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# Interpretation of Multiplication by Scaling

5th Grade • Lesson Plan Bundle
$2.00

## Quick Facts

Subject: Math, Operations and Algebraic Thinking

Type: Lesson Plan Bundle

Skills:

- Compare 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
- Explain 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)
- Practice sharing how and why multiplying a given number by a fraction less than 1 results in a product smaller than the given number
- Relate the principle of fraction equivalence a/b = (n × a)/(n b) to the effect of multiplying a/b by 1
- Complete an "exit ticket" to help drive your next instructional steps

Materials Needed:

- Blank paper
- Pencils
- Index cards (3 per student) (or a whiteboard and dry erase markers per student)
- Document camera or whiteboard, computer with projector

Printable Resources:

**Student Resources:**- “Exit Slips” (1 copy per student)
- “Tricky Multiplication Sentences” (1 copy per student)

CCSS: 5.NF.5, MP2, MP4, MP8

## Lesson Plan Description

Grab this 1/2 hour lesson and help your 5th graders use mental reasoning and collaborative discussion to explore the relationship between whole numbers, fractions, and multiplication by scaling (resizing). Determine how much they know and need to learn while they play a fun whole class game. Your students will:

- Compare 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
- Explain 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)
- Practice sharing how and why multiplying a given number by a fraction less than 1 results in a product smaller than the given number
- Relate the principle of fraction equivalence a/b = (n × a)/(n b) to the effect of multiplying a/b by 1
- Complete an “exit ticket” to help drive your next instructional steps