You may also like

problem icon

Sponge Sections

You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.

problem icon

Bands and Bridges: Bringing Topology Back

Lyndon Baker describes how the Mobius strip and Euler's law can introduce pupils to the idea of topology.

problem icon

Triangles in the Middle

This task depends on groups working collaboratively, discussing and reasoning to agree a final product.

Auditorium Steps

Stage: 2 and 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Why do this problem?

This activity is specially designed for the highest-attaining pupils that you ever come across. It acts as a further extension to Wrapping Presents. It's an activity that is intended to give opportunities for those pupils to explore deeply using their intuition, flair and risk-taking skills.

Possible approach

As this is designed for the highest attaining, it might be presented as on the website or in a one-to-one situation, encouraging discussion between adult and pupil. This discussion could determine what kind of start suits the learner, for example it may be a model needs to be constructed, it may be a conversation about imagining it in the head, it may be a $2$D representation.
 

Key questions 

Tell me about this/your thinking.