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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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Bracelets

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

Cutting it Out

Age 5 to 11 Challenge Level:

So, I started with a $10$ by $10$ green square,
I marked the half-way point along the top edge,
I then drew a line from that point to a corner at the base.
pic1pic2pic3
Then I cut the corner piece out along that line and made a change of colour, so I ended up with these two shapes:

pic4a
What can you say about these two shapes?
Can you say something about the relationship between them?
Do you have any other ideas about these two shapes?

What about starting with a rectangle like this ...
rect1

Then you could mark it at half-way or elsewhere ...
rect2rect3
What can you say now?