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Class Quilt Math: Using Properties to Multiply worksheet preview

Worksheet

Class Quilt Math: Using Properties to Multiply

Grade 3 practice with the commutative, associative, and distributive properties of multiplication using class quilt patches.

Grade 3MathInteractive · Printable

Aligned to3.OA.B.5

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What’s included

  • Single worksheet
  • Auto-graded online
  • 1 Common Core standard
  • Printable answer key
  • 12 questions
  • Classroom-ready

Details

Format
Interactive · Printable
Grade
Grade 3
Subject
Math
Question types
Fill in the blank, Multiple choice, Matching, Sorting, Short answer

About this worksheet

What students practice

  • Students use the commutative property to show that changing the order of factors keeps the product the same.
  • Students use the associative property to regroup three factors and multiply.
  • Students use the distributive property to break apart a fact into two easier facts.

How to use

Use after introducing the properties of multiplication. Let students draw quick quilt arrays for the first section, then have them explain their thinking aloud on the break-apart problems.

Curriculum

Common Core standard covered

3.OA.B.5

Use properties of operations, such as order and grouping, to multiply and divide.

Preview

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Name Date

Class Quilt Math: Using Properties to Multiply

Change the order, regroup factors, and break apart facts while sewing a class quilt.

Turn it around

Changing the order of the factors does not change the product. Fill in the blanks or choose the best answer.

1.
Ms. Ortiz's class sews a quilt with 4 rows of 7 patches. Jada turns the quilt on its side. Now it has 7 rows.

4 × 7 = 7 ×  
Both ways, the quilt has   patches.

2.
Leo knows that 6 × 8 = 48. Which other fact does he also know?
  • A. 6 + 8 = 48
  • B. 8 × 6 = 48
  • C. 8 × 8 = 48
  • D. 48 × 6 = 8
3.
Fill in the missing factor and the product.

9 × 3 = 3 ×   =  

Group the factors

You can group three factors in different ways. The product stays the same.

4.
Diego sews 3 quilt blocks. Each block has 2 rows of 5 patches. Find the total number of patches two ways.

(3 × 2) × 5 =   × 5 =  
3 × (2 × 5) = 3 ×   =  

5.
Ana wants to find 2 × 7 × 5. She wants to make a 10 first. Which shows her first step?
  • A. (2 × 7) × 5 = 14 × 5
  • B. 2 × (7 × 5) = 2 × 35
  • C. (2 × 5) × 7 = 10 × 7
  • D. (2 + 5) × 7 = 7 × 7
6.
Ryan finds 4 × 2 × 3 by multiplying 2 × 3 first.

4 × (2 × 3) = 4 ×   =  

7.
Match each expression to the one with the same product.
  1. (3 × 3) × 2
  2. (5 × 2) × 4
  3. (2 × 4) × 3
  1. A. 5 × (2 × 4)
  2. B. 2 × (4 × 3)
  3. C. 3 × (3 × 2)

Break it apart

Break a hard fact into two easier facts. Then add the products.

8.
Kofi's part of the quilt has 7 rows of 8 patches. He splits the 7 rows into 5 rows and 2 rows.

7 × 8 = (5 × 8) + (2 × 8)
=   +  
=   patches

9.
Break apart 6 × 9 by splitting the 9 into 5 and another number.

6 × 9 = (6 × 5) + (6 ×  )
= 30 +  
=  

10.
Which shows a correct way to break apart 4 × 9?
  • A. (4 × 5) + (4 × 5)
  • B. (2 × 9) + (3 × 9)
  • C. (4 × 5) + (4 × 4)
  • D. (4 × 9) + (4 × 1)
11.
Is each expression equal to 6 × 7? Sort them.
7 × 6(6 × 5) + (6 × 3)(3 × 2) × 76 + 7(6 × 5) + (6 × 2)(2 × 3) × 6
Equal to 6 × 7Not equal to 6 × 7
12.
Mia does not know 8 × 7 yet. Explain how she can break it apart into facts she knows to find the product.

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