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Quilt Club Patches: Cutting Patches into Equivalent Fractions worksheet preview

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Quilt Club Patches: Cutting Patches into Equivalent Fractions

Grade 4 equivalent fractions with quilt strips: cut patches into smaller pieces to see why (n × a)/(n × b) names the same amount as a/b.

Grade 4MathInteractive · Printable

Aligned to4.NF.A.1

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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 4
Subject
Math
Question types
Fill in the blank, Multiple choice, Matching, Sorting, Short answer

About this worksheet

What students practice

  • Students use fraction bar models to show that cutting every part into n pieces makes a/b equal to (n × a)/(n × b).
  • Students multiply the numerator and denominator by the same number to write equivalent fractions.
  • Students explain how the number and size of the parts change while the amount stays the same.

How to use

Use with paper strips or fraction bars. Have students cut or draw lines on each patch, then tell how many patches there are and how big each one is before and after.

Curriculum

Common Core standard covered

4.NF.A.1

Explain why multiplying the top and bottom of a fraction by the same number gives an equivalent fraction.

Preview

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Quilt Club Patches: Cutting Patches into Equivalent Fractions

Cut quilt patches into smaller patches to see why equivalent fractions are equal.

Cut the patches

The Quilt Club sews long strips of patches. Each strip is 1 whole, and all the patches on a strip are the same size.

1.
Nadia's strip has 3 equal patches. 1 patch is yellow.She cuts each patch into 4 smaller patches of the same size.

1/3 =  / 

2.
Look at Nadia's strip again. After she cuts each patch into 4 pieces, how big is each new patch?
  • A. Each new patch is 4 times as big as an old patch.
  • B. Each new patch is the same size as an old patch.
  • C. Each new patch is 1/4 the size of an old patch.
  • D. Each new patch is 1/3 the size of an old patch.
3.
Theo's strip has 5 equal patches. 2 patches are green. He cuts every patch in half.

Patches in all: 5 × 2 =  
Green patches: 2 × 2 =  
So 2/5 =  / 

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