Fraction Operations

Objective

Solve word problems involving addition, subtraction, and multiplication of fractions.

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.

• 4.NF.B.4.C — Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie?

Criteria for Success

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

Fishtank Plus

• Problem Set
• Student Handout Editor
• Vocabulary Package

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Problem 1

Act 1: Watch the slideshow of images listed under Act 1 in Cans of Paint.

How much paint is in the display?

References

The Mind of an April Fool Cans of Paint

Cans of Paint is made available on The Mind of an April Fool under the CC BY-NC 4.0 license. Accessed July 18, 2018, 4:39 p.m..

Modified by The Match Foundation, Inc.

Problem 2

Act 2: Use the following information to solve.

• There are 12 cans of red paint that are each $3\frac{10}{16}$ quarts.
• There are 14 cans of green paint that are each $3\frac{11}{16}$ quarts.
• There are 4 cans of blue paint that are each $3\frac{10}{16}$ quarts.
• Do you have all the information you need to solve?

References

The Mind of an April Fool Cans of Paint

Cans of Paint is made available on The Mind of an April Fool under the CC BY-NC 4.0 license. Accessed July 18, 2018, 4:39 p.m..

Modified by The Match Foundation, Inc.

Problem 3

There are $109\frac{5}{8}$ quarts of paint.

References

The Mind of an April Fool Cans of Paint

Cans of Paint is made available on The Mind of an April Fool under the CC BY-NC 4.0 license. Accessed July 18, 2018, 4:39 p.m..

Modified by The Match Foundation, Inc.

Problem 4

Act 4 (the sequel): If a quart of paint costs \$8, how much does each color of paint in the display cost? What about all of them together?

References

The Mind of an April Fool Cans of Paint

Cans of Paint is made available on The Mind of an April Fool under the CC BY-NC 4.0 license. Accessed July 18, 2018, 4:39 p.m..

Modified by The Match Foundation, Inc.

Problem Set & Homework

Discussion of Problem Set

• How much land would be left unused in #1? How did you subtract from a whole?
• How did you determine what could be the amount Jake added to his bottle in #3(b)?
• How many tubes of paint are used for each shirt in #4? 2 or 18? How do you know?
• When you check for reasonableness, do you look at your equations and model? How do you figure out if your answer is reasonable?

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The table below shows the sizes and weights of containers of potato salad sold at a store.

 Size Weight (pounds) Small ${{2\over8}}$ Medium ${{3\over8}}$ Large ${{6\over8}}$ Extra-large ${1{1\over8}}$

Kim purchased 6 small containers of potato salad and Seth purchased 2 extra-large containers of potato salad. What is the diference in the weights, in pounds, of Kim's and Seth's purchases?

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