Fractions

Lesson 17

Objective

Express the whole number 1 as fractions.

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 fraction is equivalent to 1 whole if it is the same size or the same point on a number line.
  2. Express 1 as fractions and recognize fractions that are equivalent to 1 (e.g., $$1 = \frac{4}{4}$$).
  3. Explain the equivalence of 1 with a fraction using an area model, number line, or other method (MP.3, MP.5).
  4. Look for and express regularity in repeated reasoning to generalize that when the numerator and denominator in a fraction are the same number, the fraction is equivalent to 1 whole (MP.8).

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Anchor Tasks

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Problem 1

Emily and Jaissa each have buckets that are the same size. Emily says her bucket is $$\frac{2}{2}$$ full. Jaissa says her bucket is $$\frac{3}{3}$$. Whose bucket is fuller, Emily’s or Jaissa’s? Explain how you know.

Guiding Questions

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Problem 2

Explain how $$\frac{6}{6}=1$$. Use an area model or a number line to support your thinking.

Guiding Questions

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Problem Set & Homework

Discussion of Problem Set

  • What did you notice in #3? What do you wonder?
  • The unit is 1 millionth. What fraction is equivalent to 1 whole?
  • Was anyone able to solve #4 without having to count unit fractions along the number line up to $$\frac{8}{8}$$? How?

Target Task

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Claire went home after school and told her mother that 1 is the same as $$\frac{3}{3}$$ and $$\frac{8}{8}$$. Her mother asked why, but Claire couldn’t explain. Use a model and words to help Claire show and explain why $$1=\frac{3}{3}=\frac{8}{8}$$.

References

EngageNY Mathematics Grade 3 Mathematics > Module 5 > Topic E > Lesson 21Exit Ticket

Grade 3 Mathematics > Module 5 > Topic E > Lesson 21 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.

Mastery Response

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