Lesson Plan

Predict whether a product will be greater than, less than, or equal to a given factor by examining the size of the other factor - without performing the multiplication

Explain why multiplying a number by a factor greater than 1 produces a product greater than the original number, recognizing whole-number multiplication as a familiar example of this principle

Explain why multiplying a number by a factor less than 1 produces a product smaller than the original number, using visual and verbal reasoning

Explain why multiplying a number by exactly 1 (including fraction forms like n/n) leaves the number unchanged, and connect this to the principle of equivalent fractions: a/b = (n x a)/(n x b)

Apply scaling reasoning to real-world contexts such as resizing images, adjusting recipes, and interpreting map scales

5.NF.B.5

5.NF.B.5: Interpret multiplication as scaling (resizing), by: a. 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. b. 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 = (nxa)/(nxb) to the effect of multiplying a/b by 1.