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Cutting Corners

Can you make the most extraordinary, the most amazing, the most unusual patterns/designs from these triangles which are made in a special way?

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Bracelets

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?

Tri.'s

Age 7 to 11 Challenge Level:

You might find it useful to print off this sheet of blank 3 by 3 grids.
Alternatively, you could use a virtual geoboard.
You could try drawing all the triangles you can from one spot to start with.