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  • Early Years Foundation Stage

Tessellating Triangles

Age 7 to 11
Challenge Level Yellow star
  • Problem
  • Getting Started
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Equilateral triangles have three sides the same length and three angles the same. Can you make them fit together to cover the paper without any gaps between them? This is called 'tessellating'. red triangle.

What about triangles with two equal sides? These are isosceles triangles.

Can you tessellate all isosceles triangles?

Now try with right angled triangles. These have one right angle or 90 degree angle.

Some triangles have sides that are all different. Can you tessellate these?

Could you tessellate any triangle?


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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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