2Body":""}

skills:
["Identifying the exponent and base in exponent notation","Understanding what an exponent represents"]


example_id: lp_01K932K12ZG1ZYVPS7TV18J951_01K932K1YVH1TD6Q4AAP0WATZS_THOUGHT_SPARKER
skill_ids: ["4ky0sTtZWorC7rOY9PHj","KP0jdTBnhg9nDfS8rpT2"]
subtopics: ["Exponents"]
subtopic_ids: ["subtopic_01GTC0BDF2P4V675HQJEYBNFFK"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Cricket
class_year: 8
country: US
period_number: 8
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"In a cricket match, a batter scores $3^4$ runs, which is expressed in exponential form.","firstSentence":"What does the exponent in this score represent?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Review the terms 'base' and 'exponent' with the class before beginning the discussion.","Encourage students to think about how repeated multiplication relates to exponents.","Ask students to give examples of other situations where exponents might represent something meaningful."]}

skills:
["Identifying the exponent and base in exponent notation","Understanding what an exponent represents"]


example_id: lp_01K932K12ZG1ZYVPS7TV18J951_01K932K1YVH1TD6Q4AA4DVPXZE_ACTIVITY
skill_ids: ["4ky0sTtZWorC7rOY9PHj","KP0jdTBnhg9nDfS8rpT2"]
subtopics: ["Exponents"]
subtopic_ids: ["subtopic_01GTC0BDF2P4V675HQJEYBNFFK"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Cricket
class_year: 8
country: US
period_number: 8
node_type: ACTIVITY
example_output_json:
{"header":"Exponent Detective Game\nYou're detectives solving puzzles involving exponents. Crack the code to win!","scenario":"Steps\n1. In teams, write $5$ expressions with exponents (e.g., $3^4$, $5^2$).\n2. Exchange your expressions with another team.\n3. Identify the base and exponent in each expression.\n4. Write the expanded form (e.g., $3^4 = 3 \\times 3 \\times 3 \\times 3$).\n5. Score $2$ points for each correct answer. Team with the most points wins!","steps":["Discussion\n• Why is $3^4$ different from $4^3$?\n• How does the base affect the value of an exponent?","Differentiation Opportunities\n• Support: Use smaller bases (e.g., $2$, $3$) and exponents (e.g., $2$, $3$).\n• Extend: Include negative bases (e.g., $(-2)^3$) and fractional exponents."],"discussion":[],"differentiation":{"support":"","extend":""}}

skills:
["Identifying the exponent and base in exponent notation","Understanding what an exponent represents"]


example_id: lp_01K932K12ZG1ZYVPS7TV18J951_01K932K1YVH1TD6Q4AAV6J1ZFY_EXIT_TICKET
skill_ids: ["4ky0sTtZWorC7rOY9PHj","KP0jdTBnhg9nDfS8rpT2"]
subtopics: ["Exponents"]
subtopic_ids: ["subtopic_01GTC0BDF2P4V675HQJEYBNFFK"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Cricket
class_year: 8
country: US
period_number: 8
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"Base: $5$, Exponent: $3$","question":"In cricket, a player hits $5^3$ runs in a match. What is the base and what is the exponent in $5^3$?"},{"answer":"$16$","question":"If a cricket ball is hit for $4^2$ runs, how many total runs does the exponent represent?"},{"answer":"$81$","question":"A cricket coach tracks scores and writes $3^4$ runs for a player. How many runs does the exponent represent and what does it mean?"}]}


example_id: lp_01K932K12ZG1ZYVPS7TV18J951_01K932K1YVH1TD6Q4AAH1BB7N2_CONTEMPLATIVE_QUESTION
skill_ids: ["4ky0sTtZWorC7rOY9PHj","KP0jdTBnhg9nDfS8rpT2"]
subtopics: ["Exponents"]
subtopic_ids: ["subtopic_01GTC0BDF2P4V675HQJEYBNFFK"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Cricket
class_year: 8
country: US
period_number: 8
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You see $3^4$. What do the $3$ and $4$ represent? How would you explain $3^4$ to a friend?","teacherTips":["Discuss $3$ as the base and $4$ as the exponent in $3^4$.","Explain the exponent shows repeated multiplication: $3 \\times 3 \\times 3 \\times 3$.","Relate exponents to real-world examples like area or volume."],"difficulty":"mild"}


example_id: lp_01K92V1WC181G4SKSJY9ZB8BP4_01K92V1XP9WR1RMM8JSCZH79PJ_MULTIPLE_CHOICE_QUESTION
skill_ids: ["4ky0sTtZWorC7rOY9PHj","KP0jdTBnhg9nDfS8rpT2"]
subtopics: ["Indices"]
subtopic_ids: ["subtopic_01GTC0BH4D1NT5Z30EDVVAMHEB"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"In the term $5^7$, what is the base?","answerOptions":["$5$","$7$","$5 \\times 7$","$7^5$"],"answer":"$5$","difficulty":"mild"}


example_id: lp_01K92V1WC181G4SKSJY9ZB8BP4_01K92V1XP9WR1RMM8JSJXVX24B_CONTEMPLATIVE_QUESTION
skill_ids: ["4ky0sTtZWorC7rOY9PHj","KP0jdTBnhg9nDfS8rpT2"]
subtopics: ["Indices"]
subtopic_ids: ["subtopic_01GTC0BH4D1NT5Z30EDVVAMHEB"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"Create your own equation using exponents where the base is a single digit and the result is greater than $1\\,000$. How would you explain the roles of the base and the exponent in your equation?","teacherTips":["The base is the number multiplied repeatedly. The exponent shows how many times to multiply the base."],"difficulty":"spicy"}


example_id: lp_01K92V1WC181G4SKSJY9ZB8BP4_01K92V1XP9WR1RMM8JSA0ECZPP_MULTIPLE_CHOICE_QUESTION
skill_ids: ["4ky0sTtZWorC7rOY9PHj","KP0jdTBnhg9nDfS8rpT2"]
subtopics: ["Indices"]
subtopic_ids: ["subtopic_01GTC0BH4D1NT5Z30EDVVAMHEB"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"In the expression $5^4$, what is the base?","answerOptions":["$4$","$5$","$9$","$20$"],"answer":"$5$","difficulty":"mild"}


example_id: lp_01K92V1WC181G4SKSJY9ZB8BP4_01K92V1XP9WR1RMM8JRQTJF5EZ_CONTEMPLATIVE_QUESTION
skill_ids: ["4ky0sTtZWorC7rOY9PHj","KP0jdTBnhg9nDfS8rpT2"]
subtopics: ["Indices"]
subtopic_ids: ["subtopic_01GTC0BH4D1NT5Z30EDVVAMHEB"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"A tree grows $2^3$ inches tall in $3$ years. What does $2^3$ mean? How would the growth change for $2^4$?","teacherTips":["$2^3$ means $2 \\times 2 \\times 2 = 8$. For $2^4$, it would be $2 \\times 2 \\times 2 \\times 2 = 16$."],"difficulty":"mild"}


example_id: lp_01K92V1WC181G4SKSJY9ZB8BP4_01K92V1XP9WR1RMM8JRKND3RF2_MULTIPLE_CHOICE_QUESTION
skill_ids: ["4ky0sTtZWorC7rOY9PHj","KP0jdTBnhg9nDfS8rpT2"]
subtopics: ["Indices"]
subtopic_ids: ["subtopic_01GTC0BH4D1NT5Z30EDVVAMHEB"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"In the expression $3^4$, what does the exponent $4$ represent?","answerOptions":["The number of times $3$ is added","The number of times $3$ is divided","The number of times $3$ is multiplied by itself","The number of times $3$ is subtracted"],"answer":"The number of times $3$ is multiplied by itself","difficulty":"mild"}


example_id: lp_01K92V1WC181G4SKSJY9ZB8BP4_01K92V1X7CJD9R04JEF22NJDZJ_SCAFFOLDED_QUESTION
skill_ids: ["4ky0sTtZWorC7rOY9PHj","KP0jdTBnhg9nDfS8rpT2"]
subtopics: ["Indices"]
subtopic_ids: ["subtopic_01GTC0BH4D1NT5Z30EDVVAMHEB"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn to identify the base and exponent in indices. The base shows the number being multiplied, and the exponent shows how many times.","questions":[{"answer":"Base: $5$, Exponent: $2$","question":"In $4^3$, what is the base?\nThe base is the number being multiplied repeatedly."},{"answer":"$4$","question":"In $4^3$, what is the exponent?\nThe exponent shows how many times the base is multiplied."},{"answer":"$3$","question":"In $5^2$, what is the base and what is the exponent?\nRemember: the base is the number being multiplied, and the exponent shows how many times."}],"difficulty":"enabling"}


example_id: lp_01K92V1WC181G4SKSJY9ZB8BP4_01K92V1X7CJD9R04JEF7RYAGY4_SCAFFOLDED_QUESTION
skill_ids: ["4ky0sTtZWorC7rOY9PHj","KP0jdTBnhg9nDfS8rpT2"]
subtopics: ["Indices"]
subtopic_ids: ["subtopic_01GTC0BH4D1NT5Z30EDVVAMHEB"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore the relationships between exponents and bases in mathematical expressions.","questions":[{"answer":"The base determines the repeated factor, and the exponent shows the number of repetitions.","question":"In the expression $5^4$, identify the base and the exponent."},{"answer":"Base: $5$, Exponent: $4$","question":"In the expression $3^2 \\times 7^3$, identify the bases and their corresponding exponents."},{"answer":"Bases: $3$, $7$, Exponents: $2$, $3$","question":"Explain why the expression $2^5$ represents $2$ being multiplied by itself $5$ times, and not $5$ being multiplied by itself $2$ times."}],"difficulty":"extension"}


example_id: lp_01K932KN7X459TJDV2EZACD1V4_01K932KPC00YPJEEF3VW2FWZDH_MULTIPLE_CHOICE_QUESTION
skill_ids: ["KP0jdTBnhg9nDfS8rpT2","4ky0sTtZWorC7rOY9PHj"]
subtopics: ["Exponents"]
subtopic_ids: ["subtopic_01GTC0BDF2P4V675HQJEYBNFFK"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 8
country: US
period_number: 8
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What does the exponent in $3^5$ represent?","answerOptions":["The number of times $3$ is added to itself","The number of times $3$ is multiplied by $5$","The number of times $3$ is multiplied by itself","The number of times $5$ is multiplied by itself"],"answer":"The number of times $3$ is multiplied by itself","difficulty":"mild"}


example_id: lp_01K932KN7X459TJDV2EZACD1V4_01K932KPC00YPJEEF3VP9S2GHR_CONTEMPLATIVE_QUESTION
skill_ids: ["KP0jdTBnhg9nDfS8rpT2","4ky0sTtZWorC7rOY9PHj"]
subtopics: ["Exponents"]
subtopic_ids: ["subtopic_01GTC0BDF2P4V675HQJEYBNFFK"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 8
country: US
period_number: 8
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You see $3^4$ in a math problem. How would you explain what the $3$ and $4$ represent? Create your own example of an exponent and explain it.","teacherTips":["In $3^4$, $3$ is the base (factor), $4$ is the exponent (times to multiply $3$): $3 \\times 3 \\times 3 \\times 3$."],"difficulty":"mild"}


example_id: lp_01K932KN7X459TJDV2EZACD1V4_01K932KPC00YPJEEF3WPEZQB1J_MULTIPLE_CHOICE_QUESTION
skill_ids: ["KP0jdTBnhg9nDfS8rpT2","4ky0sTtZWorC7rOY9PHj"]
subtopics: ["Exponents"]
subtopic_ids: ["subtopic_01GTC0BDF2P4V675HQJEYBNFFK"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 8
country: US
period_number: 8
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"In the expression $2^5$, what is the base?","answerOptions":["$2$","$5$","$10$","$25$"],"answer":"$2$","difficulty":"mild"}


example_id: lp_01K932KN7X459TJDV2EZACD1V4_01K932KPC00YPJEEF3WXRND3JP_CONTEMPLATIVE_QUESTION
skill_ids: ["KP0jdTBnhg9nDfS8rpT2","4ky0sTtZWorC7rOY9PHj"]
subtopics: ["Exponents"]
subtopic_ids: ["subtopic_01GTC0BDF2P4V675HQJEYBNFFK"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 8
country: US
period_number: 8
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"Create a scenario where you use indices to represent repeated multiplication of a number. Identify the base and exponent in your example, and explain how changing either affects the value.","teacherTips":["The base is the number being multiplied; the exponent shows how many times. Example: $3^4 = 3 \\times 3 \\times 3 \\times 3 = 81$."],"difficulty":"spicy"}


example_id: lp_01K932KN7X459TJDV2EZACD1V4_01K932KPC00YPJEEF3WGR63Q7X_MULTIPLE_CHOICE_QUESTION
skill_ids: ["KP0jdTBnhg9nDfS8rpT2","4ky0sTtZWorC7rOY9PHj"]
subtopics: ["Exponents"]
subtopic_ids: ["subtopic_01GTC0BDF2P4V675HQJEYBNFFK"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 8
country: US
period_number: 8
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"In the expression $7^3$, what is the base?","answerOptions":["$3$","$7$","$21$","$10$"],"answer":"$7$","difficulty":"mild"}


example_id: lp_01K932KN7X459TJDV2EZACD1V4_01K932KNZ2XHSE4K1JEC0BAWTK_SCAFFOLDED_QUESTION
skill_ids: ["KP0jdTBnhg9nDfS8rpT2","4ky0sTtZWorC7rOY9PHj"]
subtopics: ["Exponents"]
subtopic_ids: ["subtopic_01GTC0BDF2P4V675HQJEYBNFFK"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 8
country: US
period_number: 8
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore exponents: Understand bases, powers, and deeper implications of indices","questions":[{"answer":"Order changes meaning; $3^4 = 81$, $4^3 = 64$","question":"In the expression $5^7$, identify the base and the exponent."},{"answer":"Base: $5$, Exponent: $7$","question":"In the expression $a^b$, where $a$ and $b$ are positive integers, what does $b$ represent?"},{"answer":"The number of times the base is multiplied","question":"Explain why $3^4$ and $4^3$ are not equal, even though both involve the same numbers, and discuss the significance of base and exponent order."}],"difficulty":"extension"}


example_id: lp_01K932KN7X459TJDV2EZACD1V4_01K932KNZ2XHSE4K1JE8EET8XJ_SCAFFOLDED_QUESTION
skill_ids: ["KP0jdTBnhg9nDfS8rpT2","4ky0sTtZWorC7rOY9PHj"]
subtopics: ["Exponents"]
subtopic_ids: ["subtopic_01GTC0BDF2P4V675HQJEYBNFFK"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 8
country: US
period_number: 8
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn to identify the base and exponent in indices. Remember, the base is the number that is multiplied, and the exponent shows how many times it is multiplied by itself.","questions":[{"answer":"Base: $3$, Exponent: $5$","question":"In the expression $5^3$, what is the base?\nThe base is the number being multiplied by itself."},{"answer":"$3$","question":"In the expression $7^4$, what is the exponent?\nThe exponent tells how many times the base is multiplied by itself."},{"answer":"$5$","question":"In the expression $3^5$, identify the base and the exponent."}],"difficulty":"enabling"}


example_id: lp_01K932TMB6FYFAS39Q44A9A816_01K932TN7SPHK7EZN17BQ0JMT3_APPLICATION
skills: ["Understanding and applying cube roots","Understanding and applying square roots"]
skill_ids: ["TtCBA0VMIglem3txLOPT","nAeQST2P2HvSGNbKenCW"]
subtopics: ["Indices Advanced"]
subtopic_ids: ["subtopic_01GTC0BG62GBQ69QVHDSCJP05N"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: NFL
class_year: 8
country: US
period_number: 8
node_type: APPLICATION
example_output_json:
{"title":"Understanding Square Roots in NFL Field Goals","example1Header":"Situation\nNFL coaches and players analyze kicking distances to refine their field-goal strategies. They estimate distances using square roots to ensure accuracy in planning.","example1Body":"Example\nAn NFL practice field with an area of 1,600 square yards has sides of $\\sqrt{1,600} = 40$ yards, helping coaches plan kicking drills efficiently.","example2Header":"","example2Body":""}


example_id: lp_01K932TMB6FYFAS39Q44A9A816_01K932TN7SPHK7EZN17YC9RDGS_THOUGHT_SPARKER
skills: ["Understanding and applying cube roots","Understanding and applying square roots"]
skill_ids: ["TtCBA0VMIglem3txLOPT","nAeQST2P2HvSGNbKenCW"]
subtopics: ["Indices Advanced"]
subtopic_ids: ["subtopic_01GTC0BG62GBQ69QVHDSCJP05N"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: NFL
class_year: 8
country: US
period_number: 8
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"An NFL regulation field is $120$ yards long and $53.3$ yards wide. Imagine a cube-shaped storage container with a volume of $1\\,728$ cubic yards.","firstSentence":"How could you determine if the side length of the cube could represent a field dimension, and why?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to calculate the cube root of $1\\,728$ and compare it to the given field dimensions.","Discuss the relationship between cube roots and volume to reinforce understanding.","Prompt students to think about why only certain measurements make sense for specific contexts in geometry."]}


example_id: lp_01K932TMB6FYFAS39Q44A9A816_01K932TN7SPHK7EZN183DDCQWC_EXIT_TICKET
skills: ["Understanding and applying cube roots","Understanding and applying square roots"]
skill_ids: ["TtCBA0VMIglem3txLOPT","nAeQST2P2HvSGNbKenCW"]
subtopics: ["Indices Advanced"]
subtopic_ids: ["subtopic_01GTC0BG62GBQ69QVHDSCJP05N"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: NFL
class_year: 8
country: US
period_number: 8
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$12$","question":"An NFL stadium has a square practice field with an area of $144$ m$^2$. What is the length of one side of the field?"},{"answer":"$10$","question":"An NFL quarterback throws a ball with a volume of $1\\,000$ cm$^3$. What is the length of one side if the ball were a cube?"},{"answer":"$20$","question":"A square NFL scoreboard has a diagonal of $20\\sqrt{2}$ m. What is the length of one side of the scoreboard?"}]}


example_id: lp_01K932TMB6FYFAS39Q44A9A816_01K932TN7SPHK7EZN17Y2RWT64_CONTEMPLATIVE_QUESTION
skills: ["Understanding and applying cube roots","Understanding and applying square roots"]
skill_ids: ["TtCBA0VMIglem3txLOPT","nAeQST2P2HvSGNbKenCW"]
subtopics: ["Indices Advanced"]
subtopic_ids: ["subtopic_01GTC0BG62GBQ69QVHDSCJP05N"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: NFL
class_year: 8
country: US
period_number: 8
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"A cube-shaped box has a volume of $216$ cubic inches, and a square-shaped tile has an area of $49$ square inches. How would you find the side length of each? Could you use square and cube roots in other real-life situations?","teacherTips":["Guide students to connect cube root to finding the side of the cube.","Discuss square root as the method for finding the side of the square.","Encourage examples like space planning or measuring objects."],"difficulty":"mild"}


example_id: lp_01K932TMB6FYFAS39Q44A9A816_01K932TN7SPHK7EZN17GKEEJ35_ACTIVITY
skills: ["Understanding and applying cube roots","Understanding and applying square roots"]
skill_ids: ["TtCBA0VMIglem3txLOPT","nAeQST2P2HvSGNbKenCW"]
subtopics: ["Indices Advanced"]
subtopic_ids: ["subtopic_01GTC0BG62GBQ69QVHDSCJP05N"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: NFL
class_year: 8
country: US
period_number: 8
node_type: ACTIVITY
example_output_json:
{"header":"Root Race Challenge\nCompete with your team to solve square and cube root problems faster than others!","scenario":"Steps\n1. Write $10$ numbers on paper: $5$ perfect squares and $5$ perfect cubes.\n2. Shuffle and draw a number. Calculate its square or cube root.\n3. Earn $1$ point for a correct answer. Teams check each other's work.\n4. Repeat for $5$ rounds. Track your team's total score.\n5. The team with the highest score wins the challenge!","steps":["Discussion\n• How do square roots and cube roots differ?\n• Why are some roots easier to calculate than others?","Differentiation Opportunities\n• Support: Use numbers with smaller roots (e.g., $1$, $4$, $8$, $27$).\n• Extend: Include non-perfect squares and cubes for bonus points."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K932VAV7RYNY5PQ0J476J47H_01K932VC7AQMYXFVEFJKRZW402_MULTIPLE_CHOICE_QUESTION
skills: ["Understanding and applying cube roots","Understanding and applying square roots"]
skill_ids: ["TtCBA0VMIglem3txLOPT","nAeQST2P2HvSGNbKenCW"]
subtopics: ["Indices Advanced"]
subtopic_ids: ["subtopic_01GTC0BG62GBQ69QVHDSCJP05N"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 8
country: US
period_number: 8
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"Which integer is closest to $\\sqrt[3]{500}$?","answerOptions":["$7$","$8$","$9$","$10$"],"answer":"$8$","difficulty":"hot"}


example_id: lp_01K932VAV7RYNY5PQ0J476J47H_01K932VC7AQMYXFVEFJHP121JD_MULTIPLE_CHOICE_QUESTION
skills: ["Understanding and applying cube roots","Understanding and applying square roots"]
skill_ids: ["TtCBA0VMIglem3txLOPT","nAeQST2P2HvSGNbKenCW"]
subtopics: ["Indices Advanced"]
subtopic_ids: ["subtopic_01GTC0BG62GBQ69QVHDSCJP05N"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 8
country: US
period_number: 8
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is the cube root of $27$?","answerOptions":["$2$","$3$","$9$","$6$"],"answer":"$3$","difficulty":"mild"}


example_id: lp_01K932VAV7RYNY5PQ0J476J47H_01K932VC7AQMYXFVEFJCFN9ERX_CONTEMPLATIVE_QUESTION
skills: ["Understanding and applying cube roots","Understanding and applying square roots"]
skill_ids: ["TtCBA0VMIglem3txLOPT","nAeQST2P2HvSGNbKenCW"]
subtopics: ["Indices Advanced"]
subtopic_ids: ["subtopic_01GTC0BG62GBQ69QVHDSCJP05N"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 8
country: US
period_number: 8
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You are designing a cube-shaped box with a volume of $216$ cubic inches. How would you find the side length? What if the volume changes to $343$ or $512$ cubic inches? Explain your reasoning.","teacherTips":["The side length is the cube root of the volume: $6$ for $216$, $7$ for $343$, and $8$ for $512$."],"difficulty":"mild"}


example_id: lp_01K932VAV7RYNY5PQ0J476J47H_01K932VC7AQMYXFVEFHT555NZY_MULTIPLE_CHOICE_QUESTION
skills: ["Understanding and applying cube roots","Understanding and applying square roots"]
skill_ids: ["TtCBA0VMIglem3txLOPT","nAeQST2P2HvSGNbKenCW"]
subtopics: ["Indices Advanced"]
subtopic_ids: ["subtopic_01GTC0BG62GBQ69QVHDSCJP05N"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 8
country: US
period_number: 8
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is the value of $\\sqrt{49}$?","answerOptions":["$5$","$6$","$7$","$8$"],"answer":"$7$","difficulty":"mild"}


example_id: lp_01K932VAV7RYNY5PQ0J476J47H_01K932VC7AQMYXFVEFHWVDCHAD_CONTEMPLATIVE_QUESTION
skills: ["Understanding and applying cube roots","Understanding and applying square roots"]
skill_ids: ["TtCBA0VMIglem3txLOPT","nAeQST2P2HvSGNbKenCW"]
subtopics: ["Indices Advanced"]
subtopic_ids: ["subtopic_01GTC0BG62GBQ69QVHDSCJP05N"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 8
country: US
period_number: 8
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"You are designing a square garden with an area between $50$ m$^2$ and $200$ m$^2$. How would you calculate the side length of the garden? If you want the side length as a whole number, what could the area be?","teacherTips":["Calculate $s = \\sqrt{A}$. Whole number sides occur for $A = 64$, $81$, $100$, $121$, $144$, $169$, $196$."],"difficulty":"spicy"}


example_id: lp_01K932VAV7RYNY5PQ0J476J47H_01K932VBS8NXZ1CZP898JA0A8J_SCAFFOLDED_QUESTION
skills: ["Understanding and applying cube roots","Understanding and applying square roots"]
skill_ids: ["TtCBA0VMIglem3txLOPT","nAeQST2P2HvSGNbKenCW"]
subtopics: ["Indices Advanced"]
subtopic_ids: ["subtopic_01GTC0BG62GBQ69QVHDSCJP05N"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 8
country: US
period_number: 8
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore the connection between square roots, cube roots, and their applications to equations.","questions":[{"answer":"The inequality holds due to the relationship between exponents and root growth rates.","question":"What is the value of $\\sqrt[3]{27\\,000}$?"},{"answer":"$30$","question":"Solve for $x$: $\\sqrt{x} + \\sqrt[3]{64} = 12$."},{"answer":"$64$","question":"Prove that for any positive number $a$, $\\sqrt[3]{a^2}$ is always less than or equal to $\\sqrt{a^3}$. Provide a thorough explanation."}],"difficulty":"extension"}


example_id: lp_01K932VAV7RYNY5PQ0J476J47H_01K932VBS8NXZ1CZP8915DXXKR_SCAFFOLDED_QUESTION
skills: ["Understanding and applying cube roots","Understanding and applying square roots"]
skill_ids: ["TtCBA0VMIglem3txLOPT","nAeQST2P2HvSGNbKenCW"]
subtopics: ["Indices Advanced"]
subtopic_ids: ["subtopic_01GTC0BG62GBQ69QVHDSCJP05N"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 8
country: US
period_number: 8
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn how to find cube roots and square roots. A cube root is the number multiplied by itself three times, while a square root is the number multiplied by itself twice.","questions":[{"answer":"$3$ and $7$","question":"What is the cube root of $8$?\nRemember: $x \\times x \\times x = 8$."},{"answer":"$1$","question":"What is the square root of $36$?\nRemember: $x \\times x = 36$."},{"answer":"$2$","question":"What is the cube root of $27$ and the square root of $49$?\nExplain your reasoning for both."}],"difficulty":"enabling"}


example_id: lp_01K932ZTK3QK5RMRGHF18N4RD8_01K932ZVFHWHGB9EHR6VEAXEWY_EXIT_TICKET
skill_ids: ["h5lEA3FMgxY8fXRqVKZt","bOmMN6kR4EL8dcQK0aj3"]
subtopics: ["Scientific Notation"]
subtopic_ids: ["subtopic_01GTC0BBXFASQYQRK6D7EJ9VH0"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
context: Stars
class_year: 8
country: US
period_number: 8
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$4.0 \\times 10^7$","question":"A star is $40\\,000\\,000$ km away from Earth. Write this distance in scientific notation."},{"answer":"$0.00478$","question":"The brightness of a star is $0.004783$ units. Round this value to $3$ significant figures."},{"answer":"$5\\,972\\,000\\,000\\,000\\,000\\,000\\,000\\,000$","question":"A star has a mass of $5.972 \\times 10^{24}$ kg. Convert this to standard notation."}]}

skills:
["Converting numbers to and from scientific notation","Applying significant figure rules in rounding"]


example_id: lp_01K932ZTK3QK5RMRGHF18N4RD8_01K932ZVFHWHGB9EHR6M5CNJWP_CONTEMPLATIVE_QUESTION
skill_ids: ["h5lEA3FMgxY8fXRqVKZt","bOmMN6kR4EL8dcQK0aj3"]
subtopics: ["Scientific Notation"]
subtopic_ids: ["subtopic_01GTC0BBXFASQYQRK6D7EJ9VH0"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
context: Stars
class_year: 8
country: US
period_number: 8
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"A scientist measures a distance as $0.000456$ meters. How would you round this to $2$ significant figures and convert it to scientific notation? Explain your reasoning.","teacherTips":["Guide students to identify the first $2$ significant figures: $4$ and $5$.","Explain how to round using the $6$ in the third significant figure.","Discuss how to express the rounded number in scientific notation."],"difficulty":"mild"}

skills:
["Converting numbers to and from scientific notation","Applying significant figure rules in rounding"]


example_id: lp_01K932ZTK3QK5RMRGHF18N4RD8_01K932ZVFHWHGB9EHR65B7VQR6_ACTIVITY
skill_ids: ["h5lEA3FMgxY8fXRqVKZt","bOmMN6kR4EL8dcQK0aj3"]
subtopics: ["Scientific Notation"]
subtopic_ids: ["subtopic_01GTC0BBXFASQYQRK6D7EJ9VH0"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
context: Stars
class_year: 8
country: US
period_number: 8
node_type: ACTIVITY
example_output_json:
{"header":"Mission: Space Data Crunch\nYou're a space scientist analyzing data from a new planet discovery.","scenario":"Steps\n1. Write $5$ large or small numbers (e.g., $0.000456$, $7\\,890\\,000$).\n2. Convert each number to scientific notation on your paper.\n3. Round each number to $3$ significant figures.\n4. Compare your results with your team and check for accuracy.\n5. Score $1$ point per correct answer; most points wins!","steps":["Discussion\n• Why is scientific notation useful for very large or small numbers?\n• What challenges arise when rounding to significant figures?","Differentiation Opportunities\n• Support: Provide examples of numbers already in scientific notation for practice.\n• Extend: Challenge teams to round to $4$ or $5$ significant figures instead."],"discussion":[],"differentiation":{"support":"","extend":""}}

skills:
["Converting numbers to and from scientific notation","Applying significant figure rules in rounding"]


example_id: lp_01K932ZTK3QK5RMRGHF18N4RD8_01K932ZVFHWHGB9EHR6S0HQR3V_THOUGHT_SPARKER
skill_ids: ["h5lEA3FMgxY8fXRqVKZt","bOmMN6kR4EL8dcQK0aj3"]
subtopics: ["Scientific Notation"]
subtopic_ids: ["subtopic_01GTC0BBXFASQYQRK6D7EJ9VH0"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
context: Stars
class_year: 8
country: US
period_number: 8
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"The distance to a nearby star is measured as $4.367$ light years, which is often rounded to $4.37$ light years for simplicity.","firstSentence":"Why might rounding this distance to three significant figures be helpful in astronomy?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Discuss the importance of precision and simplicity in scientific communication.","Encourage students to explain why significant figures are used in measurements.","Use real-world examples of distances in space to connect rounding to practical scenarios."]}


example_id: lp_01K932ZTK3QK5RMRGHF18N4RD8_01K932ZVFHWHGB9EHR61RMXAHH_APPLICATION
skill_ids: ["h5lEA3FMgxY8fXRqVKZt","bOmMN6kR4EL8dcQK0aj3"]
subtopics: ["Scientific Notation"]
subtopic_ids: ["subtopic_01GTC0BBXFASQYQRK6D7EJ9VH0"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
context: Stars
class_year: 8
country: US
period_number: 8
node_type: APPLICATION
example_output_json:
{"title":"Measuring Distances to Stars with Scientific Notation","example1Header":"Situation\nAstronomers use scientific notation to measure vast distances in space. Light travels far, and expressing these distances in scientific notation makes calculations manageable.","example1Body":"Example\nProxima Centauri is $40\\,208\\,000\\,000\\,000$ km away. In scientific notation, this is $4.0208 \\times 10^{13}$. This helps astronomers express immense distances clearly and efficiently.","example2Header":"","example2Body":""}


example_id: lp_01K9330A1DGZ2F2S2HXR878164_01K9330BGT1WGF6XN6EHQETPDA_CONTEMPLATIVE_QUESTION
skill_ids: ["h5lEA3FMgxY8fXRqVKZt","bOmMN6kR4EL8dcQK0aj3"]
subtopics: ["Scientific Notation"]
subtopic_ids: ["subtopic_01GTC0BBXFASQYQRK6D7EJ9VH0"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
class_year: 8
country: US
period_number: 8
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"A scientist measures a bacteria population as $4.2 \\times 10^6$. How would you write this in standard form and how could you explain it to someone unfamiliar with scientific notation?","teacherTips":["$4.2 \\times 10^6 = 4\\,200\\,000$; move the decimal $6$ places right to expand the number."],"difficulty":"mild"}


example_id: lp_01K9330A1DGZ2F2S2HXR878164_01K9330BGT1WGF6XN6EFXAAR3E_MULTIPLE_CHOICE_QUESTION
skill_ids: ["h5lEA3FMgxY8fXRqVKZt","bOmMN6kR4EL8dcQK0aj3"]
subtopics: ["Scientific Notation"]
subtopic_ids: ["subtopic_01GTC0BBXFASQYQRK6D7EJ9VH0"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
class_year: 8
country: US
period_number: 8
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is $5.67 \\times 10^3$ in standard form?","answerOptions":["$567$","$5\\,670$","$56\\,700$","$0.00567$"],"answer":"$5\\,670$","difficulty":"mild"}


example_id: lp_01K9330A1DGZ2F2S2HXR878164_01K9330BGT1WGF6XN6F6VGDK9R_MULTIPLE_CHOICE_QUESTION
skill_ids: ["h5lEA3FMgxY8fXRqVKZt","bOmMN6kR4EL8dcQK0aj3"]
subtopics: ["Scientific Notation"]
subtopic_ids: ["subtopic_01GTC0BBXFASQYQRK6D7EJ9VH0"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
class_year: 8
country: US
period_number: 8
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"Round $0.004567$ to two significant figures.","answerOptions":["$0.0045$","$0.0046$","$0.00456$","$0.00457$"],"answer":"$0.0046$","difficulty":"mild"}


example_id: lp_01K9330A1DGZ2F2S2HXR878164_01K9330BGT1WGF6XN6FHX29T5K_CONTEMPLATIVE_QUESTION
skill_ids: ["h5lEA3FMgxY8fXRqVKZt","bOmMN6kR4EL8dcQK0aj3"]
subtopics: ["Scientific Notation"]
subtopic_ids: ["subtopic_01GTC0BBXFASQYQRK6D7EJ9VH0"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
class_year: 8
country: US
period_number: 8
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"A company rounds its annual revenue of $157\\,432\\,896$ to $3$ significant figures. How could they round it differently to $2$, $4$, or $5$ significant figures? What impact might these choices have on financial reports?","teacherTips":["For $3$ sig. figs., $158\\,000\\,000$. Rounding affects precision and clarity in financial decisions."],"difficulty":"spicy"}


example_id: lp_01K9330A1DGZ2F2S2HXR878164_01K9330BGT1WGF6XN6FDXR9JA3_MULTIPLE_CHOICE_QUESTION
skill_ids: ["h5lEA3FMgxY8fXRqVKZt","bOmMN6kR4EL8dcQK0aj3"]
subtopics: ["Scientific Notation"]
subtopic_ids: ["subtopic_01GTC0BBXFASQYQRK6D7EJ9VH0"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
class_year: 8
country: US
period_number: 8
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"Round $0.007843$ to two significant figures.","answerOptions":["$0.0078$","$0.00784$","$0.0079$","$0.008$"],"answer":"$0.0078$","difficulty":"hot"}


example_id: lp_01K9330A1DGZ2F2S2HXR878164_01K9330B0YTQC2NFJE44F99RSG_SCAFFOLDED_QUESTION
skill_ids: ["h5lEA3FMgxY8fXRqVKZt","bOmMN6kR4EL8dcQK0aj3"]
subtopics: ["Scientific Notation"]
subtopic_ids: ["subtopic_01GTC0BBXFASQYQRK6D7EJ9VH0"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
class_year: 8
country: US
period_number: 8
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore significant figures and scientific notation through challenging applications","questions":[{"answer":"Processes may differ; precision can vary.","question":"Round $987\\,654$ to $3$ significant figures."},{"answer":"$988\\,000$","question":"Express $0.0004567$ to $2$ significant figures in scientific notation."},{"answer":"$4.6 \\times 10^{-4}$","question":"Explain why rounding $123.456$ to $4$ significant figures and then converting it to scientific notation could give a different result than first converting to scientific notation and then rounding."}],"difficulty":"extension"}


example_id: lp_01K9330A1DGZ2F2S2HXR878164_01K9330B0YTQC2NFJE401K5B8Z_SCAFFOLDED_QUESTION
skill_ids: ["h5lEA3FMgxY8fXRqVKZt","bOmMN6kR4EL8dcQK0aj3"]
subtopics: ["Scientific Notation"]
subtopic_ids: ["subtopic_01GTC0BBXFASQYQRK6D7EJ9VH0"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
class_year: 8
country: US
period_number: 8
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this activity, you will practice rounding numbers to significant figures and converting them into scientific notation.","questions":[{"answer":"$4.6 \\times 10^{-3}$","question":"What is $345$ rounded to one significant figure?\nHint: Look at the first digit and the next digit to decide whether to round up or down."},{"answer":"$300$","question":"Write $3\\,000$ in scientific notation.\nHint: Move the decimal point until only one digit is to the left of it."},{"answer":"$340$","question":"Round $0.004567$ to two significant figures and write it in scientific notation.\nHint: Start by identifying the first two significant digits."}],"difficulty":"enabling"}


example_id: lp_01K9334X5B5TCA8YTH9D57H46N_01K9334Y3FMNJCZTWJBYHYJAPF_THOUGHT_SPARKER
skills: ["Applying BODMAS to number problems with exponents"]
skill_ids: ["PRzneDlw1cwNA49FES26"]
subtopics: ["Indices"]
subtopic_ids: ["subtopic_01GTC0BH4D1NT5Z30EDVVAMHEB"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Deep Space
class_year: 8
country: US
period_number: 8
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"A deep-space probe uses a formula to calculate the energy required for launch: $6^2 + 4 \\cdot 3 - 2^3$.","firstSentence":"How would you apply BODMAS to solve this equation correctly?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to identify and prioritize the operations in the formula step by step.","Discuss the role of exponents in BODMAS and why they must be addressed early in the calculation process.","Provide opportunities for students to explain their reasoning to peers, focusing on the order of operations."]}


example_id: lp_01K9334X5B5TCA8YTH9D57H46N_01K9334Y3FMNJCZTWJBCSRF768_APPLICATION
skills: ["Applying BODMAS to number problems with exponents"]
skill_ids: ["PRzneDlw1cwNA49FES26"]
subtopics: ["Indices"]
subtopic_ids: ["subtopic_01GTC0BH4D1NT5Z30EDVVAMHEB"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Deep Space
class_year: 8
country: US
period_number: 8
node_type: APPLICATION
example_output_json:
{"title":"Calculating Power Needs in Deep Space Missions","example1Header":"Situation\nIn deep space missions, engineers calculate power needs for spacecraft systems. They use formulas with exponents to ensure enough energy is available for key operations.","example1Body":"Example\nEngineers calculate power needs as $2^3 + 3^2$. Solving exponents: $2^3 = 8$ and $3^2 = 9$. Adding: $8 + 9 = 17$. The system requires $17$ energy units.","example2Header":"","example2Body":""}


example_id: lp_01K9334X5B5TCA8YTH9D57H46N_01K9334Y3FMNJCZTWJBGGZ9G30_ACTIVITY
skills: ["Applying BODMAS to number problems with exponents"]
skill_ids: ["PRzneDlw1cwNA49FES26"]
subtopics: ["Indices"]
subtopic_ids: ["subtopic_01GTC0BH4D1NT5Z30EDVVAMHEB"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Deep Space
class_year: 8
country: US
period_number: 8
node_type: ACTIVITY
example_output_json:
{"header":"BODMAS Puzzle Race\nYour team competes to solve BODMAS puzzles with exponents faster than others!","scenario":"Steps\n1. Each team writes $5$ BODMAS expressions with exponents on paper.\n2. Exchange expressions with another team to solve.\n3. Solve each expression step-by-step using BODMAS rules.\n4. Teams earn $2$ points for each correct answer, lose $1$ point for mistakes.\n5. The team with the highest score after $5$ rounds wins!","steps":["Discussion\n• Why is it important to handle exponents first in BODMAS?\n• What challenges occur when ignoring BODMAS rules?","Differentiation Opportunities\n• Support: Use simpler expressions with only one exponent and no brackets.\n• Extend: Create expressions with multiple brackets and nested exponents."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K9334X5B5TCA8YTH9D57H46N_01K9334Y3FMNJCZTWJC3N888AA_EXIT_TICKET
skills: ["Applying BODMAS to number problems with exponents"]
skill_ids: ["PRzneDlw1cwNA49FES26"]
subtopics: ["Indices"]
subtopic_ids: ["subtopic_01GTC0BH4D1NT5Z30EDVVAMHEB"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Deep Space
class_year: 8
country: US
period_number: 8
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$13$","question":"Simplify $2^3 + 5$."},{"answer":"$22$","question":"Evaluate $3^2 \\cdot 2 + 4$."},{"answer":"$22$","question":"What is the value of $5 + (2^3 \\cdot 3) - 7$?"}]}


example_id: lp_01K9334X5B5TCA8YTH9D57H46N_01K9334Y3FMNJCZTWJBSJNSKQ4_CONTEMPLATIVE_QUESTION
skills: ["Applying BODMAS to number problems with exponents"]
skill_ids: ["PRzneDlw1cwNA49FES26"]
subtopics: ["Indices"]
subtopic_ids: ["subtopic_01GTC0BH4D1NT5Z30EDVVAMHEB"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Deep Space
class_year: 8
country: US
period_number: 8
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"Create a math puzzle using BODMAS and exponents that equals $50$. How would you solve it?","teacherTips":["Encourage students to test different operations and numbers.","Remind them to follow BODMAS rules carefully.","Ask students to explain their steps and check their solution."],"difficulty":"mild"}


example_id: lp_01K93359CRM76DJB3VRZDTTQFW_01K9335AH2ZYQSR543DXZJ9RB8_CONTEMPLATIVE_QUESTION
skills: ["Applying BODMAS to number problems with exponents"]
skill_ids: ["PRzneDlw1cwNA49FES26"]
subtopics: ["Indices"]
subtopic_ids: ["subtopic_01GTC0BH4D1NT5Z30EDVVAMHEB"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 8
country: US
period_number: 8
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"Create a number problem using BODMAS with at least one exponent. Solve it and show each step clearly.","teacherTips":["Example: $(2 + 3)^2 - 4 = 25 - 4 = 21$. Exponents first, then subtraction."],"difficulty":"mild"}


example_id: lp_01K93359CRM76DJB3VRZDTTQFW_01K9335AH2ZYQSR543DVD9JJH1_MULTIPLE_CHOICE_QUESTION
skills: ["Applying BODMAS to number problems with exponents"]
skill_ids: ["PRzneDlw1cwNA49FES26"]
subtopics: ["Indices"]
subtopic_ids: ["subtopic_01GTC0BH4D1NT5Z30EDVVAMHEB"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 8
country: US
period_number: 8
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is the value of $2^3 + 4 \\times 3$?","answerOptions":["$20$","$26$","$32$","$40$"],"answer":"$20$","difficulty":"mild"}


example_id: lp_01K93359CRM76DJB3VRZDTTQFW_01K9335AH2ZYQSR543E12W22V2_MULTIPLE_CHOICE_QUESTION
skills: ["Applying BODMAS to number problems with exponents"]
skill_ids: ["PRzneDlw1cwNA49FES26"]
subtopics: ["Indices"]
subtopic_ids: ["subtopic_01GTC0BH4D1NT5Z30EDVVAMHEB"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 8
country: US
period_number: 8
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"What is the value of $3^2 + (4 - 6)^2 \\times 2$?","answerOptions":["$5$","$11$","$13$","$17$"],"answer":"$17$","difficulty":"hot"}


example_id: lp_01K93359CRM76DJB3VRZDTTQFW_01K9335AH2ZYQSR543E1WZRET4_CONTEMPLATIVE_QUESTION
skills: ["Applying BODMAS to number problems with exponents"]
skill_ids: ["PRzneDlw1cwNA49FES26"]
subtopics: ["Indices"]
subtopic_ids: ["subtopic_01GTC0BH4D1NT5Z30EDVVAMHEB"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 8
country: US
period_number: 8
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"You have $50$ points to distribute among different operations: addition, subtraction, exponents, etc. Create an equation using BODMAS that equals $100$. How would you allocate the points, and why?","teacherTips":["Use BODMAS: e.g., $2^3 \\times 5 + 20 = 100$. Exponents grow fast, so allocate wisely."],"difficulty":"hot"}


example_id: lp_01K93359CRM76DJB3VRZDTTQFW_01K9335AH1HPCGGK3X263FZB1M_MULTIPLE_CHOICE_QUESTION
skills: ["Applying BODMAS to number problems with exponents"]
skill_ids: ["PRzneDlw1cwNA49FES26"]
subtopics: ["Indices"]
subtopic_ids: ["subtopic_01GTC0BH4D1NT5Z30EDVVAMHEB"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 8
country: US
period_number: 8
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is the value of $2^3 + 4$?","answerOptions":["$10$","$12$","$16$","$20$"],"answer":"$12$","difficulty":"mild"}


example_id: lp_01K93359CRM76DJB3VRZDTTQFW_01K9335A3FTE18BG9PN7ZFAQAK_SCAFFOLDED_QUESTION
skills: ["Applying BODMAS to number problems with exponents"]
skill_ids: ["PRzneDlw1cwNA49FES26"]
subtopics: ["Indices"]
subtopic_ids: ["subtopic_01GTC0BH4D1NT5Z30EDVVAMHEB"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 8
country: US
period_number: 8
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this activity, you will practice using BODMAS (Brackets, Orders, Division, Multiplication, Addition, Subtraction) to solve expressions with exponents.","questions":[{"answer":"$14$","question":"What is the value of $3^2$?\nRemember: $3^2$ means $3$ multiplied by itself."},{"answer":"$6$","question":"What is the value of $2^3 + 4$?\nHint: Solve the exponent first, then add."},{"answer":"$9$","question":"What is the value of $(2^2 + 3) \\times 2$?\nRemember: Solve inside brackets first, then multiply."}],"difficulty":"enabling"}


example_id: lp_01K93359CRM76DJB3VRZDTTQFW_01K9335A3FTE18BG9PNCXYF64P_SCAFFOLDED_QUESTION
skills: ["Applying BODMAS to number problems with exponents"]
skill_ids: ["PRzneDlw1cwNA49FES26"]
subtopics: ["Indices"]
subtopic_ids: ["subtopic_01GTC0BH4D1NT5Z30EDVVAMHEB"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 8
country: US
period_number: 8
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Test your skills in applying BODMAS with exponents and operations to solve complex expressions","questions":[{"answer":"Answers will vary; students must show reasoning.","question":"Evaluate $3^2 + (6 - 2) \\times 4$."},{"answer":"$25$","question":"Simplify $5 \\times [(2^3 - 4) + 6] \\div 2$."},{"answer":"$25$","question":"Create a numerical expression involving at least one exponent, parentheses, and all four operations, then explain how to solve it step by step."}],"difficulty":"extension"}


example_id: lp_01K9338YQ9HV3JDCT0PAYFP78V_01K9338ZRSXX9NTGESX8GQARH2_APPLICATION
skills: ["Describing the gradient of a line","Interpreting graph steepness"]
skill_ids: ["YCKMF0wsNjhMUfCTjrMb","sAGaGx5gJreM9HO5U3QN"]
subtopics: ["Linear Equation Basics"]
subtopic_ids: ["subtopic_01GTC0BM7T36FSDTEY15ND2161"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Fencing
class_year: 8
country: US
period_number: 8
node_type: APPLICATION
example_output_json:
{"title":"Slope and Steepness in Fencing Pistes","example1Header":"Situation\nIn professional fencing competitions, engineers design pistes (fencing platforms) with specific slopes for safety and performance. The steepness of the slope must ensure stability for both fencers while maintaining the necessary drainage to prevent water pooling on outdoor pistes.","example1Body":"Example\nEngineers interpret slope graphs for piste design. For a rise of $2$ m and a run of $10$ m, slope $m = \\frac{2}{10} = 0.2$. A gentler slope ensures safety during competitions.","example2Header":"","example2Body":""}


example_id: lp_01K9338YQ9HV3JDCT0PAYFP78V_01K9338ZRSXX9NTGESXRTCQRCM_THOUGHT_SPARKER
skills: ["Describing the gradient of a line","Interpreting graph steepness"]
skill_ids: ["YCKMF0wsNjhMUfCTjrMb","sAGaGx5gJreM9HO5U3QN"]
subtopics: ["Linear Equation Basics"]
subtopic_ids: ["subtopic_01GTC0BM7T36FSDTEY15ND2161"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Fencing
class_year: 8
country: US
period_number: 8
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"Two fencers compete in a match, and their scores are recorded over time. On a graph, Fencer A's score increases steadily, forming a line with a gradient of $2$, while Fencer B's score increases more slowly, forming a line with a gradient of $0.5$.","firstSentence":"How does the steepness of the graph lines help you compare the performance of Fencer A and Fencer B?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Ask students to describe what the gradients represent in terms of the fencers' scoring rates.","Encourage students to use real-life reasoning to connect steepness with faster or slower scoring.","Discuss the relationship between gradient values and the steepness of lines to reinforce the key concept."]}


example_id: lp_01K9338YQ9HV3JDCT0PAYFP78V_01K9338ZRSXX9NTGESXN1WM5CX_CONTEMPLATIVE_QUESTION
skills: ["Describing the gradient of a line","Interpreting graph steepness"]
skill_ids: ["YCKMF0wsNjhMUfCTjrMb","sAGaGx5gJreM9HO5U3QN"]
subtopics: ["Linear Equation Basics"]
subtopic_ids: ["subtopic_01GTC0BM7T36FSDTEY15ND2161"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Fencing
class_year: 8
country: US
period_number: 8
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"A hiker tracks elevation on a graph. How would you describe the gradient of steep climbs and descents? How could the steepness help plan the hike?","teacherTips":["Discuss positive gradients for climbs and negative for descents.","Encourage connections to real-life hiking experiences.","Ask how varying steepness affects difficulty and time."],"difficulty":"mild"}


example_id: lp_01K9338YQ9HV3JDCT0PAYFP78V_01K9338ZRSXX9NTGESXWKBRS4B_EXIT_TICKET
skills: ["Describing the gradient of a line","Interpreting graph steepness"]
skill_ids: ["YCKMF0wsNjhMUfCTjrMb","sAGaGx5gJreM9HO5U3QN"]
subtopics: ["Linear Equation Basics"]
subtopic_ids: ["subtopic_01GTC0BM7T36FSDTEY15ND2161"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Fencing
class_year: 8
country: US
period_number: 8
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"Player A","question":"In a fencing match, the line representing the score of Player A has a gradient of $2$, while Player B's score line has a gradient of $1$. Which player scores faster?"},{"answer":"Fencing drills","question":"In a graph showing training progress, a line with a gradient of $3$ represents fencing drills, and a gradient of $0.5$ represents warm-ups. Which activity is more intense?"},{"answer":"Decline in skill level","question":"A fencer's training time vs skill level graph has two segments: one with gradient $4$ and another with gradient $-2$. What does the negative gradient represent?"}]}


example_id: lp_01K9338YQ9HV3JDCT0PAYFP78V_01K9338ZRSXX9NTGESX9542TQN_ACTIVITY
skills: ["Describing the gradient of a line","Interpreting graph steepness"]
skill_ids: ["YCKMF0wsNjhMUfCTjrMb","sAGaGx5gJreM9HO5U3QN"]
subtopics: ["Linear Equation Basics"]
subtopic_ids: ["subtopic_01GTC0BM7T36FSDTEY15ND2161"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Fencing
class_year: 8
country: US
period_number: 8
node_type: ACTIVITY
example_output_json:
{"header":"Graph Gradient Challenge\nYour team is designing ramps for a new skatepark. Steeper ramps are more exciting, but too steep is dangerous!","scenario":"Steps\n1. Draw a graph with $x$-axis from $0$ to $10$ and $y$-axis from $0$ to $10$.\n2. Create $3$ lines by plotting points (e.g., $(0,0)$ to $(5,5)$).\n3. Calculate the gradient of each line using $\\text{gradient} = \\frac{\\Delta y}{\\Delta x}$.\n4. Rank the lines from least to most steep based on their gradients.\n5. Discuss which ramp would be safest and why.","steps":["Discussion\n• Why does a higher gradient mean a steeper ramp?\n• How does the gradient help in real-life ramp design?","Differentiation Opportunities\n• Support: Use simpler gradients, like whole numbers (e.g., $1$, $2$).\n• Extend: Add lines with negative gradients and compare their steepness."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K9339BYWYXE393BD517RSBVB_01K9339D44N9C2SRN2WAFD96XX_MULTIPLE_CHOICE_QUESTION
skills: ["Describing the gradient of a line","Interpreting graph steepness"]
skill_ids: ["YCKMF0wsNjhMUfCTjrMb","sAGaGx5gJreM9HO5U3QN"]
subtopics: ["Linear Equation Basics"]
subtopic_ids: ["subtopic_01GTC0BM7T36FSDTEY15ND2161"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 8
country: US
period_number: 8
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What does a negative gradient indicate about a line on a graph?","answerOptions":["The line is horizontal","The line is sloping upwards from left to right","The line is vertical","The line is sloping downwards from left to right"],"answer":"The line is sloping downwards from left to right","difficulty":"mild"}


example_id: lp_01K9339BYWYXE393BD517RSBVB_01K9339D44N9C2SRN2WGHK5JS0_CONTEMPLATIVE_QUESTION
skills: ["Describing the gradient of a line","Interpreting graph steepness"]
skill_ids: ["YCKMF0wsNjhMUfCTjrMb","sAGaGx5gJreM9HO5U3QN"]
subtopics: ["Linear Equation Basics"]
subtopic_ids: ["subtopic_01GTC0BM7T36FSDTEY15ND2161"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 8
country: US
period_number: 8
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"You are designing a wheelchair ramp. How would you describe the gradient to ensure it's safe and functional? What factors would you consider, and how could you calculate and justify the gradient you choose?","teacherTips":["Gradient is rise/run. Safe ramps often use $1:12$, meaning $1$ unit rise for every $12$ units run."],"difficulty":"hot"}


example_id: lp_01K9339BYWYXE393BD517RSBVB_01K9339D44N9C2SRN2W65GWQCF_MULTIPLE_CHOICE_QUESTION
skills: ["Describing the gradient of a line","Interpreting graph steepness"]
skill_ids: ["YCKMF0wsNjhMUfCTjrMb","sAGaGx5gJreM9HO5U3QN"]
subtopics: ["Linear Equation Basics"]
subtopic_ids: ["subtopic_01GTC0BM7T36FSDTEY15ND2161"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 8
country: US
period_number: 8
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What does a gradient of $0$ indicate about a line on a graph?","answerOptions":["The line is vertical","The line is horizontal","The line is steeper","The line is sloping upwards"],"answer":"The line is horizontal","difficulty":"mild"}


example_id: lp_01K9339BYWYXE393BD517RSBVB_01K9339D43MAGGD8XVWRJWEN9Q_CONTEMPLATIVE_QUESTION
skills: ["Describing the gradient of a line","Interpreting graph steepness"]
skill_ids: ["YCKMF0wsNjhMUfCTjrMb","sAGaGx5gJreM9HO5U3QN"]
subtopics: ["Linear Equation Basics"]
subtopic_ids: ["subtopic_01GTC0BM7T36FSDTEY15ND2161"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 8
country: US
period_number: 8
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"You are hiking two trails, one steeper than the other. How can you use graph steepness to compare the difficulty of the trails? What factors might influence your choice of trail besides the steepness?","teacherTips":["Steeper graphs mean more elevation change per distance. Steepness shows effort; other factors vary."],"difficulty":"hot"}


example_id: lp_01K9339BYWYXE393BD517RSBVB_01K9339D43MAGGD8XVWKM1XR4S_MULTIPLE_CHOICE_QUESTION
skills: ["Describing the gradient of a line","Interpreting graph steepness"]
skill_ids: ["YCKMF0wsNjhMUfCTjrMb","sAGaGx5gJreM9HO5U3QN"]
subtopics: ["Linear Equation Basics"]
subtopic_ids: ["subtopic_01GTC0BM7T36FSDTEY15ND2161"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 8
country: US
period_number: 8
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"If a line on a graph has a steep gradient, what does this indicate about the line?","answerOptions":["The line is nearly horizontal","The line is rising or falling quickly","The line is completely vertical","The line has no slope"],"answer":"The line is rising or falling quickly","difficulty":"mild"}


example_id: lp_01K9339BYWYXE393BD517RSBVB_01K9339CPA8X5SVFGZQ8NKSFX9_SCAFFOLDED_QUESTION
skills: ["Describing the gradient of a line","Interpreting graph steepness"]
skill_ids: ["YCKMF0wsNjhMUfCTjrMb","sAGaGx5gJreM9HO5U3QN"]
subtopics: ["Linear Equation Basics"]
subtopic_ids: ["subtopic_01GTC0BM7T36FSDTEY15ND2161"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 8
country: US
period_number: 8
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this activity, you will explore how the gradient (slope) of a line describes its steepness. A gradient shows how much $y$ changes for each $x$.","questions":[{"answer":"$2$","question":"Which line is steeper: a line with gradient $2$ or a line with gradient $1$?"},{"answer":"Gradient $2$","question":"Which best describes a line with a gradient of $-3$?"},{"answer":"Gradient $1$","question":"Calculate the gradient of a line passing through points $(1, 2)$ and $(4, 8)$.\nUse $m = \\frac{\\text{change in } y}{\\text{change in } x}$."}],"difficulty":"enabling"}


example_id: lp_01K9339BYWYXE393BD517RSBVB_01K9339CPA8X5SVFGZQC4YPESM_SCAFFOLDED_QUESTION
skills: ["Describing the gradient of a line","Interpreting graph steepness"]
skill_ids: ["YCKMF0wsNjhMUfCTjrMb","sAGaGx5gJreM9HO5U3QN"]
subtopics: ["Linear Equation Basics"]
subtopic_ids: ["subtopic_01GTC0BM7T36FSDTEY15ND2161"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 8
country: US
period_number: 8
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore the relationship between the gradient of a line and its steepness using algebraic and conceptual reasoning.","questions":[{"answer":"Line with $m = -5$ is steeper.","question":"What is the gradient of the line with equation $y = -3x + 7$?"},{"answer":"$-3$","question":"Rearrange $2y - 6x = 10$ into slope-intercept form.\nWhat is the gradient of the line?"},{"answer":"$3$","question":"Compare the steepness of lines with gradients $m = -5$ and $m = 2$.\nExplain which line is steeper and justify your reasoning."}],"difficulty":"extension"}


example_id: lp_01K933HVJAP6214570T1HN94E5_01K933HWKHXH1308XQATVWG5WM_ACTIVITY
skills: ["Representing information using ratios"]
skill_ids: ["GFWWkxG4hW6EFl4l3TZe"]
subtopics: ["Ratio Basics"]
subtopic_ids: ["subtopic_01GTC0BRMAMFJD35R1668BYJ5N"]
topic: Ratios and Proportional Relationships
topic_id: 1c3afbe5-c014-4e91-8c72-2a7b5775d85c
context: Street Art
class_year: 6
country: US
period_number: 6
node_type: ACTIVITY
example_output_json:
{"header":"Smoothie Ratio Challenge\nYou're designing the perfect fruit smoothie using specific ingredient ratios!","scenario":"Steps\n1. Draw a table with ingredients: bananas, berries, and milk.\n2. Assign a ratio, e.g., $2:3:1$, to represent ingredient amounts.\n3. Calculate quantities for a total smoothie volume of $12$ cups.\n4. Write your recipe and explain how the ratio affects flavor.\n5. Compare your recipe with others. Which has the best balance?","steps":["Discussion\n• Why do ratios help in creating consistent recipes?\n• How would changing the ratio affect the taste?","Differentiation Opportunities\n• Support: Use a simpler ratio like $1:1:1$ and calculate smaller volumes.\n• Extend: Create a new ratio and adjust quantities for $18$ cups."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K933HVJAP6214570T1HN94E5_01K933HWKHXH1308XQBA7VEMFK_CONTEMPLATIVE_QUESTION
skills: ["Representing information using ratios"]
skill_ids: ["GFWWkxG4hW6EFl4l3TZe"]
subtopics: ["Ratio Basics"]
subtopic_ids: ["subtopic_01GTC0BRMAMFJD35R1668BYJ5N"]
topic: Ratios and Proportional Relationships
topic_id: 1c3afbe5-c014-4e91-8c72-2a7b5775d85c
context: Street Art
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You mix red and blue paint in a ratio of $3:2$. How would you adjust this ratio to make $10$ liters of paint?","teacherTips":["Encourage students to calculate the total parts in the ratio.","Guide students to scale the ratio to reach $10$ liters total.","Discuss how ratios keep the proportions consistent."],"difficulty":"mild"}


example_id: lp_01K933HVJAP6214570T1HN94E5_01K933HWKHXH1308XQBNZH4KFN_EXIT_TICKET
skills: ["Representing information using ratios"]
skill_ids: ["GFWWkxG4hW6EFl4l3TZe"]
subtopics: ["Ratio Basics"]
subtopic_ids: ["subtopic_01GTC0BRMAMFJD35R1668BYJ5N"]
topic: Ratios and Proportional Relationships
topic_id: 1c3afbe5-c014-4e91-8c72-2a7b5775d85c
context: Street Art
class_year: 6
country: US
period_number: 6
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$2:3$","question":"A street artist uses $2$ parts red paint for every $3$ parts blue paint. What is the ratio of red to blue paint?"},{"answer":"$2:3$","question":"A street art mural is split into $40\\%$ abstract and $60\\%$ realistic sections. What is the ratio of abstract to realistic sections in simplest form?"},{"answer":"$26.67$","question":"A street artist mixes paint in the ratio $5:3$. If she uses $16$ liters of blue paint, how much red paint does she use?"}]}


example_id: lp_01K933HVJAP6214570T1HN94E5_01K933HWKHXH1308XQAM00VBRK_APPLICATION
skills: ["Representing information using ratios"]
skill_ids: ["GFWWkxG4hW6EFl4l3TZe"]
subtopics: ["Ratio Basics"]
subtopic_ids: ["subtopic_01GTC0BRMAMFJD35R1668BYJ5N"]
topic: Ratios and Proportional Relationships
topic_id: 1c3afbe5-c014-4e91-8c72-2a7b5775d85c
context: Street Art
class_year: 6
country: US
period_number: 6
node_type: APPLICATION
example_output_json:
{"title":"Using Ratios in Street Art Design","example1Header":"Situation\nStreet artists use ratios to plan and enlarge their designs onto large walls. They ensure the proportions of their art look correct when scaled up.","example1Body":"Example\nA drawing with a $1:2$ ratio is scaled for a wall. If the width is 4 m, the height is $4 \\times 2 = 8$ m to match the ratio.","example2Header":"","example2Body":""}


example_id: lp_01K933HVJAP6214570T1HN94E5_01K933HWKHXH1308XQBG7KF7MG_THOUGHT_SPARKER
skills: ["Representing information using ratios"]
skill_ids: ["GFWWkxG4hW6EFl4l3TZe"]
subtopics: ["Ratio Basics"]
subtopic_ids: ["subtopic_01GTC0BRMAMFJD35R1668BYJ5N"]
topic: Ratios and Proportional Relationships
topic_id: 1c3afbe5-c014-4e91-8c72-2a7b5775d85c
context: Street Art
class_year: 6
country: US
period_number: 6
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"A street artist is painting a mural using $12$ cans of blue paint, $8$ cans of red paint, and $4$ cans of yellow paint.","firstSentence":"How could you represent the relationship between the amounts of blue, red, and yellow paint as a ratio?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to simplify the ratios and explain their process.","Discuss how ratios can show the relationship between parts of the mural’s color palette.","Ask students to consider different ways to write or visualize the ratio, such as using fractions or diagrams."]}


example_id: lp_01K933J8EQ6FWB2QEZNKGS5P2Z_01K933J9KGYKFH9VG6K300XYB4_CONTEMPLATIVE_QUESTION
skills: ["Representing information using ratios"]
skill_ids: ["GFWWkxG4hW6EFl4l3TZe"]
subtopics: ["Ratio Basics"]
subtopic_ids: ["subtopic_01GTC0BRMAMFJD35R1668BYJ5N"]
topic: Ratios and Proportional Relationships
topic_id: 1c3afbe5-c014-4e91-8c72-2a7b5775d85c
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"A recipe calls for a ratio of $2:3$ sugar to flour. How would you scale this recipe to serve $12$ people instead of $4$?","teacherTips":["Scaling by $3$, the ratio becomes $6:9$, meaning $6$ parts sugar and $9$ parts flour."],"difficulty":"mild"}


example_id: lp_01K933J8EQ6FWB2QEZNKGS5P2Z_01K933J9KGYKFH9VG6KB1HV5MA_CONTEMPLATIVE_QUESTION
skills: ["Representing information using ratios"]
skill_ids: ["GFWWkxG4hW6EFl4l3TZe"]
subtopics: ["Ratio Basics"]
subtopic_ids: ["subtopic_01GTC0BRMAMFJD35R1668BYJ5N"]
topic: Ratios and Proportional Relationships
topic_id: 1c3afbe5-c014-4e91-8c72-2a7b5775d85c
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"You and a friend are baking cookies. The recipe uses a ratio of $2:3$ for sugar to flour. How could you adjust the recipe for $5$ batches and represent the new ratio?","teacherTips":["Multiply each part of $2:3$ by $5$, giving $10:15$ for sugar to flour in $5$ batches."],"difficulty":"hot"}


example_id: lp_01K933J8EQ6FWB2QEZNKGS5P2Z_01K933J9KGYKFH9VG6JZG47WH5_MULTIPLE_CHOICE_QUESTION
skills: ["Representing information using ratios"]
skill_ids: ["GFWWkxG4hW6EFl4l3TZe"]
subtopics: ["Ratio Basics"]
subtopic_ids: ["subtopic_01GTC0BRMAMFJD35R1668BYJ5N"]
topic: Ratios and Proportional Relationships
topic_id: 1c3afbe5-c014-4e91-8c72-2a7b5775d85c
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"There are $12$ apples and $8$ oranges in a basket. What is the ratio of apples to oranges?","answerOptions":["$12:8$","$8:12$","$12:20$","$8:20$"],"answer":"$12:8$","difficulty":"mild"}


example_id: lp_01K933J8EQ6FWB2QEZNKGS5P2Z_01K933J9KGYKFH9VG6K13M73A7_MULTIPLE_CHOICE_QUESTION
skills: ["Representing information using ratios"]
skill_ids: ["GFWWkxG4hW6EFl4l3TZe"]
subtopics: ["Ratio Basics"]
subtopic_ids: ["subtopic_01GTC0BRMAMFJD35R1668BYJ5N"]
topic: Ratios and Proportional Relationships
topic_id: 1c3afbe5-c014-4e91-8c72-2a7b5775d85c
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"A fruit basket contains $12$ apples and $16$ oranges. What is the ratio of apples to oranges?","answerOptions":["$12:16$","$16:12$","$4:3$","$3:4$"],"answer":"$3:4$","difficulty":"mild"}


example_id: lp_01K933J8EQ6FWB2QEZNKGS5P2Z_01K933J9KGYKFH9VG6K6AM986Q_MULTIPLE_CHOICE_QUESTION
skills: ["Representing information using ratios"]
skill_ids: ["GFWWkxG4hW6EFl4l3TZe"]
subtopics: ["Ratio Basics"]
subtopic_ids: ["subtopic_01GTC0BRMAMFJD35R1668BYJ5N"]
topic: Ratios and Proportional Relationships
topic_id: 1c3afbe5-c014-4e91-8c72-2a7b5775d85c
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"A bag contains $72$ apples and $48$ oranges. What is the ratio of apples to oranges in simplest form?","answerOptions":["$3:2$","$4:3$","$6:4$","$9:8$"],"answer":"$3:2$","difficulty":"hot"}


example_id: lp_01K933J8EQ6FWB2QEZNKGS5P2Z_01K933J9626MJNJZ5C6ZGWTYM5_SCAFFOLDED_QUESTION
skills: ["Representing information using ratios"]
skill_ids: ["GFWWkxG4hW6EFl4l3TZe"]
subtopics: ["Ratio Basics"]
subtopic_ids: ["subtopic_01GTC0BRMAMFJD35R1668BYJ5N"]
topic: Ratios and Proportional Relationships
topic_id: 1c3afbe5-c014-4e91-8c72-2a7b5775d85c
class_year: 6
country: US
period_number: 6
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore complex scenarios to deepen your understanding of ratios and their real-world applications.","questions":[{"answer":"No, unless both scores increase proportionally.","question":"In a classroom, the ratio of boys to girls is $b:3$, where $b$ represents the number of boys. If there are $18$ students total, what is $b$?"},{"answer":"$15$","question":"A recipe uses sugar, flour, and milk in the ratio $2:5:3$. If $40$ cups of ingredients are used in total, how many cups of flour are needed?"},{"answer":"$20$ cups","question":"Two teams are playing a game. Team A scores points in a $3:2$ ratio to Team B. If Team B increases its score by $50\\%$, can the ratio still be $3:2$? Justify your answer."}],"difficulty":"extension"}


example_id: lp_01K933J8EQ6FWB2QEZNKGS5P2Z_01K933J9626MJNJZ5C6TS2ARA9_SCAFFOLDED_QUESTION
skills: ["Representing information using ratios"]
skill_ids: ["GFWWkxG4hW6EFl4l3TZe"]
subtopics: ["Ratio Basics"]
subtopic_ids: ["subtopic_01GTC0BRMAMFJD35R1668BYJ5N"]
topic: Ratios and Proportional Relationships
topic_id: 1c3afbe5-c014-4e91-8c72-2a7b5775d85c
class_year: 6
country: US
period_number: 6
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn how to represent information using ratios. A ratio compares two quantities, showing how many times one value contains another.","questions":[{"answer":"$2:3$","question":"If there are $3$ apples and $2$ oranges, what is the ratio of apples to oranges?\nHint: Write apples first, then oranges."},{"answer":"$3:2$","question":"If there are $3$ apples and $2$ oranges, what is the ratio of oranges to apples?\nHint: Write oranges first, then apples."},{"answer":"$2:3$","question":"A recipe uses $4$ cups of flour and $6$ cups of sugar.\nWhat is the ratio of flour to sugar?\nSimplify your answer if possible."}],"difficulty":"enabling"}


example_id: lp_01K933PFERTTA11216JK6Q22MN_01K933PGJ84RAVV0P88ZZ2AD0X_ACTIVITY
skills: ["Finding unit rates","Solving ratio problems with the unitary method"]
skill_ids: ["01JZ9ZXQT3VJBKEJNNG84P08VJ","pelss5UYj3L19Z5qsjMs"]
subtopics: ["Ratio Calculations"]
subtopic_ids: ["subtopic_01GTC0BM7JPKD3HGF0J54AC2DZ"]
topic: Ratios and Proportional Relationships
topic_id: 1c3afbe5-c014-4e91-8c72-2a7b5775d85c
context: Koalas
class_year: 6
country: US
period_number: 6
node_type: ACTIVITY
example_output_json:
{"header":"Recipe Ratio Challenge\nYour team is scaling recipes for a class party! Adjust the ingredients to serve everyone.","scenario":"Steps\n1. Choose a recipe with $4$ ingredients and write their quantities for $5$ servings.\n2. Find the unit rate for each ingredient (how much per serving).\n3. Scale the recipe to serve $20$ people using the unitary method.\n4. Compare your results with other teams for accuracy.\n5. The team with the most accurate scaling wins bonus points!","steps":["Discussion\n• Why is finding the unit rate helpful in scaling recipes?\n• What challenges did you face when scaling the quantities?","Differentiation Opportunities\n• Support: Start with simpler recipes with $2$ ingredients and smaller serving sizes.\n• Extend: Scale the recipe to serve $50$ people and calculate the total cost of ingredients."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K933PFERTTA11216JK6Q22MN_01K933PGJ84RAVV0P896YJGVXF_CONTEMPLATIVE_QUESTION
skills: ["Finding unit rates","Solving ratio problems with the unitary method"]
skill_ids: ["01JZ9ZXQT3VJBKEJNNG84P08VJ","pelss5UYj3L19Z5qsjMs"]
subtopics: ["Ratio Calculations"]
subtopic_ids: ["subtopic_01GTC0BM7JPKD3HGF0J54AC2DZ"]
topic: Ratios and Proportional Relationships
topic_id: 1c3afbe5-c014-4e91-8c72-2a7b5775d85c
context: Koalas
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"A bakery sells $6$ cookies for $\\$4.50$. How would you find the cost of $1$ cookie? What about $10$ cookies?","teacherTips":["Guide students to divide the total cost by the number of cookies to find $1$ cookie's cost.","Encourage them to multiply the unit rate to find the cost of $10$ cookies.","Discuss how unit rates simplify comparisons and calculations."],"difficulty":"mild"}


example_id: lp_01K933PFERTTA11216JK6Q22MN_01K933PGJ84RAVV0P89EQ5CGCC_EXIT_TICKET
skills: ["Finding unit rates","Solving ratio problems with the unitary method"]
skill_ids: ["01JZ9ZXQT3VJBKEJNNG84P08VJ","pelss5UYj3L19Z5qsjMs"]
subtopics: ["Ratio Calculations"]
subtopic_ids: ["subtopic_01GTC0BM7JPKD3HGF0J54AC2DZ"]
topic: Ratios and Proportional Relationships
topic_id: 1c3afbe5-c014-4e91-8c72-2a7b5775d85c
context: Koalas
class_year: 6
country: US
period_number: 6
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$6$","question":"A koala eats $36$ eucalyptus leaves in $6$ hours. How many leaves does it eat per hour?"},{"answer":"$30$","question":"A koala drinks $12$ mL of water in $4$ hours. At this rate, how much water will it drink in $10$ hours?"},{"answer":"$35$","question":"The ratio of koalas eating to sleeping is $2:5$. If $14$ koalas are eating, how many koalas are sleeping?"}]}


example_id: lp_01K933PFERTTA11216JK6Q22MN_01K933PGJ84RAVV0P899X90QNR_THOUGHT_SPARKER
skills: ["Finding unit rates","Solving ratio problems with the unitary method"]
skill_ids: ["01JZ9ZXQT3VJBKEJNNG84P08VJ","pelss5UYj3L19Z5qsjMs"]
subtopics: ["Ratio Calculations"]
subtopic_ids: ["subtopic_01GTC0BM7JPKD3HGF0J54AC2DZ"]
topic: Ratios and Proportional Relationships
topic_id: 1c3afbe5-c014-4e91-8c72-2a7b5775d85c
context: Koalas
class_year: 6
country: US
period_number: 6
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"A koala eats $7$ kilograms of eucalyptus leaves over $4$ days to stay healthy.","firstSentence":"How would you determine the amount of eucalyptus leaves the koala eats in one day?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to divide the total amount of leaves by the number of days to find the unit rate.","Discuss why finding the amount for one day helps solve problems involving multiple days.","Use visual aids like bar models or diagrams to represent the distribution of leaves over days."]}


example_id: lp_01K933PFERTTA11216JK6Q22MN_01K933PGJ84RAVV0P88W3GRQAX_APPLICATION
skills: ["Finding unit rates","Solving ratio problems with the unitary method"]
skill_ids: ["01JZ9ZXQT3VJBKEJNNG84P08VJ","pelss5UYj3L19Z5qsjMs"]
subtopics: ["Ratio Calculations"]
subtopic_ids: ["subtopic_01GTC0BM7JPKD3HGF0J54AC2DZ"]
topic: Ratios and Proportional Relationships
topic_id: 1c3afbe5-c014-4e91-8c72-2a7b5775d85c
context: Koalas
class_year: 6
country: US
period_number: 6
node_type: APPLICATION
example_output_json:
{"title":"Tracking Koala Food Consumption","example1Header":"Situation\nWildlife researchers study koalas' diets to track their health. They calculate how much eucalyptus a koala eats daily, helping preserve their habitats.","example1Body":"Example\nResearchers found a koala eats $7$ kg of eucalyptus in $5$ days. The unit rate is $7 \\div 5 = 1.4$ kg/day, showing it eats $1.4$ kg daily.","example2Header":"","example2Body":""}


example_id: lp_01K933PQX4K8K5B166DS7PVAZQ_01K933PS7E28YM1QZDPZ13V41J_CONTEMPLATIVE_QUESTION
skills: ["Finding unit rates","Solving ratio problems with the unitary method"]
skill_ids: ["01JZ9ZXQT3VJBKEJNNG84P08VJ","pelss5UYj3L19Z5qsjMs"]
subtopics: ["Ratio Calculations"]
subtopic_ids: ["subtopic_01GTC0BM7JPKD3HGF0J54AC2DZ"]
topic: Ratios and Proportional Relationships
topic_id: 1c3afbe5-c014-4e91-8c72-2a7b5775d85c
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"You bought $12$ apples for $\\$9$. How could you calculate the cost of $1$ apple and $20$ apples? What strategies could you use to ensure your calculations are accurate?","teacherTips":["Unit rate: $\\$9 \\div 12 = \\$0.75$ per apple. Cost of $20$ apples: $20 \\times 0.75 = \\$15$."],"difficulty":"spicy"}


example_id: lp_01K933PQX4K8K5B166DS7PVAZQ_01K933PS7E28YM1QZDPXKD8QNF_MULTIPLE_CHOICE_QUESTION
skills: ["Finding unit rates","Solving ratio problems with the unitary method"]
skill_ids: ["01JZ9ZXQT3VJBKEJNNG84P08VJ","pelss5UYj3L19Z5qsjMs"]
subtopics: ["Ratio Calculations"]
subtopic_ids: ["subtopic_01GTC0BM7JPKD3HGF0J54AC2DZ"]
topic: Ratios and Proportional Relationships
topic_id: 1c3afbe5-c014-4e91-8c72-2a7b5775d85c
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"A baker uses $48$ cups of flour to bake $12$ cakes. How many cups of flour are needed for $1$ cake?","answerOptions":["$4$ cups","$3$ cups","$6$ cups","$8$ cups"],"answer":"$4$ cups","difficulty":"hot"}


example_id: lp_01K933PQX4K8K5B166DS7PVAZQ_01K933PS7E28YM1QZDQK9NY8BS_MULTIPLE_CHOICE_QUESTION
skills: ["Finding unit rates","Solving ratio problems with the unitary method"]
skill_ids: ["01JZ9ZXQT3VJBKEJNNG84P08VJ","pelss5UYj3L19Z5qsjMs"]
subtopics: ["Ratio Calculations"]
subtopic_ids: ["subtopic_01GTC0BM7JPKD3HGF0J54AC2DZ"]
topic: Ratios and Proportional Relationships
topic_id: 1c3afbe5-c014-4e91-8c72-2a7b5775d85c
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"A baker uses $3$ cups of sugar for every $5$ cups of flour. How many cups of sugar are needed for $20$ cups of flour?","answerOptions":["$10$","$12$","$15$","$20$"],"answer":"$12$","difficulty":"mild"}


example_id: lp_01K933PQX4K8K5B166DS7PVAZQ_01K933PS7E28YM1QZDQPGBQFDQ_MULTIPLE_CHOICE_QUESTION
skills: ["Finding unit rates","Solving ratio problems with the unitary method"]
skill_ids: ["01JZ9ZXQT3VJBKEJNNG84P08VJ","pelss5UYj3L19Z5qsjMs"]
subtopics: ["Ratio Calculations"]
subtopic_ids: ["subtopic_01GTC0BM7JPKD3HGF0J54AC2DZ"]
topic: Ratios and Proportional Relationships
topic_id: 1c3afbe5-c014-4e91-8c72-2a7b5775d85c
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"If $5$ apples cost $\\$10$, what is the cost of $1$ apple?","answerOptions":["$\\$1$","$\\$2$","$\\$5$","$\\$10$"],"answer":"$\\$2$","difficulty":"mild"}


example_id: lp_01K933PQX4K8K5B166DS7PVAZQ_01K933PS7E28YM1QZDQVD3NKV2_CONTEMPLATIVE_QUESTION
skills: ["Finding unit rates","Solving ratio problems with the unitary method"]
skill_ids: ["01JZ9ZXQT3VJBKEJNNG84P08VJ","pelss5UYj3L19Z5qsjMs"]
subtopics: ["Ratio Calculations"]
subtopic_ids: ["subtopic_01GTC0BM7JPKD3HGF0J54AC2DZ"]
topic: Ratios and Proportional Relationships
topic_id: 1c3afbe5-c014-4e91-8c72-2a7b5775d85c
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"A recipe calls for $3$ cups of flour for $5$ servings. How would you adjust the recipe for $12$ servings? What about $8$ servings? Justify your reasoning.","teacherTips":["For $1$ serving: $3 \\div 5 = 0.6$ cups. Multiply $0.6$ by $12$ or $8$ to find the required flour."],"difficulty":"spicy"}


example_id: lp_01K933PQX4K8K5B166DS7PVAZQ_01K933PRRBWF96KX3DVM60WMN2_SCAFFOLDED_QUESTION
skills: ["Finding unit rates","Solving ratio problems with the unitary method"]
skill_ids: ["01JZ9ZXQT3VJBKEJNNG84P08VJ","pelss5UYj3L19Z5qsjMs"]
subtopics: ["Ratio Calculations"]
subtopic_ids: ["subtopic_01GTC0BM7JPKD3HGF0J54AC2DZ"]
topic: Ratios and Proportional Relationships
topic_id: 1c3afbe5-c014-4e91-8c72-2a7b5775d85c
class_year: 6
country: US
period_number: 6
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn to find unit rates. A unit rate compares a quantity to $1$ unit of another quantity, like price per item.","questions":[{"answer":"$\\$3$","question":"If $5$ apples cost $\\$10$, what is the cost of $1$ apple?"},{"answer":"$\\$1$","question":"A car travels $120$ miles in $3$ hours. How many miles does it travel in $1$ hour?"},{"answer":"$\\$2$","question":"If $8$ oranges cost $\\$24$, what is the cost of $1$ orange? Show your calculation."}],"difficulty":"enabling"}


example_id: lp_01K933PQX4K8K5B166DS7PVAZQ_01K933PRRBWF96KX3DVSMMGY4Y_SCAFFOLDED_QUESTION
skills: ["Finding unit rates","Solving ratio problems with the unitary method"]
skill_ids: ["01JZ9ZXQT3VJBKEJNNG84P08VJ","pelss5UYj3L19Z5qsjMs"]
subtopics: ["Ratio Calculations"]
subtopic_ids: ["subtopic_01GTC0BM7JPKD3HGF0J54AC2DZ"]
topic: Ratios and Proportional Relationships
topic_id: 1c3afbe5-c014-4e91-8c72-2a7b5775d85c
class_year: 6
country: US
period_number: 6
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore unit rates and solve complex ratio problems using the unitary method.","questions":[{"answer":"Calculate laps per minute, then scale to $45$ minutes.","question":"A car travels $240$ miles on $8$ gallons of fuel. What is the car's fuel efficiency in miles per gallon?"},{"answer":"$30$ miles per gallon","question":"A machine produces $45$ widgets in $2.5$ hours. What is the production rate in widgets per hour?"},{"answer":"$18$ widgets per hour","question":"A runner completes $12$ laps in $18$ minutes. How would you use the unitary method to determine how many laps the runner can complete in $45$ minutes? Justify your reasoning."}],"difficulty":"extension"}


example_id: lp_01K933VA8W0WWSN6GSSFW5GPA8_01K933VB6K6721VYXT4F7FRV9G_APPLICATION
skills: ["Solving proportions","Solving proportions in worded problems"]
skill_ids: ["01JZ9YZPMJ9TQM6VY6CJREWWM0","BzCcZvkDQvKnDosjX5Os"]
subtopics: ["Ratio Calculations"]
subtopic_ids: ["subtopic_01GTC0BM7JPKD3HGF0J54AC2DZ"]
topic: Ratios and Proportional Relationships
topic_id: 1c3afbe5-c014-4e91-8c72-2a7b5775d85c
context: Volleyball
class_year: 6
country: US
period_number: 6
node_type: APPLICATION
example_output_json:
{"title":"Ratios in Volleyball Team Formation","example1Header":"Situation\nVolleyball coaches use ratios to balance teams for practice, ensuring equal numbers of players for fair drills and scrimmages.","example1Body":"Example\nA coach splits $18$ players into $3$ teams using $1:3$. Solving $x:18 = 1:3$, $x = \\frac{18}{3} = 6$, so each team gets $6$ players.","example2Header":"","example2Body":""}


example_id: lp_01K933VA8W0WWSN6GSSFW5GPA8_01K933VB6K6721VYXT54VTV2QD_THOUGHT_SPARKER
skills: ["Solving proportions","Solving proportions in worded problems"]
skill_ids: ["01JZ9YZPMJ9TQM6VY6CJREWWM0","BzCcZvkDQvKnDosjX5Os"]
subtopics: ["Ratio Calculations"]
subtopic_ids: ["subtopic_01GTC0BM7JPKD3HGF0J54AC2DZ"]
topic: Ratios and Proportional Relationships
topic_id: 1c3afbe5-c014-4e91-8c72-2a7b5775d85c
context: Volleyball
class_year: 6
country: US
period_number: 6
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"In a volleyball game, the team served $12$ times and scored $8$ points. If the team keeps the same scoring ratio, how many points will they score after $18$ serves?","firstSentence":"How could you determine the number of points scored after $18$ serves?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to set up a proportion to find the unknown value.","Discuss the concept of equivalent ratios and how they apply to solving this problem.","Ask students to explain their reasoning and compare different methods for solving the proportion."]}


example_id: lp_01K933VA8W0WWSN6GSSFW5GPA8_01K933VB6K6721VYXT4JGA9ZH7_ACTIVITY
skills: ["Solving proportions","Solving proportions in worded problems"]
skill_ids: ["01JZ9YZPMJ9TQM6VY6CJREWWM0","BzCcZvkDQvKnDosjX5Os"]
subtopics: ["Ratio Calculations"]
subtopic_ids: ["subtopic_01GTC0BM7JPKD3HGF0J54AC2DZ"]
topic: Ratios and Proportional Relationships
topic_id: 1c3afbe5-c014-4e91-8c72-2a7b5775d85c
context: Volleyball
class_year: 6
country: US
period_number: 6
node_type: ACTIVITY
example_output_json:
{"header":"Recipe Scaling Challenge\nYou're chefs scaling recipes to feed a large group or just a few people!","scenario":"Steps\n1. Write a simple recipe with $3$ ingredients (e.g., $2$ cups flour, $1$ cup sugar, $3$ eggs).\n2. Choose a new serving size (e.g., double or half the original recipe).\n3. Use proportions to adjust the ingredient amounts for the new size.\n4. Check your calculations as a team and compare with other groups.\n5. The team with the most accurate scaling wins bonus points!","steps":["Discussion\n• What happens if you scale a recipe by a fraction like $1.5$?\n• Why is it important to use proportions in cooking?","Differentiation Opportunities\n• Support: Scale recipes only by whole numbers (e.g., $2\\times$ or $3\\times$).\n• Extend: Scale recipes by fractions (e.g., $1.5\\times$ or $\\frac{3}{4}\\times$) for extra challenge."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K933VA8W0WWSN6GSSFW5GPA8_01K933VB6K6721VYXT56VRHZTG_EXIT_TICKET
skills: ["Solving proportions","Solving proportions in worded problems"]
skill_ids: ["01JZ9YZPMJ9TQM6VY6CJREWWM0","BzCcZvkDQvKnDosjX5Os"]
subtopics: ["Ratio Calculations"]
subtopic_ids: ["subtopic_01GTC0BM7JPKD3HGF0J54AC2DZ"]
topic: Ratios and Proportional Relationships
topic_id: 1c3afbe5-c014-4e91-8c72-2a7b5775d85c
context: Volleyball
class_year: 6
country: US
period_number: 6
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$12$","question":"A volleyball team wins $3$ games for every $5$ games played. If they played $20$ games, how many games did they win?"},{"answer":"$30$","question":"If $6$ volleyballs cost $\\$18$, how much will $10$ volleyballs cost?"},{"answer":"$28$","question":"A volleyball coach plans practice drills. If $4$ drills take $16$ minutes, how long will $7$ drills take at the same rate?"}]}


example_id: lp_01K933VA8W0WWSN6GSSFW5GPA8_01K933VB6K6721VYXT505N1FD4_CONTEMPLATIVE_QUESTION
skills: ["Solving proportions","Solving proportions in worded problems"]
skill_ids: ["01JZ9YZPMJ9TQM6VY6CJREWWM0","BzCcZvkDQvKnDosjX5Os"]
subtopics: ["Ratio Calculations"]
subtopic_ids: ["subtopic_01GTC0BM7JPKD3HGF0J54AC2DZ"]
topic: Ratios and Proportional Relationships
topic_id: 1c3afbe5-c014-4e91-8c72-2a7b5775d85c
context: Volleyball
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"A recipe for $6$ pancakes needs $2$ cups of flour. How much flour is needed for $15$ pancakes? Explain your reasoning.","teacherTips":["Encourage students to set up proportions like $6:2 = 15:x$.","Ask students to explain why cross multiplication works.","Discuss how proportions apply to real-life scenarios like cooking."],"difficulty":"mild"}


example_id: lp_01K933VQY1YXMB99VPX65T3DWX_01K933VSA8SQYRWXBRDMMTFKJW_MULTIPLE_CHOICE_QUESTION
skills: ["Solving proportions","Solving proportions in worded problems"]
skill_ids: ["01JZ9YZPMJ9TQM6VY6CJREWWM0","BzCcZvkDQvKnDosjX5Os"]
subtopics: ["Ratio Calculations"]
subtopic_ids: ["subtopic_01GTC0BM7JPKD3HGF0J54AC2DZ"]
topic: Ratios and Proportional Relationships
topic_id: 1c3afbe5-c014-4e91-8c72-2a7b5775d85c
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"If $2$ pencils cost $\\$1$, how much will $6$ pencils cost?","answerOptions":["$\\$2$","$\\$3$","$\\$4$","$\\$6$"],"answer":"$\\$3$","difficulty":"mild"}


example_id: lp_01K933VQY1YXMB99VPX65T3DWX_01K933VSA8SQYRWXBRDQ314YCC_MULTIPLE_CHOICE_QUESTION
skills: ["Solving proportions","Solving proportions in worded problems"]
skill_ids: ["01JZ9YZPMJ9TQM6VY6CJREWWM0","BzCcZvkDQvKnDosjX5Os"]
subtopics: ["Ratio Calculations"]
subtopic_ids: ["subtopic_01GTC0BM7JPKD3HGF0J54AC2DZ"]
topic: Ratios and Proportional Relationships
topic_id: 1c3afbe5-c014-4e91-8c72-2a7b5775d85c
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"If $4$ books cost $\\$28$, how much will $7$ books cost?","answerOptions":["$\\$42$","$\\$49$","$\\$56$","$\\$63$"],"answer":"$\\$49$","difficulty":"hot"}


example_id: lp_01K933VQY1YXMB99VPX65T3DWX_01K933VSA8SQYRWXBRDGYMSBQG_MULTIPLE_CHOICE_QUESTION
skills: ["Solving proportions","Solving proportions in worded problems"]
skill_ids: ["01JZ9YZPMJ9TQM6VY6CJREWWM0","BzCcZvkDQvKnDosjX5Os"]
subtopics: ["Ratio Calculations"]
subtopic_ids: ["subtopic_01GTC0BM7JPKD3HGF0J54AC2DZ"]
topic: Ratios and Proportional Relationships
topic_id: 1c3afbe5-c014-4e91-8c72-2a7b5775d85c
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"If $3$ pencils cost $\\$6$, how much will $6$ pencils cost?","answerOptions":["$\\$9$","$\\$10$","$\\$12$","$\\$15$"],"answer":"$\\$12$","difficulty":"mild"}


example_id: lp_01K933VQY1YXMB99VPX65T3DWX_01K933VSA8SQYRWXBRDSNY9K5N_CONTEMPLATIVE_QUESTION
skills: ["Solving proportions","Solving proportions in worded problems"]
skill_ids: ["01JZ9YZPMJ9TQM6VY6CJREWWM0","BzCcZvkDQvKnDosjX5Os"]
subtopics: ["Ratio Calculations"]
subtopic_ids: ["subtopic_01GTC0BM7JPKD3HGF0J54AC2DZ"]
topic: Ratios and Proportional Relationships
topic_id: 1c3afbe5-c014-4e91-8c72-2a7b5775d85c
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"A recipe for $6$ people uses $4$ cups of flour. How would you adjust the recipe for $15$ people? What if you only have $3$ cups of flour? Justify your reasoning.","teacherTips":["Set $4/6 = x/15$ to find $x = 10$. For $3$ cups, solve $4/x = 6/15$ to get $x = 2.25$ people."],"difficulty":"spicy"}


example_id: lp_01K933VQY1YXMB99VPX65T3DWX_01K933VSA8SQYRWXBREK5B6HGJ_MULTIPLE_CHOICE_QUESTION
skills: ["Solving proportions","Solving proportions in worded problems"]
skill_ids: ["01JZ9YZPMJ9TQM6VY6CJREWWM0","BzCcZvkDQvKnDosjX5Os"]
subtopics: ["Ratio Calculations"]
subtopic_ids: ["subtopic_01GTC0BM7JPKD3HGF0J54AC2DZ"]
topic: Ratios and Proportional Relationships
topic_id: 1c3afbe5-c014-4e91-8c72-2a7b5775d85c
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"If $3$ apples cost $\\$6$, how much do $9$ apples cost?","answerOptions":["$\\$12$","$\\$18$","$\\$24$","$\\$9$"],"answer":"$\\$18$","difficulty":"mild"}


example_id: lp_01K933VQY1YXMB99VPX65T3DWX_01K933VSA8SQYRWXBREEC8RMNJ_MULTIPLE_CHOICE_QUESTION
skills: ["Solving proportions","Solving proportions in worded problems"]
skill_ids: ["01JZ9YZPMJ9TQM6VY6CJREWWM0","BzCcZvkDQvKnDosjX5Os"]
subtopics: ["Ratio Calculations"]
subtopic_ids: ["subtopic_01GTC0BM7JPKD3HGF0J54AC2DZ"]
topic: Ratios and Proportional Relationships
topic_id: 1c3afbe5-c014-4e91-8c72-2a7b5775d85c
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"If $3$ apples cost $\\$9$, how much do $5$ apples cost?","answerOptions":["$\\$12$","$\\$15$","$\\$18$","$\\$21$"],"answer":"$\\$15$","difficulty":"mild"}


example_id: lp_01K933VQY1YXMB99VPX65T3DWX_01K933VSA8SQYRWXBRERYB60ZP_CONTEMPLATIVE_QUESTION
skills: ["Solving proportions","Solving proportions in worded problems"]
skill_ids: ["01JZ9YZPMJ9TQM6VY6CJREWWM0","BzCcZvkDQvKnDosjX5Os"]
subtopics: ["Ratio Calculations"]
subtopic_ids: ["subtopic_01GTC0BM7JPKD3HGF0J54AC2DZ"]
topic: Ratios and Proportional Relationships
topic_id: 1c3afbe5-c014-4e91-8c72-2a7b5775d85c
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"You are mixing paint to create a custom color. The ratio of red to blue paint is $5:3$. If you need $32$ cups of paint total, how many cups of each color should you use? Could you adjust the ratio for a different shade?","teacherTips":["Each part equals $4$ cups. Use $20$ cups of red and $12$ cups of blue. Adjust ratios for new shades."],"difficulty":"spicy"}


example_id: lp_01K933VQY1YXMB99VPX65T3DWX_01K933VRVXZVGQH2FSY9GXWJM8_SCAFFOLDED_QUESTION
skills: ["Solving proportions","Solving proportions in worded problems"]
skill_ids: ["01JZ9YZPMJ9TQM6VY6CJREWWM0","BzCcZvkDQvKnDosjX5Os"]
subtopics: ["Ratio Calculations"]
subtopic_ids: ["subtopic_01GTC0BM7JPKD3HGF0J54AC2DZ"]
topic: Ratios and Proportional Relationships
topic_id: 1c3afbe5-c014-4e91-8c72-2a7b5775d85c
class_year: 6
country: US
period_number: 6
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore the concept of solving proportions through challenging real-world scenarios.","questions":[{"answer":"Use the proportion to find $x$; $375$ miles.","question":"A recipe uses $3$ cups of flour for every $5$ cups of sugar.\nIf you use $12$ cups of flour, how many cups of sugar are needed?"},{"answer":"$20$","question":"A factory produces $80$ gadgets in $10$ hours.\nHow many gadgets can it produce in $25$ hours at the same rate?"},{"answer":"$200$","question":"A map uses a scale where $1$ inch represents $50$ miles.\nExplain how you would find the real distance between two cities $7.5$ inches apart."}],"difficulty":"extension"}


example_id: lp_01K933VQY1YXMB99VPX65T3DWX_01K933VRVXZVGQH2FSY3D1FBWP_SCAFFOLDED_QUESTION
skills: ["Solving proportions","Solving proportions in worded problems"]
skill_ids: ["01JZ9YZPMJ9TQM6VY6CJREWWM0","BzCcZvkDQvKnDosjX5Os"]
subtopics: ["Ratio Calculations"]
subtopic_ids: ["subtopic_01GTC0BM7JPKD3HGF0J54AC2DZ"]
topic: Ratios and Proportional Relationships
topic_id: 1c3afbe5-c014-4e91-8c72-2a7b5775d85c
class_year: 6
country: US
period_number: 6
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will solve simple proportions step-by-step. Proportions compare two equal ratios and can be solved using multiplication or division.","questions":[{"answer":"$12$","question":"Solve for $x$ in the proportion: $\\frac{2}{5} = \\frac{x}{10}$.\nHint: Use cross-multiplication to find $x$."},{"answer":"$4$","question":"Solve for $y$ in the proportion: $\\frac{3}{7} = \\frac{y}{14}$.\nHint: Use cross-multiplication to find $y$."},{"answer":"$5$","question":"Solve for $z$ in the proportion: $\\frac{4}{9} = \\frac{z}{27}$.\nHint: Use cross-multiplication to find $z$."}],"difficulty":"enabling"}


example_id: lp_01K9340C1EJFA2KNSYA8T24FRB_01K9340DE2ZMJYH4EB6KABRBC4_ACTIVITY
skills: ["Dividing fractions"]
skill_ids: ["avN9feq7XZ3YmoBZDWnh"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: Bullet Trains
class_year: 6
country: US
period_number: 6
node_type: ACTIVITY
example_output_json:
{"header":"Fraction Recipe Challenge\nYour team is scaling down recipes for a cooking class. Divide fractions to adjust the ingredients!","scenario":"Steps\n1. Write a recipe using 3 fraction-based ingredients (e.g., $\\frac{3}{4}$ cup sugar).\n2. Choose a scale factor (e.g., divide by $2$ or $3$) to reduce the recipe size.\n3. Calculate the new quantities for each ingredient by dividing the fractions.\n4. Check each other's work for accuracy.\n5. The team with the most correct calculations wins!","steps":["Discussion\n• Why do we flip and multiply to divide fractions?\n• How does dividing by a fraction change the size of the number?","Differentiation Opportunities\n• Support: Use simple fractions with denominators like $2$, $3$, or $4$.\n• Extend: Use mixed numbers or improper fractions in the recipe."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K9340C1EJFA2KNSYA8T24FRB_01K9340DE2ZMJYH4EB6ZP49N34_CONTEMPLATIVE_QUESTION
skills: ["Dividing fractions"]
skill_ids: ["avN9feq7XZ3YmoBZDWnh"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: Bullet Trains
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You have $3$ cups of flour and need $\\frac{3}{4}$ cup per batch of cookies. How many batches can you make? What if each batch needs $\\frac{2}{3}$ cup instead? Explain your method.","teacherTips":["Encourage students to divide fractions by multiplying by the reciprocal.","Ask students to compare results for $\\frac{3}{4}$ and $\\frac{2}{3}$ cups per batch.","Discuss real-life scenarios where dividing fractions is useful."],"difficulty":"mild"}


example_id: lp_01K9340C1EJFA2KNSYA8T24FRB_01K9340DE2ZMJYH4EB7C28TSAS_EXIT_TICKET
skills: ["Dividing fractions"]
skill_ids: ["avN9feq7XZ3YmoBZDWnh"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: Bullet Trains
class_year: 6
country: US
period_number: 6
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$\\frac{3}{2}$","question":"A bullet train travels $\\frac{3}{4}$ of a mile in $\\frac{1}{2}$ of a minute. How many miles does it travel per minute?"},{"answer":"$\\frac{5}{2}$","question":"If a bullet train covers $\\frac{5}{6}$ of a mile every $\\frac{1}{3}$ of a minute, what distance does it cover in $1$ minute?"},{"answer":"$\\frac{35}{16}$","question":"A bullet train travels $\\frac{7}{8}$ of a mile in $\\frac{2}{5}$ of a minute. What is its speed in miles per minute?"}]}


example_id: lp_01K9340C1EJFA2KNSYA8T24FRB_01K9340DE2ZMJYH4EB76KM7R96_THOUGHT_SPARKER
skills: ["Dividing fractions"]
skill_ids: ["avN9feq7XZ3YmoBZDWnh"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: Bullet Trains
class_year: 6
country: US
period_number: 6
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"A bullet train has $3$ compartments, and each compartment is divided into $3/4$ sections for seating.","firstSentence":"How could you determine how many total sections the train has for seating?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to visualize the compartments and sections using drawings or diagrams.","Discuss how dividing fractions works and why flipping the second fraction is necessary.","Ask students to explain their reasoning and compare different solution strategies."]}


example_id: lp_01K9340C1EJFA2KNSYA8T24FRB_01K9340DE2ZMJYH4EB6G0QADF4_APPLICATION
skills: ["Dividing fractions"]
skill_ids: ["avN9feq7XZ3YmoBZDWnh"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
context: Bullet Trains
class_year: 6
country: US
period_number: 6
node_type: APPLICATION
example_output_json:
{"title":"Dividing Fractions for Bullet Train Schedules","example1Header":"Situation\nBullet train schedulers calculate time intervals and split trip durations into fractions to create precise schedules and ensure smooth operations.","example1Body":"Example\nSchedulers divide $3/2$ hours by $1/4$ hour to find $6$ stops. They calculate $3/2 \\div 1/4 = 3/2 \\times 4/1 = 12/2 = 6$, ensuring stops fit the journey time.","example2Header":"","example2Body":""}


example_id: lp_01K9340PZXJ84T5HV5TPRXY8CQ_01K9340R6X5MNJWRMHY1CX89EH_MULTIPLE_CHOICE_QUESTION
skills: ["Dividing fractions"]
skill_ids: ["avN9feq7XZ3YmoBZDWnh"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: spicy
example_output_json:
{"question":"A recipe calls for $\\frac{3}{4}$ cup of sugar. If you want to make $\\frac{2}{5}$ of the recipe, how much sugar will you need?","answerOptions":["$\\frac{3}{10}$ cup","$\\frac{6}{20}$ cup","$\\frac{3}{8}$ cup","$\\frac{9}{20}$ cup"],"answer":"$\\frac{3}{10}$ cup","difficulty":"spicy"}


example_id: lp_01K9340PZXJ84T5HV5TPRXY8CQ_01K9340R6X5MNJWRMHX82XTPF2_MULTIPLE_CHOICE_QUESTION
skills: ["Dividing fractions"]
skill_ids: ["avN9feq7XZ3YmoBZDWnh"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is $\\frac{1}{2} \\div \\frac{1}{4}$?","answerOptions":["$\\frac{1}{8}$","$\\frac{1}{6}$","$2$","$4$"],"answer":"$2$","difficulty":"mild"}


example_id: lp_01K9340PZXJ84T5HV5TPRXY8CQ_01K9340R6X5MNJWRMHY5HF2371_CONTEMPLATIVE_QUESTION
skills: ["Dividing fractions"]
skill_ids: ["avN9feq7XZ3YmoBZDWnh"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"A recipe uses $3\\frac{1}{2}$ cups of flour for $2\\frac{1}{4}$ batches of cookies. How much flour is needed per batch? How would this change if you made $5$ times the batches? Explain your reasoning.","teacherTips":["Divide: $3\\frac{1}{2} \\div 2\\frac{1}{4} = \\frac{14}{4} \\div \\frac{9}{4} = \\frac{14}{9}$. Multiply for $5$ batches."],"difficulty":"spicy"}


example_id: lp_01K9340PZXJ84T5HV5TPRXY8CQ_01K9340R6X5MNJWRMHXWBHAQAN_CONTEMPLATIVE_QUESTION
skills: ["Dividing fractions"]
skill_ids: ["avN9feq7XZ3YmoBZDWnh"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"You have $3$ cups of flour and each pancake needs $\\frac{1}{4}$ cup. How many pancakes can you make? What if each pancake needed $\\frac{1}{3}$ cup? Explain your reasoning.","teacherTips":["Divide: $3 \\div \\frac{1}{4} = 12$ pancakes. For $\\frac{1}{3}$, $3 \\div \\frac{1}{3} = 9$ pancakes."],"difficulty":"hot"}


example_id: lp_01K9340PZXJ84T5HV5TPRXY8CQ_01K9340R6X5MNJWRMHXH0GWY9N_MULTIPLE_CHOICE_QUESTION
skills: ["Dividing fractions"]
skill_ids: ["avN9feq7XZ3YmoBZDWnh"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is $\\frac{3}{4} \\div \\frac{1}{2}$?","answerOptions":["$\\frac{3}{8}$","$\\frac{3}{2}$","$\\frac{2}{3}$","$2$"],"answer":"$\\frac{3}{2}$","difficulty":"mild"}


example_id: lp_01K9340PZXJ84T5HV5TPRXY8CQ_01K9340QSRGNDCM33FTPSSVT7C_SCAFFOLDED_QUESTION
skills: ["Dividing fractions"]
skill_ids: ["avN9feq7XZ3YmoBZDWnh"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 6
country: US
period_number: 6
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn how to divide fractions by understanding and applying the reciprocal method.","questions":[{"answer":"$\\frac{15}{8}$","question":"What is the reciprocal of $\\frac{2}{3}$?\nThe reciprocal of a fraction swaps its numerator and denominator."},{"answer":"$\\frac{3}{2}$","question":"What is $\\frac{1}{2} \\div \\frac{1}{4}$?\nRemember to multiply by the reciprocal of $\\frac{1}{4}$."},{"answer":"$\\frac{1}{3}$","question":"What is $\\frac{3}{4} \\div \\frac{2}{5}$?\nHint: Multiply $\\frac{3}{4}$ by the reciprocal of $\\frac{2}{5}$."}],"difficulty":"enabling"}


example_id: lp_01K9340PZXJ84T5HV5TPRXY8CQ_01K9340QSRGNDCM33FTS6RPP8G_SCAFFOLDED_QUESTION
skills: ["Dividing fractions"]
skill_ids: ["avN9feq7XZ3YmoBZDWnh"]
subtopics: ["Fraction Calculations"]
subtopic_ids: ["subtopic_01GTC0BBKNS34DMDFY8WM9Q525"]
topic: Number and Operations—Fractions
topic_id: 841df33d-0beb-42a5-a4c5-7ed91f1bd37e
class_year: 6
country: US
period_number: 6
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Mastering division of fractions through challenging real-world and abstract problems.","questions":[{"answer":"There are $2.5$ servings; explain division by reciprocal.","question":"What is the simplified result of $\\frac{12}{25} \\div \\frac{15}{20}$?"},{"answer":"$\\frac{16}{25}$","question":"Divide $2\\frac{1}{3} \\div \\frac{7}{9}$ and simplify your answer."},{"answer":"$3$","question":"You have $\\frac{5}{8}$ of a pie, and you want to divide it equally among $\\frac{1}{4}$-sized servings.\nExplain how you calculate the number of servings and justify why your method works."}],"difficulty":"extension"}


example_id: lp_01K9345HHPD5516GG4JKF91ZFD_01K9345JNYC0GM95HWXZA3NRPC_EXIT_TICKET
skills: ["Solving problems using long division"]
skill_ids: ["IueyI8jY9iVf60sBFdwz"]
subtopics: ["Division"]
subtopic_ids: ["subtopic_01GTC0BKW1XZXBK9NSWCA3073X"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
context: Rugby
class_year: 6
country: US
period_number: 6
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$20$","question":"A rugby team has $120$ water bottles to distribute equally among $6$ players. How many water bottles does each player get?"},{"answer":"$128$","question":"A rugby stadium seats $1\\,536$ people. If there are $12$ rows of seats, how many people can sit in each row?"},{"answer":"$2\\,175$","question":"A rugby match lasts $4\\,350$ seconds. If each half of the match is the same length, how many seconds long is each half?"}]}


example_id: lp_01K9345HHPD5516GG4JKF91ZFD_01K9345JNYC0GM95HWX4FTC2GQ_ACTIVITY
skills: ["Solving problems using long division"]
skill_ids: ["IueyI8jY9iVf60sBFdwz"]
subtopics: ["Division"]
subtopic_ids: ["subtopic_01GTC0BKW1XZXBK9NSWCA3073X"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
context: Rugby
class_year: 6
country: US
period_number: 6
node_type: ACTIVITY
example_output_json:
{"header":"Delivery Division Dash\nYour team must solve division problems to deliver packages across the city!","scenario":"Steps\n1. Write 5 long division problems with dividends up to $1\\,000$.\n2. Swap your problems with another team and solve them.\n3. Check each other's answers for accuracy.\n4. Every correct answer unlocks a delivery route.\n5. Complete all routes to finish your deliveries!","steps":["Discussion\n• What strategies helped you solve long division faster?\n• Why is it important to check your work after each step?","Differentiation Opportunities\n• Support: Use smaller dividends (up to $100$) for simpler problems.\n• Extend: Include problems with remainders and explain their meaning."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K9345HHPD5516GG4JKF91ZFD_01K9345JNYC0GM95HWXMJ21HYQ_CONTEMPLATIVE_QUESTION
skills: ["Solving problems using long division"]
skill_ids: ["IueyI8jY9iVf60sBFdwz"]
subtopics: ["Division"]
subtopic_ids: ["subtopic_01GTC0BKW1XZXBK9NSWCA3073X"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
context: Rugby
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You have $456$ pieces of candy to divide among $8$ friends. How would you use long division to find out how many candies each friend gets and how many are left over? Explain your steps.","teacherTips":["Encourage students to divide step by step starting with the largest place value.","Remind students to check their work by multiplying and adding the remainder.","Ask students to explain why the remainder exists in this context."],"difficulty":"mild"}


example_id: lp_01K9345HHPD5516GG4JKF91ZFD_01K9345JNYC0GM95HWXVYKX0A0_THOUGHT_SPARKER
skills: ["Solving problems using long division"]
skill_ids: ["IueyI8jY9iVf60sBFdwz"]
subtopics: ["Division"]
subtopic_ids: ["subtopic_01GTC0BKW1XZXBK9NSWCA3073X"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
context: Rugby
class_year: 6
country: US
period_number: 6
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"At a rugby match, there are $1\\,344$ fans in attendance, and they need to be evenly divided into $12$ sections of seating.","firstSentence":"How could you determine how many fans will sit in each section?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to estimate the answer first to check their work later.","Discuss why division is the appropriate operation in this scenario.","Prompt students to explain their reasoning and share different strategies for solving the problem."]}


example_id: lp_01K9345HHPD5516GG4JKF91ZFD_01K9345JNYC0GM95HWX3AA3QC6_APPLICATION
skills: ["Solving problems using long division"]
skill_ids: ["IueyI8jY9iVf60sBFdwz"]
subtopics: ["Division"]
subtopic_ids: ["subtopic_01GTC0BKW1XZXBK9NSWCA3073X"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
context: Rugby
class_year: 6
country: US
period_number: 6
node_type: APPLICATION
example_output_json:
{"title":"Scoring Accuracy in Rugby","example1Header":"Situation\nRugby coaches analyze player performance by breaking down game stats. Long division helps track scoring accuracy from attempted conversions.","example1Body":"Example\nA rugby player scored $28$ out of $45$ conversion kicks. Using long division: $28 \\div 45 = 0.62$, or $62\\%$ success. Coaches use this to evaluate performance.","example2Header":"","example2Body":""}


example_id: lp_01K9346B4WF63GYGYNFY8GVVTP_01K9346CVY1JWVJZBTM4HET66B_CONTEMPLATIVE_QUESTION
skills: ["Solving problems using long division"]
skill_ids: ["IueyI8jY9iVf60sBFdwz"]
subtopics: ["Division"]
subtopic_ids: ["subtopic_01GTC0BKW1XZXBK9NSWCA3073X"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"You have $1\\,284$ candies to pack in boxes holding $36$ each. How would you divide them? What strategies ensure no candies are left out?","teacherTips":["Divide: $1\\,284 \\div 36 = 35$ remainder $24$. $35$ boxes are filled; $24$ candies remain."],"difficulty":"spicy"}


example_id: lp_01K9346B4WF63GYGYNFY8GVVTP_01K9346CVY1JWVJZBTKV190JPG_CONTEMPLATIVE_QUESTION
skills: ["Solving problems using long division"]
skill_ids: ["IueyI8jY9iVf60sBFdwz"]
subtopics: ["Division"]
subtopic_ids: ["subtopic_01GTC0BKW1XZXBK9NSWCA3073X"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"You have $1\\,248$ candies to pack into boxes of $24$. How would you divide them equally? Could there be leftovers?","teacherTips":["Divide: $1\\,248 \\div 24 = 52$ boxes, $0$ leftover. Verify: $52 \\times 24 = 1\\,248$."],"difficulty":"hot"}


example_id: lp_01K9346B4WF63GYGYNFY8GVVTP_01K9346CVY1JWVJZBTKZM9CM3M_MULTIPLE_CHOICE_QUESTION
skills: ["Solving problems using long division"]
skill_ids: ["IueyI8jY9iVf60sBFdwz"]
subtopics: ["Division"]
subtopic_ids: ["subtopic_01GTC0BKW1XZXBK9NSWCA3073X"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: spicy
example_output_json:
{"question":"A company packs $3\\,456$ items equally into $12$ boxes. How many items are in each box?","answerOptions":["$286$","$288$","$290$","$292$"],"answer":"$288$","difficulty":"spicy"}


example_id: lp_01K9346B4WF63GYGYNFY8GVVTP_01K9346CVY1JWVJZBTKMX6VVQH_MULTIPLE_CHOICE_QUESTION
skills: ["Solving problems using long division"]
skill_ids: ["IueyI8jY9iVf60sBFdwz"]
subtopics: ["Division"]
subtopic_ids: ["subtopic_01GTC0BKW1XZXBK9NSWCA3073X"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is $96 \\div 8$?","answerOptions":["$10$","$11$","$12$","$14$"],"answer":"$12$","difficulty":"mild"}


example_id: lp_01K9346B4WF63GYGYNFY8GVVTP_01K9346CE407ANJTPDYWGQW0FX_SCAFFOLDED_QUESTION
skills: ["Solving problems using long division"]
skill_ids: ["IueyI8jY9iVf60sBFdwz"]
subtopics: ["Division"]
subtopic_ids: ["subtopic_01GTC0BKW1XZXBK9NSWCA3073X"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
class_year: 6
country: US
period_number: 6
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore challenging division problems that test your reasoning and understanding of long division.","questions":[{"answer":"Answers will vary but must include justification of the chosen representation.","question":"Divide $3\\,045$ by $12$ and express your answer as a mixed number."},{"answer":"$253 \\frac{1}{12}$","question":"What is $15\\,732 \\div 26$ to the nearest hundredth?"},{"answer":"$605.85$","question":"Explain how you would divide $84\\,675$ by $48$ and determine whether the result should be rounded, expressed as a mixed number, or left exact."}],"difficulty":"extension"}


example_id: lp_01K9346B4WF63GYGYNFY8GVVTP_01K9346CE407ANJTPDYRF4324J_SCAFFOLDED_QUESTION
skills: ["Solving problems using long division"]
skill_ids: ["IueyI8jY9iVf60sBFdwz"]
subtopics: ["Division"]
subtopic_ids: ["subtopic_01GTC0BKW1XZXBK9NSWCA3073X"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
class_year: 6
country: US
period_number: 6
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this activity, you will practice solving long division problems step by step.","questions":[{"answer":"$12$","question":"What is $48 \\div 6$?\nHint: Think about how many times $6$ fits into $48$."},{"answer":"$6$","question":"What is $84 \\div 7$?\nHint: Divide step by step. $7$ fits into $84$ how many times?"},{"answer":"$7$","question":"What is $96 \\div 8$?\nHint: Solve step by step, thinking about how many times $8$ fits into $96$."}],"difficulty":"enabling"}


example_id: lp_01K934ASG307CCE5ETX9H48YVH_01K934ATJK1MFQQ13PVHM5F23R_EXIT_TICKET
skill_ids: ["7GlpGl4T3xdp70oZlFoE","N4zF9UZM8Y0Xux6SOQ6Z","c1gV2OdbxNtqsuVOPEJ3"]
subtopics: ["Decimal Multiplication \u0026 Division"]
subtopic_ids: ["subtopic_01GTC0BPZKH28CXTX87P00AR4Z"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Swimming
class_year: 6
country: US
period_number: 6
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$4.56$","question":"A swimmer records her time as $45.6$ seconds and divides it by $10$ to find her average per lap. What is her average lap time in seconds?"},{"answer":"$51.35$","question":"After swimming $32.75$ meters, Mia swam an additional $18.6$ meters. How far did Mia swim in total?"},{"answer":"$312$","question":"A swimming pool holds $0.312$ liters of water per square meter. How much water is held across $10^3$ square meters?"}]}

skills:
["Dividing decimals by powers of ten","Decimal addition and subtraction","Multiplying decimals by powers of ten"]


example_id: lp_01K934ASG307CCE5ETX9H48YVH_01K934ATJK1MFQQ13PTQG5WJXD_ACTIVITY
skill_ids: ["7GlpGl4T3xdp70oZlFoE","N4zF9UZM8Y0Xux6SOQ6Z","c1gV2OdbxNtqsuVOPEJ3"]
subtopics: ["Decimal Multiplication \u0026 Division"]
subtopic_ids: ["subtopic_01GTC0BPZKH28CXTX87P00AR4Z"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Swimming
class_year: 6
country: US
period_number: 6
node_type: ACTIVITY
example_output_json:
{"header":"Inventory Balancing Act\nYour team is managing a warehouse. Adjust inventory by multiplying, dividing, adding, and subtracting decimals.","scenario":"Steps\n1. Write down $10$ items and assign a decimal quantity to each (e.g., $12.5$, $8.75$).\n2. Multiply or divide each quantity by powers of $10$ to simulate shipments.\n3. Add or subtract decimals to adjust for inventory errors.\n4. Calculate the final total inventory for all items.\n5. Compare totals with other teams for accuracy!","steps":["Discussion\n• How does multiplying by $10$ or $0.1$ affect the decimal value?\n• Why is it important to align decimal points when adding or subtracting?","Differentiation Opportunities\n• Support: Use only whole numbers or one decimal place in all calculations.\n• Extend: Include multiple operations per item, such as $12.5 \\times 10 - 8.75 \\div 100$."],"discussion":[],"differentiation":{"support":"","extend":""}}

skills:
["Dividing decimals by powers of ten","Decimal addition and subtraction","Multiplying decimals by powers of ten"]


example_id: lp_01K934ASG307CCE5ETX9H48YVH_01K934ATJK1MFQQ13PV7QF2DR0_CONTEMPLATIVE_QUESTION
skill_ids: ["7GlpGl4T3xdp70oZlFoE","N4zF9UZM8Y0Xux6SOQ6Z","c1gV2OdbxNtqsuVOPEJ3"]
subtopics: ["Decimal Multiplication \u0026 Division"]
subtopic_ids: ["subtopic_01GTC0BPZKH28CXTX87P00AR4Z"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Swimming
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You have $25.6$ pounds of flour. How would you divide, multiply, add, or subtract it to prepare for recipes requiring $10$, $0.1$, or $0.01$ pounds? Explain your strategy.","teacherTips":["Encourage students to explore dividing by $10$, $100$, or multiplying by these powers of $10$.","Remind students to align decimal places when adding or subtracting.","Discuss real-life scenarios like adjusting quantities for recipes."],"difficulty":"mild"}

skills:
["Dividing decimals by powers of ten","Decimal addition and subtraction","Multiplying decimals by powers of ten"]


example_id: lp_01K934ASG307CCE5ETX9H48YVH_01K934ATJK1MFQQ13PTHEMC3Y5_APPLICATION
skill_ids: ["7GlpGl4T3xdp70oZlFoE","N4zF9UZM8Y0Xux6SOQ6Z","c1gV2OdbxNtqsuVOPEJ3"]
subtopics: ["Decimal Multiplication \u0026 Division"]
subtopic_ids: ["subtopic_01GTC0BPZKH28CXTX87P00AR4Z"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Swimming
class_year: 6
country: US
period_number: 6
node_type: APPLICATION
example_output_json:
{"title":"Tracking Swim Lap Times with Decimals","example1Header":"Situation\nCompetitive swimming coaches track lap times during practice. They analyze lap times to identify improvements and ensure swimmers reach their goals.","example1Body":"Example\nA swimmer's three lap times are $1.25$, $1.30$, and $1.20$ minutes. Adding these: $1.25 + 1.30 = 2.55$ and $2.55 + 1.20 = 3.75$. The total time is $3.75$ minutes.","example2Header":"","example2Body":""}


example_id: lp_01K934ASG307CCE5ETX9H48YVH_01K934ATJK1MFQQ13PVBNZWNKB_THOUGHT_SPARKER
skill_ids: ["7GlpGl4T3xdp70oZlFoE","N4zF9UZM8Y0Xux6SOQ6Z","c1gV2OdbxNtqsuVOPEJ3"]
subtopics: ["Decimal Multiplication \u0026 Division"]
subtopic_ids: ["subtopic_01GTC0BPZKH28CXTX87P00AR4Z"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
context: Swimming
class_year: 6
country: US
period_number: 6
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"A swimming pool holds $25\\,000$ gallons of water when full. After a hot day, $1.25\\%$ of the water evaporates, and $10\\%$ of the remaining water is used for cleaning.","firstSentence":"How could you calculate how much water is left in the pool at the end of the day?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to break down the problem into steps, such as calculating evaporation first and then cleaning.","Discuss how multiplying and dividing by powers of ten is useful when working with percentages.","Ask students to explain their reasoning and compare different methods for solving the problem."]}


example_id: lp_01K934C59B0WYGF6AP0K266C4V_01K934C6VTT04KRZRXSXDEHZRP_MULTIPLE_CHOICE_QUESTION
skill_ids: ["N4zF9UZM8Y0Xux6SOQ6Z","7GlpGl4T3xdp70oZlFoE","c1gV2OdbxNtqsuVOPEJ3"]
subtopics: ["Decimal Multiplication \u0026 Division"]
subtopic_ids: ["subtopic_01GTC0BPZKH28CXTX87P00AR4Z"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is $3.2 + 4.5$?","answerOptions":["$7.7$","$8.0$","$6.5$","$7.5$"],"answer":"$7.7$","difficulty":"mild"}

skills:
["Decimal addition and subtraction","Dividing decimals by powers of ten","Multiplying decimals by powers of ten"]


example_id: lp_01K934C59B0WYGF6AP0K266C4V_01K934C6VTT04KRZRXT8JTEHAJ_CONTEMPLATIVE_QUESTION
skill_ids: ["N4zF9UZM8Y0Xux6SOQ6Z","7GlpGl4T3xdp70oZlFoE","c1gV2OdbxNtqsuVOPEJ3"]
subtopics: ["Decimal Multiplication \u0026 Division"]
subtopic_ids: ["subtopic_01GTC0BPZKH28CXTX87P00AR4Z"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"Design a shopping list with exactly 5 items. The total cost must be $20.25$. How could the items' costs involve decimals? Show and explain your strategy.","teacherTips":["Choose decimals like $5.49$, $4.76$, $3.00$, $2.50$, $4.50$. Verify: $5.49 + 4.76 + 3.00 + 2.50 + 4.50 = 20.25$."],"difficulty":"spicy"}

skills:
["Decimal addition and subtraction","Dividing decimals by powers of ten","Multiplying decimals by powers of ten"]


example_id: lp_01K934C59B0WYGF6AP0K266C4V_01K934C6VTT04KRZRXSZJBMCS6_MULTIPLE_CHOICE_QUESTION
skill_ids: ["N4zF9UZM8Y0Xux6SOQ6Z","7GlpGl4T3xdp70oZlFoE","c1gV2OdbxNtqsuVOPEJ3"]
subtopics: ["Decimal Multiplication \u0026 Division"]
subtopic_ids: ["subtopic_01GTC0BPZKH28CXTX87P00AR4Z"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is $3.4 + 2.6$?","answerOptions":["$5.0$","$6.0$","$5.8$","$6.4$"],"answer":"$6.0$","difficulty":"mild"}

skills:
["Decimal addition and subtraction","Dividing decimals by powers of ten","Multiplying decimals by powers of ten"]


example_id: lp_01K934C59B0WYGF6AP0K266C4V_01K934C6VTT04KRZRXT3891N7K_MULTIPLE_CHOICE_QUESTION
skill_ids: ["N4zF9UZM8Y0Xux6SOQ6Z","7GlpGl4T3xdp70oZlFoE","c1gV2OdbxNtqsuVOPEJ3"]
subtopics: ["Decimal Multiplication \u0026 Division"]
subtopic_ids: ["subtopic_01GTC0BPZKH28CXTX87P00AR4Z"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"Lisa had $12.75$. She spent $8.60$ on lunch and then received $5.25$ from her friend. How much money does she have now?","answerOptions":["$9.40$","$9.85$","$10.25$","$8.90$"],"answer":"$9.40$","difficulty":"hot"}


example_id: lp_01K934C59B0WYGF6AP0K266C4V_01K934C6VVJE0D92AWE98SME7B_MULTIPLE_CHOICE_QUESTION
skill_ids: ["N4zF9UZM8Y0Xux6SOQ6Z","7GlpGl4T3xdp70oZlFoE","c1gV2OdbxNtqsuVOPEJ3"]
subtopics: ["Decimal Multiplication \u0026 Division"]
subtopic_ids: ["subtopic_01GTC0BPZKH28CXTX87P00AR4Z"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is $5.6 \\div 10$?","answerOptions":["$0.56$","$56$","$5.6$","$0.056$"],"answer":"$0.56$","difficulty":"mild"}


example_id: lp_01K934C59B0WYGF6AP0K266C4V_01K934C6VVJE0D92AWEE4QAPJ3_CONTEMPLATIVE_QUESTION
skill_ids: ["N4zF9UZM8Y0Xux6SOQ6Z","7GlpGl4T3xdp70oZlFoE","c1gV2OdbxNtqsuVOPEJ3"]
subtopics: ["Decimal Multiplication \u0026 Division"]
subtopic_ids: ["subtopic_01GTC0BPZKH28CXTX87P00AR4Z"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"A bakery has $1.25$ kg of flour. They want to divide it equally into $100$ bags. How could you calculate the weight of flour in each bag? What if they use $1\\,000$ bags instead? Explain your strategy.","teacherTips":["Divide $1.25$ by $100$ to get $0.0125$ kg per bag. Dividing by $1\\,000$ gives $0.00125$ kg per bag."],"difficulty":"spicy"}


example_id: lp_01K934C59B0WYGF6AP0K266C4V_01K934C6VVJE0D92AWDSD9CD37_MULTIPLE_CHOICE_QUESTION
skill_ids: ["N4zF9UZM8Y0Xux6SOQ6Z","7GlpGl4T3xdp70oZlFoE","c1gV2OdbxNtqsuVOPEJ3"]
subtopics: ["Decimal Multiplication \u0026 Division"]
subtopic_ids: ["subtopic_01GTC0BPZKH28CXTX87P00AR4Z"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: spicy
example_output_json:
{"question":"What is the value of $0.03741 \\times 10\\,000$?","answerOptions":["$374.1$","$37.41$","$3\\,741$","$0.3741$"],"answer":"$3\\,741$","difficulty":"spicy"}


example_id: lp_01K934C59B0WYGF6AP0K266C4V_01K934C6VVJE0D92AWDN5RZSHA_MULTIPLE_CHOICE_QUESTION
skill_ids: ["N4zF9UZM8Y0Xux6SOQ6Z","7GlpGl4T3xdp70oZlFoE","c1gV2OdbxNtqsuVOPEJ3"]
subtopics: ["Decimal Multiplication \u0026 Division"]
subtopic_ids: ["subtopic_01GTC0BPZKH28CXTX87P00AR4Z"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"What is the result of multiplying $0.045$ by $1\\,000$?","answerOptions":["$4.5$","$45$","$0.45$","$450$"],"answer":"$45$","difficulty":"hot"}


example_id: lp_01K934C59B0WYGF6AP0K266C4V_01K934C6CDH0S1ECFQZAMENVK2_SCAFFOLDED_QUESTION
skill_ids: ["N4zF9UZM8Y0Xux6SOQ6Z","7GlpGl4T3xdp70oZlFoE","c1gV2OdbxNtqsuVOPEJ3"]
subtopics: ["Decimal Multiplication \u0026 Division"]
subtopic_ids: ["subtopic_01GTC0BPZKH28CXTX87P00AR4Z"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 6
country: US
period_number: 6
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn how to divide decimals by powers of ten by moving the decimal point to the left.","questions":[{"answer":"$0.0045$","question":"What is $4.5 \\div 10$?\nHint: The decimal point moves one place to the left."},{"answer":"$0.045$","question":"What is $4.5 \\div 100$?\nHint: The decimal point moves two places to the left."},{"answer":"$0.45$","question":"What is $4.5 \\div 1\\,000$?\nHint: The decimal point moves three places to the left."}],"difficulty":"enabling"}


example_id: lp_01K934C59B0WYGF6AP0K266C4V_01K934C6CDH0S1ECFQZHX49HW8_SCAFFOLDED_QUESTION
skill_ids: ["N4zF9UZM8Y0Xux6SOQ6Z","7GlpGl4T3xdp70oZlFoE","c1gV2OdbxNtqsuVOPEJ3"]
subtopics: ["Decimal Multiplication \u0026 Division"]
subtopic_ids: ["subtopic_01GTC0BPZKH28CXTX87P00AR4Z"]
topic: Number and Operations in Base Ten
topic_id: b53c99a1-42ae-40d4-a3a2-ea366a4b520e
class_year: 6
country: US
period_number: 6
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore advanced operations with decimals, including multiplying, dividing by powers of ten, and adding or subtracting them.","questions":[{"answer":"Both operations shift the decimal left, reducing value.","question":"What is $7.25 \\div 1\\,000$?"},{"answer":"$0.00725$","question":"If $x = 2.5 \\times 10$, and $y = x - 6.75$, what is $y$?"},{"answer":"$18.25$","question":"Explain why multiplying a decimal by $0.1$ is equivalent to dividing it by $10$, and provide examples to support your reasoning."}],"difficulty":"extension"}


example_id: lp_01K934GDQR7KX391ZST5YXKCQC_01K934GEH8GC9HJCDSZ24DJYFP_ACTIVITY
skills: ["Finding factors","Identifying multiples of natural numbers"]
skill_ids: ["0g4ssNmmmXwIgzcEWtZZ","01K5WPRDAZKTKW7CXEM3KKEHEM"]
subtopics: ["Factors"]
subtopic_ids: ["subtopic_01GTC0BQBKMFQWW6BWD2NEVXAH"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
context: Badminton
class_year: 6
country: US
period_number: 6
node_type: ACTIVITY
example_output_json:
{"header":"Fireworks Number Blast\nHelp design a fireworks show by identifying multiples and factors for each firework launch.","scenario":"Steps\n1. Write numbers $1$ to $20$ on small slips of paper, one number per slip.\n2. Each team draws $3$ numbers randomly from the slips.\n3. Find all factors and the first $5$ multiples for each number.\n4. Compare results with the other teams for accuracy and completion.\n5. Score $1$ point for each correct factor or multiple. Team with the most points wins!","steps":["Discussion\n• How do you know if a number is a multiple of another?\n• Why do some numbers have more factors than others?","Differentiation Opportunities\n• Support: Focus on numbers between $1$ and $10$ for simpler factors and multiples.\n• Extend: Explore common multiples and factors between your team's numbers."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K934GDQR7KX391ZST5YXKCQC_01K934GEH8GC9HJCDSZKSV7WQX_CONTEMPLATIVE_QUESTION
skills: ["Finding factors","Identifying multiples of natural numbers"]
skill_ids: ["0g4ssNmmmXwIgzcEWtZZ","01K5WPRDAZKTKW7CXEM3KKEHEM"]
subtopics: ["Factors"]
subtopic_ids: ["subtopic_01GTC0BQBKMFQWW6BWD2NEVXAH"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
context: Badminton
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You have $36$ apples. How could you arrange them into equal groups? List all possible group sizes and explain how you know they work.","teacherTips":["Guide students to identify all factors of $36$.","Encourage students to verify their groups by multiplication.","Discuss how factors represent equal groupings."],"difficulty":"mild"}


example_id: lp_01K934GDQR7KX391ZST5YXKCQC_01K934GEH8GC9HJCDSZYJEDC97_EXIT_TICKET
skills: ["Finding factors","Identifying multiples of natural numbers"]
skill_ids: ["0g4ssNmmmXwIgzcEWtZZ","01K5WPRDAZKTKW7CXEM3KKEHEM"]
subtopics: ["Factors"]
subtopic_ids: ["subtopic_01GTC0BQBKMFQWW6BWD2NEVXAH"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
context: Badminton
class_year: 6
country: US
period_number: 6
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$21$","question":"A badminton shuttlecock costs $3$ dollars each. If Emma buys $7$, how much does she pay in total?"},{"answer":"$1, 2, 4, 8, 16, 32$","question":"The badminton coach divides $32$ shuttlecocks equally among players. What are the possible group sizes for equal division?"},{"answer":"$12$","question":"If a badminton tournament uses $6$ shuttlecocks per match, how many matches can be played with exactly $72$ shuttlecocks?"}]}


example_id: lp_01K934GDQR7KX391ZST5YXKCQC_01K934GEH8GC9HJCDSZSE2H257_THOUGHT_SPARKER
skills: ["Finding factors","Identifying multiples of natural numbers"]
skill_ids: ["0g4ssNmmmXwIgzcEWtZZ","01K5WPRDAZKTKW7CXEM3KKEHEM"]
subtopics: ["Factors"]
subtopic_ids: ["subtopic_01GTC0BQBKMFQWW6BWD2NEVXAH"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
context: Badminton
class_year: 6
country: US
period_number: 6
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"In a badminton tournament, there are $24$ players, and the organizer wants to divide them into equal-sized teams.","firstSentence":"What team sizes could work, and why?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to list all factors of $24$ to find possible team sizes.","Discuss the relationship between equal team sizes and the concept of factors.","Explore how identifying multiples helps verify if a number is divisible by another."]}


example_id: lp_01K934GDQR7KX391ZST5YXKCQC_01K934GEH8GC9HJCDSYYNGQTSM_APPLICATION
skills: ["Finding factors","Identifying multiples of natural numbers"]
skill_ids: ["0g4ssNmmmXwIgzcEWtZZ","01K5WPRDAZKTKW7CXEM3KKEHEM"]
subtopics: ["Factors"]
subtopic_ids: ["subtopic_01GTC0BQBKMFQWW6BWD2NEVXAH"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
context: Badminton
class_year: 6
country: US
period_number: 6
node_type: APPLICATION
example_output_json:
{"title":"Finding Factors in Badminton Equipment","example1Header":"Situation\nBadminton equipment manufacturers design shuttlecock packaging. They pack shuttlecocks into boxes, choosing box sizes based on the total number of items and their factors.","example1Body":"Example\nManufacturers fit $12$ shuttlecocks by finding factors: $1, 2, 3, 4, 6, 12$. They can pack $2$ rows of $6$ or $3$ rows of $4$ per box, ensuring flexibility.","example2Header":"","example2Body":""}


example_id: lp_01K934GZKXFMV51YHZYXP351F9_01K934H160T8C3M7KPWD6SQV5A_MULTIPLE_CHOICE_QUESTION
skills: ["Finding factors","Identifying multiples of natural numbers"]
skill_ids: ["0g4ssNmmmXwIgzcEWtZZ","01K5WPRDAZKTKW7CXEM3KKEHEM"]
subtopics: ["Factors"]
subtopic_ids: ["subtopic_01GTC0BQBKMFQWW6BWD2NEVXAH"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"Which of the following numbers is a factor of $24$?","answerOptions":["$5$","$6$","$7$","$9$"],"answer":"$6$","difficulty":"mild"}


example_id: lp_01K934GZKXFMV51YHZYXP351F9_01K934H160T8C3M7KPWJNY4MYN_CONTEMPLATIVE_QUESTION
skills: ["Finding factors","Identifying multiples of natural numbers"]
skill_ids: ["0g4ssNmmmXwIgzcEWtZZ","01K5WPRDAZKTKW7CXEM3KKEHEM"]
subtopics: ["Factors"]
subtopic_ids: ["subtopic_01GTC0BQBKMFQWW6BWD2NEVXAH"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"You have 36 cupcakes to divide equally among friends. How many ways can you divide them? Explain how you find all the factors of 36.","teacherTips":["Factors of 36: $1, 2, 3, 4, 6, 9, 12, 18, 36$. Found by testing divisors up to $\\sqrt{36} = 6$."],"difficulty":"hot"}


example_id: lp_01K934GZKXFMV51YHZYXP351F9_01K934H160T8C3M7KPXDQKJE17_CONTEMPLATIVE_QUESTION
skills: ["Finding factors","Identifying multiples of natural numbers"]
skill_ids: ["0g4ssNmmmXwIgzcEWtZZ","01K5WPRDAZKTKW7CXEM3KKEHEM"]
subtopics: ["Factors"]
subtopic_ids: ["subtopic_01GTC0BQBKMFQWW6BWD2NEVXAH"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"You are organizing chairs into rows for an event. How many ways can you arrange $36$ chairs so each row has the same number of chairs? Explain your reasoning.","teacherTips":["$36$ can be arranged using its factors: $1 \\times 36$, $2 \\times 18$, $3 \\times 12$, $4 \\times 9$, $6 \\times 6$."],"difficulty":"hot"}


example_id: lp_01K934GZKXFMV51YHZYXP351F9_01K934H160T8C3M7KPX9TK9EN5_MULTIPLE_CHOICE_QUESTION
skills: ["Finding factors","Identifying multiples of natural numbers"]
skill_ids: ["0g4ssNmmmXwIgzcEWtZZ","01K5WPRDAZKTKW7CXEM3KKEHEM"]
subtopics: ["Factors"]
subtopic_ids: ["subtopic_01GTC0BQBKMFQWW6BWD2NEVXAH"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"Which number is a multiple of $6$?","answerOptions":["$13$","$18$","$25$","$31$"],"answer":"$18$","difficulty":"mild"}


example_id: lp_01K934GZKXFMV51YHZYXP351F9_01K934H160T8C3M7KPX5YW4XG4_MULTIPLE_CHOICE_QUESTION
skills: ["Finding factors","Identifying multiples of natural numbers"]
skill_ids: ["0g4ssNmmmXwIgzcEWtZZ","01K5WPRDAZKTKW7CXEM3KKEHEM"]
subtopics: ["Factors"]
subtopic_ids: ["subtopic_01GTC0BQBKMFQWW6BWD2NEVXAH"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"Which number is a multiple of $7$?","answerOptions":["$27$","$35$","$22$","$19$"],"answer":"$35$","difficulty":"mild"}


example_id: lp_01K934GZKXFMV51YHZYXP351F9_01K934H0Q4CK9H2FXTH9MJJE74_SCAFFOLDED_QUESTION
skills: ["Finding factors","Identifying multiples of natural numbers"]
skill_ids: ["0g4ssNmmmXwIgzcEWtZZ","01K5WPRDAZKTKW7CXEM3KKEHEM"]
subtopics: ["Factors"]
subtopic_ids: ["subtopic_01GTC0BQBKMFQWW6BWD2NEVXAH"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
class_year: 6
country: US
period_number: 6
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore the world of multiples and factors through challenging scenarios.","questions":[{"answer":"Yes, only if the numbers are equal.","question":"What is the greatest common factor (GCF) of $72$ and $120$?"},{"answer":"$24$","question":"What is the least common multiple (LCM) of $6$, $8$, and $12$?"},{"answer":"$24$","question":"Can a number be both a factor and a multiple of another number? Justify your reasoning with examples."}],"difficulty":"extension"}


example_id: lp_01K934GZKXFMV51YHZYXP351F9_01K934H0Q4CK9H2FXTH5JFHB0A_SCAFFOLDED_QUESTION
skills: ["Finding factors","Identifying multiples of natural numbers"]
skill_ids: ["0g4ssNmmmXwIgzcEWtZZ","01K5WPRDAZKTKW7CXEM3KKEHEM"]
subtopics: ["Factors"]
subtopic_ids: ["subtopic_01GTC0BQBKMFQWW6BWD2NEVXAH"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
class_year: 6
country: US
period_number: 6
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn to identify multiples and factors of natural numbers.","questions":[{"answer":"Factors: $1, 2, 3, 4, 6, 12$. Yes, $36$ is a multiple.","question":"Which of these is a multiple of $4$?"},{"answer":"$7$","question":"Which of these is a factor of $10$?"},{"answer":"$12$","question":"List all the factors of $12$. Then state whether $36$ is a multiple of $12$."}],"difficulty":"enabling"}


example_id: lp_01K934NK0J3DGH03RN4SMZA8M5_01K934NKWFAMMR6PPPMZ8GWBTZ_THOUGHT_SPARKER
skill_ids: ["GIb02evuYXdDCksYiFin","F4NYR2FDBTakhBy5R1rp"]
subtopics: ["Negative Numbers"]
subtopic_ids: ["subtopic_01GTC0BQX9DWQBQQ3PGFVKJVDR"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
context: Snow
class_year: 6
country: US
period_number: 6
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"In a snowy town, the temperature dropped from $+3^\\circ$F to $-5^\\circ$F overnight, then rose to $+8^\\circ$F by noon.","firstSentence":"How would you explain the meaning of the positive and negative signs in the temperature changes?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to visualize the temperature changes on a number line.","Discuss the meaning of zero as a reference point for positive and negative temperatures.","Ask students to share real-life examples of situations involving positive and negative numbers, like debts or elevations."]}

skills:
["Interpreting positive and negative signs that are side by side","Understanding negative and positive numbers"]


example_id: lp_01K934NK0J3DGH03RN4SMZA8M5_01K934NKWFAMMR6PPPM926FDWN_APPLICATION
skill_ids: ["GIb02evuYXdDCksYiFin","F4NYR2FDBTakhBy5R1rp"]
subtopics: ["Negative Numbers"]
subtopic_ids: ["subtopic_01GTC0BQX9DWQBQQ3PGFVKJVDR"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
context: Snow
class_year: 6
country: US
period_number: 6
node_type: APPLICATION
example_output_json:
{"title":"Understanding Temperatures in Snow Environments","example1Header":"Situation\nMeteorologists track snow temperatures to predict storms and ensure safety. They measure temperatures below and above freezing using negative and positive numbers.","example1Body":"Example\nMeteorologists note a temperature change from $-12^\\circ$F to $5^\\circ$F. The total rise is $5 - (-12) = 17^\\circ$F, indicating a significant warm-up.","example2Header":"","example2Body":""}

skills:
["Interpreting positive and negative signs that are side by side","Understanding negative and positive numbers"]


example_id: lp_01K934NK0J3DGH03RN4SMZA8M5_01K934NKWFAMMR6PPPMG3FHNSK_ACTIVITY
skill_ids: ["GIb02evuYXdDCksYiFin","F4NYR2FDBTakhBy5R1rp"]
subtopics: ["Negative Numbers"]
subtopic_ids: ["subtopic_01GTC0BQX9DWQBQQ3PGFVKJVDR"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
context: Snow
class_year: 6
country: US
period_number: 6
node_type: ACTIVITY
example_output_json:
{"header":"Temperature Tracker Game\nYour team is tracking a city's temperature changes over a day using math!","scenario":"Steps\n1. Draw a thermometer scale from $-20$ to $20$ on paper.\n2. Each team starts at $0^\\circ$ and draws $5$ random cards with numbers (e.g., $+5$, $-3$, $-(-4)$).\n3. Apply each temperature change to your starting point, step by step.\n4. Write down the final temperature after all changes.\n5. The team with the most accurate calculations wins!","steps":["Discussion\n• How do double negatives (e.g., $-(-4)$) affect the result?\n• Why does adding a negative decrease the temperature?","Differentiation Opportunities\n• Support: Limit changes to simple signs like $+5$ or $-3$ for practice.\n• Extend: Include three-step expressions like $-(-4) + 3$ for advanced practice."],"discussion":[],"differentiation":{"support":"","extend":""}}

skills:
["Interpreting positive and negative signs that are side by side","Understanding negative and positive numbers"]


example_id: lp_01K934NK0J3DGH03RN4SMZA8M5_01K934NKWFAMMR6PPPN1ZPBB7F_EXIT_TICKET
skill_ids: ["GIb02evuYXdDCksYiFin","F4NYR2FDBTakhBy5R1rp"]
subtopics: ["Negative Numbers"]
subtopic_ids: ["subtopic_01GTC0BQX9DWQBQQ3PGFVKJVDR"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
context: Snow
class_year: 6
country: US
period_number: 6
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$2^\\circ \\text{F}$","question":"If the temperature in a snowy town is $-5^\\circ$F and it rises by $7^\\circ$F, what is the new temperature?"},{"answer":"$-4^\\circ \\text{F}$","question":"During a snowy day, the temperature changes from $-3^\\circ$F to $-7^\\circ$F. What is the change in temperature?"},{"answer":"$-6 \\text{ inches}$","question":"If the snowfall increased by $-2$ inches per hour over $3$ hours, what is the total change in snowfall?"}]}


example_id: lp_01K934NK0J3DGH03RN4SMZA8M5_01K934NKWFAMMR6PPPMXS38RGF_CONTEMPLATIVE_QUESTION
skill_ids: ["GIb02evuYXdDCksYiFin","F4NYR2FDBTakhBy5R1rp"]
subtopics: ["Negative Numbers"]
subtopic_ids: ["subtopic_01GTC0BQX9DWQBQQ3PGFVKJVDR"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
context: Snow
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"A submarine is at $-50$ feet. It rises $+30$ feet, then dives $-20$ feet. How would you explain its final depth?","teacherTips":["Encourage students to interpret $+30$ as moving up and $-20$ as moving down.","Have students use a number line to visualize the changes in depth.","Ask students to explain their reasoning step by step."],"difficulty":"mild"}


example_id: lp_01K934P2QV3D99FQA9BDNT16Q8_01K934P3ZW3VXK9NZWWB4NM4N9_MULTIPLE_CHOICE_QUESTION
skill_ids: ["GIb02evuYXdDCksYiFin","F4NYR2FDBTakhBy5R1rp"]
subtopics: ["Negative Numbers"]
subtopic_ids: ["subtopic_01GTC0BQX9DWQBQQ3PGFVKJVDR"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is the result of $-(-5)$?","answerOptions":["$-5$","$5$","$0$","$-10$"],"answer":"$5$","difficulty":"mild"}


example_id: lp_01K934P2QV3D99FQA9BDNT16Q8_01K934P3ZW3VXK9NZWW5D9PVP1_MULTIPLE_CHOICE_QUESTION
skill_ids: ["GIb02evuYXdDCksYiFin","F4NYR2FDBTakhBy5R1rp"]
subtopics: ["Negative Numbers"]
subtopic_ids: ["subtopic_01GTC0BQX9DWQBQQ3PGFVKJVDR"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is the result of $-7 + 3$?","answerOptions":["$-10$","$4$","$-4$","$10$"],"answer":"$-4$","difficulty":"mild"}


example_id: lp_01K934P2QV3D99FQA9BDNT16Q8_01K934P3ZW3VXK9NZWWEFD4J6N_CONTEMPLATIVE_QUESTION
skill_ids: ["GIb02evuYXdDCksYiFin","F4NYR2FDBTakhBy5R1rp"]
subtopics: ["Negative Numbers"]
subtopic_ids: ["subtopic_01GTC0BQX9DWQBQQ3PGFVKJVDR"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"You are designing a game where players lose or gain points. How could you use $+(-)$, $-(-)$, and $+(+)$ symbols to show different actions? Explain your choices.","teacherTips":["$+(-)$ decreases points, $-(-)$ reverses a loss, and $+(+)$ increases points. Context defines use."],"difficulty":"hot"}


example_id: lp_01K934P2QV3D99FQA9BDNT16Q8_01K934P3ZW3VXK9NZWVGHP6JVC_CONTEMPLATIVE_QUESTION
skill_ids: ["GIb02evuYXdDCksYiFin","F4NYR2FDBTakhBy5R1rp"]
subtopics: ["Negative Numbers"]
subtopic_ids: ["subtopic_01GTC0BQX9DWQBQQ3PGFVKJVDR"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"Imagine a mountain where the peak is at $+4\\,000$ ft and the base is at $-500$ ft. How could you use positive and negative numbers to describe a hike from the base to the peak and back down again?","teacherTips":["Use $+4\\,000$ ft for the peak and $-500$ ft for the base; elevation change is $4\\,500$ ft up, then $4\\,500$ ft down."],"difficulty":"mild"}


example_id: lp_01K934P2QV3D99FQA9BDNT16Q8_01K934P3ZW3VXK9NZWVB399M75_MULTIPLE_CHOICE_QUESTION
skill_ids: ["GIb02evuYXdDCksYiFin","F4NYR2FDBTakhBy5R1rp"]
subtopics: ["Negative Numbers"]
subtopic_ids: ["subtopic_01GTC0BQX9DWQBQQ3PGFVKJVDR"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"Which of the following numbers is a positive number?","answerOptions":["$-7$","$0$","$5$","$-3$"],"answer":"$5$","difficulty":"mild"}


example_id: lp_01K934P2QV3D99FQA9BDNT16Q8_01K934P3HNNBR08E76JPFRSXMY_SCAFFOLDED_QUESTION
skill_ids: ["GIb02evuYXdDCksYiFin","F4NYR2FDBTakhBy5R1rp"]
subtopics: ["Negative Numbers"]
subtopic_ids: ["subtopic_01GTC0BQX9DWQBQQ3PGFVKJVDR"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
class_year: 6
country: US
period_number: 6
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore and justify the behavior of positive and negative numbers with different operations and side-by-side signs.","questions":[{"answer":"Subtracting $-b$ is equivalent to adding $b$.","question":"Simplify the expression $-5 + (-3)$."},{"answer":"$-8$","question":"Simplify the expression $-7 - (-2) + (+4)$."},{"answer":"$-1$","question":"Explain why subtracting a negative number ($a - (-b)$) is equivalent to adding the positive value of that number ($a + b$).\nUse an example in your explanation."}],"difficulty":"extension"}


example_id: lp_01K934P2QV3D99FQA9BDNT16Q8_01K934P3HNNBR08E76JFTH4HK4_SCAFFOLDED_QUESTION
skill_ids: ["GIb02evuYXdDCksYiFin","F4NYR2FDBTakhBy5R1rp"]
subtopics: ["Negative Numbers"]
subtopic_ids: ["subtopic_01GTC0BQX9DWQBQQ3PGFVKJVDR"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
class_year: 6
country: US
period_number: 6
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn how to interpret positive and negative signs that are side by side, such as $-(-3)$ or $+(-2)$.","questions":[{"answer":"$8$","question":"What does $-(-3)$ equal?\nHint: Two negative signs together make a positive."},{"answer":"$-3$","question":"What is $+(-2)$?\nHint: A positive sign followed by a negative sign stays negative."},{"answer":"$3$","question":"What does $-(-5) + (+3)$ equal?\nHint: Simplify the signs first, then solve."}],"difficulty":"enabling"}


example_id: lp_01K934VBA6NMW47YPC2TRYWRB6_01K934VC9YGWB9W92ZMWQ3D9CB_CONTEMPLATIVE_QUESTION
skills: ["Representing mixed numbers on a number line","Plotting coordinates on the Cartesian plane"]
skill_ids: ["01K5WP3JMGFRRP73AH2G52HY06","l3MssecBv4tbskDrGkWs"]
subtopics: ["Representing Fractions"]
subtopic_ids: ["subtopic_01GTC0BMXNKFXD40A49ECB6PVM"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
context: The Solar System
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"On a number line, place $2\\tfrac{1}{2}$ and $3\\tfrac{3}{4}$. Then, plot these as points on a Cartesian plane with $x = 2\\tfrac{1}{2}$ and $y = 3\\tfrac{3}{4}$. What patterns or relationships do you notice?","teacherTips":["Guide students to divide the number line into equal parts for fractions.","Help students connect the number line to the $x$ and $y$ axes.","Encourage students to discuss patterns or symmetry in their points."],"difficulty":"mild"}


example_id: lp_01K934VBA6NMW47YPC2TRYWRB6_01K934VC9YGWB9W92ZN6YSETMB_EXIT_TICKET
skills: ["Representing mixed numbers on a number line","Plotting coordinates on the Cartesian plane"]
skill_ids: ["01K5WP3JMGFRRP73AH2G52HY06","l3MssecBv4tbskDrGkWs"]
subtopics: ["Representing Fractions"]
subtopic_ids: ["subtopic_01GTC0BMXNKFXD40A49ECB6PVM"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
context: The Solar System
class_year: 6
country: US
period_number: 6
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$3.5$","question":"If a spaceship travels $3 \\frac{1}{2}$ light-years, where would it be on a number line between $3$ and $4$?"},{"answer":"$(6, 5)$","question":"A rover lands at $(2, 3)$ and moves $4$ units right and $2$ units up; what are the new coordinates?"},{"answer":"$\\frac{3}{4}$","question":"A satellite moves from $(1, 1)$ to $(5, 4)$; what is the slope of the line it traces?"}]}


example_id: lp_01K934VBA6NMW47YPC2TRYWRB6_01K934VC9YGWB9W92ZMA3S8HZF_ACTIVITY
skills: ["Representing mixed numbers on a number line","Plotting coordinates on the Cartesian plane"]
skill_ids: ["01K5WP3JMGFRRP73AH2G52HY06","l3MssecBv4tbskDrGkWs"]
subtopics: ["Representing Fractions"]
subtopic_ids: ["subtopic_01GTC0BMXNKFXD40A49ECB6PVM"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
context: The Solar System
class_year: 6
country: US
period_number: 6
node_type: ACTIVITY
example_output_json:
{"header":"Coordinate Plane Challenge\nYou're mapping a treasure hunt on a Cartesian plane using mixed numbers!","scenario":"Steps\n1. Draw a Cartesian plane with $x$-axis and $y$-axis ranging from $-5$ to $5$.\n2. Write $5$ mixed numbers (e.g., $2 \\frac{1}{2}$, $-3 \\frac{3}{4}$) on paper.\n3. Work with your team to convert mixed numbers into improper fractions.\n4. Plot points using the converted $x$ and $y$ values on the plane.\n5. The team with the most accurate plot wins!","steps":["Discussion\n• Why is it important to convert mixed numbers before plotting?\n• What happens if you switch the $x$ and $y$ coordinates?","Differentiation Opportunities\n• Support: Use simpler mixed numbers like $1 \\frac{1}{2}$ or $-2 \\frac{1}{4}$ for practice.\n• Extend: Include larger ranges, such as $-10$ to $10$, and more complex fractions."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K934VBA6NMW47YPC2TRYWRB6_01K934VC9YGWB9W92ZN1HFA4DF_THOUGHT_SPARKER
skills: ["Representing mixed numbers on a number line","Plotting coordinates on the Cartesian plane"]
skill_ids: ["01K5WP3JMGFRRP73AH2G52HY06","l3MssecBv4tbskDrGkWs"]
subtopics: ["Representing Fractions"]
subtopic_ids: ["subtopic_01GTC0BMXNKFXD40A49ECB6PVM"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
context: The Solar System
class_year: 6
country: US
period_number: 6
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"The distance of Earth from the Sun is approximately $93$ million miles, while Jupiter is around $484$ million miles away. If we represent these distances on a number line or a coordinate plane, Earth could be at $93$ and Jupiter at $484$.","firstSentence":"How would you determine Jupiter's location relative to Earth's on a coordinate grid?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Discuss the importance of scale when plotting large distances like those in the Solar System.","Encourage students to think about how to represent mixed numbers between whole numbers on the number line.","Ask students to explain their reasoning for choosing specific placements or labels for the planets."]}


example_id: lp_01K934VBA6NMW47YPC2TRYWRB6_01K934VC9YGWB9W92ZM8FP2JEG_APPLICATION
skills: ["Representing mixed numbers on a number line","Plotting coordinates on the Cartesian plane"]
skill_ids: ["01K5WP3JMGFRRP73AH2G52HY06","l3MssecBv4tbskDrGkWs"]
subtopics: ["Representing Fractions"]
subtopic_ids: ["subtopic_01GTC0BMXNKFXD40A49ECB6PVM"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
context: The Solar System
class_year: 6
country: US
period_number: 6
node_type: APPLICATION
example_output_json:
{"title":"Mapping Mixed Numbers in Space Exploration","example1Header":"Situation\nAstronomers map the Solar System, marking distances of planets and asteroids from the Sun. Mixed numbers help plot positions on a number line for accurate calculations.","example1Body":"Example\nAstronomers use a number line to place $2\\frac{1}{4}$ AU. It's between $2$ and $3$, with $4$ equal parts. $2\\frac{1}{4}$ is one step past $2$, showing precise location.","example2Header":"","example2Body":""}


example_id: lp_01K934VY2VD5BQVDRDPDM2ETFV_01K934VZ764WTBCEXASY6MJGF7_MULTIPLE_CHOICE_QUESTION
skills: ["Plotting coordinates on the Cartesian plane","Representing mixed numbers on a number line"]
skill_ids: ["l3MssecBv4tbskDrGkWs","01K5WP3JMGFRRP73AH2G52HY06"]
subtopics: ["Representing Fractions"]
subtopic_ids: ["subtopic_01GTC0BMXNKFXD40A49ECB6PVM"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What are the coordinates of a point located at $5$ units to the right of the origin and $3$ units up?","answerOptions":["$(3, 5)$","$(5, 3)$","$(-5, 3)$","$(5, -3)$"],"answer":"$(5, 3)$","difficulty":"mild"}


example_id: lp_01K934VY2VD5BQVDRDPDM2ETFV_01K934VZ764WTBCEXAT8NAY8ZF_CONTEMPLATIVE_QUESTION
skills: ["Plotting coordinates on the Cartesian plane","Representing mixed numbers on a number line"]
skill_ids: ["l3MssecBv4tbskDrGkWs","01K5WP3JMGFRRP73AH2G52HY06"]
subtopics: ["Representing Fractions"]
subtopic_ids: ["subtopic_01GTC0BMXNKFXD40A49ECB6PVM"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"Create a design on the Cartesian plane using 10 points. How would you describe your design and its symmetry?","teacherTips":["Use symmetry by reflecting points across axes. Example: $(3, 2)$ and $(-3, 2)$ show vertical symmetry."],"difficulty":"spicy"}


example_id: lp_01K934VY2VD5BQVDRDPDM2ETFV_01K934VZ764WTBCEXAT4HG9DBT_MULTIPLE_CHOICE_QUESTION
skills: ["Plotting coordinates on the Cartesian plane","Representing mixed numbers on a number line"]
skill_ids: ["l3MssecBv4tbskDrGkWs","01K5WP3JMGFRRP73AH2G52HY06"]
subtopics: ["Representing Fractions"]
subtopic_ids: ["subtopic_01GTC0BMXNKFXD40A49ECB6PVM"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"Which point is located at $(3, 5)$ on the Cartesian plane?","answerOptions":["$3$ units left and $5$ units down","$3$ units right and $5$ units down","$3$ units right and $5$ units up","$3$ units left and $5$ units up"],"answer":"$3$ units right and $5$ units up","difficulty":"mild"}


example_id: lp_01K934VY2VD5BQVDRDPDM2ETFV_01K934VZ764WTBCEXAS1HVJZN7_MULTIPLE_CHOICE_QUESTION
skills: ["Plotting coordinates on the Cartesian plane","Representing mixed numbers on a number line"]
skill_ids: ["l3MssecBv4tbskDrGkWs","01K5WP3JMGFRRP73AH2G52HY06"]
subtopics: ["Representing Fractions"]
subtopic_ids: ["subtopic_01GTC0BMXNKFXD40A49ECB6PVM"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"Which point on a number line represents the mixed number $2\\frac{3}{4}$?","answerOptions":["Between $2$ and $2\\frac{1}{2}$","Between $2\\frac{1}{2}$ and $3$","Between $3$ and $3\\frac{1}{2}$","Between $1\\frac{3}{4}$ and $2$"],"answer":"Between $2\\frac{1}{2}$ and $3$","difficulty":"hot"}


example_id: lp_01K934VY2VD5BQVDRDPDM2ETFV_01K934VZ764WTBCEXAS4W2RTMQ_CONTEMPLATIVE_QUESTION
skills: ["Plotting coordinates on the Cartesian plane","Representing mixed numbers on a number line"]
skill_ids: ["l3MssecBv4tbskDrGkWs","01K5WP3JMGFRRP73AH2G52HY06"]
subtopics: ["Representing Fractions"]
subtopic_ids: ["subtopic_01GTC0BMXNKFXD40A49ECB6PVM"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"Create a number line from $0$ to $5$. Place and label at least $5$ mixed numbers. How would you decide their exact positions? How could you check your placements are correct?","teacherTips":["Divide each whole into equal parts. Place mixed numbers by adding the fraction to the whole."],"difficulty":"spicy"}


example_id: lp_01K934VY2VD5BQVDRDPDM2ETFV_01K934VYRJH7Y0089DND71Y5QZ_SCAFFOLDED_QUESTION
skills: ["Plotting coordinates on the Cartesian plane","Representing mixed numbers on a number line"]
skill_ids: ["l3MssecBv4tbskDrGkWs","01K5WP3JMGFRRP73AH2G52HY06"]
subtopics: ["Representing Fractions"]
subtopic_ids: ["subtopic_01GTC0BMXNKFXD40A49ECB6PVM"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
class_year: 6
country: US
period_number: 6
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will practice representing mixed numbers on a number line and plotting points on the Cartesian plane.","questions":[{"answer":"$(1 \\tfrac{3}{4}, 4)$","question":"Which mixed number is halfway between $3$ and $4$ on a number line?\nRemember: A mixed number has a whole number and a fraction."},{"answer":"$3 \\tfrac{1}{4}$","question":"Which point represents $2 \\tfrac{1}{4}$ steps across (x) and $3$ steps up (y)?\nRemember: $(x, y)$ shows the position on the grid."},{"answer":"$3 \\tfrac{1}{2}$","question":"Point P is $1 \\tfrac{3}{4}$ steps across and $4$ steps up.\nWhat are the coordinates of Point P?"}],"difficulty":"enabling"}


example_id: lp_01K934VY2VD5BQVDRDPDM2ETFV_01K934VYRJH7Y0089DNH9W6AWT_SCAFFOLDED_QUESTION
skills: ["Plotting coordinates on the Cartesian plane","Representing mixed numbers on a number line"]
skill_ids: ["l3MssecBv4tbskDrGkWs","01K5WP3JMGFRRP73AH2G52HY06"]
subtopics: ["Representing Fractions"]
subtopic_ids: ["subtopic_01GTC0BMXNKFXD40A49ECB6PVM"]
topic: The Number System
topic_id: 2dafe951-02a2-4e5e-a8e5-696f2db59e42
class_year: 6
country: US
period_number: 6
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore mixed numbers and Cartesian coordinates through advanced reasoning tasks","questions":[{"answer":"Conversion ensures a unique point.","question":"On a number line, what point represents $3\\frac{5}{8}$ if $0$ and $5$ are marked with equal intervals of $\\frac{1}{8}$?"},{"answer":"$3\\frac{5}{8}$","question":"Plot the point $A$ at $\\left(2\\frac{1}{4},\\ -1\\frac{3}{5}\\right)$ on the Cartesian plane.\nWhat is the exact location of $A$ in improper fractions?"},{"answer":"$\\left(\\frac{9}{4},\\ -\\frac{8}{5}\\right)$","question":"Explain how to determine the exact position of $B\\left(4\\frac{2}{3},\\ 3\\frac{7}{8}\\right)$ on the Cartesian plane and why it is unique."}],"difficulty":"extension"}


example_id: lp_01K9350WXK26TR362WEC431KS3_01K9350XT93FS2CH8E84SDV9X6_CONTEMPLATIVE_QUESTION
skills: ["Identifying key features of the Cartesian plane","Plotting coordinates on the Cartesian plane"]
skill_ids: ["0YJRtnQEhdtxyacJPudq","l3MssecBv4tbskDrGkWs"]
subtopics: ["Cartesian Planes"]
subtopic_ids: ["subtopic_01GTC0BDFJHVP71F71XBNHXA29"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
context: Painting
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"Create a design on the Cartesian plane by plotting at least 5 points. Label each point. How would you describe the design or pattern you created?","teacherTips":["Ensure students label points with coordinates like $(x, y)$.","Encourage creativity while maintaining accuracy in plotting.","Discuss how the design connects to the Cartesian plane grid."],"difficulty":"mild"}


example_id: lp_01K9350WXK26TR362WEC431KS3_01K9350XT93FS2CH8E7TK4FPB2_ACTIVITY
skills: ["Identifying key features of the Cartesian plane","Plotting coordinates on the Cartesian plane"]
skill_ids: ["0YJRtnQEhdtxyacJPudq","l3MssecBv4tbskDrGkWs"]
subtopics: ["Cartesian Planes"]
subtopic_ids: ["subtopic_01GTC0BDFJHVP71F71XBNHXA29"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
context: Painting
class_year: 6
country: US
period_number: 6
node_type: ACTIVITY
example_output_json:
{"header":"Coordinate Plane Map\nYour team is designing a theme park map using the Cartesian plane!","scenario":"Steps\n1. Draw a Cartesian plane with x-axis and y-axis labeled from $-10$ to $10$.\n2. Label the quadrants and mark the origin $(0, 0)$ clearly.\n3. Each team writes $5$ coordinate points for attractions (e.g., $(3, 4)$).\n4. Swap points with another team and plot their points on your plane.\n5. Connect the points to reveal the attraction shape and check accuracy!","steps":["Discussion\n• How do coordinates change between quadrants?\n• Why is labeling axes important when plotting points?","Differentiation Opportunities\n• Support: Provide pre-written coordinate points for easier plotting.\n• Extend: Ask students to create points forming complex shapes or patterns."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K9350WXK26TR362WEC431KS3_01K9350XT93FS2CH8E8FPF0N5J_EXIT_TICKET
skills: ["Identifying key features of the Cartesian plane","Plotting coordinates on the Cartesian plane"]
skill_ids: ["0YJRtnQEhdtxyacJPudq","l3MssecBv4tbskDrGkWs"]
subtopics: ["Cartesian Planes"]
subtopic_ids: ["subtopic_01GTC0BDFJHVP71F71XBNHXA29"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
context: Painting
class_year: 6
country: US
period_number: 6
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$A(0,0)$","question":"On a painting grid, which point represents the origin of the Cartesian plane, $A(0,0)$ or $B(1,1)$?"},{"answer":"First quadrant","question":"If an artist plots a point at $(4,3)$ for a canvas design, in which quadrant does the point lie?"},{"answer":"$(-4,5)$","question":"An artist paints at $(2,5)$, $(2,-3)$, and $(-4,-3)$. What is the next point to complete a rectangle on the grid?"}]}


example_id: lp_01K9350WXK26TR362WEC431KS3_01K9350XT93FS2CH8E8993DEJP_THOUGHT_SPARKER
skills: ["Identifying key features of the Cartesian plane","Plotting coordinates on the Cartesian plane"]
skill_ids: ["0YJRtnQEhdtxyacJPudq","l3MssecBv4tbskDrGkWs"]
subtopics: ["Cartesian Planes"]
subtopic_ids: ["subtopic_01GTC0BDFJHVP71F71XBNHXA29"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
context: Painting
class_year: 6
country: US
period_number: 6
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"Imagine you are painting a mural on a grid, where each square represents 1 unit. You decide to place a tree at $(2, 3)$, a house at $(5, 5)$, and a sun at $(0, 6)$.","firstSentence":"How could you arrange additional points to create a balanced and visually appealing mural on the grid?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Review the x- and y-axes and how to plot points before starting the discussion.","Encourage students to explain why they chose specific points for balance and symmetry.","Use graph paper or an online grid tool to help students visualize their ideas clearly."]}


example_id: lp_01K9350WXK26TR362WEC431KS3_01K9350XT93FS2CH8E7P1YCCCC_APPLICATION
skills: ["Identifying key features of the Cartesian plane","Plotting coordinates on the Cartesian plane"]
skill_ids: ["0YJRtnQEhdtxyacJPudq","l3MssecBv4tbskDrGkWs"]
subtopics: ["Cartesian Planes"]
subtopic_ids: ["subtopic_01GTC0BDFJHVP71F71XBNHXA29"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
context: Painting
class_year: 6
country: US
period_number: 6
node_type: APPLICATION
example_output_json:
{"title":"Mapping Designs on a Canvas","example1Header":"Situation\nArtists often use grids, like a Cartesian plane, to map designs on a canvas. This helps them position shapes and patterns in the right spots.","example1Body":"Example\nAn artist places a star at $(2,3)$, moving $2$ right and $3$ up from the origin $(0,0)$. A triangle at $(-4,-2)$ is $4$ left and $2$ down.","example2Header":"","example2Body":""}


example_id: lp_01K9351AJSA63Q6653454TV8MJ_01K9351BQJN9QVYW07AAEDV7M4_CONTEMPLATIVE_QUESTION
skills: ["Identifying key features of the Cartesian plane","Plotting coordinates on the Cartesian plane"]
skill_ids: ["0YJRtnQEhdtxyacJPudq","l3MssecBv4tbskDrGkWs"]
subtopics: ["Cartesian Planes"]
subtopic_ids: ["subtopic_01GTC0BDFJHVP71F71XBNHXA29"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"Design a city map using a Cartesian plane. How would you label streets and landmarks using coordinates?","teacherTips":["Streets are lines parallel to axes. Landmarks use $(x,y)$ where $x$ is horizontal, $y$ is vertical."],"difficulty":"hot"}


example_id: lp_01K9351AJSA63Q6653454TV8MJ_01K9351BQJN9QVYW07A6JHA3H4_MULTIPLE_CHOICE_QUESTION
skills: ["Identifying key features of the Cartesian plane","Plotting coordinates on the Cartesian plane"]
skill_ids: ["0YJRtnQEhdtxyacJPudq","l3MssecBv4tbskDrGkWs"]
subtopics: ["Cartesian Planes"]
subtopic_ids: ["subtopic_01GTC0BDFJHVP71F71XBNHXA29"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is the name of the horizontal axis on the Cartesian plane?","answerOptions":["$y$-axis","$z$-axis","$x$-axis","Origin"],"answer":"$x$-axis","difficulty":"mild"}


example_id: lp_01K9351AJSA63Q6653454TV8MJ_01K9351BQJN9QVYW07B4HB0Y7E_MULTIPLE_CHOICE_QUESTION
skills: ["Identifying key features of the Cartesian plane","Plotting coordinates on the Cartesian plane"]
skill_ids: ["0YJRtnQEhdtxyacJPudq","l3MssecBv4tbskDrGkWs"]
subtopics: ["Cartesian Planes"]
subtopic_ids: ["subtopic_01GTC0BDFJHVP71F71XBNHXA29"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What are the coordinates of the origin on the Cartesian plane?","answerOptions":["$(0, 0)$","$(1, 1)$","$(0, 1)$","$(1, 0)$"],"answer":"$(0, 0)$","difficulty":"mild"}


example_id: lp_01K9351AJSA63Q6653454TV8MJ_01K9351BQJN9QVYW07B2CRQQR9_MULTIPLE_CHOICE_QUESTION
skills: ["Identifying key features of the Cartesian plane","Plotting coordinates on the Cartesian plane"]
skill_ids: ["0YJRtnQEhdtxyacJPudq","l3MssecBv4tbskDrGkWs"]
subtopics: ["Cartesian Planes"]
subtopic_ids: ["subtopic_01GTC0BDFJHVP71F71XBNHXA29"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"Which of the following represents the location of a point on the Cartesian plane?","answerOptions":["A number line","A graph line","A pair of coordinates","A single number"],"answer":"A pair of coordinates","difficulty":"mild"}


example_id: lp_01K9351AJSA63Q6653454TV8MJ_01K9351BQJN9QVYW07B7C3B8SM_CONTEMPLATIVE_QUESTION
skills: ["Identifying key features of the Cartesian plane","Plotting coordinates on the Cartesian plane"]
skill_ids: ["0YJRtnQEhdtxyacJPudq","l3MssecBv4tbskDrGkWs"]
subtopics: ["Cartesian Planes"]
subtopic_ids: ["subtopic_01GTC0BDFJHVP71F71XBNHXA29"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"Create a shape by plotting at least 5 points on the Cartesian plane. What could its coordinates be? How would the shape change if you moved each point 3 units up and 2 units left?","teacherTips":["Add $3$ to each $y$-coordinate and subtract $2$ from each $x$-coordinate to find the new points."],"difficulty":"spicy"}


example_id: lp_01K9351AJSA63Q6653454TV8MJ_01K9351B94EX55TSGK4NK8KN2E_SCAFFOLDED_QUESTION
skills: ["Identifying key features of the Cartesian plane","Plotting coordinates on the Cartesian plane"]
skill_ids: ["0YJRtnQEhdtxyacJPudq","l3MssecBv4tbskDrGkWs"]
subtopics: ["Cartesian Planes"]
subtopic_ids: ["subtopic_01GTC0BDFJHVP71F71XBNHXA29"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
class_year: 6
country: US
period_number: 6
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn about key features of the Cartesian plane, including the $x$-axis, $y$-axis, and plotting points.","questions":[{"answer":"$3$ steps right, $2$ steps up","question":"Which axis runs horizontally on the Cartesian plane?"},{"answer":"$x$-axis","question":"Which axis runs vertically on the Cartesian plane?"},{"answer":"$y$-axis","question":"Where is the point $(3, 2)$ on the Cartesian plane?\nHint: The first number is the $x$-coordinate (horizontal), and the second is the $y$-coordinate (vertical)."}],"difficulty":"enabling"}


example_id: lp_01K9351AJSA63Q6653454TV8MJ_01K9351B94EX55TSGK4PKMMKAV_SCAFFOLDED_QUESTION
skills: ["Identifying key features of the Cartesian plane","Plotting coordinates on the Cartesian plane"]
skill_ids: ["0YJRtnQEhdtxyacJPudq","l3MssecBv4tbskDrGkWs"]
subtopics: ["Cartesian Planes"]
subtopic_ids: ["subtopic_01GTC0BDFJHVP71F71XBNHXA29"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
class_year: 6
country: US
period_number: 6
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore advanced concepts of the Cartesian plane and analyze point relationships for geometric insights.","questions":[{"answer":"$(4, 4)$ and $(-6, -8)$","question":"Point $P$ is plotted at $(-4, 7)$ and point $Q$ is plotted at $(6, -5)$. Which quadrants do points $P$ and $Q$ lie in?"},{"answer":"Second quadrant, Fourth quadrant","question":"Find the midpoint of the line segment connecting $(-4, 7)$ and $(6, -5)$. Express your answer as coordinates."},{"answer":"$(1, 1)$","question":"If points $(-4, 7)$ and $(6, -5)$ are reflected across the $y$-axis, and then translated $3$ units down, what are their new coordinates? Justify your reasoning."}],"difficulty":"extension"}


example_id: lp_01K93574XYX19HSDQFGKWKBX5F_01K93575SAZCZFZM594WF0KD0A_ACTIVITY
skills: ["Understanding what variables represent"]
skill_ids: ["RUGdJj9e9YzXG9q8odir"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Mars
class_year: 6
country: US
period_number: 6
node_type: ACTIVITY
example_output_json:
{"header":"Mystery Bag Equations\nA mystery bag contains a number of objects. Solve to find out what's inside!","scenario":"Steps\n1. Each team creates a 'mystery bag' equation (e.g., $x + 5 = 12$).\n2. Exchange equations with another team to solve for $x$.\n3. Write what $x$ represents (e.g., $x$ is the number of marbles).\n4. Check each other's solutions and explanations.\n5. Teams score a point for correct solutions and clear reasoning!","steps":["Discussion\n• Why is it helpful to use a variable like $x$?\n• How do we know what $x$ represents in an equation?","Differentiation Opportunities\n• Support: Use simpler equations like $x + 2 = 5$ or $2x = 6$.\n• Extend: Create and solve multi-step equations like $2x + 3 = 15$."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K93574XYX19HSDQFGKWKBX5F_01K93575SAZCZFZM595962RVK1_CONTEMPLATIVE_QUESTION
skills: ["Understanding what variables represent"]
skill_ids: ["RUGdJj9e9YzXG9q8odir"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Mars
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"A baker uses $x$ cups of sugar in a recipe. If $x = 3$, how much sugar is used? What if $x = 5$?","teacherTips":["Help students see $x$ as a placeholder for any number.","Discuss how $x$ changes based on the problem's context.","Encourage students to explain their reasoning clearly."],"difficulty":"mild"}


example_id: lp_01K93574XYX19HSDQFGKWKBX5F_01K93575SAZCZFZM595GXDDEY2_EXIT_TICKET
skills: ["Understanding what variables represent"]
skill_ids: ["RUGdJj9e9YzXG9q8odir"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Mars
class_year: 6
country: US
period_number: 6
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$x = 5$","question":"If $x$ represents the number of Mars rovers on the planet, and there are $5$ rovers, what is the value of $x$?"},{"answer":"$y = 12$","question":"If $y$ represents the distance a Mars rover travels in $1$ day and it travels $12$ km today, what does $y$ equal?"},{"answer":"$z = 6$","question":"On Mars, $z$ represents the weight of a tool in kilograms. If $z + 4 = 10$, what is the weight of the tool?"}]}


example_id: lp_01K93574XYX19HSDQFGKWKBX5F_01K93575SAZCZFZM594QGCNBHZ_APPLICATION
skills: ["Understanding what variables represent"]
skill_ids: ["RUGdJj9e9YzXG9q8odir"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Mars
class_year: 6
country: US
period_number: 6
node_type: APPLICATION
example_output_json:
{"title":"Using Variables for Mars Rover Missions","example1Header":"Situation\nNASA engineers use variables to program Mars rovers. Variables represent unknowns, like a rover's distance left to travel or battery level.","example1Body":"Example\nNASA engineers use $d$ for distance left (e.g., $d = 120$ km) and $b$ for battery (e.g., $b = 80$ means $80\\%$ battery remains). The variables help track progress and energy.","example2Header":"","example2Body":""}


example_id: lp_01K93574XYX19HSDQFGKWKBX5F_01K93575SAZCZFZM595FVGW0E8_THOUGHT_SPARKER
skills: ["Understanding what variables represent"]
skill_ids: ["RUGdJj9e9YzXG9q8odir"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Mars
class_year: 6
country: US
period_number: 6
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"A Mars rover collects rock samples and sends data back to Earth. The variable $r$ represents the number of rock samples collected each day.","firstSentence":"What could $r$ represent in different situations involving the Mars rover's work?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to think about why using variables makes it easier to describe changing quantities.","Discuss examples of other things the Mars rover might measure and how variables could represent them.","Ask students to explain in their own words what $r$ could mean in specific contexts, like over multiple days or for different tasks."]}


example_id: lp_01K9357GNK3JTFH3JGBQEAW81P_01K9357K036CFWZESGE7D8V9EV_CONTEMPLATIVE_QUESTION
skills: ["Understanding what variables represent"]
skill_ids: ["RUGdJj9e9YzXG9q8odir"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"You are designing a puzzle where $x$ stands for an unknown number. How could you create clues to help someone solve for $x$ in different ways?","teacherTips":["$x$ represents an unknown; clues like $x + 5 = 10$ or $2x = 14$ help find $x$ in different ways."],"difficulty":"hot"}


example_id: lp_01K9357GNK3JTFH3JGBQEAW81P_01K9357K036CFWZESGEFYPX1VK_CONTEMPLATIVE_QUESTION
skills: ["Understanding what variables represent"]
skill_ids: ["RUGdJj9e9YzXG9q8odir"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"Create a rule using a variable, like $n$, to describe a pattern. How could you explain what $n$ represents?","teacherTips":["$n$ represents a changing value. Example: $n+3$ means the value starts at $n$ and increases by $3$."],"difficulty":"spicy"}


example_id: lp_01K9357GNK3JTFH3JGBQEAW81P_01K9357K036CFWZESGEB76D907_MULTIPLE_CHOICE_QUESTION
skills: ["Understanding what variables represent"]
skill_ids: ["RUGdJj9e9YzXG9q8odir"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: spicy
example_output_json:
{"question":"A store sells $x$ apples and $2x + 5$ oranges. If the total number of fruits is $95$, what does $x$ represent?","answerOptions":["The number of apples","The number of oranges","Half the total number of fruits","The difference between apples and oranges"],"answer":"The number of apples","difficulty":"spicy"}


example_id: lp_01K9357GNK3JTFH3JGBQEAW81P_01K9357K036CFWZESGDWRE4RKP_MULTIPLE_CHOICE_QUESTION
skills: ["Understanding what variables represent"]
skill_ids: ["RUGdJj9e9YzXG9q8odir"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"In the equation $y = 3x$, what does $x$ represent?","answerOptions":["The output of the equation","The variable being multiplied by $3$","The total value of $y$","The sum of $x$ and $y$"],"answer":"The variable being multiplied by $3$","difficulty":"mild"}


example_id: lp_01K9357GNK3JTFH3JGBQEAW81P_01K9357K036CFWZESGE0B7TW2H_MULTIPLE_CHOICE_QUESTION
skills: ["Understanding what variables represent"]
skill_ids: ["RUGdJj9e9YzXG9q8odir"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"A factory produces $50$ toys per hour. If $h$ represents the number of hours worked, what does $50h$ represent?","answerOptions":["The total number of toys produced","The number of hours worked","The number of toys produced in one hour","The average toys produced per hour"],"answer":"The total number of toys produced","difficulty":"hot"}


example_id: lp_01K9357GNK3JTFH3JGBQEAW81P_01K9357JJJ8208JG6PSKJY80ZY_SCAFFOLDED_QUESTION
skills: ["Understanding what variables represent"]
skill_ids: ["RUGdJj9e9YzXG9q8odir"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore how variables represent unknown quantities in challenging scenarios","questions":[{"answer":"When $x$ increases by $3$, $y$ decreases by $3$.","question":"If $x$ represents the number of apples Jack has and $x + 5 = 12$, how many apples does Jack have?"},{"answer":"$7$","question":"If $y$ is the number of bananas Emma has and $x$ is the number of apples Jack has, and $x + y = 15$, what is $y$ if $x = 7$?"},{"answer":"$8$","question":"In the equation $x + y = 20$, explain what happens to $y$ when $x$ increases by $3$ and why this is true."}],"difficulty":"extension"}


example_id: lp_01K9357GNK3JTFH3JGBQEAW81P_01K9357JJJ8208JG6PSFRABAN7_SCAFFOLDED_QUESTION
skills: ["Understanding what variables represent"]
skill_ids: ["RUGdJj9e9YzXG9q8odir"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn what variables are and how they can represent unknown or changing numbers in math problems.","questions":[{"answer":"The number of apples Sarah has","question":"What does a variable represent in math?"},{"answer":"A number that stays the same","question":"In the expression $3x + 5$, what is the variable?"},{"answer":"A symbol for an unknown number","question":"If $y$ is the number of apples Sarah has, what does the variable $y$ represent?"}],"difficulty":"enabling"}


example_id: lp_01K93W7G3QNTAZMG2XARYQZBRR_01K93W7MYWEJDS0ZCKWG8DRJGT_CONTEMPLATIVE_QUESTION
skills: ["Understanding what the equals sign represents"]
skill_ids: ["agRVXlibdx1jF4MUJmjM"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Farming
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You have $5 + 3 = 4 + 4$. How do you know both sides are equal? Can you create a new equation like this?","teacherTips":["Encourage students to calculate each side of the equation.","Discuss how the equals sign shows balance between two amounts.","Ask students to create their own balanced equations."],"difficulty":"mild"}


example_id: lp_01K93W7G3QNTAZMG2XARYQZBRR_01K93W7MYWEJDS0ZCKW5Q5F2BG_ACTIVITY
skills: ["Understanding what the equals sign represents"]
skill_ids: ["agRVXlibdx1jF4MUJmjM"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Farming
class_year: 6
country: US
period_number: 6
node_type: ACTIVITY
example_output_json:
{"header":"Equation Balance Game\nTeams compete to decide if equations are true or false and create their own challenges!","scenario":"Steps\n1. Write $5$ equations on paper (e.g., $3 + 4 = 7$, $5 + 2 = 10$).\n2. Swap equations with another team and check if they are true.\n3. Score $1$ point for each correct evaluation (true/false).\n4. Now, modify one side of any equation to make it balanced again.\n5. The team with the most points wins the game!","steps":["Discussion\n• What does the equals sign tell us about two sides of an equation?\n• How can we fix an equation that is not balanced?","Differentiation Opportunities\n• Support: Use only single-digit numbers and simple addition.\n• Extend: Include multiplication or fractions in your equations."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K93W7G3QNTAZMG2XARYQZBRR_01K93W7MYWEJDS0ZCKWR0ACFQW_EXIT_TICKET
skills: ["Understanding what the equals sign represents"]
skill_ids: ["agRVXlibdx1jF4MUJmjM"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Farming
class_year: 6
country: US
period_number: 6
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"Yes","question":"A farmer has $3 + 2$ cows, which equals $5$. Does $5 = 3 + 2$ mean the same thing?"},{"answer":"Yes","question":"A farmer harvests $4$ apples in the morning and $6$ apples in the afternoon. Does $4 + 6 = 10$ mean both sides are equal?"},{"answer":"Yes","question":"A farmer sells $8$ baskets of corn and keeps $12$. Is the equation $20 = 8 + 12$ true?"}]}


example_id: lp_01K93W7G3QNTAZMG2XARYQZBRR_01K93W7MYWEJDS0ZCKW0XGYHBQ_APPLICATION
skills: ["Understanding what the equals sign represents"]
skill_ids: ["agRVXlibdx1jF4MUJmjM"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Farming
class_year: 6
country: US
period_number: 6
node_type: APPLICATION
example_output_json:
{"title":"Using Equality in Farming Measurements","example1Header":"Situation\nFarmers measure and compare areas of land to evenly distribute tasks like planting or watering. They use the equals sign to ensure accurate sharing and measurement.","example1Body":"Example\nA farmer checks if $6 + 4$ acres equals another field of $10$ acres. Using $6 + 4 = 10$, they see both sides are equal, confirming the same size.","example2Header":"","example2Body":""}


example_id: lp_01K93W7G3QNTAZMG2XARYQZBRR_01K93W7MYWEJDS0ZCKWJNT24BV_THOUGHT_SPARKER
skills: ["Understanding what the equals sign represents"]
skill_ids: ["agRVXlibdx1jF4MUJmjM"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Farming
class_year: 6
country: US
period_number: 6
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"A farmer trades $3$ sacks of corn for $2$ baskets of apples, and the trade is written as $3 = 2$ to show they have the same value.","firstSentence":"What does the equals sign mean here?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Ask students to explain the relationship between the corn and apples in their own words.","Encourage students to think about the equals sign as showing balance or equivalence.","Discuss examples from everyday life where equal exchanges happen, like trading cards or currency."]}


example_id: lp_01K93W8N9BMVRRXGAKA6M884PA_01K93W8PR8XH51FYQP5TP1A0GJ_MULTIPLE_CHOICE_QUESTION
skills: ["Understanding what the equals sign represents"]
skill_ids: ["agRVXlibdx1jF4MUJmjM"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"Which of the following equations is true?","answerOptions":["$8 + 4 = 10 + 2$","$7 + 3 = 9 + 1$","$5 + 6 = 10 + 3$","$6 + 7 = 12 + 2$"],"answer":"$7 + 3 = 9 + 1$","difficulty":"hot"}


example_id: lp_01K93W8N9BMVRRXGAKA6M884PA_01K93W8PR8XH51FYQP5RZM0SS5_CONTEMPLATIVE_QUESTION
skills: ["Understanding what the equals sign represents"]
skill_ids: ["agRVXlibdx1jF4MUJmjM"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"If $7 + 5 = 12$, create three different equations that use the equals sign to show balance.","teacherTips":["The equals sign shows balance: e.g., $8 + 4 = 12$, $15 - 3 = 12$, $6 \\times 2 = 12$."],"difficulty":"mild"}


example_id: lp_01K93W8N9BMVRRXGAKA6M884PA_01K93W8PR8XH51FYQP5XPB28C9_CONTEMPLATIVE_QUESTION
skills: ["Understanding what the equals sign represents"]
skill_ids: ["agRVXlibdx1jF4MUJmjM"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"Create a number sentence using $=$ that is true. How can you prove both sides are equal?","teacherTips":["Both sides must have the same value when calculated, e.g., $3 + 4 = 7$."],"difficulty":"hot"}


example_id: lp_01K93W8N9BMVRRXGAKA6M884PA_01K93W8PR8XH51FYQP5JGF55K2_MULTIPLE_CHOICE_QUESTION
skills: ["Understanding what the equals sign represents"]
skill_ids: ["agRVXlibdx1jF4MUJmjM"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"True or false: The equation $12 + 8 = 20$ is correct.","answerOptions":["True","False"],"answer":"True","difficulty":"mild"}


example_id: lp_01K93W8N9BMVRRXGAKA6M884PA_01K93W8PR8XH51FYQP5DSNEG3H_MULTIPLE_CHOICE_QUESTION
skills: ["Understanding what the equals sign represents"]
skill_ids: ["agRVXlibdx1jF4MUJmjM"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"Which statement shows the correct use of the equals sign?","answerOptions":["$7 + 5 = 12$","$9 - 4 \u003e 5$","$3 \\times 3 \u003c 10$","$15 \\div 3 = 4$"],"answer":"$7 + 5 = 12$","difficulty":"mild"}


example_id: lp_01K93W8N9BMVRRXGAKA6M884PA_01K93W8PAF6XA92SSGTJY12M11_SCAFFOLDED_QUESTION
skills: ["Understanding what the equals sign represents"]
skill_ids: ["agRVXlibdx1jF4MUJmjM"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn that the equals sign ($=$) means 'is the same as'. It shows that both sides of the equation have the same value.","questions":[{"answer":"$5$","question":"What does $5 = 2 + 3$ mean?\nHint: The equals sign means both sides are the same."},{"answer":"$5$ and $2 + 3$ are not equal","question":"Does $7 + 3 = 10$ mean the same as $10 = 7 + 3$?\nHint: The order doesn't matter with the equals sign."},{"answer":"$5$ is bigger than $2 + 3$","question":"Fill in the blank: $8 + 2 = \\underline{\\phantom{0}} + 5$. What number goes in the blank?\nHint: Both sides must have the same value."}],"difficulty":"enabling"}


example_id: lp_01K93W8N9BMVRRXGAKA6M884PA_01K93W8PAF6XA92SSGTQF62S0N_SCAFFOLDED_QUESTION
skills: ["Understanding what the equals sign represents"]
skill_ids: ["agRVXlibdx1jF4MUJmjM"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore the concept of equality by understanding what the equals sign truly represents in different mathematical contexts.","questions":[{"answer":"It’s true due to the distributive property.","question":"What value of $x$ satisfies $7 + x = 15 - 3$?"},{"answer":"$5$","question":"Solve for $y$ if $3y + 4 = 2y + 10$."},{"answer":"$6$","question":"Explain why the equation $2(a + b) = 2a + 2b$ is always true for any values of $a$ and $b$."}],"difficulty":"extension"}


example_id: lp_01K93WEDAWVXVPWPFBJ1TFFE27_01K93WEE3T3392MACZZPYH605W_ACTIVITY
skills: ["Comparing equations and expressions"]
skill_ids: ["9lyO2I1ZDQDqta4L3wUF"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Bowling
class_year: 6
country: US
period_number: 6
node_type: ACTIVITY
example_output_json:
{"header":"Equation or Expression?\nYour team is helping a robot sort math problems into 'equation' or 'expression' boxes!","scenario":"Steps\n1. Write $10$ examples on your paper: $5$ equations and $5$ expressions.\n2. Swap your list with another team and sort their examples into two categories.\n3. Check and discuss whether each example is sorted correctly.\n4. Score $1$ point for each correct sort and lose $1$ point for mistakes.\n5. Team with the most points after $2$ rounds wins!","steps":["Discussion\n• What makes an equation different from an expression?\n• Can an expression become part of an equation? How?","Differentiation Opportunities\n• Support: Provide $3$ pre-written examples to help identify equations and expressions.\n• Extend: Challenge teams to create $2$ tricky examples that might confuse others."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K93WEDAWVXVPWPFBJ1TFFE27_01K93WEE3T3392MAD001CBZ5ZP_CONTEMPLATIVE_QUESTION
skills: ["Comparing equations and expressions"]
skill_ids: ["9lyO2I1ZDQDqta4L3wUF"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Bowling
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"Write two examples of equations and two examples of expressions. How are they similar and different?","teacherTips":["Equations have an equals sign; expressions do not.","Encourage students to focus on the equals sign as a key difference.","Ask students to explain their reasoning with examples."],"difficulty":"mild"}


example_id: lp_01K93WEDAWVXVPWPFBJ1TFFE27_01K93WEE3T3392MAD009FQ0QK6_EXIT_TICKET
skills: ["Comparing equations and expressions"]
skill_ids: ["9lyO2I1ZDQDqta4L3wUF"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Bowling
class_year: 6
country: US
period_number: 6
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"It has an equals sign","question":"How do you know $5x + 3 = 15$ is an equation and not an expression?"},{"answer":"Expression","question":"If the total score in a bowling game is given by $2x + 8$, is this an equation or an expression?"},{"answer":"Equals sign allows solving","question":"If $3x + 10 = 70$ represents the score Joe wants to achieve in bowling, what makes this an equation instead of an expression?"}]}


example_id: lp_01K93WEDAWVXVPWPFBJ1TFFE27_01K93WEE3T3392MACZZNE71F6E_APPLICATION
skills: ["Comparing equations and expressions"]
skill_ids: ["9lyO2I1ZDQDqta4L3wUF"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Bowling
class_year: 6
country: US
period_number: 6
node_type: APPLICATION
example_output_json:
{"title":"Algebra in Bowling Scoring","example1Header":"Situation\nBowling scorekeepers use algebra to calculate and compare scores. They ensure scores are tallied correctly and determine winners.","example1Body":"Example\nA score of $5x + 10 = 60$ is an equation. Solving: $5x + 10 = 60$, subtract $10$: $5x = 50$. Divide: $x = 10$. Each strike scored $10$ points.","example2Header":"","example2Body":""}


example_id: lp_01K93WEDAWVXVPWPFBJ1TFFE27_01K93WEE3T3392MAD004TJ6YG2_THOUGHT_SPARKER
skills: ["Comparing equations and expressions"]
skill_ids: ["9lyO2I1ZDQDqta4L3wUF"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Bowling
class_year: 6
country: US
period_number: 6
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"In a bowling game, the score for two strikes in a row can be written as $2x + 10$, while the total score for three strikes in a row is written as $3x = 90$.","firstSentence":"How could you explain the difference between these two ways of describing scores?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Ask students to identify parts of the equation and expression (e.g., variables, constants, operations).","Encourage students to discuss how equations and expressions are used differently in real-world scenarios.","Use examples or diagrams to show how scores change in bowling, connecting to the math concepts."]}


example_id: lp_01K93WEY8JTJCE3H46AYW2Z3EV_01K93WEZNZ6EMYZV9JFABXN8QZ_CONTEMPLATIVE_QUESTION
skills: ["Comparing equations and expressions"]
skill_ids: ["9lyO2I1ZDQDqta4L3wUF"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"Create two examples: one that is an equation and one that is an expression. How could you explain the difference between them? Can you write another equation and expression that represent the same situation?","teacherTips":["An equation has an equals sign, e.g., $3x + 2 = 11$. An expression does not, e.g., $3x + 2$."],"difficulty":"hot"}


example_id: lp_01K93WEY8JTJCE3H46AYW2Z3EV_01K93WEZNZ6EMYZV9JFFQQ40FS_MULTIPLE_CHOICE_QUESTION
skills: ["Comparing equations and expressions"]
skill_ids: ["9lyO2I1ZDQDqta4L3wUF"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: spicy
example_output_json:
{"question":"Which of the following is an expression and not an equation?","answerOptions":["$4x + 7 = 15$","$3y - 9$","$2a + 5b = 20$","$x^2 - 4 = 0$"],"answer":"$3y - 9$","difficulty":"spicy"}


example_id: lp_01K93WEY8JTJCE3H46AYW2Z3EV_01K93WEZNZ6EMYZV9JFHQDKD07_CONTEMPLATIVE_QUESTION
skills: ["Comparing equations and expressions"]
skill_ids: ["9lyO2I1ZDQDqta4L3wUF"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"Create two different equations and one expression. How would you explain the differences between them?","teacherTips":["Equations link two sides with '=', while expressions only represent a value or computation."],"difficulty":"spicy"}


example_id: lp_01K93WEY8JTJCE3H46AYW2Z3EV_01K93WEZNZ6EMYZV9JF573RRV9_MULTIPLE_CHOICE_QUESTION
skills: ["Comparing equations and expressions"]
skill_ids: ["9lyO2I1ZDQDqta4L3wUF"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"Which of the following is an equation?","answerOptions":["$x + 3$","$4x - 2 = 10$","$5y$","$7z + 1$"],"answer":"$4x - 2 = 10$","difficulty":"mild"}


example_id: lp_01K93WEY8JTJCE3H46AYW2Z3EV_01K93WEZNZ6EMYZV9JF6SNEJAE_MULTIPLE_CHOICE_QUESTION
skills: ["Comparing equations and expressions"]
skill_ids: ["9lyO2I1ZDQDqta4L3wUF"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"Which of the following is an equation?","answerOptions":["$3x + 5$","$4y - 2z$","$5a + 7 = 12$","$2b + 3c - 1$"],"answer":"$5a + 7 = 12$","difficulty":"hot"}


example_id: lp_01K93WEY8JTJCE3H46AYW2Z3EV_01K93WEZ8FK8FZGNGP5TRGWK5B_SCAFFOLDED_QUESTION
skills: ["Comparing equations and expressions"]
skill_ids: ["9lyO2I1ZDQDqta4L3wUF"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn the difference between equations and expressions. Equations always have an equals sign, while expressions do not.","questions":[{"answer":"Expression","question":"What makes an equation different from an expression?"},{"answer":"It has an equals sign","question":"Which of these is an equation?"},{"answer":"It uses only numbers","question":"Is $4x + 7$ an equation or an expression?\nExplain how you know."}],"difficulty":"enabling"}


example_id: lp_01K93WEY8JTJCE3H46AYW2Z3EV_01K93WEZ8FK8FZGNGP5WHQ63MD_SCAFFOLDED_QUESTION
skills: ["Comparing equations and expressions"]
skill_ids: ["9lyO2I1ZDQDqta4L3wUF"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore the relationship between equations and expressions through complex reasoning and algebraic analysis.","questions":[{"answer":"Equivalent only when $x = 2$.","question":"Is the equation $2x + 3 = 11$ equivalent to the expression $2x + 3$ when $x = 4$? Justify your answer."},{"answer":"No, they are not equivalent.","question":"Are the expressions $3(x + 2)$ and $3x + 6$ always equivalent? Explain your reasoning."},{"answer":"Yes, they are always equivalent.","question":"Consider the equation $x^2 - 4 = 0$ and the expression $x - 2$.\nDiscuss whether these are ever equivalent and justify your reasoning."}],"difficulty":"extension"}


example_id: lp_01K93WTQVFAJM2E0Q3055H1569_01K93WTRTF42WMCCNWQDKB4W7N_EXIT_TICKET
skills: ["Identifying the number of terms in a given expression","Understanding like terms"]
skill_ids: ["aYH7Syb1QlMyamxvehuq","01JZ9YD2XF1DRZ1TT2JDEB4GRR"]
subtopics: ["Simplifying"]
subtopic_ids: ["subtopic_01GTC0BKQRRQ55JSNQQ8ZMBD22"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Baseball
class_year: 6
country: US
period_number: 6
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$2$","question":"How many terms are in the expression $5x + 3$?"},{"answer":"Yes","question":"In baseball statistics, are $3x$ and $7x$ considered like terms?"},{"answer":"$4$","question":"How many terms are in the expression $2xy + 5x - 7 + x^2$?"}]}


example_id: lp_01K93WTQVFAJM2E0Q3055H1569_01K93WTRTF42WMCCNWQ9P57C1F_CONTEMPLATIVE_QUESTION
skills: ["Identifying the number of terms in a given expression","Understanding like terms"]
skill_ids: ["aYH7Syb1QlMyamxvehuq","01JZ9YD2XF1DRZ1TT2JDEB4GRR"]
subtopics: ["Simplifying"]
subtopic_ids: ["subtopic_01GTC0BKQRRQ55JSNQQ8ZMBD22"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Baseball
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"Create an expression with exactly 4 terms, using at least 2 like terms. How do you know they are like terms?","teacherTips":["Remind students that terms are separated by + or - signs.","Explain that like terms have the same variable and power.","Encourage students to create their own expressions and explain their reasoning."],"difficulty":"mild"}


example_id: lp_01K93WTQVFAJM2E0Q3055H1569_01K93WTRTF42WMCCNWPRPCNGDQ_ACTIVITY
skills: ["Identifying the number of terms in a given expression","Understanding like terms"]
skill_ids: ["aYH7Syb1QlMyamxvehuq","01JZ9YD2XF1DRZ1TT2JDEB4GRR"]
subtopics: ["Simplifying"]
subtopic_ids: ["subtopic_01GTC0BKQRRQ55JSNQQ8ZMBD22"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Baseball
class_year: 6
country: US
period_number: 6
node_type: ACTIVITY
example_output_json:
{"header":"Term Sorting Challenge\nYou are math detectives sorting and counting terms to crack the code!","scenario":"Steps\n1. Write $10$ terms on paper (e.g., $3x$, $-2y$, $5$, $4x$).\n2. In teams, sort the terms into groups of like terms.\n3. Count the total number of terms in your expression.\n4. Check another team’s work for accuracy.\n5. The team with the most correct groups and term counts wins!","steps":["Discussion\n• Why do like terms have to share the same variable?\n• How do constant terms differ from variable terms?","Differentiation Opportunities\n• Support: Provide examples of like terms (e.g., $2x$ and $5x$).\n• Extend: Create and sort expressions with $3$ or more variables."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K93WTQVFAJM2E0Q3055H1569_01K93WTRTF42WMCCNWQCQ5KTPS_THOUGHT_SPARKER
skills: ["Identifying the number of terms in a given expression","Understanding like terms"]
skill_ids: ["aYH7Syb1QlMyamxvehuq","01JZ9YD2XF1DRZ1TT2JDEB4GRR"]
subtopics: ["Simplifying"]
subtopic_ids: ["subtopic_01GTC0BKQRRQ55JSNQQ8ZMBD22"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Baseball
class_year: 6
country: US
period_number: 6
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"A baseball player tracks their stats using the expression $3h + 2r - 5$, where $h$ represents hits and $r$ represents runs scored.","firstSentence":"How could you determine the number of terms in this expression?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Discuss what separates terms in an expression, such as addition or subtraction symbols.","Encourage students to identify and define each term in the given expression.","Use examples with varying numbers of terms to deepen understanding of the concept."]}


example_id: lp_01K93WTQVFAJM2E0Q3055H1569_01K93WTRTF42WMCCNWPNDG2KPW_APPLICATION
skills: ["Identifying the number of terms in a given expression","Understanding like terms"]
skill_ids: ["aYH7Syb1QlMyamxvehuq","01JZ9YD2XF1DRZ1TT2JDEB4GRR"]
subtopics: ["Simplifying"]
subtopic_ids: ["subtopic_01GTC0BKQRRQ55JSNQQ8ZMBD22"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Baseball
class_year: 6
country: US
period_number: 6
node_type: APPLICATION
example_output_json:
{"title":"Expressions in Baseball Statistics","example1Header":"Situation\nBaseball statisticians analyze player performance by creating and simplifying mathematical expressions. These expressions track hits, runs, and other stats to evaluate players' contributions.","example1Body":"Example\nThe expression $3H + 2R - 5E$ has three terms: $3H$ (hits), $2R$ (runs), and $-5E$ (errors). Statisticians use such expressions to assess players' performances.","example2Header":"","example2Body":""}


example_id: lp_01K93WVQA0FAPMM4BVXKN5W92E_01K93WVRS7QVKHMXAC121CZDFP_MULTIPLE_CHOICE_QUESTION
skills: ["Understanding like terms","Identifying the number of terms in a given expression"]
skill_ids: ["01JZ9YD2XF1DRZ1TT2JDEB4GRR","aYH7Syb1QlMyamxvehuq"]
subtopics: ["Simplifying"]
subtopic_ids: ["subtopic_01GTC0BKQRRQ55JSNQQ8ZMBD22"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"Which of the following pairs are like terms?","answerOptions":["$3x^2$ and $5x$","$2ab$ and $-7ba$","$4xy$ and $4x^2y$","$6m$ and $6mn$"],"answer":"$2ab$ and $-7ba$","difficulty":"hot"}


example_id: lp_01K93WVQA0FAPMM4BVXKN5W92E_01K93WVRS7QVKHMXAC13JQS8GS_MULTIPLE_CHOICE_QUESTION
skills: ["Understanding like terms","Identifying the number of terms in a given expression"]
skill_ids: ["01JZ9YD2XF1DRZ1TT2JDEB4GRR","aYH7Syb1QlMyamxvehuq"]
subtopics: ["Simplifying"]
subtopic_ids: ["subtopic_01GTC0BKQRRQ55JSNQQ8ZMBD22"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: spicy
example_output_json:
{"question":"Which operation would turn $5a^2b$ into a like term with $15ab^2$?","answerOptions":["Multiply by $b$","Divide by $a$","Multiply by $3b$","Divide by $ab$"],"answer":"Multiply by $3b$","difficulty":"spicy"}


example_id: lp_01K93WVQA0FAPMM4BVXKN5W92E_01K93WVRS7QVKHMXAC0WC4H3BW_CONTEMPLATIVE_QUESTION
skills: ["Understanding like terms","Identifying the number of terms in a given expression"]
skill_ids: ["01JZ9YD2XF1DRZ1TT2JDEB4GRR","aYH7Syb1QlMyamxvehuq"]
subtopics: ["Simplifying"]
subtopic_ids: ["subtopic_01GTC0BKQRRQ55JSNQQ8ZMBD22"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You have the terms $3x$, $5y$, $7x$, and $4y$. How could you group them as like terms? Why?","teacherTips":["Group $3x$ and $7x$ as like terms, and $5y$ and $4y$ as like terms; same variable and power."],"difficulty":"mild"}


example_id: lp_01K93WVQA0FAPMM4BVXKN5W92E_01K93WVRS7QVKHMXAC08AJZY64_CONTEMPLATIVE_QUESTION
skills: ["Understanding like terms","Identifying the number of terms in a given expression"]
skill_ids: ["01JZ9YD2XF1DRZ1TT2JDEB4GRR","aYH7Syb1QlMyamxvehuq"]
subtopics: ["Simplifying"]
subtopic_ids: ["subtopic_01GTC0BKQRRQ55JSNQQ8ZMBD22"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"Create your own expression with at least 3 terms and explain how you know the number of terms it has.","teacherTips":["Terms are separated by $+$ or $-$ signs. For example, $3x + 5 - 2y$ has 3 terms: $3x$, $5$, $-2y$."],"difficulty":"mild"}


example_id: lp_01K93WVQA0FAPMM4BVXKN5W92E_01K93WVRS7QVKHMXAC02JM9VFV_MULTIPLE_CHOICE_QUESTION
skills: ["Understanding like terms","Identifying the number of terms in a given expression"]
skill_ids: ["01JZ9YD2XF1DRZ1TT2JDEB4GRR","aYH7Syb1QlMyamxvehuq"]
subtopics: ["Simplifying"]
subtopic_ids: ["subtopic_01GTC0BKQRRQ55JSNQQ8ZMBD22"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"How many terms are in the expression $3x + 5 - 2y$?","answerOptions":["$2$","$3$","$4$","$5$"],"answer":"$3$","difficulty":"mild"}


example_id: lp_01K93WVQA0FAPMM4BVXKN5W92E_01K93WVR839YEQQ378ENMX475N_SCAFFOLDED_QUESTION
skills: ["Understanding like terms","Identifying the number of terms in a given expression"]
skill_ids: ["01JZ9YD2XF1DRZ1TT2JDEB4GRR","aYH7Syb1QlMyamxvehuq"]
subtopics: ["Simplifying"]
subtopic_ids: ["subtopic_01GTC0BKQRRQ55JSNQQ8ZMBD22"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Analyze algebraic expressions to identify and understand terms and like terms.","questions":[{"answer":"Like terms: $7x^2y$ and $5x^2y$; $4$ and $-2$.","question":"How many terms are in the expression $3x + 5y - 7$?"},{"answer":"$3$","question":"How many terms are in the expression $2(a + b) - 4c$ after simplifying?"},{"answer":"$3$","question":"Consider the expression $7x^2y - 3xy + 5x^2y + 4 - 2$.\nIdentify all like terms and justify your classification."}],"difficulty":"extension"}


example_id: lp_01K93WVQA0FAPMM4BVXKN5W92E_01K93WVR839YEQQ378EDXHREK5_SCAFFOLDED_QUESTION
skills: ["Understanding like terms","Identifying the number of terms in a given expression"]
skill_ids: ["01JZ9YD2XF1DRZ1TT2JDEB4GRR","aYH7Syb1QlMyamxvehuq"]
subtopics: ["Simplifying"]
subtopic_ids: ["subtopic_01GTC0BKQRRQ55JSNQQ8ZMBD22"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn to identify terms in an expression. Terms are separated by addition and subtraction signs.","questions":[{"answer":"$4$","question":"How many terms are in the expression $2x + 3$?"},{"answer":"$1$","question":"How many terms are in the expression $4y - 2 + 7x$?"},{"answer":"$2$","question":"How many terms are in the expression $5a + 3b - 7 + c$?"}],"difficulty":"enabling"}


example_id: lp_01K93X18TMHYFQNSQVKK2BG73Y_01K93X19QY7BHQ0ADEKP8FKSWT_CONTEMPLATIVE_QUESTION
skills: ["Understanding what variables represent","Defining constants and coefficients"]
skill_ids: ["RUGdJj9e9YzXG9q8odir","8NGmLAtVpwt3K2AyvLqc"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Spaceships
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"Create an expression to represent the total cost of $x$ apples at $\\$2$ each and $\\$5$ for a basket. What do $x$, $2$, and $5$ represent?","teacherTips":["Guide students to define $x$ as the number of apples.","Explain that $2$ is the cost per apple and $5$ is a fixed cost.","Encourage students to connect variables to real-life situations."],"difficulty":"mild"}


example_id: lp_01K93X18TMHYFQNSQVKK2BG73Y_01K93X19QY7BHQ0ADEKX9N65KN_EXIT_TICKET
skills: ["Understanding what variables represent","Defining constants and coefficients"]
skill_ids: ["RUGdJj9e9YzXG9q8odir","8NGmLAtVpwt3K2AyvLqc"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Spaceships
class_year: 6
country: US
period_number: 6
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$5$","question":"If a spaceship travels at $3v + 5$, what is the constant in this expression?"},{"answer":"Spaceship's speed","question":"A spaceship's speed is given by $2x$, where $x$ represents the time in seconds. What does $2x$ represent?"},{"answer":"Fuel consumption rate per hour","question":"A spaceship's fuel consumption is modeled as $10t + 50$, where $t$ is time in hours. What does the coefficient of $t$ represent?"}]}


example_id: lp_01K93X18TMHYFQNSQVKK2BG73Y_01K93X19QY7BHQ0ADEK6YQD8N8_ACTIVITY
skills: ["Understanding what variables represent","Defining constants and coefficients"]
skill_ids: ["RUGdJj9e9YzXG9q8odir","8NGmLAtVpwt3K2AyvLqc"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Spaceships
class_year: 6
country: US
period_number: 6
node_type: ACTIVITY
example_output_json:
{"header":"Math Code Breakers\nYour team creates a secret math code using variables and coefficients!","scenario":"Steps\n1. Write an equation like $3x + 4 = 19$ on paper to create your math code.\n2. Define what $x$ represents (e.g., $x$ is the number of apples).\n3. Another team solves your equation to find $x$ and decode the message.\n4. Check their solution and explain the roles of constants and coefficients.\n5. Switch roles! Solve their math code and see who decodes fastest!","steps":["Discussion\n• What happens if you change the coefficient of $x$?\n• Why is it important to define constants and variables clearly?","Differentiation Opportunities\n• Support: Use simple equations like $x + 2 = 5$ with small numbers.\n• Extend: Include two variables, like $3x + 2y = 14$, for added challenge."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K93X18TMHYFQNSQVKK2BG73Y_01K93X19QY7BHQ0ADEK1SZFGMA_APPLICATION
skills: ["Understanding what variables represent","Defining constants and coefficients"]
skill_ids: ["RUGdJj9e9YzXG9q8odir","8NGmLAtVpwt3K2AyvLqc"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Spaceships
class_year: 6
country: US
period_number: 6
node_type: APPLICATION
example_output_json:
{"title":"Understanding Variables in Spaceship Fuel Design","example1Header":"Situation\nSpaceship engineers design fuel systems using variables. Variables represent changing factors like distance, weight, and fuel needed for space travel.","example1Body":"Example\nIf $f = 10$ gallons for $d = 5$ miles and $w = 2$ tons, engineers know $f$ changes if $d$ or $w$ changes, making $f$ a variable for fuel needs.","example2Header":"","example2Body":""}


example_id: lp_01K93X18TMHYFQNSQVKK2BG73Y_01K93X19QY7BHQ0ADEKS2RBE5B_THOUGHT_SPARKER
skills: ["Understanding what variables represent","Defining constants and coefficients"]
skill_ids: ["RUGdJj9e9YzXG9q8odir","8NGmLAtVpwt3K2AyvLqc"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Spaceships
class_year: 6
country: US
period_number: 6
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"A spaceship travels $d = 5f + 20$, where $d$ is the distance in light-years, $f$ is the amount of fuel in liters, $5$ is the fuel efficiency, and $20$ is the initial boost provided by the launch.","firstSentence":"What does the variable $f$ represent in this equation, and how does it affect the total distance $d$?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Ask students to identify and classify each part of the equation as a constant, coefficient, or variable.","Encourage discussion about how changes in $f$ impact $d$ and why the initial boost is fixed.","Use real-world analogies, like car mileage, to help students connect variables and coefficients to practical scenarios."]}


example_id: lp_01K93X1V4KHTZMGTE05T86K2KN_01K93X1WFP8BF6WZG66SM3TG7P_MULTIPLE_CHOICE_QUESTION
skills: ["Understanding what variables represent","Defining constants and coefficients"]
skill_ids: ["RUGdJj9e9YzXG9q8odir","8NGmLAtVpwt3K2AyvLqc"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"A box contains $5x$ apples, where $x$ is the number of baskets. What does $x$ represent?","answerOptions":["The total number of apples","The number of apples per basket","The number of baskets","The average number of apples"],"answer":"The number of baskets","difficulty":"hot"}


example_id: lp_01K93X1V4KHTZMGTE05T86K2KN_01K93X1WFP8BF6WZG66Y4K88S1_CONTEMPLATIVE_QUESTION
skills: ["Understanding what variables represent","Defining constants and coefficients"]
skill_ids: ["RUGdJj9e9YzXG9q8odir","8NGmLAtVpwt3K2AyvLqc"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"Design a rule involving a variable, such as $y = x + 5$. How could you explain what $x$ and $y$ represent? Create a real-world scenario to show how the rule works.","teacherTips":["$x$ is the input (e.g., number of items). $y$ is the result (e.g., cost). Test values like $x = 3$."],"difficulty":"spicy"}


example_id: lp_01K93X1V4KHTZMGTE05T86K2KN_01K93X1WFP8BF6WZG67VNX9JWP_CONTEMPLATIVE_QUESTION
skills: ["Understanding what variables represent","Defining constants and coefficients"]
skill_ids: ["RUGdJj9e9YzXG9q8odir","8NGmLAtVpwt3K2AyvLqc"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"Design an equation using constants and coefficients to represent a real-life scenario. How would you explain the meaning of each constant and coefficient in your equation?","teacherTips":["Constants are fixed values; coefficients multiply variables. Example: $\\$5x + 10$ for $x$ tickets at $\\$5$ each."],"difficulty":"spicy"}


example_id: lp_01K93X1V4KHTZMGTE05T86K2KN_01K93X1WFP8BF6WZG67P3VCDYH_MULTIPLE_CHOICE_QUESTION
skills: ["Understanding what variables represent","Defining constants and coefficients"]
skill_ids: ["RUGdJj9e9YzXG9q8odir","8NGmLAtVpwt3K2AyvLqc"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"In the expression $6x + 4$, what is the constant?","answerOptions":["$6$","$x$","$4$","$10$"],"answer":"$4$","difficulty":"mild"}


example_id: lp_01K93X1V4KHTZMGTE05T86K2KN_01K93X1WFP8BF6WZG67MM9C01G_MULTIPLE_CHOICE_QUESTION
skills: ["Understanding what variables represent","Defining constants and coefficients"]
skill_ids: ["RUGdJj9e9YzXG9q8odir","8NGmLAtVpwt3K2AyvLqc"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"In the expression $3x + 7$, what is the coefficient of $x$?","answerOptions":["$3$","$7$","$x$","$10$"],"answer":"$3$","difficulty":"mild"}


example_id: lp_01K93X1V4KHTZMGTE05T86K2KN_01K93X1W1S04TKMC4N7M5E86YB_SCAFFOLDED_QUESTION
skills: ["Understanding what variables represent","Defining constants and coefficients"]
skill_ids: ["RUGdJj9e9YzXG9q8odir","8NGmLAtVpwt3K2AyvLqc"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore variables, coefficients, and constants in complex real-world equations.","questions":[{"answer":"Answers will vary; must include justification.","question":"In the equation $3x + 5 = 20$, identify the coefficient of $x$ and the constant term."},{"answer":"Coefficient: $3$, Constant: $5$","question":"In the equation $4a - 7b + 9 = 0$, identify the coefficient of $a$, the coefficient of $b$, and the constant term."},{"answer":"Coefficient of $a$: $4$, Coefficient of $b$: $-7$, Constant: $9$","question":"Create an equation involving two variables, coefficients, and a constant. Explain which part of your equation is the coefficient, constant, and variable."}],"difficulty":"extension"}


example_id: lp_01K93X1V4KHTZMGTE05T86K2KN_01K93X1W1S04TKMC4N7EGJE64T_SCAFFOLDED_QUESTION
skills: ["Understanding what variables represent","Defining constants and coefficients"]
skill_ids: ["RUGdJj9e9YzXG9q8odir","8NGmLAtVpwt3K2AyvLqc"]
subtopics: ["Introduction to Algebra"]
subtopic_ids: ["subtopic_01GTC0BE35P2K35JX8J77CEGV7"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn about constants, coefficients, and variables in algebra. A constant is a fixed number, a coefficient is the number in front of a variable, and a variable represents an unknown value.","questions":[{"answer":"Coefficient: $6$, Constant: $9$","question":"What is the constant in the expression $4x + 7$?"},{"answer":"$4$","question":"What is the coefficient of $x$ in the expression $5x + 3$?"},{"answer":"$7$","question":"In the expression $6x + 9$, what is the coefficient and what is the constant?"}],"difficulty":"enabling"}


example_id: lp_01K93X78PF91E1PWPGKSGD2QBR_01K93X79Q00WDVS457P2RWJ3R2_EXIT_TICKET
skill_ids: ["jeKVaNbqKcfZTANagQdL","CxQJSGgY0VuakzASgffH"]
subtopics: ["Solving Basic Equations"]
subtopic_ids: ["subtopic_01GTC0BJN0FMS2XBQJX8F1AK86"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Avengers
class_year: 6
country: US
period_number: 6
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$x = 7$","question":"Iron Man has $x + 5 = 12$ suits of armor. How many suits does he have without the additional $5$?"},{"answer":"$x = 12$","question":"Black Widow completes training missions in $2x = 24$ hours. How long does each mission take?"},{"answer":"$x = 45$","question":"Thor's hammer weighs $\\frac{x}{3} = 15$ tons. What is its total weight?"}]}

skills:
["Solving one-step algebraic equations involving multiplication or division","Solving one-step algebraic equations involving addition and subtraction"]


example_id: lp_01K93X78PF91E1PWPGKSGD2QBR_01K93X79Q00WDVS457NJQZ3ZKX_ACTIVITY
skill_ids: ["jeKVaNbqKcfZTANagQdL","CxQJSGgY0VuakzASgffH"]
subtopics: ["Solving Basic Equations"]
subtopic_ids: ["subtopic_01GTC0BJN0FMS2XBQJX8F1AK86"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Avengers
class_year: 6
country: US
period_number: 6
node_type: ACTIVITY
example_output_json:
{"header":"Equation Chef Challenge\nYou're chefs adjusting recipes! Solve equations to find missing ingredients.","scenario":"Steps\n1. Write $5$ one-step equations (e.g., $x + 3 = 10$, $4x = 20$).\n2. Exchange your equations with another team to solve them.\n3. Solve each equation step by step to find the missing value.\n4. Check each other's solutions for accuracy to earn points.\n5. The team with the most points wins the Chef Challenge!","steps":["Discussion\n• Why is it important to use inverse operations to solve equations?\n• How can you check if your solution to an equation is correct?","Differentiation Opportunities\n• Support: Use simpler equations like $x + 2 = 5$ or $3x = 9$ for practice.\n• Extend: Create equations with fractions or decimals, like $x/2 = 4.5$."],"discussion":[],"differentiation":{"support":"","extend":""}}

skills:
["Solving one-step algebraic equations involving multiplication or division","Solving one-step algebraic equations involving addition and subtraction"]


example_id: lp_01K93X78PF91E1PWPGKSGD2QBR_01K93X79Q00WDVS457NWNNBQJ8_CONTEMPLATIVE_QUESTION
skill_ids: ["jeKVaNbqKcfZTANagQdL","CxQJSGgY0VuakzASgffH"]
subtopics: ["Solving Basic Equations"]
subtopic_ids: ["subtopic_01GTC0BJN0FMS2XBQJX8F1AK86"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Avengers
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You are designing a poster. The width is $x + 5$ inches, and it must total $12$ inches wide. What is $x$? How could you solve this using subtraction? What if the total width was doubled?","teacherTips":["Guide students to subtract $5$ from both sides: $x + 5 - 5 = 12 - 5$.","Encourage exploring how doubling affects the equation: $2(x + 5) = 24$.","Discuss how addition and subtraction are inverse operations."],"difficulty":"mild"}

skills:
["Solving one-step algebraic equations involving multiplication or division","Solving one-step algebraic equations involving addition and subtraction"]


example_id: lp_01K93X78PF91E1PWPGKSGD2QBR_01K93X79Q00WDVS457NEABPGFQ_APPLICATION
skill_ids: ["jeKVaNbqKcfZTANagQdL","CxQJSGgY0VuakzASgffH"]
subtopics: ["Solving Basic Equations"]
subtopic_ids: ["subtopic_01GTC0BJN0FMS2XBQJX8F1AK86"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Avengers
class_year: 6
country: US
period_number: 6
node_type: APPLICATION
example_output_json:
{"title":"Calculating Shield Radius with Captain America","example1Header":"Situation\nCaptain America's shield designers must calculate sizes for various shield models. Knowing the shield's radius helps determine its protective area.","example1Body":"Example\nTo find the radius of a circular shield with area $314$ square inches, solve $r^2 = 314 / 3.14 = 100$. The radius is $r = \\sqrt{100} = 10$ inches.","example2Header":"","example2Body":""}


example_id: lp_01K93X78PF91E1PWPGKSGD2QBR_01K93X79Q00WDVS457NZ86T7Z0_THOUGHT_SPARKER
skill_ids: ["jeKVaNbqKcfZTANagQdL","CxQJSGgY0VuakzASgffH"]
subtopics: ["Solving Basic Equations"]
subtopic_ids: ["subtopic_01GTC0BJN0FMS2XBQJX8F1AK86"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Avengers
class_year: 6
country: US
period_number: 6
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"Iron Man's suit has an energy reserve of $500$ units, and he uses $x$ units to power his flight system, leaving $350$ units for other systems.","firstSentence":"How could you find out how many units of energy Iron Man's flight system uses?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Encourage students to write the equation $500 - x = 350$ and solve for $x$.","Discuss how subtraction equations can be rewritten as addition to make solving easier.","Have students explain their reasoning step by step to ensure they understand the process."]}


example_id: lp_01K93X7V0HGGSCKB1KK5ES3VSM_01K93X7WF5KH7N6PB0AXZ9QGAF_CONTEMPLATIVE_QUESTION
skill_ids: ["CxQJSGgY0VuakzASgffH","jeKVaNbqKcfZTANagQdL"]
subtopics: ["Solving Basic Equations"]
subtopic_ids: ["subtopic_01GTC0BJN0FMS2XBQJX8F1AK86"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"You found $\\$50$ and want to save some. If $x + 15 = 50$, how much did you save? What if $x - 10 = 50$?","teacherTips":["For $x + 15 = 50$, $x = 35$. For $x - 10 = 50$, $x = 60$. Verify by substituting back."],"difficulty":"spicy"}

skills:
["Solving one-step algebraic equations involving addition and subtraction","Solving one-step algebraic equations involving multiplication or division"]


example_id: lp_01K93X7V0HGGSCKB1KK5ES3VSM_01K93X7WF5KH7N6PB0ANFFQYBP_MULTIPLE_CHOICE_QUESTION
skill_ids: ["CxQJSGgY0VuakzASgffH","jeKVaNbqKcfZTANagQdL"]
subtopics: ["Solving Basic Equations"]
subtopic_ids: ["subtopic_01GTC0BJN0FMS2XBQJX8F1AK86"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"Solve for $x$: $x + 7 = 15$.","answerOptions":["$7$","$8$","$9$","$10$"],"answer":"$8$","difficulty":"mild"}

skills:
["Solving one-step algebraic equations involving addition and subtraction","Solving one-step algebraic equations involving multiplication or division"]


example_id: lp_01K93X7V0HGGSCKB1KK5ES3VSM_01K93X7WF5KH7N6PB0ATH4F42K_MULTIPLE_CHOICE_QUESTION
skill_ids: ["CxQJSGgY0VuakzASgffH","jeKVaNbqKcfZTANagQdL"]
subtopics: ["Solving Basic Equations"]
subtopic_ids: ["subtopic_01GTC0BJN0FMS2XBQJX8F1AK86"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"Solve for $x$: $x + 7 = 15$.","answerOptions":["$8$","$7$","$22$","$15$"],"answer":"$8$","difficulty":"mild"}

skills:
["Solving one-step algebraic equations involving addition and subtraction","Solving one-step algebraic equations involving multiplication or division"]


example_id: lp_01K93X7V0HGGSCKB1KK5ES3VSM_01K93X7WF5KH7N6PB09SXD5GWM_MULTIPLE_CHOICE_QUESTION
skill_ids: ["CxQJSGgY0VuakzASgffH","jeKVaNbqKcfZTANagQdL"]
subtopics: ["Solving Basic Equations"]
subtopic_ids: ["subtopic_01GTC0BJN0FMS2XBQJX8F1AK86"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"Solve for $x$: $7x = 35$.","answerOptions":["$x = 3$","$x = 5$","$x = 7$","$x = 14$"],"answer":"$x = 5$","difficulty":"mild"}


example_id: lp_01K93X7V0HGGSCKB1KK5ES3VSM_01K93X7WF5KH7N6PB09WRT4DRG_MULTIPLE_CHOICE_QUESTION
skill_ids: ["CxQJSGgY0VuakzASgffH","jeKVaNbqKcfZTANagQdL"]
subtopics: ["Solving Basic Equations"]
subtopic_ids: ["subtopic_01GTC0BJN0FMS2XBQJX8F1AK86"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"Solve for $x$: $7x = 42$","answerOptions":["$x = 5$","$x = 6$","$x = 7$","$x = 8$"],"answer":"$x = 6$","difficulty":"mild"}


example_id: lp_01K93X7V0HGGSCKB1KK5ES3VSM_01K93X7WF5KH7N6PB09ZTM7ZG5_CONTEMPLATIVE_QUESTION
skill_ids: ["CxQJSGgY0VuakzASgffH","jeKVaNbqKcfZTANagQdL"]
subtopics: ["Solving Basic Equations"]
subtopic_ids: ["subtopic_01GTC0BJN0FMS2XBQJX8F1AK86"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"A recipe calls for $4x = 32$ cups of flour for $x$ batches. How many cups for $1$, $3$, and $5$ batches? Explain.","teacherTips":["Solve $4x = 32$: $x = 8$. $1$ batch needs $8$ cups, $3$ batches need $24$, $5$ batches need $40$."],"difficulty":"hot"}


example_id: lp_01K93X7V0HGGSCKB1KK5ES3VSM_01K93X7VZ5N1FQJGW30H1YR1JA_SCAFFOLDED_QUESTION
skill_ids: ["CxQJSGgY0VuakzASgffH","jeKVaNbqKcfZTANagQdL"]
subtopics: ["Solving Basic Equations"]
subtopic_ids: ["subtopic_01GTC0BJN0FMS2XBQJX8F1AK86"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Challenge yourself with solving one-step algebraic equations using addition, subtraction, multiplication, and division.","questions":[{"answer":"Divide $315$ by $7$ to find $n = 45$.","question":"Solve for $x$: $x + 72 = 150$. What is $x$?"},{"answer":"$78$","question":"Solve for $y$: $y \\div 8 = 56$. What is $y$?"},{"answer":"$448$","question":"A bakery sold $n$ cupcakes each day for $7$ days, totaling $315$ cupcakes sold. Explain how to find $n$ and justify your solution."}],"difficulty":"extension"}


example_id: lp_01K93X7V0HGGSCKB1KK5ES3VSM_01K93X7VZ5N1FQJGW30C11JNV2_SCAFFOLDED_QUESTION
skill_ids: ["CxQJSGgY0VuakzASgffH","jeKVaNbqKcfZTANagQdL"]
subtopics: ["Solving Basic Equations"]
subtopic_ids: ["subtopic_01GTC0BJN0FMS2XBQJX8F1AK86"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn how to solve one-step equations involving addition, subtraction, multiplication, and division.","questions":[{"answer":"$5$","question":"Solve for $x$: $x + 3 = 8$.\nWhat is $x$?"},{"answer":"$5$","question":"Solve for $x$: $x - 4 = 6$.\nWhat is $x$?"},{"answer":"$8$","question":"Solve for $x$: $3x = 15$.\nWhat is $x$?"}],"difficulty":"enabling"}


example_id: lp_01K93XCFPR5CZB5GY31C2CBVAC_01K93XCGEKT26KFZ0ZRJ1CSGHC_CONTEMPLATIVE_QUESTION
skills: ["Solving linear inequalities","Forming inequalities from worded problems"]
skill_ids: ["oeH4xPzMvOQwnIlVgKUw","sYCva5Cd383yQ8r6hk9p"]
subtopics: ["Linear Inequalities"]
subtopic_ids: ["subtopic_01GTC0BMDSM8R5HNPYMZYR72T3"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Electric Vehicles
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"A concert venue can hold at most $300$ people. If $x$ is the number of tickets sold, how would you write an inequality to show this? What are possible values for $x$? Explain your reasoning.","teacherTips":["Guide students to understand 'at most' means $x$ can be $300$ or less.","Encourage exploring values that satisfy $x \\leq 300$.","Discuss how the inequality connects to real-world limits like seating."],"difficulty":"mild"}


example_id: lp_01K93XCFPR5CZB5GY31C2CBVAC_01K93XCGEKT26KFZ0ZRQF4R1R2_EXIT_TICKET
skills: ["Solving linear inequalities","Forming inequalities from worded problems"]
skill_ids: ["oeH4xPzMvOQwnIlVgKUw","sYCva5Cd383yQ8r6hk9p"]
subtopics: ["Linear Inequalities"]
subtopic_ids: ["subtopic_01GTC0BMDSM8R5HNPYMZYR72T3"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Electric Vehicles
class_year: 6
country: US
period_number: 6
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$d \\leq 250$","question":"An electric vehicle can travel up to $250$ miles on a full charge. Write an inequality to show the distance $d$ it can travel."},{"answer":"$x \\geq 30$","question":"The battery of an electric car lasts $4x + 60$ minutes. If it should last at least $180$ minutes, find the minimum value of $x$."},{"answer":"$x \u003c 200$","question":"An electric vehicle costs $20x + 500$ dollars. If the price must remain under $\\$4\\,500$, solve for the maximum value of $x$."}]}


example_id: lp_01K93XCFPR5CZB5GY31C2CBVAC_01K93XCGEKT26KFZ0ZR28NN9KQ_ACTIVITY
skills: ["Solving linear inequalities","Forming inequalities from worded problems"]
skill_ids: ["oeH4xPzMvOQwnIlVgKUw","sYCva5Cd383yQ8r6hk9p"]
subtopics: ["Linear Inequalities"]
subtopic_ids: ["subtopic_01GTC0BMDSM8R5HNPYMZYR72T3"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Electric Vehicles
class_year: 6
country: US
period_number: 6
node_type: ACTIVITY
example_output_json:
{"header":"Inequality Challenge\nYou are helping a café set rules for serving customers, using inequalities to solve problems.","scenario":"Steps\n1. Write a word problem about café rules, like 'at least $5$ orders per hour.'\n2. Turn your problem into an inequality (e.g., $x \\geq 5$).\n3. Swap your inequality with another team to solve it.\n4. Check each other's work and discuss the solutions.\n5. Score $1$ point for correct problems and solutions!","steps":["Discussion\n• How did you decide which inequality symbol to use?\n• What real-life problems can be solved with inequalities?","Differentiation Opportunities\n• Support: Provide example inequalities to guide forming their own.\n• Extend: Create multi-step word problems requiring two inequalities."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K93XCFPR5CZB5GY31C2CBVAC_01K93XCGEKT26KFZ0ZRQ55F8W4_THOUGHT_SPARKER
skills: ["Solving linear inequalities","Forming inequalities from worded problems"]
skill_ids: ["oeH4xPzMvOQwnIlVgKUw","sYCva5Cd383yQ8r6hk9p"]
subtopics: ["Linear Inequalities"]
subtopic_ids: ["subtopic_01GTC0BMDSM8R5HNPYMZYR72T3"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Electric Vehicles
class_year: 6
country: US
period_number: 6
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"An electric vehicle can travel up to $250$ miles on a full charge, but the driver wants to ensure they always have at least $50$ miles of charge left before recharging.","firstSentence":"How would you write an inequality to represent the distance the driver can safely travel before needing to recharge?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Discuss what the term 'at least' means and how it translates into an inequality symbol.","Provide examples of other real-life situations where inequalities are used for safety or limits.","Encourage students to explain their reasoning for the inequality they write, connecting it to the scenario."]}


example_id: lp_01K93XCFPR5CZB5GY31C2CBVAC_01K93XCGEKT26KFZ0ZQZX85N83_APPLICATION
skills: ["Solving linear inequalities","Forming inequalities from worded problems"]
skill_ids: ["oeH4xPzMvOQwnIlVgKUw","sYCva5Cd383yQ8r6hk9p"]
subtopics: ["Linear Inequalities"]
subtopic_ids: ["subtopic_01GTC0BMDSM8R5HNPYMZYR72T3"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
context: Electric Vehicles
class_year: 6
country: US
period_number: 6
node_type: APPLICATION
example_output_json:
{"title":"Battery Range Planning for Electric Vehicles","example1Header":"Situation\nEngineers working on electric vehicles use inequalities to estimate travel range based on battery charge and energy usage, ensuring drivers can safely complete trips.","example1Body":"Example\nEngineers ensure a car with $300$ miles of battery range can handle a trip of less than $250$ miles by checking $x \u003c 250$. This leaves a $50$-mile buffer for safety.","example2Header":"","example2Body":""}


example_id: lp_01K93XD1QNQ6G16SGXHHXWQ7HX_01K93XD3B6AWVW0JS2KWBZ99HM_MULTIPLE_CHOICE_QUESTION
skills: ["Forming inequalities from worded problems","Solving linear inequalities"]
skill_ids: ["sYCva5Cd383yQ8r6hk9p","oeH4xPzMvOQwnIlVgKUw"]
subtopics: ["Linear Inequalities"]
subtopic_ids: ["subtopic_01GTC0BMDSM8R5HNPYMZYR72T3"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"A concert hall has a capacity of $500$ people. If $x$ tickets are sold, which inequality shows that the concert is not over capacity?","answerOptions":["$x \u003c 500$","$x \\leq 500$","$x \\geq 500$","$x \u003e 500$"],"answer":"$x \\leq 500$","difficulty":"hot"}


example_id: lp_01K93XD1QNQ6G16SGXHHXWQ7HX_01K93XD3B6AWVW0JS2KZ59FZR7_CONTEMPLATIVE_QUESTION
skills: ["Forming inequalities from worded problems","Solving linear inequalities"]
skill_ids: ["sYCva5Cd383yQ8r6hk9p","oeH4xPzMvOQwnIlVgKUw"]
subtopics: ["Linear Inequalities"]
subtopic_ids: ["subtopic_01GTC0BMDSM8R5HNPYMZYR72T3"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"You are designing gift bags for a party. Each bag must have at least $3$ candies but no more than $10$. Write an inequality for the total candies in $n$ bags. How would your inequality change if each bag had $2$ more candies?","teacherTips":["For $n$ bags, $3n \\leq \\text{total candies} \\leq 10n$. Adding $2$ gives $(3+2)n \\leq \\text{total candies} \\leq (10+2)n$."],"difficulty":"spicy"}


example_id: lp_01K93XD1QNQ6G16SGXHHXWQ7HX_01K93XD3B77VKGD1RWP7QSCTD1_MULTIPLE_CHOICE_QUESTION
skills: ["Forming inequalities from worded problems","Solving linear inequalities"]
skill_ids: ["sYCva5Cd383yQ8r6hk9p","oeH4xPzMvOQwnIlVgKUw"]
subtopics: ["Linear Inequalities"]
subtopic_ids: ["subtopic_01GTC0BMDSM8R5HNPYMZYR72T3"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"Which of the following values of $x$ satisfies the inequality $5x - 3 \\leq 12$?","answerOptions":["$x = 4$","$x = 3$","$x = 2$","$x = 5$"],"answer":"$x = 3$","difficulty":"mild"}


example_id: lp_01K93XD1QNQ6G16SGXHHXWQ7HX_01K93XD3B77VKGD1RWPJJF8TS1_CONTEMPLATIVE_QUESTION
skills: ["Forming inequalities from worded problems","Solving linear inequalities"]
skill_ids: ["sYCva5Cd383yQ8r6hk9p","oeH4xPzMvOQwnIlVgKUw"]
subtopics: ["Linear Inequalities"]
subtopic_ids: ["subtopic_01GTC0BMDSM8R5HNPYMZYR72T3"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: spicy
example_output_json:
{"question":"You have $\\$50$ to spend at a carnival. Games cost $\\$3$ each and snacks cost $\\$5$ each. Write an inequality to show the combinations of games and snacks you can afford. How would you decide what to buy?","teacherTips":["The inequality is $3x + 5y \\leq 50$. Test values for $x$ and $y$ to find combinations within budget."],"difficulty":"spicy"}


example_id: lp_01K93XD1QNQ6G16SGXHHXWQ7HX_01K93XD3B77VKGD1RWPB9BQXTS_MULTIPLE_CHOICE_QUESTION
skills: ["Forming inequalities from worded problems","Solving linear inequalities"]
skill_ids: ["sYCva5Cd383yQ8r6hk9p","oeH4xPzMvOQwnIlVgKUw"]
subtopics: ["Linear Inequalities"]
subtopic_ids: ["subtopic_01GTC0BMDSM8R5HNPYMZYR72T3"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"Which of the following is a solution to the inequality $x+3\u003c8$?","answerOptions":["$x=5$","$x=4$","$x=3$","$x=6$"],"answer":"$x=4$","difficulty":"mild"}


example_id: lp_01K93XD1QNQ6G16SGXHHXWQ7HX_01K93XD2Q2QK2XVKE6EHVX09QW_SCAFFOLDED_QUESTION
skills: ["Forming inequalities from worded problems","Solving linear inequalities"]
skill_ids: ["sYCva5Cd383yQ8r6hk9p","oeH4xPzMvOQwnIlVgKUw"]
subtopics: ["Linear Inequalities"]
subtopic_ids: ["subtopic_01GTC0BMDSM8R5HNPYMZYR72T3"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn to write and solve simple inequalities from word problems. Inequalities use symbols like $\u003e$, $\u003c$, $\\geq$, and $\\leq$.","questions":[{"answer":"$x \u003e 120$","question":"Sarah has more than $5$ apples.\nWhich inequality represents this situation?"},{"answer":"$x = 5$","question":"Liam can spend at most $\\$20$ on lunch.\nWhich inequality represents this situation?"},{"answer":"$x \u003e 5$","question":"Tommy is taller than $120$ cm.\nWrite an inequality to represent Tommy's height in cm."}],"difficulty":"enabling"}


example_id: lp_01K93XD1QNQ6G16SGXHHXWQ7HX_01K93XD2Q2QK2XVKE6EPHCWR0W_SCAFFOLDED_QUESTION
skills: ["Forming inequalities from worded problems","Solving linear inequalities"]
skill_ids: ["sYCva5Cd383yQ8r6hk9p","oeH4xPzMvOQwnIlVgKUw"]
subtopics: ["Linear Inequalities"]
subtopic_ids: ["subtopic_01GTC0BMDSM8R5HNPYMZYR72T3"]
topic: Expressions and Equations
topic_id: 400da232-1e8c-428b-beab-c4f62fce58de
class_year: 6
country: US
period_number: 6
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore forming and solving linear inequalities from real-world scenarios.","questions":[{"answer":"$x + y \\leq 100$, $80x + 50y \\leq 6\\,000$, $x \u003e y$","question":"A theater requires at least $250$ tickets sold to cover costs. Let $x$ represent the number of tickets sold. Write an inequality for this situation."},{"answer":"$x \\geq 250$","question":"A school is selling tickets for $\\$5$ each. The goal is to raise more than $\\$1\\,500$. Write and solve an inequality for the number of tickets, $x$, needed."},{"answer":"$x \u003e 300$","question":"A farmer has at most $100$ acres to plant crops. Each acre of corn costs $\\$80$ to cultivate, and each acre of wheat costs $\\$50$. If the farmer has a budget of $\\$6\\,000$ and wants to plant more corn than wheat, write and justify a system of inequalities to model this scenario."}],"difficulty":"extension"}


example_id: lp_01K93XHH18GY6QHBFQYNW16ADM_01K93XHHZATJE64Y023BVR57NZ_THOUGHT_SPARKER
skills: ["Understanding independent and dependent variables"]
skill_ids: ["UYB4Ff7lUzIsxU5YO48B"]
subtopics: ["Classifying Data"]
subtopic_ids: ["subtopic_01GTC0BJ2091QNA9SP5NAKRA6T"]
topic: Measurement and Data
topic_id: 9c763d6d-91d0-411a-8522-1131cd17f489
context: Space
class_year: 6
country: US
period_number: 6
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"A rocket travels at a speed of $20\\,000$ km/h and uses $8\\,000$ liters of fuel every hour during its journey through space.","firstSentence":"Which variable depends on the other, and why do you think that is the case?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Ask students to consider which variable changes first and how the other responds to it.","Encourage students to think about cause and effect in the context of fuel consumption and speed.","Use diagrams or graphs to visually represent the relationship between the two variables."]}


example_id: lp_01K93XHH18GY6QHBFQYNW16ADM_01K93XHHZATJE64Y022QB1C2ZC_APPLICATION
skills: ["Understanding independent and dependent variables"]
skill_ids: ["UYB4Ff7lUzIsxU5YO48B"]
subtopics: ["Classifying Data"]
subtopic_ids: ["subtopic_01GTC0BJ2091QNA9SP5NAKRA6T"]
topic: Measurement and Data
topic_id: 9c763d6d-91d0-411a-8522-1131cd17f489
context: Space
class_year: 6
country: US
period_number: 6
node_type: APPLICATION
example_output_json:
{"title":"Analyzing Space Shuttle Launch Data","example1Header":"Situation\nNASA scientists classify data from space shuttle launches by observing how fuel usage (dependent variable) changes with time (independent variable). This helps ensure efficient fuel usage and safe launches.","example1Body":"Example\nNASA calculates remaining fuel using $10,000 - 500x$, where $x$ is minutes. After $8$ minutes, $10,000 - 500(8) = 6,000$ kg. Time affects fuel usage, making time independent and fuel dependent.","example2Header":"","example2Body":""}


example_id: lp_01K93XHH18GY6QHBFQYNW16ADM_01K93XHHZATJE64Y022VY4N04C_ACTIVITY
skills: ["Understanding independent and dependent variables"]
skill_ids: ["UYB4Ff7lUzIsxU5YO48B"]
subtopics: ["Classifying Data"]
subtopic_ids: ["subtopic_01GTC0BJ2091QNA9SP5NAKRA6T"]
topic: Measurement and Data
topic_id: 9c763d6d-91d0-411a-8522-1131cd17f489
context: Space
class_year: 6
country: US
period_number: 6
node_type: ACTIVITY
example_output_json:
{"header":"Paper Plane Variables\nYour team is testing how the angle of a paper plane launch affects its flight distance.","scenario":"Steps\n1. Fold a paper airplane and mark a starting line on the floor.\n2. Choose launch angles: $30^\\circ$, $45^\\circ$, $60^\\circ$.\n3. Launch the plane and measure the flight distance for each angle.\n4. Record your data in a table with angle and distance columns.\n5. Discuss which angle gave the longest flight and why.","steps":["Discussion\n• Which variable did you control, and which one changed?\n• Why do you think certain angles produced longer flights?","Differentiation Opportunities\n• Support: Test only $2$ angles ($30^\\circ$ and $45^\\circ$) to simplify comparisons.\n• Extend: Add a variable like plane design and test its effect on flight distance."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K93XHH18GY6QHBFQYNW16ADM_01K93XHHZATJE64Y0238F1MSFD_CONTEMPLATIVE_QUESTION
skills: ["Understanding independent and dependent variables"]
skill_ids: ["UYB4Ff7lUzIsxU5YO48B"]
subtopics: ["Classifying Data"]
subtopic_ids: ["subtopic_01GTC0BJ2091QNA9SP5NAKRA6T"]
topic: Measurement and Data
topic_id: 9c763d6d-91d0-411a-8522-1131cd17f489
context: Space
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You're growing plants. How does the amount of water (independent variable) affect plant height (dependent variable)? Design an experiment and explain your reasoning.","teacherTips":["Guide students to define variables clearly in their experiment.","Encourage them to test different water amounts and record results.","Discuss how changes in the independent variable affect the dependent variable."],"difficulty":"mild"}


example_id: lp_01K93XHH18GY6QHBFQYNW16ADM_01K93XHHZATJE64Y023H1F7HEP_EXIT_TICKET
skills: ["Understanding independent and dependent variables"]
skill_ids: ["UYB4Ff7lUzIsxU5YO48B"]
subtopics: ["Classifying Data"]
subtopic_ids: ["subtopic_01GTC0BJ2091QNA9SP5NAKRA6T"]
topic: Measurement and Data
topic_id: 9c763d6d-91d0-411a-8522-1131cd17f489
context: Space
class_year: 6
country: US
period_number: 6
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"Speed","question":"If a space rover’s speed increases, does the time it takes to travel a fixed distance depend on the speed or the distance?"},{"answer":"Growth of the plants","question":"In an experiment on a space station, the growth of plants under different light colors is studied. What is the dependent variable?"},{"answer":"Distance from the star","question":"A scientist measures how the temperature of a planet’s surface changes with distance from the star. Which is the independent variable?"}]}


example_id: lp_01K93XJ4K2ZBRFRT6CKCMTDJ6N_01K93XJ67JV70MKWF3M9YTN9HD_CONTEMPLATIVE_QUESTION
skills: ["Understanding independent and dependent variables"]
skill_ids: ["UYB4Ff7lUzIsxU5YO48B"]
subtopics: ["Classifying Data"]
subtopic_ids: ["subtopic_01GTC0BJ2091QNA9SP5NAKRA6T"]
topic: Measurement and Data
topic_id: 9c763d6d-91d0-411a-8522-1131cd17f489
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"Design a science experiment to test how the amount of sunlight affects plant growth. What would be your independent and dependent variables, and how would you measure these?","teacherTips":["The independent variable is sunlight. The dependent variable is plant growth measured in cm."],"difficulty":"mild"}


example_id: lp_01K93XJ4K2ZBRFRT6CKCMTDJ6N_01K93XJ67JV70MKWF3MCH8FEKE_CONTEMPLATIVE_QUESTION
skills: ["Understanding independent and dependent variables"]
skill_ids: ["UYB4Ff7lUzIsxU5YO48B"]
subtopics: ["Classifying Data"]
subtopic_ids: ["subtopic_01GTC0BJ2091QNA9SP5NAKRA6T"]
topic: Measurement and Data
topic_id: 9c763d6d-91d0-411a-8522-1131cd17f489
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: hot
example_output_json:
{"question":"You are tracking plant growth based on sunlight hours. How would you identify the independent and dependent variables? What other factors could affect the plant's growth? Justify your reasoning.","teacherTips":["Sunlight is independent as it is controlled. Growth depends on sunlight, so it's the dependent variable."],"difficulty":"hot"}


example_id: lp_01K93XJ4K2ZBRFRT6CKCMTDJ6N_01K93XJ67JV70MKWF3M6A6S1S3_MULTIPLE_CHOICE_QUESTION
skills: ["Understanding independent and dependent variables"]
skill_ids: ["UYB4Ff7lUzIsxU5YO48B"]
subtopics: ["Classifying Data"]
subtopic_ids: ["subtopic_01GTC0BJ2091QNA9SP5NAKRA6T"]
topic: Measurement and Data
topic_id: 9c763d6d-91d0-411a-8522-1131cd17f489
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is the dependent variable in the relationship between the number of hours a store is open and the total sales made?","answerOptions":["Number of hours a store is open","Total sales made","Number of customers visiting","Location of the store"],"answer":"Total sales made","difficulty":"mild"}


example_id: lp_01K93XJ4K2ZBRFRT6CKCMTDJ6N_01K93XJ67JV70MKWF3M2784NRV_MULTIPLE_CHOICE_QUESTION
skills: ["Understanding independent and dependent variables"]
skill_ids: ["UYB4Ff7lUzIsxU5YO48B"]
subtopics: ["Classifying Data"]
subtopic_ids: ["subtopic_01GTC0BJ2091QNA9SP5NAKRA6T"]
topic: Measurement and Data
topic_id: 9c763d6d-91d0-411a-8522-1131cd17f489
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is the dependent variable in the relationship between the number of hours a student studies and their test score?","answerOptions":["Number of hours studied","Test score","Number of students in the class","Length of the test"],"answer":"Test score","difficulty":"mild"}


example_id: lp_01K93XJ4K2ZBRFRT6CKCMTDJ6N_01K93XJ67JV70MKWF3M7Z63T8J_MULTIPLE_CHOICE_QUESTION
skills: ["Understanding independent and dependent variables"]
skill_ids: ["UYB4Ff7lUzIsxU5YO48B"]
subtopics: ["Classifying Data"]
subtopic_ids: ["subtopic_01GTC0BJ2091QNA9SP5NAKRA6T"]
topic: Measurement and Data
topic_id: 9c763d6d-91d0-411a-8522-1131cd17f489
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"What is the dependent variable in the relationship between the number of hours a car is driven and the distance it travels?","answerOptions":["Number of hours driven","Speed of the car","Distance traveled","Type of car"],"answer":"Distance traveled","difficulty":"mild"}


example_id: lp_01K93XJ4K2ZBRFRT6CKCMTDJ6N_01K93XJ5T8J6AWSZ3C2G5PC703_SCAFFOLDED_QUESTION
skills: ["Understanding independent and dependent variables"]
skill_ids: ["UYB4Ff7lUzIsxU5YO48B"]
subtopics: ["Classifying Data"]
subtopic_ids: ["subtopic_01GTC0BJ2091QNA9SP5NAKRA6T"]
topic: Measurement and Data
topic_id: 9c763d6d-91d0-411a-8522-1131cd17f489
class_year: 6
country: US
period_number: 6
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this question, you will learn about independent and dependent variables. Independent variables change freely, while dependent variables rely on them.","questions":[{"answer":"Independent: speed; Dependent: time","question":"What is an independent variable?"},{"answer":"A variable that changes freely","question":"If you water a plant more often, it grows taller. What is the dependent variable?"},{"answer":"A variable that depends on another","question":"During a race, the faster the runner runs, the less time it takes to finish. Identify the independent and dependent variables."}],"difficulty":"enabling"}


example_id: lp_01K93XJ4K2ZBRFRT6CKCMTDJ6N_01K93XJ5T8J6AWSZ3C2KJRM505_SCAFFOLDED_QUESTION
skills: ["Understanding independent and dependent variables"]
skill_ids: ["UYB4Ff7lUzIsxU5YO48B"]
subtopics: ["Classifying Data"]
subtopic_ids: ["subtopic_01GTC0BJ2091QNA9SP5NAKRA6T"]
topic: Measurement and Data
topic_id: 9c763d6d-91d0-411a-8522-1131cd17f489
class_year: 6
country: US
period_number: 6
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore the relationship between independent and dependent variables in a real-world scenario","questions":[{"answer":"Answers vary; must justify reasoning.","question":"A runner tracks the distance they run each hour. What is the independent variable in this situation?"},{"answer":"Time (hours)","question":"A scientist measures plant growth based on the amount of water added daily. What is the dependent variable?"},{"answer":"Plant growth","question":"A company tracks revenue over time based on advertising spending. Justify which variable is independent and which is dependent, and explain why."}],"difficulty":"extension"}


example_id: lp_01K942MZG62SQ5ZGHW3ZVCPGCA_01K942N0PA1S4QCKKH2A2AMVRT_APPLICATION
skills: ["Calculating the area of a parallelogram","Calculating the area of a triangle"]
skill_ids: ["LIb6lFt6ul0tJ25WFo7H","SQazVgRg9UC0CgKM16yb"]
subtopics: ["Area Calculations"]
subtopic_ids: ["subtopic_01GTC0BG0JV20CN5NWXWK5JSJ3"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
context: Soccer
class_year: 6
country: US
period_number: 6
node_type: APPLICATION
example_output_json:
{"title":"Calculating Goal Area in Soccer","example1Header":"Situation\nSoccer field designers calculate the area of triangular goal zones, ensuring they meet official size requirements for fair play.","example1Body":"Example\nDesigners calculate the area of a goal zone with base $8$ m and height $3$ m: $A = \\frac{1}{2} \\times 8 \\times 3 = 12$ m$^2$. This ensures proper field design.","example2Header":"","example2Body":""}


example_id: lp_01K942MZG62SQ5ZGHW3ZVCPGCA_01K942N0PA1S4QCKKH2XTNE754_THOUGHT_SPARKER
skills: ["Calculating the area of a parallelogram","Calculating the area of a triangle"]
skill_ids: ["LIb6lFt6ul0tJ25WFo7H","SQazVgRg9UC0CgKM16yb"]
subtopics: ["Area Calculations"]
subtopic_ids: ["subtopic_01GTC0BG0JV20CN5NWXWK5JSJ3"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
context: Soccer
class_year: 6
country: US
period_number: 6
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"A soccer field is shaped like a parallelogram that measures $100$ meters long and $60$ meters wide. The penalty area is a triangle with a base of $20$ meters and a height of $16$ meters.","firstSentence":"What strategies could you use to calculate the total area of the field, including the penalty area?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Guide students to calculate the area of the parallelogram and triangle separately before combining them.","Encourage students to explain why the formula for a triangle includes the $\\frac{1}{2}$ factor.","Use visuals, like diagrams of the field, to help students visualize the problem and the areas they are calculating."]}


example_id: lp_01K942MZG62SQ5ZGHW3ZVCPGCA_01K942N0PA1S4QCKKH2F2992YG_ACTIVITY
skills: ["Calculating the area of a parallelogram","Calculating the area of a triangle"]
skill_ids: ["LIb6lFt6ul0tJ25WFo7H","SQazVgRg9UC0CgKM16yb"]
subtopics: ["Area Calculations"]
subtopic_ids: ["subtopic_01GTC0BG0JV20CN5NWXWK5JSJ3"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
context: Soccer
class_year: 6
country: US
period_number: 6
node_type: ACTIVITY
example_output_json:
{"header":"Park Area Challenge\nDesign a park layout using parallelograms and triangles, then calculate the total area.","scenario":"Steps\n1. Draw a park layout with $2$ parallelograms and $2$ triangles on paper.\n2. Label the base and height for each shape (e.g., $6$ cm, $4$ cm).\n3. Calculate the area of each parallelogram: $base \\times height$.\n4. Calculate the area of each triangle: $\\frac{1}{2} \\times base \\times height$.\n5. Add up all the areas to find the total park area.","steps":["Discussion\n• How does the shape of a park affect its total area?\n• Why does a triangle's area formula include $\\frac{1}{2}$?","Differentiation Opportunities\n• Support: Use simple numbers for base and height (e.g., $2$, $4$, $6$).\n• Extend: Add more shapes or use decimal measurements for calculations."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K942MZG62SQ5ZGHW3ZVCPGCA_01K942N0PA1S4QCKKH2Q6YFGN6_CONTEMPLATIVE_QUESTION
skills: ["Calculating the area of a parallelogram","Calculating the area of a triangle"]
skill_ids: ["LIb6lFt6ul0tJ25WFo7H","SQazVgRg9UC0CgKM16yb"]
subtopics: ["Area Calculations"]
subtopic_ids: ["subtopic_01GTC0BG0JV20CN5NWXWK5JSJ3"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
context: Soccer
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You need to design a garden with a triangular flower bed and a parallelogram vegetable patch. Choose dimensions for each shape and calculate their areas. How do these areas compare?","teacherTips":["Guide students to use area formulas for triangles and parallelograms: $A = \\frac{1}{2} \\times \\text{base} \\times \\text{height}$ and $A = \\text{base} \\times \\text{height}$.","Encourage students to pick realistic dimensions for a garden.","Discuss how the areas might influence planting decisions."],"difficulty":"mild"}


example_id: lp_01K942MZG62SQ5ZGHW3ZVCPGCA_01K942N0PA1S4QCKKH301THTHR_EXIT_TICKET
skills: ["Calculating the area of a parallelogram","Calculating the area of a triangle"]
skill_ids: ["LIb6lFt6ul0tJ25WFo7H","SQazVgRg9UC0CgKM16yb"]
subtopics: ["Area Calculations"]
subtopic_ids: ["subtopic_01GTC0BG0JV20CN5NWXWK5JSJ3"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
context: Soccer
class_year: 6
country: US
period_number: 6
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$60$","question":"A soccer field banner is in the shape of a parallelogram with a base of $12$ m and a height of $5$ m. What is its area?"},{"answer":"$12$","question":"A triangular corner flag on the soccer field has a base of $6$ m and a height of $4$ m. What is the area of the flag?"},{"answer":"$6$","question":"A soccer team’s logo is a triangle with a base of $10$ cm and height of $3x$ cm. If the area is $90$ cm$^2$, what is the value of $x$?"}]}


example_id: lp_01K942NV6K912PT954KXPMC7CF_01K942NWH3S51PM8FH3629Z9EQ_CONTEMPLATIVE_QUESTION
skills: ["Calculating the area of a parallelogram","Calculating the area of a triangle"]
skill_ids: ["LIb6lFt6ul0tJ25WFo7H","SQazVgRg9UC0CgKM16yb"]
subtopics: ["Area Calculations"]
subtopic_ids: ["subtopic_01GTC0BG0JV20CN5NWXWK5JSJ3"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You are designing a flag with parallelogram shapes. Create 3 different parallelograms with bases and heights of your choice. Calculate their areas and decide which design uses the most fabric.","teacherTips":["Area of a parallelogram is $base \\times height$. Compare areas to find the design using most fabric."],"difficulty":"mild"}


example_id: lp_01K942NV6K912PT954KXPMC7CF_01K942NWH3S51PM8FH3CS9MFD2_MULTIPLE_CHOICE_QUESTION
skills: ["Calculating the area of a parallelogram","Calculating the area of a triangle"]
skill_ids: ["LIb6lFt6ul0tJ25WFo7H","SQazVgRg9UC0CgKM16yb"]
subtopics: ["Area Calculations"]
subtopic_ids: ["subtopic_01GTC0BG0JV20CN5NWXWK5JSJ3"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: spicy
example_output_json:
{"question":"A parallelogram has a base of $7.5$ m and a height of $4.2$ m. What is its area?","answerOptions":["$31.5$ m$^2$","$15.75$ m$^2$","$22.5$ m$^2$","$28.5$ m$^2$"],"answer":"$31.5$ m$^2$","difficulty":"spicy"}


example_id: lp_01K942NV6K912PT954KXPMC7CF_01K942NWH3S51PM8FH38Z31HGS_MULTIPLE_CHOICE_QUESTION
skills: ["Calculating the area of a parallelogram","Calculating the area of a triangle"]
skill_ids: ["LIb6lFt6ul0tJ25WFo7H","SQazVgRg9UC0CgKM16yb"]
subtopics: ["Area Calculations"]
subtopic_ids: ["subtopic_01GTC0BG0JV20CN5NWXWK5JSJ3"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: hot
example_output_json:
{"question":"A parallelogram has a base of $12$ cm and a height of $7$ cm. What is its area in square centimeters?","answerOptions":["$84$","$42$","$96$","$72$"],"answer":"$84$","difficulty":"hot"}


example_id: lp_01K942NV6K912PT954KXPMC7CF_01K942NWH3S51PM8FH2GK9MW6W_CONTEMPLATIVE_QUESTION
skills: ["Calculating the area of a parallelogram","Calculating the area of a triangle"]
skill_ids: ["LIb6lFt6ul0tJ25WFo7H","SQazVgRg9UC0CgKM16yb"]
subtopics: ["Area Calculations"]
subtopic_ids: ["subtopic_01GTC0BG0JV20CN5NWXWK5JSJ3"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You are designing a triangular garden. Its base is $8$ m, and its height is $5$ m. How could you change the base or height to create a garden with an area of $30$ m$^2$? Explain your reasoning.","teacherTips":["To get $30$ m$^2$, solve $\\frac{1}{2} \\times \\text{base} \\times \\text{height} = 30$. Try $12$ m base, $5$ m height."],"difficulty":"mild"}


example_id: lp_01K942NV6K912PT954KXPMC7CF_01K942NWH3S51PM8FH2BNH94P0_MULTIPLE_CHOICE_QUESTION
skills: ["Calculating the area of a parallelogram","Calculating the area of a triangle"]
skill_ids: ["LIb6lFt6ul0tJ25WFo7H","SQazVgRg9UC0CgKM16yb"]
subtopics: ["Area Calculations"]
subtopic_ids: ["subtopic_01GTC0BG0JV20CN5NWXWK5JSJ3"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
class_year: 6
country: US
period_number: 6
node_type: MULTIPLE_CHOICE_QUESTION
difficulty: mild
example_output_json:
{"question":"A triangle has a base of $6$ cm and a height of $4$ cm. What is its area?","answerOptions":["$12$ cm$^2$","$24$ cm$^2$","$10$ cm$^2$","$18$ cm$^2$"],"answer":"$12$ cm$^2$","difficulty":"mild"}


example_id: lp_01K942NV6K912PT954KXPMC7CF_01K942NW38N3NFZDX6PGV2EN9P_SCAFFOLDED_QUESTION
skills: ["Calculating the area of a parallelogram","Calculating the area of a triangle"]
skill_ids: ["LIb6lFt6ul0tJ25WFo7H","SQazVgRg9UC0CgKM16yb"]
subtopics: ["Area Calculations"]
subtopic_ids: ["subtopic_01GTC0BG0JV20CN5NWXWK5JSJ3"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
class_year: 6
country: US
period_number: 6
node_type: SCAFFOLDED_QUESTION
difficulty: extension
example_output_json:
{"headline":"Explore the relationships between parallelograms and triangles through area calculations","questions":[{"answer":"A triangle splits the parallelogram into two equal parts, each with half the area.","question":"A parallelogram has a base of $10$ cm and a height of $8$ cm. What is its area?"},{"answer":"$80$ cm$^2$","question":"A triangle shares the same base of $10$ cm and height of $8$ cm as a parallelogram. What is the area of the triangle?"},{"answer":"$40$ cm$^2$","question":"Explain why a triangle with the same base and height as a parallelogram will always have half the area of the parallelogram."}],"difficulty":"extension"}


example_id: lp_01K942NV6K912PT954KXPMC7CF_01K942NW38N3NFZDX6PAAZJSDY_SCAFFOLDED_QUESTION
skills: ["Calculating the area of a parallelogram","Calculating the area of a triangle"]
skill_ids: ["LIb6lFt6ul0tJ25WFo7H","SQazVgRg9UC0CgKM16yb"]
subtopics: ["Area Calculations"]
subtopic_ids: ["subtopic_01GTC0BG0JV20CN5NWXWK5JSJ3"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
class_year: 6
country: US
period_number: 6
node_type: SCAFFOLDED_QUESTION
difficulty: enabling
example_output_json:
{"headline":"In this activity, you will learn to calculate the area of a parallelogram and a triangle using their respective formulas.","questions":[{"answer":"12 cm$^2$","question":"What is the formula to calculate the area of a parallelogram?\nHint: It involves the base and perpendicular height."},{"answer":"Base × Height","question":"What is the formula to calculate the area of a triangle?\nHint: A triangle is half of a parallelogram."},{"answer":"Base ÷ Height","question":"A triangle has a base of $6$ cm and a height of $4$ cm.\nWhat is its area?"}],"difficulty":"enabling"}


example_id: lp_01K942V9D2TJCHK6WMN6TY2ASQ_01K942VAGF78ANDSQWZSSW5XKF_ACTIVITY
skills: ["Calculating the volume of a rectangular prism"]
skill_ids: ["RHCO94iqkbeRFRSKAg8r"]
subtopics: ["Volume Calculations"]
subtopic_ids: ["subtopic_01GTC0BN454C6F0WJKJA8Q64MQ"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
context: 3D Printing
class_year: 6
country: US
period_number: 6
node_type: ACTIVITY
example_output_json:
{"header":"Box Builder Challenge\nYour team needs to design boxes to store items. The goal is to meet specific volume targets!","scenario":"Steps\n1. Each team chooses a target volume (e.g., $120$ cm$^3$).\n2. Draw a rectangular prism with dimensions that multiply to your target volume.\n3. Calculate the volume using $V = \\text{length} \\times \\text{width} \\times \\text{height}$.\n4. Share your design with another team to check their calculation.\n5. The team with the most creative correct designs wins!","steps":["Discussion\n• How do different dimensions affect the shape of the box?\n• Why does swapping dimensions still give the same volume?","Differentiation Opportunities\n• Support: Provide one dimension and let students calculate the other two to meet the target volume.\n• Extend: Challenge students to design boxes for multiple target volumes, such as $60$ cm$^3$ and $240$ cm$^3$."],"discussion":[],"differentiation":{"support":"","extend":""}}


example_id: lp_01K942V9D2TJCHK6WMN6TY2ASQ_01K942VAGF78ANDSQX0GJHM4GC_EXIT_TICKET
skills: ["Calculating the volume of a rectangular prism"]
skill_ids: ["RHCO94iqkbeRFRSKAg8r"]
subtopics: ["Volume Calculations"]
subtopic_ids: ["subtopic_01GTC0BN454C6F0WJKJA8Q64MQ"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
context: 3D Printing
class_year: 6
country: US
period_number: 6
node_type: EXIT_TICKET
example_output_json:
{"questions":[{"answer":"$30$","question":"A 3D printer creates a rectangular block with length $5$ cm, width $3$ cm, and height $2$ cm. What is its volume?"},{"answer":"$168$","question":"A 3D printer makes a rectangular prism with a base of $6$ cm by $4$ cm and a height of $7$ cm. What is its volume?"},{"answer":"$336$","question":"A rectangular 3D-printed box has dimensions $12.5$ cm by $8.4$ cm by $3.2$ cm. What is its volume?"}]}


example_id: lp_01K942V9D2TJCHK6WMN6TY2ASQ_01K942VAGF78ANDSQX05GHGHW3_CONTEMPLATIVE_QUESTION
skills: ["Calculating the volume of a rectangular prism"]
skill_ids: ["RHCO94iqkbeRFRSKAg8r"]
subtopics: ["Volume Calculations"]
subtopic_ids: ["subtopic_01GTC0BN454C6F0WJKJA8Q64MQ"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
context: 3D Printing
class_year: 6
country: US
period_number: 6
node_type: CONTEMPLATIVE_QUESTION
difficulty: mild
example_output_json:
{"question":"You are designing a box to hold $24$ small cubes. What are all the possible dimensions of the box? How would changing the dimensions affect its shape and usability?","teacherTips":["Guide students to calculate $l \\times w \\times h = 24$ for all integer values.","Discuss how dimensions relate to the shape and purpose of the box.","Encourage students to think about practical uses for each design."],"difficulty":"mild"}


example_id: lp_01K942V9D2TJCHK6WMN6TY2ASQ_01K942VAGF78ANDSQX0A8TXATY_THOUGHT_SPARKER
skills: ["Calculating the volume of a rectangular prism"]
skill_ids: ["RHCO94iqkbeRFRSKAg8r"]
subtopics: ["Volume Calculations"]
subtopic_ids: ["subtopic_01GTC0BN454C6F0WJKJA8Q64MQ"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
context: 3D Printing
class_year: 6
country: US
period_number: 6
node_type: THOUGHT_SPARKER
example_output_json:
{"firstSentenceHeader":"You are 3D printing a storage box that has a length of $12$ cm, a width of $8$ cm, and a height of $5$ cm.","firstSentence":"How could you determine the volume of the box to ensure it will hold enough items?","secondSentenceHeader":"","secondSentence":"","teacherTips":["Discuss with students how to use the formula for the volume of a rectangular prism: length × width × height.","Encourage students to visualize or draw the box to better understand its dimensions.","Ask students to explain why knowing the volume is important for practical purposes, like storage capacity."]}


example_id: lp_01K942V9D2TJCHK6WMN6TY2ASQ_01K942VAGF78ANDSQWZMD807AX_APPLICATION
skills: ["Calculating the volume of a rectangular prism"]
skill_ids: ["RHCO94iqkbeRFRSKAg8r"]
subtopics: ["Volume Calculations"]
subtopic_ids: ["subtopic_01GTC0BN454C6F0WJKJA8Q64MQ"]
topic: Geometry
topic_id: 18149148-fce7-4a5f-8634-543f8436b13d
context: 3D Printing
class_year: 6
country: US
period_number: 6
node_type: APPLICATION
example_output_json:
{"title":"Designing 3D Printed Storage Boxes","example1Header":"Situation\n3D printing designers create storage boxes for tools or supplies. They calculate the box's volume to ensure it holds everything needed without wasting material.","example1Body":"Example\nA 3D designer checks a box's volume with dimensions $10$ cm by $5$ cm by $2$ cm. The volume is $10 \\times 5 \\times 2 = 100$ cm$^3$, perfect for small supplies.","example2Header":"","example2Body":""}


