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Decompose Unit Fractions using Area Models




 

Videos to help Grade 4 students learn how to decompose unit fractions using area models to show equivalence.

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

Related Topics:
Lesson Plans and Worksheets for Grade 4

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More Lessons for Grade 4

Common Core For Grade 4

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



Lesson 5 Concept Development

Problem 1: Draw an area model to illustrate that 1/5 is equal to 2/10.
Problem 2: Decompose 1/3 as 4/12 represented in an area model and as the sum and product of unit fractions.
Problem 3: Model 1/2 = 5/10 and represent the decomposition as the sum and product of unit fractions.



Lesson 5 Problem Set 1

1. Draw horizontal lines to decompose each rectangle into the number of rows as indicated. Use the model to give the shaded area as both a sum of unit fractions and as a multiplication sentence.
a. 2 rows
b. 2 rows
Lesson 5 Problem Set 1

1. Draw horizontal lines to decompose each rectangle into the number of rows as indicated. Use the model to give the shaded area as both a sum of unit fractions and as a multiplication sentence.
c. 4 rows


 
Lesson 5 Problem Set 2

2. Draw area models to show the decompositions represented by the number sentences below. Represent the decomposition as a sum of unit fractions and as a multiplication sentence.
a. 1/2 = 3/6
b. 1/2 = 4/8
Lesson 5 Homework
1. Draw horizontal lines to decompose each rectangle into the number of rows as indicated. Use the model to give the shaded area as both a sum of unit fractions and as a multiplication sentence.
2. Draw area models to show the decompositions represented by the number sentences below. Represent the decomposition as a sum of unit fractions and as a multiplication sentence.




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