Lesson 10

Divide Fractions

Est. Class Sessions: 2–3
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Mathematical Standards

5.NF.A
Use equivalent fractions as a strategy to add and subtract fractions. (5.NF.A.1, 5.NF.A.2)
5.NF.B
Apply and extend previous understandings of multiplication and division. (5.NF.B.4, 5.NF.B.5, 5.NF.B.6, 5.NF.B.7)

Standards for Mathematical Practice

MP1.
Make sense of problems and persevere in solving them.
MP2.
Reason quantitatively.
MP4.
Model with mathematics.
MP5.
Use appropriate tools strategically.
MP6.
Attend to precision.
MP7.
Look for and make use of structure.
MP8.
Look for and express regularity in repeated reasoning.

Students use area models, number lines, and drawings to represent and solve word problems involving division of fractions and share their invented strategies. Students use the relationship between multiplication and division to solve fraction division problems.

Content in this Lesson

  • Solving word problems involving division of fractions [E5].
  • Representing division of fractions with area models, number sentences, number lines, drawings, and stories [E3].
  • Dividing fractions using area models, drawings, and number lines [E4].
  • Explaining the effects of factors less than and greater than 1 on the product of fractions [E6].
  • Representing the simplest form of a fraction [E2].
  • Knowing the problem [MPE1].
  • Finding a strategy [MPE2].
  • Estimating to check for reasonableness [MPE3].
  • Using labels to show what numbers mean [MPE6].
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Materials for Students

Daily Practice and Problems Lesson Homework Assessment

Student Books

 Student Guide  
Student Activity Book      

Teacher Resources

 Teacher Guide - digital    

Supplies for Students

  • fraction circle pieces
  • several sheets of paper

Materials for the Teacher

Assessment in this Lesson

Assessment Expectation Assessed Math Practices Expectation Assessed

Divide Fractions
Check-In: Questions 15–16
Student Guide
Page 511
and corresponding Feedback Box
Teacher Guide - digital
E3.
Represent addition, subtraction, multiplication, and division of fractions with area models, number lines, number sentences, drawings, and stories.
E4.
Multiply and divide fractions using area models, drawings, and number lines.
E5.
Solve word problems involving addition, subtraction, and multiplication of fractions.
MPE1.
Know the problem. I read the problem carefully. I know the questions to answer and what information is important.
MPE2.
Find a strategy. I choose good tools and an efficient strategy for solving the problem.
MPE5.
Show my work. I show or tell how I arrived at my answer so someone else can understand my thinking.
MPE6.
Use labels. I use labels to show what numbers mean.

Multiply and Divide
Fractions Quiz
with Feedback Box
Teacher Guide - digital
E2.
Represent and identify the simplest form of a fraction using tools (e.g., area models) and multiplication and division strategies.
E3.
Represent addition, subtraction, multiplication, and division of fractions with area models, number lines, number sentences, drawings, and stories.
E4.
Multiply and divide fractions using area models, drawings, and number lines.
E5.
Solve word problems involving addition, subtraction, and multiplication of fractions.
E6.
Explain the effects of factors less than and greater than 1 on the product of fractions (e.g., is the product of 1/2 × 3 larger or smaller than 3).
E7.
Choose appropriately from among estimation and computation strategies.
MPE2.
Find a strategy. I choose good tools and an efficient strategy for solving the problem.