Lesson 3

Find Equivalent 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.B
Apply and extend previous understandings of multiplication and division. (5.NF.B.3)

Standards for Mathematical Practice

MP2.
Reason quantitatively.
MP3.
Construct viable arguments and critique the reasoning of others.
MP4.
Model with mathematics.
MP5.
Use appropriate tools strategically.
MP8.
Look for and express regularity in repeated reasoning.

Students use fraction circle pieces to find equivalent fractions and compare fractions. They explore using multiplication and division strategies to find equivalent fractions and to compare fractions by finding fractions with common denominators.

Content in this Lesson

  • Representing fractions using circle pieces and other area models [E1].
  • Using words and numbers to name fractions represented by area models [E1].
  • Recognizing that equal fractional parts of a unit whole are the same size (e.g., all fourths of a rectangle are the same size) [E2].
  • Identifying the unit whole when given a fractional part of a whole [E3].
  • Finding equivalent fractions using area models [E4].
  • Finding equivalent fractions using multiplication and division strategies [E4].
  • Compare and order fractions using tools and multiplication and division strategies to find equivalent fractions with common denominators [E6].
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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

Materials for the Teacher

Materials Preparation

Make Equivalent Fractions Chart. Make a display of the Equivalent Fractions Chart page in the Student Activity Book on a large sheet of chart paper. See Figure 1. This chart can be used as a display throughout the remainder of this unit. Alternatively, a display of the Student Activity Book page can be shown.

Figure 1
Figure 1: Equivalent Fractions Chart

Assessment in this Lesson

Assessment Expectation Assessed Math Practices Expectation Assessed

Find Equivalent Fractions
Check-In: Question 9
Student Guide
Page 67
and the corresponding
Feedback Box
Teacher Guide - digital
E4.
Find equivalent fractions using tools (e.g., area models, number lines) and multiplication and division strategies.
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.

Comparing Fraction Pieces
Check-In: Questions 8–10
Student Activity Book
Page 30
E6.
Compare and order fractions using tools (e.g., area models, number lines), benchmarks, and multiplication and division strategies to find common denominators.