Unit 3.1 Addition and Subtraction of Fractions
Essential Questions:
• What do two fractions need to have in common in order to add or subtract?
• Given a fraction, how many ways can you decompose it by representing it as an equation?
• What does it mean to partition a whole?
• In what ways can you solve word problems involving adding and subtracting fractions with like denominators?
• How is partitioning of a whole representative of a given fraction?
• How can you represent a given fraction by partitioning a whole?
• What do two fractions need to have in common in order to add or subtract?
• Given a fraction, how many ways can you decompose it by representing it as an equation?
• What does it mean to partition a whole?
• In what ways can you solve word problems involving adding and subtracting fractions with like denominators?
• How is partitioning of a whole representative of a given fraction?
• How can you represent a given fraction by partitioning a whole?
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Unit 3.2 Understanding Mixed Numbers
Essential Questions:
• How can you represent an improper fraction as an equation with both a fraction and a whole number?
• What would the result be of multiplying a fraction by a whole number?
• In what ways can you add and subtract mixed numbers with like denominators?
• How can you solve word problems involving multiplication of a fraction by a whole number?
• How can you represent an improper fraction as an equation with both a fraction and a whole number?
• What would the result be of multiplying a fraction by a whole number?
• In what ways can you add and subtract mixed numbers with like denominators?
• How can you solve word problems involving multiplication of a fraction by a whole number?
Unit 3.3 Understanding Decimals
Essential Questions:
• How can you compare fractions with a denominator of 10 and a denominator of 100?
• How can you represent fractions with a denominator of 10 or 100 as decimals?
• How can you compare two decimals to the hundredths by reasoning about their size?
• How can you compare fractions with a denominator of 10 and a denominator of 100?
• How can you represent fractions with a denominator of 10 or 100 as decimals?
• How can you compare two decimals to the hundredths by reasoning about their size?
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