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Patchwork Quilt Club: Add the Parts to Find the Whole worksheet preview

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Patchwork Quilt Club: Add the Parts to Find the Whole

Grade 3 area practice: split patchwork quilts into smaller rectangles to show that area follows the distributive property.

Grade 3MathInteractive · Printable

Aligned to3.MD.C.7.c

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What’s included

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

Details

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

About this worksheet

What students practice

  • Students split a rectangle into smaller rectangles and add their areas to find the area of the whole.
  • Students write equations such as 4 × 7 = (4 × 5) + (4 × 2) to match a split area model.
  • Students use known facts to find the area of a rectangle with a harder side length.

How to use

Use after students can find the area of a rectangle by multiplying. Have students color each part of a quilt a different color before they write the matching equation.

Curriculum

Common Core standard covered

3.MD.C.7.c

Use tiling to show that area follows the distributive property.

Preview

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Name Date

Patchwork Quilt Club: Add the Parts to Find the Whole

Split each quilt into two or more parts, find the area of each part, and add.

Quilts with color parts

Each patch is a square that is 1 foot long on each side, so it covers 1 square foot. Find the area of each part. Then add.

1.
Mrs. Okafor sews a quilt with blue patches (A) and yellow patches (B).A5 ft4 ftB2 ft

Part A: 4 × 5 =   square feet
Part B: 4 × 2 =   square feet
Whole quilt: 20 + 8 =   square feet, so 4 × 7 =  

2.
Diego's quilt has a green top part (A) and a white bottom part (B). Which equation matches the way his quilt is split?AB
  • A. (8 × 2) + (8 × 6) = 8 × 8
  • B. (8 + 2) + (8 + 4) = 8 × 6
  • C. (8 × 2) + (8 × 4) = 8 × 6
  • D. (4 × 2) + (4 × 6) = 4 × 8
3.
Hana's quilt is 6 patches across and 7 patches down. She sews a red part (A) and a gray part (B).AB

6 × 7 = (6 × 5) + (6 ×  )
6 × 7 = 30 +  
The whole quilt covers   square feet.

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