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Cut it Out

Can you dissect an equilateral triangle into 6 smaller ones? What number of smaller equilateral triangles is it NOT possible to dissect a larger equilateral triangle into?

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Tessellating Transformations

Can you find out how the 6-triangle shape is transformed in these tessellations? Will the tessellations go on for ever? Why or why not?

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Triangular Hexagons

Investigate these hexagons drawn from different sized equilateral triangles.

Tri-five

Stage: 2 Challenge Level: Challenge Level:1
How are you checking that you have not got any of them twice?
How will you know you've got all the arrangements?
You may find it useful to record your arrangements on dotty paper.
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. More information on many of our other activities can be found here.
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