Lesson 1

Fraction Sums and Differences

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.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.
MP5.
Use appropriate tools strategically.
MP6.
Attend to precision.
MP7.
Look for and make use of structure.

Students estimate fraction sums and differences. They use fraction circle pieces, number lines, and multiplication and division strategies to find equivalent fractions with common denominators. Students then use these strategies to solve addition and subtraction problems involving fractions with unlike denominators.

Content in this Lesson

  • Estimating sums and differences of fractions using benchmarks and mental math strategies [E9].
  • Identifying and finding equivalent fractions using fraction circle pieces, number lines, and multiplication and division strategies [E1].
  • Finding common factors and common denominators and using them to add and subtract fractions [E10].
  • Adding and subtracting fractions including those with unlike denominators using area models and paper-and-pencil methods [E8].
  • Representing addition and subtraction of fractions with fraction circle pieces, number lines, and number sentences [E3].
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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

Use Equivalent Fractions to Add and Subtract
Check-In: Question 8 with Feedback Box
Student Activity Book
Pages 396–397
E1.
Identify and find equivalent fractions using tools (e.g., area models, number lines) and multiplication and division strategies.
E3.
Represent addition, subtraction, multiplication, and division of fractions with area models, number lines, number sentences, drawings, and stories.
E8.
Add and subtract fractions including those with unlike denominators using area models and paper-and-pencil methods.
E9.
Estimate sums and differences of fractions using benchmarks and mental math strategies.
E10.
Find common denominators and use them to add, subtract, and compare fractions.

Fraction Sums and Differences
Check-In: Questions 5–7
Student Guide
Page 459
and corresponding
Feedback Box
Teacher Guide - digital
E8.
Add and subtract fractions including those with unlike denominators using area models and paper-and-pencil methods.
E9.
Estimate sums and differences of fractions using benchmarks and mental math strategies.
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.