Interpret multiplication as scaling (resizing)
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
- Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
- Guided Notes →One page your students fill in and keep.
- Exit Ticket →Three items at the end of class. No student accounts.
- Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
- Homework →Assign practice; it grades itself.
**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.
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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.
What you'll learn
- 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
Slides
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Multiplication as scaling
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