Fraction Operations

Lesson 4

Math

Unit 5

4th Grade

Lesson 4 of 21

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

  • 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 less than or equal to 1 (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 video A Delicious Mix.

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

b.   What fraction of each kind of candy is in the bag? Make an estimate.

Guiding Questions

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Student Response

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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 Fishtank Learning, Inc.

Problem 2

Act 2: Use the following information to determine what fraction of the whole bag is each kind of candy.

A picture of 14 Reese's cups and 16 Rolos from an assorted bag. The bag has 56 total.

Guiding Questions

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Student Response

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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 Fishtank Learning, Inc.

Problem 3

Act 3: Here is the fraction of the bag each kind of candy is -

An assorted bag of candy with its candy laid out.

Was your estimate reasonable? Why or why not?

Guiding Questions

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Student Response

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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 Fishtank Learning, Inc.

Problem Set

15-20 minutes


Discussion of Problem Set

  • 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? 

Target Task

5-10 minutes


Problem 1

Solve. Show or explain your work.

Gauvain had $$5\over 6$$ yard of ribbon. He used $$3\over 6$$ to tie a bow on a gift. How much ribbon did he have left?

Student Response

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Problem 2

Solve. Show or explain your work.

Of the books Ayala read this year, $$1\over 12$$ were science fiction books and $$7\over 12$$ were mysteries. What fraction of the books were neither science fiction nor mysteries?

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

Decompose non-unit fractions less than 2 as a sum of unit fractions, as a sum of non-unit fractions, and as a whole number times a unit fraction.

Lesson 5
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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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