Why do this problem?
is an excellent opportunity to engage children in talking about and describing 3D shapes and relating them to the shapes of their 2D faces.
might be useful for learners to use in pairs or groups.
Why not list the shape of the faces of each 3D shape?
Can you begin to link pairs of shapes together?
Can you see another square/hexagon etc?
If you have found a chain, can you find a loop?
If you have found a loop, how many different ones can you find?
Learners could add some more 3D shapes and try to make a longer chain. Perhaps they could draw the shapes as in the problem.
Suggest using these cards
and listing some of the shapes of their faces. This list of faces
that are given in the hints might be helpful.