Geometry & Art: Tessellations

A-CED Regular Tessellations of the plane

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This task examines the ways in which the plane can be covered by regular polygons in a very strict arrangement called a regular tessellation. These tessellations are studied here using algebra, which enters the picture via the formula for the measure of the interior angles of a regular polygon (which should therefore be introduced or reviewed before beginning the task). The goal of the task is to use algebra in order to understand which tessellations of the plane with regular polygons are possible.

Material Type: Activity/Lab

Author: Illustrative Mathematics

Exploring Tessellations (Grades 6-8)

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In this activity, learners design unique tiles and make repeating patterns to create tessellations. This activity combines the creativity of an art project with the challenge of solving a puzzle. This lesson features three investigations, in which learners make tessellations by translating, rotating, and reflecting the patterns.

Material Type: Activity/Lab

Authors: Exploratorium, Gordon and Betty Moore Foundation, National Science Foundation, The Exploratorium

Making a Translation Tessellation

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In this activity, learners slide shapes to create unusual tiled patterns. Learners transform a rectangle into a more interesting shape and then make a tessellation by repeating that shape over and over again. Learners will also calculate the area of a rectangle. This activity works best as a "centers" activity.

Material Type: Activity/Lab

Authors: Exploratorium, Gordon and Betty Moore Foundation, National Science Foundation, The Exploratorium