Why do this problem?
This activity is good for giving pupils the chance to explore
shapes, order their solutions and create a system for getting all
the solutions. It will provoke much discussion, encouraging
learners to articulate their own ideas so providing a need to use
appropriate vocabulary.
Possible approach
It would be good to have some time together using the
interactivity on an interactive whiteboard. You could start by
making a few examples as a whole group so that the aims are
clear.
Give children time to explore other arrangements in pairs,
using triangles cut from paper or card, or plastic shapes if you
have them. If you do not have a large supply of these, you'll
perhaps want to encourage pupils to record their arrangements in
some way -
isometric paper would
be helpful.
Key questions
How are you checking that you have not got any of them
twice?
Can you tell me about the way you're finding new
arrangements?
Possible extension
What about getting pupils to ask "I wonder what would happen if we
...?"
Possible support
It would be a good idea to start with the
Triangle Animals problem which involves making the different
arrangements of three triangles.