Decompose Fractions using Tape Diagrams

Videos, examples, solutions, and lessons to help Grade 4 students learn how to decompose fractions as a sum of unit fractions using tape diagrams.

Common Core Standards: 4.NF.3b, 4.NF.4a, 4.NF.3a

New York State Common Core Grade 4, Module 5, Lesson 1

Worksheets for Grade 4

Topic A; Decomposition and Fraction Equivalence

The following diagram shows how to decompose fractions using tape diagrams, numbers bonds and number sentences. Scroll down the page for more examples of decomposing fractions.

 

Lesson 1 Concept Development

Problem 1: Fold a strip of paper to create thirds and sixths. Record the decompositions represented by the folded paper with addition.

Problem 3 - 4: Write decompositions of fractions represented by tape diagrams as number sentences.

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Lesson 1 Problem Set

1. Draw a number bond and write the number sentence to match each tape diagram.
   a to h.
2. Draw and label tape diagrams to model each decomposition.

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Grade 4 Module 5, Lesson 1, Exit Ticket, Question 1
Decompose fractions as a sum of unit fractions using tape diagrams.
Use a number bond to show how 1 can be decomposed into fractions and how fractions can be composed to make 1.
Draw a number bond and write the number sentence to match the tape diagram.

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Grade 4 Module 5, Lesson 1, Homework

1. Draw a number bond and write the number sentence to match each tape diagram.
   
2. Draw and label tape diagrams to match each number sentence.

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