Fraction Operations

Lesson 4

Objective

Solve word problems that involve the addition and subtraction of fractions where the total is less than or equal to one.

Common Core Standards

Core Standards

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  • 4.NF.B.3.D — Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem.

Criteria for Success

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  1. Make sense of a three-act task and persevere in solving it (MP.1).
  2. Solve one-, two-, and multi-step word problems that involve the addition and subtraction of fractions less than or equal to 1 (MP.4).

Tips for Teachers

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Let students work on each problem in the Problem Set independently and circulate to see whether students are solving correctly. If not, come back together to discuss how/what to draw on a tape diagram, then allow them to try again on their own. 

Remote Learning Guidance

This lesson does not have any identified priority Anchor Tasks, but students should complete the Problem Set independently rather than skipping the lesson entirely. Find more guidance on adapting our math curriculum for remote learning here.

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  • Problem Set
  • Student Handout Editor
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Anchor Tasks

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Problem 1

Act 1: Watch the following video: A Delicious Mix.

What fraction of each kind of candy is in the bag?

Guiding Questions

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References

Ms Castillos Math 3 Act: A Delicious Mix

3 Act: A Delicious Mix by Catherine Castillo is made available on Ms Castillos Math. Accessed July 17, 2018, 11:39 a.m..

Modified by The Match Foundation, Inc.

Problem 2

Act 2: Use the following information to solve.

Guiding Questions

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References

Ms Castillos Math 3 Act: A Delicious Mix

3 Act: A Delicious Mix by Catherine Castillo is made available on Ms Castillos Math. Accessed July 17, 2018, 11:39 a.m..

Modified by The Match Foundation, Inc.

Problem 3

Act 3: Reveal the answer.

Guiding Questions

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References

Ms Castillos Math 3 Act: A Delicious Mix

3 Act: A Delicious Mix by Catherine Castillo is made available on Ms Castillos Math. Accessed July 17, 2018, 11:39 a.m..

Modified by The Match Foundation, Inc.

Problem Set & Homework

Discussion of Problem Set

  • How many students played either soccer or basketball in #2? What role does the word “or” serve in this problem? 
  • I think the answer to #4 is $${{7\over8}}$$. Do you agree or disagree with me? Why? 
  • How did you decide what the possible mass of the music and art books was in #7(b)? 
  • What was the total amount of toppings, in gallons, in #8? What is another way to represent this amount? 

Target Task

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Problem 1

Solve. Show or explain your work. 

Alicia had $${{7\over8}}$$ yard of fabric. She used $${{5\over8}}$$ for a pillow. How much fabric did she have left?

References

Achievement First Grade 4, Unit 6, Lesson 10 (2017-2018)Independent Practice, Question #7

Grade 4, Unit 6, Lesson 10 (2017-2018) is made available by Achievement First as a part of their Open Source web portal under a CC BY 4.0 license. Copyright © 1999-2017 Achievement First. Accessed July 19, 2018, 1:26 p.m..

Modified by The Match Foundation, Inc.

Problem 2

Solve. Show or explain your work.

Of the computer games Lynne owns, $${{4\over12}}$$ are sports games and $${{3\over12}}$$ are educational. What fraction of the games are neither sport games nor educational games?

References

Achievement First Grade 4, Unit 6, Lesson 10 (2017-2018)Independent Practice, Question #1

Grade 4, Unit 6, Lesson 10 (2017-2018) is made available by Achievement First as a part of their Open Source web portal under a CC BY 4.0 license. Copyright © 1999-2017 Achievement First. Accessed July 19, 2018, 1:26 p.m..

Modified by The Match Foundation, Inc.

Mastery Response

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Additional Practice

Unit Practice

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