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'Triangle Shapes' printed from http://nrich.maths.org/
Here are two triangles. We're going to see what shapes we can get by using many of them.
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You might like to print off this sheet of triangles to cut out and use, or you could use this interactive board to make shapes:
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You might try putting them together like this:
Try making that or something similar.
Sometimes you can make "jewel-like" shapes:
See what "jewels" you can make.
You might make the triangles from different materials, or use an overhead projector transparency so that they are a bit transparent, then you can overlap them:
When you do that, you might try to see what shapes you've made at the overlap.
Maybe you could experiment further with this idea and create pictures like these:
Please do send in pictures of the shapes you make, whether they include overlaps or not.
Tell us what you notice about the shapes you've made.