Lesson plan

Lesson 2: Regular Tessellations

teaches Common Core State Standards 8.G.A http://www.corestandards.org/the-standards
teaches Common Core State Standards 8.G.A.5 http://corestandards.org/Math/Content/8/G/A/5
teaches New York State Standards NY-8.G.5.

Lesson 2: Regular Tessellations

In this second in a sequence of three lessons, students look at regular tessellations. Two polygons in a regular tessellation must

  • not meet at all or
  • share a single vertex or
  • share a single side

Students show in detail that triangles, squares, and hexagons give the only possible regular tessellations.

Lesson overview

  • 2.1 Optional Activity: Regular Tessellations (15 minutes) 
    • There is a digital applet in this activity.
  • 2.2 Optional Activity: Equilateral Triangle Tessellation (15 minutes) 
  • 2.3 Optional Activity: Regular Tessellation for Other Polygons (15 minutes) 
    • There is a digital applet in this activity.

Learning goals:

  • Justify (orally and in writing) that regular triangles, squares, and hexagons are the only regular polygons that can be used to create a regular tessellation.

Learning goals (student facing):

  • Let’s make some regular tessellations.

Required materials:

  • Protractors
  • Tracing paper

Required preparation:

  • If using the applet in the digital version of the activity, tracing paper and protractors are not needed.

Glossary:

  • Access the complete Grade 8 glossary.

Standards

  • This lesson builds on the standard: CCSS.7.G.BMO.7.GM.B

 

 

 

 

 

 

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.

This site includes public domain images or openly licensed images that are copyrighted by their respective owners. Openly licensed images remain under the terms of their respective licenses.