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5.NF.5

5.NF.5. Interpret multiplication as scaling. Interpret multiplication as scaling (resizing), by: Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication.

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5.NF.5

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  1. 5.NF.5 Interpret multiplication as scaling

  2. Interpret multiplication as scaling (resizing), by: • Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication. • Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence a/b = (n × a)/(n × b) to the effect of multiplying a/b by 1

  3. Without performing multiplication determine whether the product is <, >, or = to 6. Explain your reasoning. 4 2 3 4 x 6 2 x 6 3 6 x 6 2 4 x 6

  4. By comparing the sizes of the products for each circle, what pattern do you observe when you multiply a fraction by ? 2 2 ⅛ ¼ ⅛ ⅛ ¼ ⅛ 2 4 1 2 2 2 2 2 x x 4 8 4 8 2 4 = = 5th

  5. 5.NF.5 Mathematical Practice(s): 2 Without performing the indicated multiplication, use < , >, or = to make each equation true by comparing the size of the product to the size of one factor on the basis of the size of the other factor. 7 3 3 3 2 3 3 3 461 x 461 x 461 x 461 x

  6. 5.NF.5 Mathematical Practice(s): 2 Without performing the indicated multiplication, use < , >, or = to make each equation true. 7 7 2 2 1 2 4 8 643 x 643 x 461 x 643 x

  7. Mathematical Practice(s): 2 5.NF.5 Are the statements below True or False about the product of 372 and ¼ ? The product is less than 272 x ¼ The product is greater than 272 x ¼ The product is less than 372 The product is greater than 372

  8. Mathematical Practice(s): 2 5.NF.5 Are the statements below True or False about the product of 485 and ? 6 3 2 3 The product is less than 485 x The product is greater than 485 x The product is less than 485 The product is greater than 485 8 3

  9. Mathematical Practice(s): 2 5.NF.5 Write Yes or No to indicate whether each fraction can make the equation a true inequality 2 3 2 3 × > 10 4 4 4 4 10

  10. Mathematical Practice(s): 2 5.NF.5 Write Yes or No to indicate whether each fraction can make the equation a true inequality 5 6 5 6 × > 10 14 8 8 14 10

  11. Mathematical Practice(s): 2 5.NF.5 Move each equation to the correct box 3 5 3 5 3 5 3 5 3 5 3 5 1 10 5 5 8 3 4 5 1 2 x x x x X5 x

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