Lesson 2

Equivalent Fractions and Ratios

Est. Class Sessions: 3
X

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, 5.NF.B.5)
5.G.A
Graph points on the coordinate plane to solve real-world and mathematical problems. (5.G.A.2)
5.OA.B
Analyze patterns and relationships. (5.OA.B.3)

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.

Students use fraction circle pieces to find fractions and ratios that are equivalent to each other. They use fractions to express a relationship between two quantities. Connections are drawn between point graphs that form a straight line and equivalent ratios. Students then find equivalent fractions using computation strategies.

Content in this Lesson

  • Using circle pieces, tables, and graphs to find equivalent fractions and ratios [E3].
  • Representing equivalent fractions and ratios using fraction circle pieces, tables, and graphs [E1].
  • Making a point graph [E7].
  • Using ratios to solve problems [E4].
  • Identifying fractions and ratios that are in simplest form [E2].
  • Connecting fractions and ratios.
  • Finding the simplest form of a ratio using fraction circle pieces and multiplication and division strategies [E2].
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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

  • set of fraction circle pieces

Materials for the Teacher

Assessment in this Lesson

Assessment Expectation Assessed Math Practices Expectation Assessed

Equivalent Fractions and Ratios
Check-In: Q# 18–20
Student Guide
Pages 219–220
E1.
Represent and identify fractions and ratios (e.g., proper, improper, mixed number) using area models, number lines, tables, graphs, words, and symbols.
MPE5.
Show my work. I show or tell how I arrived at my answer so someone else can understand my thinking.

Vocabulary in this Lesson