Lesson 8

Equivalent Fractions

Est. Class Sessions: 2–3
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Mathematical Standards

4.NF.A
Extend understanding of fraction equivalence and ordering. (4.NF.A.1, 4.NF.A.2)
4.NF.B
Build fractions from unit fractions. (4.NF.B.4)

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.

Students find equivalent fractions using their fraction charts from Lesson 4 and the fraction circle pieces. They write number sentences to represent the equivalent fractions and look for patterns in the number sentences. They use these patterns to develop other ways to find equivalent fractions.

Content in this Lesson

  • Representing fractions using area models including fraction strips and circle pieces [E1].
  • Finding equivalent fractions using area models and number lines [E8].
  • Finding equivalent fractions using multiplication and division strategies [E8].
  • Representing fraction comparisons with symbols (e.g., <, >, =) [E7].
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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, one set per student

Materials for the Teacher

Display of Fraction Chart (Student Guide) Reference
Unit 8 Assessment Record
Display set of fraction circle pieces
chart paper
measuring cups of different sizes: 1/8, 1/4, 1/2, 3/4, 1 cup, optional

Assessment in this Lesson

Assessment Expectation Assessed

Equivalent Fractions Quiz
with Feedback Box
Teacher Guide - digital
E6.
Write number sentences from area models of fractions (e.g., 1/2 = 3/6, 1/3 + 1/3 = 2/3, 1/3 + 1/3 + 1/3 = 1/3 × 3).
E8.
Find equivalent fractions using area models (circle pieces, fraction strips, drawings) and multiplication and division strategies.

Vocabulary in this Lesson