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Fraction Equivalence Using Division




 


Videos to help Grade 4 students learn how to use the area model and division to show the equivalence of two fractions.

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


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Lesson Plans and Worksheets for Grade 4

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Common Core For Grade 4

New York State common Core Grade 4 Module 5, Lesson 9



Lesson 9 Concept Development

Problem 1: Simplify 6/12 by composing larger fractional units using division.

Problem 2: Simplify both 2/8 and 3/12 as 1/4 by composing larger fractional units.

Problem 3: Simplify both 2/6 and 4/12 as 1/3 by composing larger fractional units.
Lesson 9 Problem Set 1

Each rectangle represents 1 whole.
1. Compose the shaded fractions into larger fractional units. Express the equivalent fractions in a number sentence using division. The first one has been done for you.



Lesson 9 Problem Set 2

2. Compose the shaded fractions into larger fractional units. Express the equivalent fractions in a number sentence using division.
a. - d.
Lesson 9 Problem Set 2

2. Compose the shaded fractions into larger fractional units. Express the equivalent fractions in a number sentence using division.
e. What happened to the size of the fractional units when you composed the fraction?
f. What happened to the total number of units in the whole when you composed the fraction?


 
Lesson 9 Problem Set 3

3.
a. In the first area model, show 2 sixths. In the second area model, show 3 ninths. Show how both fractions can be renamed as the same unit fraction.
b. Express the equivalent fractions in a number sentence using division.



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