Tiling the Plane

Expressions and Equations
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Unit 1
Area and Surface Area

Lesson 1
Tiling the Plane

Learning

Goal

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Let’s look at tiling patterns
and think about area.

Unit 1 ● Lesson 1

Warm-up: Which One Doesn’t Belong?

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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.

Tilings

Unit 1 ● Lesson 1 ● Activity 1

Which pattern doesn’t belong?

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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.

More Red, Green, or Blue?

Your teacher will assign
you to look at Pattern A
or Pattern B.

In your pattern, which
shapes cover more of
the plane: blue
rhombuses, red
trapezoids, or green
triangles? Explain how
you know.

Unit 1 ● 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.

More Red, Green, or Blue?

Unit 1 ● 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.

More Red, Green, or Blue?

● How does the area of the trapezoid compare to the

area of the triangle?

● How does the area of the rhombus compare to the

area of the triangle?

● Is it possible to compare the area of the rhombuses

in Pattern A and the area of the triangles in Pattern
B? How?

Unit 1 ● Lesson 1 ● Activity 2

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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.

Tiling the Plane

● What are some of the tools in the geometry toolkit

and what are they used for?

● Draw two shapes that you know do not have the

same area. How can you tell?

Unit 1 ● Lesson 1

Learning
Targets

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Unit 1 ● Lesson 1

I can explain the meaning of
area.

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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.

What is Area?

Think about your work today, and write your best
definition of area.

Unit 1 ● Lesson 1 ● Activity 3

Glossary
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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.

area

Unit 1 ● Lesson 1

Area is the number of square units that cover a two-dimensional
region, without any gaps or overlaps.

For example, the area of region A is 8 square units. The area of the
shaded region of B is ½ square unit.

Glossary
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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.

region

Unit 1 ● Lesson 1

A region is the space inside of a shape. Some examples
of two-dimensional regions are inside a circle or inside a
polygon. Some examples of three-dimensional regions
are the inside of a cube or the inside of a sphere.

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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