Lesson 2

Regular Tessellations

Lesson Narrative

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.

Learning Goals

Teacher Facing

  • 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.

Student Facing

Let’s make some regular tessellations.

Required Materials

Required Preparation

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

CCSS Standards

Building On


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