Lesson 8

Compare Fractions to Benchmarks

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)

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.
MP5.
Use appropriate tools strategically.
MP8.
Look for and express regularity in repeated reasoning.

Students compare and order fractions using the benchmarks of 0, 1/2, and 1. They order sets of fractions with common denominators and sets of fractions with common numerators. Number lines provide a visual model for students as they order fractions according to size.

Content in this Lesson

  • Comparing and ordering fractions using number lines [E6].
  • Comparing and ordering fractions using benchmarks [E6].
  • Comparing and ordering fractions with common denominators [E6].
  • Comparing and ordering fractions with common numerators [E6].
  • Identifying equivalent fractions [E4].
  • Deciding what information is important in solving a problem [MPE1].
  • Choosing good tools and efficient strategies for solving problems [MPE2].
  • Communicating problem-solving strategies verbally and in writing [MPE5].
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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

Assessment in this Lesson

Assessment Expectation Assessed Math Practices Expectation Assessed
Compare Fractions to Benchmarks
Check-In:
Questions 9–11
Student Guide
Page 85
E6.
Compare and order fractions using tools (e.g., area models, number lines), benchmarks, and multiplication and division strategies to find common denominators.
MPE1.
Know the problem. I read the problem carefully. I know the questions to answer and what information is important.
MPE5.
Show my work. I show or tell how I arrived at my answer so someone else can understand my thinking.
Comparing Fractions Quiz
with Feedback Box
Teacher Guide - digital
E4.
Find equivalent fractions using tools (e.g., area models, number lines) and multiplication and division strategies.
E6.
Compare and order fractions using tools (e.g., area models, number lines), benchmarks, and multiplication and division strategies to find common denominators.
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.