Fractions Big Ideas - K-7
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Fractions Big Ideas
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Fractions are a type of number that can represent quantitiesMath 3Sample questions to support inquiry with students:
• In how many ways can you represent the fraction ____?
• What is the relationship between parts and wholes when we think about fractions?
• How do these materials help you think about fractions?
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Fractions and decimals are types of numbers that can represent quantitiesMath 4Sample questions to support inquiry with students:
• What is the relationship between fractions and decimals?
• How are these fractions (e.g., 1/2 and 7/8) alike and different?
• How do we use fractions and decimals in our daily life?
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Numbers describe quantities that can be represented by equivalent fractionsMath 5Sample questions to support inquiry with students:
• How can you prove that two fractions are equivalent?
• In how many ways can you represent the fraction ___?
• How do we use fractions and decimals in our daily life?
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Mixed numbers and decimal numbers represent quantities that can be decomposed into parts and wholesMath 6Sample questions to support inquiry with students:
• In how many ways can you represent the number ___?
• What are the connections between fractions, mixed numbers, and decimal numbers?
• How are mixed numbers and decimal numbers alike? Different?
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Decimals, fractions and percents are used to represent and describe parts and wholes of numbersMath 7Sample questions to support inquiry with students:
• In how many ways can you represent the number ___?
• What is the relationship between decimals, fractions, and percents?
• How can you prove equivalence?
• How are parts and wholes best represented in particular contexts?
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Computational fluency and flexibility extend to operations with fractions.Math 8Sample questions to support inquiry with students:
• When we are working with fractions, what is the relationship between addition and subtraction?
• When we are working with fractions, what is the relationship between multiplication and division?
• When we are working with fractions, what is the relationship between addition and multiplication?
• When we are working with fractions, what is the relationship between subtraction and division?
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Number represents, describes, and compares the quantities of ratios, rates, and percents.Math 8Sample questions to support inquiry with students:
• How can two quantities be compared, represented, and communicated?
• How are decimals, fractions, ratios, and percents interrelated?
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The principles and processes underlying operations with numbers apply equally to algebraic situations and can be described and analyzed.Math
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