Decompose Unit Fractions using Area Models
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Lesson Plans and Worksheets for Grade 4
Lesson Plans and Worksheets for all Grades
More Lessons for Grade 4
Common Core For Grade 4
Videos, solutions, and examples 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
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. 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
c. 4 rows
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
c. 1/2 = 5/10
d. 1/3 = 2/6
e. 1/3 = 4/12
f. 1/3 = 3/12
3. Explain why 1/12 + 1/12 + 1/12 is the same as 1/4.
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.
a. 3 rows
b. 2 rows
c. 4 rows
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. 1/3 = 2/6
b. 1/3 = 3/9
c. 1/3 = 4/12
d. 1/3 = 5/15
e. 1/5 = 2/10
f. 1/5 = 3/15
3. Explain why 1/12 + 1/12 + 1/12 + 1/12 is the same as 1/3.
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
Lesson Plans and Worksheets for Grade 4
Lesson Plans and Worksheets for all Grades
More Lessons for Grade 4
Common Core For Grade 4
Videos, solutions, and examples 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
New York State common Core Grade 4 Module 5, Lesson 5
Download Grade 4, Module 5, Lesson 5 Worksheets
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.
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
c. 4 rows
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
c. 1/2 = 5/10
d. 1/3 = 2/6
e. 1/3 = 4/12
f. 1/3 = 3/12
3. Explain why 1/12 + 1/12 + 1/12 is the same as 1/4.
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.
a. 3 rows
b. 2 rows
c. 4 rows
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. 1/3 = 2/6
b. 1/3 = 3/9
c. 1/3 = 4/12
d. 1/3 = 5/15
e. 1/5 = 2/10
f. 1/5 = 3/15
3. Explain why 1/12 + 1/12 + 1/12 + 1/12 is the same as 1/3.
Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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