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Unit 5

To the Number Line

Lesson 5

Fractions as Numbers

Expressions and Equations

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Let’s learn about fractions on the number line.

Unit 5 ● Lesson 5

Learning

Goal

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Two Number Lines

Unit 5 ● Lesson 5 ● Warm-up

What do you notice? What do you wonder?

3

Notice and Wonder

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

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Card Sort: Number Lines

Unit 5 ● Lesson 5 ● Activity 1

Sort the cards into categories of your choosing. Be prepared to explain the meaning of your categories.

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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

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Card Sort: Number Lines

Unit 5 ● Lesson 5 ● Activity 1

How did you know if a number line had tick marks that represent fractions?

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Activity Synthesis

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

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Fold and Label the Number Line

Unit 5 ● Lesson 5 ● Activity 2

Andre and Clare are talking about how to label fractions on the number line.

Andre says can be labeled like this:

Clare says can be labeled like this:

How could each student’s labeling make sense?

3

Launch

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

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Fold and Label the Number Line

Unit 5 ● Lesson 5 ● Activity 2

Andre was thinking about the parts that had length , so he labeled the parts from 0 to and to 1 with .

To locate and label the number we find the endpoint of the first one-half part from 0 and label it.

3

Launch

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

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Fold and Label the Number Line

Unit 5 ● Lesson 5 ● Activity 2

  1. Andre and Clare are talking about how to label fractions on the number line.

Andre says can be labeled like this:

Clare says can be labeled like this:

How could each student’s labeling make sense?

3

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

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Fold and Label the Number Line

Unit 5 ● Lesson 5 ● Activity 2

  1. Cut your number lines apart so that you can fold each one.

As you fold, discuss your strategies with your partner.

  1. Fold one of the number lines into halves. Draw tick marks to show the halves. Label the number .
  2. Fold one of the number lines into thirds. Draw tick marks to show the thirds. Label the number .
  3. Fold one of the number lines into fourths. Draw tick marks to show the fourths. Label the number .
  4. Fold one of the number lines into sixths. Draw tick marks to show the sixths. Label the number .
  5. Fold one of the number lines into eighths. Draw tick marks to show the eighths. Label the number .

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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

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Fold and Label the Number Line

Unit 5 ● Lesson 5 ● Activity 2

How was partitioning these number lines similar to partitioning our fraction strips?

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Activity Synthesis

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

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To the Number Line

Unit 5 ● Lesson 5

Today we used what we know about fractions to think about where fractions are located on the number line.

What did you learn about locating and labeling fractions on the number line today?

How could we use this length to locate and label the number on this number line?

Locate and label on the number line.

3

Lesson Synthesis

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

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Reflection

Unit 5 ● Lesson 5

Describe something you really understand well after today’s lesson or describe something that was confusing or challenging.

3

Cool-down

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

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All curriculum excerpts are under the following licenses:

IM K–5 Math™ is copyright 2021 by Illustrative Mathematics®. It is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.