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Fraction Equivalence Using Multiplication

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Lesson Plans and Worksheets for Grade 4
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Common Core For Grade 4



 

Examples, solutions, and videos to help Grade 4 students learn how to use the area model and multiplication to show the equivalence of two fractions.


Common Core Standards: 4.NF.1, 4.NF.3b

New York State common Core Grade 4 Module 5, Lesson 7

Lesson 7 Concept Development

Problem 1: Determine that multiplying the numerator and denominator by n results in an equivalent fraction.
Problem 2: Given an area model, determine an equivalent fraction for the area selected.
Problem 3: Express an equivalent fraction using multiplication and verify by drawing an area model.
Each rectangle represents 1 whole.

Lesson 7 Problem Set

1. The shaded unit fractions have been decomposed into smaller units. Express the equivalent fractions in a number sentence using multiplication. The first one has been done for you.
3. Draw three different area models to represent 1 third by shading. Decompose the shaded fraction into (a) sixths, (b) ninths, and (c) twelfths. Use multiplication to show how each fraction is equivalent to 1 third.



Lesson 7 Problem Set 2

2. Decompose the shaded fractions into smaller units using the area models. Express the equivalent fractions in a number sentence using multiplication.
Lesson 7 Homework

Each rectangle represents 1 whole.
1. The shaded unit fractions have been decomposed into smaller units. Express the equivalent fractions in a number sentence using multiplication. The first one has been done for you.
2. Decompose the shaded fractions into smaller units using the area models. Express the equivalent fractions in a number sentence using multiplication.
3. Draw three different area models to represent 1 fourth by shading.
Decompose the shaded fraction into (a) eighths, (b) twelfths, and (c) sixteenths.
Use multiplication to show how each fraction is equivalent to 1 fourth.


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