Fractions

Lesson 6

Math

Unit 6

3rd Grade

Lesson 6 of 24

Objective


Identify a shaded fractional part in different ways, depending on the designation of the whole.

Common Core Standards


Core Standards

  • 3.NF.A.1 — Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b.

Criteria for Success


  1. Partition the same shape into different wholes and determine the fractional part of each whole a certain equal part represents.
  2. Given an image of a shape and more than one fraction that the shaded piece represents, determine the different ways the whole can be designated.
  3. Understand that “when the whole is not specified, which fraction is being represented is left ambiguous” (Naming the Whole for A Fraction, Illustrative Mathematics), which necessitates attending to precision when describing and naming fractions (MP.6).

Tips for Teachers


Lesson Materials

  • rectangular piece of paper (1 per student) — Students could use an index card or a quarter sheet of paper
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Anchor Tasks


Problem 1

a.   Fold your rectangular piece of paper to make 4 equal parts. Shade and label the first part. What fraction of the whole is shaded? What is the whole? Draw a border around the whole. 

b.   Flip your piece of paper over. The new whole is half of the card. Draw a border around the new whole. Shade the same area you shaded on the other side. What fraction of the whole is shaded now?

Guiding Questions

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References

EngageNY Mathematics Grade 3 Mathematics > Module 5 > Topic C > Lesson 13Concept Development

Grade 3 Mathematics > Module 5 > Topic C > Lesson 13 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

Mrs. Frances drew a picture on the board. Then she asked her students what fraction it represents.

a.   Emily said that the picture represents $$\frac{2}{6}$$. Label the picture to show how Emily's answer can be correct.

b.   Raj said that the picture represents $$\frac{2}{3}$$. Label the picture to show how Raj's answer can be correct.

c.   Alejandra said that the picture represents 2. Label the picture to show how Alejandra's answer can be correct.

Guiding Questions

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References

Illustrative Mathematics Naming the Whole for a Fraction

Naming the Whole for a Fraction, accessed on March 19, 2019, 10:55 a.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

  • Who is correct in #6? How do you know?
  • In #7(a)–(c), box the rope that represents the whole. Circle the rope that represents the part.
  • Compare Towel Rack A in #7(a) and #7(e).
  • Compare Towel Rack B in #7(b) and #7(e).
  • How did you use your work in #7 to help you solve #8?

Target Task


Lola made lasagna for a church potluck. Below represents how much of the two pans of lasagna were eaten. 

Lola says $$3\over 4$$ of the lasagna was eaten. Milton, Lola’s brother, says $$6\over 4$$ of the lasagna was eaten. Who is correct? Explain your answer.

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.

Extra Practice Problems

Answer Keys

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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.

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Lesson 5

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Lesson 7

Lesson Map

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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

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