Fractions

Lesson 19

Objective

Express whole numbers greater than 1 as fractions whose unit is 1 (e.g., $$3=\frac{3}{1}$$).

Common Core Standards

Core Standards

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  • 3.NF.A.3.C — Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. Example: express 3 in the form 3 = 3/1; recognize that 6/1 = 6. Example: locate 4/4 and 1 at the same point of a number line diagram.

Criteria for Success

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  1. Understand that a whole that is not partitioned further and thus consists of one equal part can be represented as a fraction whose denominator is 1.
  2. Express whole numbers as fractions whose denominators are 1 and recognize fractions whose denominators are 1 that are equivalent to whole numbers (e.g., $$5=\frac{5}{1}$$).
  3. Explain the equivalence of a whole number with a fraction whose denominator is 1 using an area model, number line, or other method (MP.3, MP.5).

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  • Student Handout Editor
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Anchor Tasks

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Problem 1

  1. Partition the following whole into thirds. Write the whole as a fraction.

  1. Partition the following whole into halves. Write the whole as a fraction.

  1. Partition the following whole into wholes. Write the whole as a fraction.  

Guiding Questions

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References

EngageNY Mathematics Grade 3 Mathematics > Module 5 > Topic E > Lesson 25Concept Development

Grade 3 Mathematics > Module 5 > Topic E > Lesson 25 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..

Modified by The Match Foundation, Inc.

Problem 2

  1. Partition the following wholes into thirds. Write each whole as a fraction.

  1. Partition the following wholes into halves. Write each whole as a fraction.

  1. Partition the following wholes into wholes. Write each whole as a fraction.

Guiding Questions

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References

EngageNY Mathematics Grade 3 Mathematics > Module 5 > Topic E > Lesson 25Concept Development

Grade 3 Mathematics > Module 5 > Topic E > Lesson 25 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..

Modified by The Match Foundation, Inc.

Problem Set & Homework

Discussion of Problem Set

  • What do you notice about the models in #1? How is it similar to the work we did in Anchor Tasks #1 and #2? How is it different?
  • Why is it possible for a fraction to have a denominator of 1?
  • What model did you draw in #5 to support your reasoning? How does it support your reasoning?

Target Task

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Which of the following fractions is equivalent to 5? Draw a model to help explain your reasoning.

A.  $$\frac{5}{5}$$

B.  $$\frac{1}{5}$$

C.  $$\frac{5}{1}$$

D.  $$\frac{1}{1}$$

References

Achievement First Grade 3, Unit 5, Lesson 18Exit Ticket

Grade 3, Unit 5, Lesson 18 is made available by Achievement First as a part of their Open Source web portal under a CC BY 4.0 license. Copyright © 1999-2017 Achievement First. Accessed March 8, 2019, 4:28 p.m..

Modified by The Match Foundation, Inc.

Mastery Response

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