This activity investigates how you might make squares and pentominoes from Polydron.
If you had 36 cubes, what different cuboids could you make?
How can you put five cereal packets together to make different
shapes if you must put them face-to-face?
You can make all kinds of designs, perhaps pretending that you are making an animal or an alien or designing a house or some futuristic building or in fact you can just imagine that you are creating rather interesting shapes and are happy with that.
It is quite a good idea to set some sort of rule or rulesthat you have to follow and see how many models/designs you can make if you follow those rules.
I think a good challenge to start with is;
Now let's say that the cubes have to be joined "properly", that is with no twists, so a that a square face is flat against the next square face.
So the two main rules that will control how we will build are as follows:-
Well I wonder how many different designs you can discover or forecast?
When you've done a few it would be good to see if there is a "system", or "particular way of working" that you are using or could use to make things easier.
There are some variations that many children come across. Some times they ask "Are these allowed?". A good reply may be " Well, what are the rules that we are using? Do these keep the rules?".
Some pupils :-