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Lesson plan

Lesson 3: Tessellating Polygons

teaches Common Core State Standards 8.G.A http://www.corestandards.org/the-standards

Lesson 3: Tessellating Polygons

In this third in the sequence of three lessons, students examine tessellations using non-regular polygons. Students show that any triangle can be used to tessellate the plane and similarly for any quadrilateral. Pentagons do not work in general, for example, a regular pentagon cannot be used to tessellate the plane.

Tessellating the plane with a triangle uses the important idea, studied in the sixth grade, that two copies of a triangle can be put together to make a parallelogram. Tessellating the plane with a quadrilateral uses rigid motions of the plane and the fact that the sum of the angles in a quadrilateral is always 360. One example of a plane tessellation with a special pentagon also uses rotations.

Lesson overview

  • 3.1 Activity: Triangle Tessellations (15 minutes)
  • 3.2 Activity: Quadrilateral Tessellations (20 minutes)
  • 3.3 Activity: Pentagonal Tessellations (20 minutes)

Learning goals:

  • Generalize (orally) that any triangle or quadrilateral can be used to tessellate the plane.

Learning goals (student facing):

  • Let’s make tessellations with different polygons.

Required materials:

  • Tracing paper

Required preparation:

  • If students are using the applets in the digital versions of the activities, tracing paper may not be needed.

Glossary:

  • Access the complete Grade 8 glossary.

 

 

 

 

 

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).

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