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Would you like a personalised pencil case which is exactly the right size for the number of pens, pencils, etc, you generally carry around? Then make your own!
You'll need to think through some initial questions before you start planning your design:
When you've decided on the dimensions of your pencil case, have a think about what shape would be a good idea. You may well decide that a cylinder, cuboid or triangular, hexagonal or octagonal prism would work well.
What does the net of the shape you want look like?
Try modelling the net of your pencil case with scrap paper, folding the paper net into shape and sticking it together with sellotape. Does it work? Is it the right size for your pens and pencils?
Once you're happy with your paper prototype, you need to decide what materials you will use for the real thing:
This task develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.