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Unit 5

Changing Temperatures

Rational Number Arithmetic

Lesson 2

Expressions and Equations

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Let's add signed numbers.

Unit 5 ● Lesson 2

Learning

Goal

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Arrows

Unit 5 ● Lesson 2 ● Activity 1

Which pair of arrows doesn't belong?

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Warm-up: Which One Doesn’t Belong?

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.

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Warmer and Colder

Unit 5 ● Lesson 2 ● Activity 2

If the temperature starts at 40 degrees and increases 10 degrees, what will the final temperature be?

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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.

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Warmer and Colder

Unit 5 ● Lesson 2 ● Activity 2

  1. Complete the table and draw a number line diagram for each situation.
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.

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Warmer and Colder

Unit 5 ● Lesson 2 ● Activity 2

  • Complete the table and draw a number line diagram for each situation.

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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.

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Warmer and Colder

Unit 5 ● Lesson 2 ● Activity 2

  • How can we represent an increase in temperature on a number line? How can we represent a decrease?
  • How are positive numbers represented on a number line? How are negative numbers represented?
  • How can we represent a sum of two numbers?
  • How can we determine the sum from a number line diagram?
  • What happens when we add a positive number to another number?
  • What happens when we add a negative number to another number?

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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.

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Winter Temperatures

Unit 5 ● Lesson 2 ● Activity 3

One winter day, the temperature in Houston is 8° Celsius. Find the temperatures in these other cities. Explain or show your reasoning.

  1. In Orlando, it is 10° warmer than it is in Houston.
  2. In Salt Lake City, it is 8° colder than it is in Houston.
  3. In Minneapolis, it is 20° colder than it is in Houston.
  4. In Fairbanks, it is 10° colder than it is in Minneapolis.
  5. Write an addition equation that represents the relationship between the temperature in Houston and the temperature in Fairbanks.

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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.

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Winter Temperatures

Unit 5 ● Lesson 2 ● Activity 3

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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.

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Winter Temperatures

Unit 5 ● Lesson 2 ● Activity 3

  • Which situation in the activity does this number line diagram represent?

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  • What addition equation is represented in the diagram?
  • What equation did you write for the last question in the activity?

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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.

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Changing Temperatures

Unit 5 ● Lesson 2

  • How can you represent an increase or decrease in temperature using an addition equation?
  • How can you represent an addition equation on a number line?

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Lesson Synthesis

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.

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Unit 5 ● Lesson 2

I can use a number line to add positive and negative numbers.

Learning

Targets

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Stories about Temperature

Unit 5 ● Lesson 2 ● Activity 4

  1. Write a story about temperatures that this expression could represent: 27 + (-11).
  2. Draw a number line diagram and write an expression to represent this situation: “On Tuesday at lunchtime, it was 29℃. By sunset, the temperature had dropped to 16℃.”

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Cool-down

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.

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This slide deck is copyright 2020 by Kendall Hunt Publishing, https://im.kendallhunt.com/, and is licensed under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0), https://creativecommons.org/licenses/by-nc/4.0/.

All curriculum excerpts are under the following licenses:

IM 6–8 Math was originally developed by Open Up Resources and authored by Illustrative Mathematics, and is copyright 2017-2019 by Open Up Resources. It is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0). OUR's 6–8 Math Curriculum is available at https://openupresources.org/math-curriculum/.

Adaptations and updates to IM 6–8 Math are copyright 2019 by Illustrative Mathematics, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

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Adaptations to add additional English language learner supports are copyright 2019 by Open Up Resources, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

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The Illustrative Mathematics name and logo are not subject to the Creative Commons license and may not be used without the prior and express written consent of Illustrative Mathematics.

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