Why do this
problem?
This activity is good for allowing pupils to explore both
shapes and number, or to choose a particular aspect to focus on.
There is a lot of freedom involved and there are exciting things to
find out. Learners will be able to take control of their own
learning and choose their own direction in this task.
Possible approach
You could begin by showing some of the pictures in the problem
on the screen for the pupils to see and talk about. What
similarities do they notice? What differences? They may pick up on
the fact that the common link is the number $28$ straight away, but
if not you can ask questions to probe them further. If some would
like more examples they can be found
here.
You can then set the group off on their own ideas using the
number $28$. Pupils should be encouraged to ask themselves
questions like " I wonder what would happen if I ...?", making a
small change and exploring further.
Key questions
Tell me about what you've got here.
Is there anything special about this shape you have
made?
Can you find another arrangement?
Possible extension
Talk about symmetry and look for final shapes that are
symmetrical and those that are asymmetric.
Possible support
There may be a need for help with those with less developed
fine motor skills for moving the shapes and fitting them together.
Magnetic shapes can sometimes help.