G6 unit 6 lesson 1

Expressions and Equations
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Unit 6

Lesson 1

Expressions and Equations

Tape Diagrams and Equations

Learning

Goal

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Let's see how tape diagrams
and equations can show
relationships between
amounts.

Unit 6 ● Lesson 1

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Warm-up

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

1.

Here are two diagrams. One represents 2 + 5 = 7. The other represents
5 • 2 = 10. Which is which? Label the length of each diagram.

2.

Draw a diagram that represents each equation.

4 + 3 = 7

4 • 3 = 12

Which Diagram is Which?

Unit 6 ● Lesson 1 ● Activity 1

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Warm-up

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

●

Where do you see the 5 in the first diagram?

●

How did you find the length of the first diagram?

●

Explain how you knew what the diagrams for 4 + 3 = 7 and
4 • 3 = 12 should look like. How are they alike? How are they
different?”

●

How did you represent 4 • 3? How are they alike? How are
they different?

Which Diagram is Which?

Unit 6 ● Lesson 1 ● Activity 1

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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.

Here are two tape diagrams. Match each equation to one of the tape
diagrams.

Match Equations and Tape Diagrams

Unit 6 ● Lesson 1 ● Activity 2

1.

4 + x = 12

4.

12 = 4 + x

7.

12 – 4 = x

2.

12 ÷ 4 = x

5.

12 – x = 4

8.

x = 12 – 4

3.

4 • x = 12

6.

12 = 4 • x

9.

x + x + x + x = 12

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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.

● How can you tell if a diagram represents addition or

multiplication?

● Once you were sure about one equation, how did

you find others that matched the same diagram?

● Regarding any two equations that represent the

same diagram: What is the same about the
equations? What is different?

Match Equations and Tape Diagrams

Unit 6 ● Lesson 1 ● Activity 2

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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.

For each equation, draw a diagram and find the value of the
unknown that makes the equation true.

1.

18 = 3 +x

2.

18 = 3 • y

Draw Diagrams for Equations

Unit 6 ● Lesson 1 ● Activity 3

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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.

● Why are tape diagrams useful to visualize a

relationship?

● Where in the tape diagram do we see the equal sign

that is in the equation it represents?

● Why can a diagram be represented by more than one

equation?

● Describe some ways to represent the relationship

23 + x = 132.

● Describe some ways to represent the relationship

5x = 230.

Tape Diagrams and Equations

Unit 6 ● Lesson 1

Learning
Targets

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Unit 6 ● Lesson 1

● I can tell whether or not

an equation could
represent a tape diagram.

● I can use a tape diagram

to represent a situation.

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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.

Finish the first diagram so that it represents 5 • x = 15,
and the second diagram so that it represents 5 + y = 15.

Finish the Diagrams

Unit 6 ● Lesson 1 ● Activity 4

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).

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).

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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