Fraction Operations

Lesson 15

Math

Unit 5

4th Grade

Lesson 15 of 21

Objective


Solve word problems involving addition and subtraction 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.

Criteria for Success


  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 greater than one (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. 
  • The Problem Set includes a task involving the perimeter of a rectangle with fractional side lengths, connecting the major work of fractions (4.NF.3) with the supporting work of area and perimeter (4.MD.3) across domains. 
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Anchor Tasks

25-30 minutes


Problem 1

Act 1: Look at the following images of two people's running paths - 

     

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

b.   Runner A went around the first path twice, and Runner B went around the second path once. Which runner ran farther? How much farther? Make an estimate.

Guiding Questions

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Student Response

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References

Google Maps Map: Franklin Park

Map data ©Google. Accessed July 18, 2018, 12:39 p.m..

Modified by Fishtank Learning, Inc.
Google Maps Map: Charles River

Map data ©Google. Accessed July 18, 2018, 12:38 p.m..

Modified by Fishtank Learning, Inc.

Problem 2

Act 2: Use the following information to determine which runner ran farther and by how much.

  • Runner A runs around the first path, which is $$2\frac{2}{10}$$ miles, twice.
  • Runner B runs around the second path, which is $$7\frac{1}{10}$$ miles, once. 

Guiding Questions

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Student Response

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Problem 3

Act 3: Runner B ran $$2\frac{7}{10}$$ more miles than Runner A. 

Was your estimate reasonable? Why or why not?

Guiding Questions

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Student Response

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Problem Set

15-20 minutes


Discussion of Problem Set

  • What expression did you come up with in #1(a)? What made this tricky to figure out? 
  • Do Dennis and Cody have enough blocks to make their castle? How many buckets of blocks will they have left over after they build their castle? 
  • How much chocolate remains in #5? How did you solve? Is there another way you could have solved? 
  • How did you solve #6?

Target Task

5-10 minutes


Problem 1

Linus bought some ground beef at the grocery store. He used $$1\frac{1}{8}$$ pounds to make hamburgers. He has $$2\frac{5}{8}$$ pounds of ground beef left. How much ground beef did Linus buy at the grocery store?

Student Response

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Problem 2

A meteorologist is measuring the amount of snowfall, in inches, in various towns across Massachusetts. She records her results in the table below.

Town Snowfall (in.)
Pittsfield $$5 \frac{2}{4}$$
Holyoke $$3 \frac{1}{4}$$
Provincetown $$1 \frac{3}{4}$$
Boston ?

The amount of snowfall in Boston is $$\frac{3}{4}$$ inch greater than that of Pittsfield. What is the difference, in inches, between the greatest and least snowfalls?

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

Multiply a whole number by a fraction.

Lesson 16
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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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