Curriculum  /  Math  /  4th Grade  /  Unit 5: Fraction Operations  /  Lesson 19

Fraction Operations

Lesson 19

Math

Unit 5

4th Grade

Lesson 19 of 21

Objective

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

Common Core Standards

Core Standards

  • 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

  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

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. 

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Anchor Tasks

25-30 minutes

Problem 1

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

a.   What do you notice? What do you wonder?

b.   How much paint is in the display? Make an estimate.

Guiding Questions

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Student Response

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References

kristenacosta.com Cans of Paint

Cans of Paint is made available on kristenacosta.com 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 determine how much paint is in the display. 

  • 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. 

Guiding Questions

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Student Response

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References

kristenacosta.com Cans of Paint

Cans of Paint is made available on kristenacosta.com 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: There are $$109\frac{5}{8}$$ quarts, or $$27\frac{13}{32}$$ gallons, of paint.

Was your estimate reasonable? Why or why not?

Guiding Questions

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Student Response

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References

kristenacosta.com Cans of Paint

Cans of Paint is made available on kristenacosta.com 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): A customer takes four cans of green paint from the display. How much paint, in quarts, is in the display now?

Guiding Questions

Create a free account or sign in to access the Guiding Questions for this Anchor Problem.

Student Response

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References

kristenacosta.com Cans of Paint

Cans of Paint is made available on kristenacosta.com under the CC BY-NC 4.0 license. Accessed July 18, 2018, 4:39 p.m..

Modified by Fishtank Learning, Inc.

Problem Set

15-20 minutes

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

5-10 minutes

A grocery store sells coleslaw in containers of various sizes and weights, as shown in the table below.

Coleslaw

Size Weight (pounds)
Small $${{3\over8}}$$
Medium $${{7\over8}}$$
Large $$1{{1\over8}}$$

Teri bought 4 small containers of coleslaw and Olin bought 2 large containers of coleslaw. What is the difference, in pounds, of how much coleslaw Teri and Olin bought?

Student Response

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Additional Practice

The Extra Practice Problems can be used as additional practice for homework, during an intervention block, etc. Daily Word Problems and Fluency Activities are aligned to the content of the unit but not necessarily to the lesson objective, therefore feel free to use them anytime during your school day.

Word Problems and Fluency Activities

Word Problems and Fluency Activities

Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.

Next

Make a line plot (dot plot) representation to display a data set of measurements in fractions of a unit.

Lesson 20
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Lesson Map

A7CB09C2-D12F-4F55-80DB-37298FF0A765

Topic A: Building, Adding, and Subtracting Fractions Less Than or Equal to 1

Topic B: Building, Adding, and Subtracting Fractions Less Than 2

Topic C: Building, Adding, and Subtracting Fractions Greater Than or Equal to 2

Topic D: Multiplication of Fractions

Topic E: Line Plots

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