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Unit 6

Metric Conversion and Division by Powers of Ten

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Lesson 4

More Decimal and Fraction Operations

Expressions and Equations

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Let’s convert units.

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Unit 6 ● Lesson 4

Learning

Goal

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Divide by a Hundred and a Thousand

Unit 6 ● Lesson 4 ● Warm-up

Decide if each statement is true or false. Be prepared to explain your reasoning.

  • 5 ÷ 1,000 = 0.05
  • 36 ÷ 100 = 0.36
  • 1,328 ÷ 1,000 = 1.328

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True or False

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

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Long Jump, Javelin Throw, and Shot Put

Unit 6 ● Lesson 4 ● Activity 1

What do you notice? What do you wonder?

athlete

long jump

javelin throw

shot put

Jackie Joyner-Kersee, USA

727 cm

4,566 cm

1,580 cm

Sabine John, Germany

671 cm

4,256 cm

1,623 cm

Anke Behmer, Germany

678 cm

4,454 cm

1,420 cm

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Launch

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

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Long Jump, Javelin Throw, and Shot Put

Unit 6 ● Lesson 4 ● Activity 1

  1. Below are some results Jackie Joyner-Kersee recorded in different events in 1988. Complete the table.

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  • Which unit of measure is most helpful when you picture each distance, centimeters or meters? Explain or show your reasoning.
  • Why do you think that the distances are measured to the nearest centimeter?

event

centimeters

meters

long jump

727

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javelin throw

4,566

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shot put

1,580

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

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Long Jump, Javelin Throw, and Shot Put

Unit 6 ● Lesson 4 ● Activity 1

727 ÷ 100 = 7.27

4,566 ÷ 100 = 45.66

1,580 ÷ 100 = 15.80

  • What patterns do you notice?
  • Why does dividing by 100 represent how many meters are in the given centimeters?
  • How did you find the result of 727 divided by 100?
  • What unit of measurement was most helpful when you pictured each distance?

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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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Hurdles

Unit 6 ● Lesson 4 ● Activity 2

  1. The table shows how many meters some students ran during a week. Complete the table to show how many kilometers each student ran.

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  • What patterns do you notice in the table?

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student

distance (meters)

distance (kilometers)

Diego

9,513

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Clare

11,018

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Priya

8,210

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Andre

10,000

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

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Hurdles

Unit 6 ● Lesson 4 ● Activity 2

  • Below is Tyler’s strategy to divide a whole number by 10, 100, or 1,000.

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Describe to your partner what Tyler means.

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

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Hurdles

Unit 6 ● Lesson 4 ● Activity 2

  • Why does Tyler’s strategy work? Will Tyler’s strategy always work? Explain or show your reasoning.

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

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Hurdles

Unit 6 ● Lesson 4 ● Activity 2

  • Share with your partner your response as to whether or not Tyler’s strategy will always work. Take turns being the speaker and the listener.
    • If you are the speaker, share your ideas and writing so far.
    • If you are the listener, ask questions and give feedback to help your partner improve their work.
  • Revise your initial draft based on the feedback you got from your partners.

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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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Metric Conversion and Division by Powers of Ten

Unit 6 ● Lesson 4

  • Today we converted from smaller metric distance units to larger metric distance units. We noticed and explained patterns in numbers when they are divided by 10, 100, and 1,000.
  • What are the missing values in the table? How do you know?
  • How is converting from smaller meters to larger kilometers the same and how is it different from converting from larger kilometers to smaller meters?

kilometers

meters

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7,864

2.037

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Lesson Synthesis

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

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Han’s Run

Unit 6 ● Lesson 4

Han ran 12,500 meters last week. How many kilometers is that? Explain or show your reasoning.

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Cool-down

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

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