Regular Tessellations of the Plane

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.
Resource ID#: 42557 Type: Problem-Solving Task
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General Information

Subject(s): Mathematics
Grade Level(s): 9, 10, 11, 12
Intended Audience: Educators educators, Students , Parents
Keywords: regular tessellations of the plane, regular tessellation, tessellation, square tessellation, hexagonal tessellation, triangular tessellation, plane, congruent, polygon, regular polygon, vertex, edge, inequality, algebra, geometry, cpalms, icpalms, illustrativemathematics.org, illustrative mathematics, tasks, mathematics, math, Florida standards, resource, free, freely available, problems-based learning, student activities
Instructional Component Type(s): Problem-Solving Task
Resource Collection: Illustrative Mathematics

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