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How many triangles can you make on the 3 by 3 pegboard?

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Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?

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Tessellating Triangles

Can you make these equilateral triangles fit together to cover the paper without any gaps between them? Can you tessellate isosceles triangles?

Putting Two and Two Together

Stage: 2 Challenge Level: Challenge Level:1

You might find it helpful to have lots of triangles cut out so you can try out your ideas. You could print off these sheets, or use the interactivity to work on the green triangle part of the problem.
Remember you can only join sides that are the same length, so which sides will join to which?
Once you have joined two sides, can you join the same sides in any other ways?
How will you record the shapes you have made?