Why do this problem?
acts as a further extension to Two on Five
. It's an activity that is intended for high-attaining pupils to give them opportunities to explore a spatial context using their intuition and flair. It also provides an opportunity to create a system for solving such problems.
As this activity is intended to challenge the 'best' problem solvers in the class, it might be presented as on the website or in a one-to-one situation, encouraging discussion between adult and pupil. The pupils may need access to a computer program for drawing solutions.
Tell me about what you have found.
Can you describe the ways that you arrived at these shape arrangements?
How did you construct these on the computer?
It will probably be helpful to have interlocking cubes available and different kinds of squared paper.