Lesson 9

Solving Fraction Multiplication Problems

Est. Class Sessions: 2
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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.
MP3.
Construct viable arguments and critique the reasoning of others.
MP4.
Model with mathematics.
MP5.
Use appropriate tools strategically.
MP7.
Look for and make use of structure.
MP8.
Look for and express regularity in repeated reasoning.

Students use models and strategies to solve multiplication problems involving fractions. They find partial products using a rectangle model to multiply a mixed number by a fraction to find area.

Content in this Lesson

  • Solving word problems involving multiplication of fractions [E5].
  • Representing multiplication of fractions with area models, number sentences, number lines, drawings, and stories [E3].
  • Multiplying fractions using area models, drawings, paper-and-pencil procedures, and number lines [E4].
  • Explaining the effects of factors less than and greater than 1 on the product of fractions [E6].
  • Choosing appropriately from among estimation and computation strategies [E7].
  • 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

Teacher Resources

 Teacher Guide - digital

Supplies for Students

  • fraction circle pieces

Supplies for Student Pairs

  • 20 connecting cubes or other counters

Materials for the Teacher

Assessment in this Lesson

Assessment Expectation Assessed Math Practices Expectation Assessed

Solving Fraction Multiplication Problems
Check-In: Questions 19–21
Student Guide
Page 506
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.
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.
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.
MPE3.
Check for reasonableness. I look back at my solution to see if my answer makes sense. If it does not, I try again.
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.

Vocabulary in this Lesson