Fraction Operations
Lesson 20
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.
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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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- Make sense of a three-act task and persevere in solving it (MP.1).
- 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.
Anchor Tasks
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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?
Guiding Questions
References
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 Fishtank Learning, 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?
Guiding Questions
References
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 Fishtank Learning, Inc.Problem 3
Act 3: Reveal the answer.
There are $$109\frac{5}{8}$$ quarts of paint.
Guiding Questions
References
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 Fishtank Learning, 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?
Guiding Questions
References
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 Fishtank Learning, 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?
Target Task
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The table below shows the sizes and weights of containers of potato salad sold at a store.
Potato Salad
| 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?
References
From EngageNY.org of the New York State Education Department. New York State Testing Program Grade 4 Common Core Mathematics Test Released Questions June 2017. Internet. Available from https://www.engageny.org/resource/released-2017-3-8-ela-and-mathematics-state-test-questions/file/150261; accessed March 7, 2018, 1:59 p.m..
Modified by Fishtank Learning, Inc.Mastery Response
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Additional Practice
Unit Practice
With Fishtank Plus you can access our Daily Word Problem Practice and our content-aligned Fluency Activities created to help students strengthen their application and fluency skills.
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