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'Extending Great Squares' printed from https://nrich.maths.org/

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Why do this problem?

 

It acts as a further extension to Great Squares. 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.  It may well be that choosing just one of the five pictures and staying with that for a considerable investigational time is the best way to use the activity. 

 

Key questions

 

Tell me about this/your thinking.