Lesson 6

Workshop: Add and Subtract Fractions

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.6, 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.
MP4.
Model with mathematics.
MP5.
Use appropriate tools strategically.
MP6.
Attend to precision.
MP7.
Look for and make use of structure.
MP8.
Look for and express regularity in
repeated reasoning.

Students practice estimating, adding, and subtracting fractions including those with unlike denominators and mixed numbers. Students choose to play either Circle Duets to practice adding fractions or the Closest To game to practice estimation and subtraction.

Content in this Lesson

  • Finding equivalent fractions using tools (e.g., area models, number lines) and multiplication and division strategies [E1].
  • Representing addition and subtraction of fractions with area models, number lines, and number sentences [E3].
  • Solving word problems involving addition and subtraction of fractions [E5].
  • Adding and subtract fractions including those with unlike denominators using area models and paper-and-pencil methods [E8].
  • Estimating sums and differences of fractions using benchmarks and mental math strategies [E9].
  • Finding common denominators and using them to add and subtract
    fractions [E10].
  • Choosing appropriately from among estimation and computation
    strategies [E7].
  • Knowing what information is important in a problem [MPE1].
  • Finding an estimation, addition, or subtraction strategy [MPE2].
  • Estimating sums and differences to check answers for reasonableness [MPE3].
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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

  • Circle Duets pages from Lesson 3 (Student Activity Book) Pages 401–403
  • prepared set of 4 Closest To Number Squares from Lesson 5 (Student Activity Book) Page 405
  • fraction circle pieces

Supplies for Student Groups

  • prepared deck from Closest To Game Cards Master from Lesson 5 (Teacher Guide)
  • clear plastic spinner or paper clip and pencil

Materials for the Teacher

Assessment in this Lesson

Assessment Expectation Assessed Math Practices Expectation Assessed

Find Fraction Sums and Differences
Self-Check: Questions 1–2
Student Activity Book
Page 409

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.

Find Fraction Sums and Differences
Check-In: Questions 16–17
with Feedback Box
Student Activity Book
Pages 418–420

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.
E5.
Solve word problems involving addition, subtraction, and multiplication of fractions.
E7.
Choose appropriately from among estimation and computation strategies.
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.
MPE1.
Know the problem.I read the problem carefully. I know the questions to answer and what information is important.
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.
MPE5.
Show my work. I show or tell how I arrived at my answer so someone else can understand my thinking.