Fractions

Lesson 22

Math

Unit 6

3rd Grade

Lesson 22 of 24

Objective


Measure lengths to the nearest quarter inch.

Common Core Standards


Core Standards

  • 3.MD.B.4 — Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot, where the horizontal scale is marked off in appropriate units— whole numbers, halves, or quarters.

Foundational Standards

  • 2.MD.A.1

Criteria for Success


  1. Partition a half-inch ruler so that each inch is partitioned into quarter inches. 
  2. Measure objects to the nearest quarter inch (MP.6). 
  3. Understand the equivalence $$\frac{1}{2}$$ inch and $$\frac{2}{4}$$ inch.

Tips for Teachers


Lesson Materials

  • Half-inch ruler (1 per student) — These were constructed in Lesson 21 from Template: Ruler. These are also needed for the Extra Practice Problems. You might choose to have mass-produced quarter-inch rulers on hand for ease of using them to measure objects to the nearest quarter inch, but they are not required.
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Anchor Tasks

25-30 minutes


Problem 1

Wendell and Robin are now trying to measure the length of a ladybug in their bug collection using half-inch rulers. The measurement is shown below.  

How long would you say the ladybug is? Explain your thinking. 

Guiding Questions

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Student Response

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References

Visual: Ladybug image

Problem 2

a.   Construct a quarter-inch ruler by partitioning your half-inch rulers constructed from Template: Ruler in yesterday’s lesson into quarters of an inch.

b.   Wendell and Robin use their quarter-inch rulers to measure the length of the ant in their bug collection, as shown below.

Wendell says the ant is $$\frac{1}{2}$$ inch long. Robin says it’s $$\frac{2}{4}$$ inch long. Who is correct: Wendell, Robin, both of them, or neither of them? Explain. 

Guiding Questions

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Student Response

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Problem 3

a.   Find at least 4 objects in the classroom that have the lengths shown in the table.

Object Length
   $$2\frac{1}{2}$$ inches
  $$1 \frac{1}{4}$$ inches
  $$3 \frac{3}{4}$$ inches
  $$8 \frac{1}{2}$$ inches
  a whole number of inches
  a whole number and $$\frac{1}{4}$$ inches
  a whole number and $$\frac{2}{4}$$ inches
  a whole number and $$\frac{3}{4}$$ inches

b.   Write one of the lengths above in a different way.

Guiding Questions

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Student Response

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References

Illustrative Mathematics Illustrative Math Grade 3 Unit 6 Lesson 2 Activity 2

Illustrative Math Grade 3 Unit 6 Lesson 2 Activity 2, accessed on Jan. 31, 2023, 9:21 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.

Modified by Fishtank Learning, Inc.

Target Task

5-10 minutes


Opal is braiding a friendship bracelet and wants to know how much progress she has made. She measures the length of it as shown below.

What is the length of the friendship bracelet so far?

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Student Response

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References

Wikimedia Commons Photo: Friendship Bracelet Four Classical Element by Ra'ike

Friendship Bracelet Four Classical Element is made available on Wikimedia Commons under the CC BY-SA 4.0 license. Accessed Dec. 6, 2022, 3:46 p.m..

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.

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.

Next

Generate measurement data and represent it in a line plot.

Lesson 23
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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

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