# Fraction Operations

## 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.

#### Fishtank Plus

• Problem Set
• Student Handout Editor
• Vocabulary Package

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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?

#### 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.

#### 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

#### 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.

## Discussion of Problem Set

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• 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?

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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.

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