Unit 9, Lesson 2# Tessellations of the Plane

Open Up Resources 145 min(s)

Examine patterns of polygons that fill the plane Build and study patterns with specific polygons Understand the concept of a regular tessellation See that triangles, squares, and hexagons can be used to make a regular tessellation Understand that no other regular polygon can be used to make a regular tessellation Tessellate the plane with special polygons (triangles, quadrilaterals, and one pentagon). In this optional exploration in pure mathematics, students are introduced to tesselations of the plane. The activities in this lesson provide students a chance to go more deeply and apply grade 8 geometry concepts to a mathematical context. As students progress through the activities in this lesson, they gain an intuition for the variety of ways some shapes can be put together to build a tessellation and the restrictions on how some shapes can be put together to build a tessellation.