Fractions

Lesson 14

Math

Unit 6

3rd Grade

Lesson 14 of 24

Objective


Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers.

Common Core Standards


Core Standards

  • 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


  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. Understand that a fraction is equivalent to a whole number if they are the same size or the same point on a number line.
  3. Express whole numbers as fractions and recognize fractions that are equivalent to whole numbers (e.g., $$5=\frac{5}{1}$$).
  4. Look for and express regularity in repeated reasoning to generalize when a whole number is equivalent to a whole number (such as when the numerator and denominator are equal (and thus the fraction is equal to 1), when the denominator divides the numerator, or the denominator is 1) (MP.8).
Fishtank Plus

Unlock features to optimize your prep time, plan engaging lessons, and monitor student progress.

Anchor Tasks


Problem 1

a.   Partition the following number line into thirds. Write each whole number as a fraction.

b.   Partition the following number line into halves. Write each whole number as a fraction.

c.   Partition the following number line into wholes. Write each whole number as a fraction.

Guiding Questions

Create a free account or sign in to access the Guiding Questions for this Anchor Problem.

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 Fishtank Learning, Inc.

Problem 2

a.   On each number line below, circle the fractions that are equivalent to whole numbers. Explain how you know.

b.   We can write $$\frac{4}{2}=2$$ to show that $$\frac{4}{2}$$ and $$2$$ are at the same location on the number line, so they are equivalent. Write 5 more equations to show fractions that are equivalent to whole numbers. Use the number lines if they are helpful.

c.   Decide if each fraction is equivalent to a whole number. Use number lines if they are helpful.

  1. $$\frac{11}{2}$$
  1. $$\frac{5}{1}$$
  1. $$\frac{12}{6}$$
  1. $$\frac{10}{3}$$
  1. $$\frac{12}{8}$$
  1. $$\frac{16}{4}$$​​​

Guiding Questions

Create a free account or sign in to access the Guiding Questions for this Anchor Problem.

References

Illustrative Mathematics Activity 1

Activity 1, accessed on Feb. 3, 2023, 6:55 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.

Problem 3

Work with your group to complete the table. In each column, write fractions that are equivalent to the whole number in the top row.  

  • Step 1: Write two fractions that are equivalent to each whole number (six fractions in all). Pass your paper to your right. 
  • Step 2: When you receive your neighbor’s paper, write a new fraction that is equivalent to a whole number.
  • Repeat Step 2 until the table is complete.
4 5 6
$$\frac{4}{1}$$    
  $$\frac{}{2}$$  
    $$\frac{}{3}$$
$$\frac{}{4}$$    
  $$\frac{30}{6}$$  
    $$\frac{48}{8}$$

Guiding Questions

Create a free account or sign in to access the Guiding Questions for this Anchor Problem.

References

Illustrative Mathematics Activity 2

Activity 2, accessed on Feb. 3, 2023, 7:13 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.

Problem Set


Answer Keys

Unlock the answer keys for this lesson's problem set and extra practice problems to save time and support student learning.

Discussion of Problem Set

  • Was anyone able to solve #1 without having to count unit fractions along the number line up to 88? How?
  • How did you use the pattern you noticed in #3 to determine the number of tenths equivalent to 2 wholes? 3 wholes? 4 wholes?
  • Did Kevin have more orange pieces or apple pieces in #8, Part C? How do you know? Did anyone solve by reasoning about the size of each piece? Explain.
  • Why is it possible for a fraction to have a denominator of 1?

Target Task


Problem 1

Which fraction is equivalent to a whole number? Select the three correct answers.

Create a free account or sign in to view multiple choice options

Problem 2

Is $$\frac{14}{3}$$ equivalent to a whole number? Show or explain your reasoning.

Problem 3

Write 1 as a fraction. Show or explain your reasoning.

Student Response

Create a free account or sign in to view Student Response

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.

Extra Practice Problems

Answer Keys

Answer keys for Problem Sets and Extra Practice Problems are available with a Fishtank Plus subscription.

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.

icon/arrow/right/large copy

Lesson 13

icon/arrow/right/large

Lesson 15

Lesson Map

A7CB09C2-D12F-4F55-80DB-37298FF0A765

Topic A: Understanding Unit Fractions and Building Non-Unit Fractions

Topic B: Fractions on a Number Line

Topic C: Equivalent Fractions

Topic D: Comparing Fractions

Topic E: Line Plots

Request a Demo

See all of the features of Fishtank in action and begin the conversation about adoption.

Learn more about Fishtank Learning School Adoption.

Contact Information

School Information

What courses are you interested in?

ELA

Math

Are you interested in onboarding professional learning for your teachers and instructional leaders?

Yes

No

Any other information you would like to provide about your school?

Effective Instruction Made Easy

Effective Instruction Made Easy

Access rigorous, relevant, and adaptable math lesson plans for free