# Fractions

## 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).

#### Fishtank Plus

• Problem Set
• Student Handout Editor
• Vocabulary Package

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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.

### Problem 2

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

## 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?

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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.

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