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

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

Sticks and Triangles

Age 7 to 11 Challenge Level:

Have you got some headless matches or lolly sticks or straws that you could use to try out your ideas?
Whatever number of sticks you are trying, it might be a good idea to start by trying to make a triangle which has just one stick as a side.
Can you make any triangles with a side of two sticks? How about three sticks? Four? ...