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Colouring Triangles

Explore ways of colouring this set of triangles. Can you make symmetrical patterns?

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Chain of Changes

Arrange the shapes in a line so that you change either colour or shape in the next piece along. Can you find several ways to start with a blue triangle and end with a red circle?

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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?

Triangle Shapes

Stage: 1 and 2 Challenge Level: Challenge Level:1

If you're not using the interactivity (or as well as using it!), you might want to print off these triangles to cut out. You could cut them out of tissue paper or overhead transparencies if you want to investigate overlaps.
What makes a 'jewel shape' different from one of the shapes in the first group, do you think?
It's good to talk about what others see in the designs you've made. Sometimes they will see shapes you may not have noticed.
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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NRICH is part of the family of activities in the Millennium Mathematics Project.