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The Development of Algebra - 2

This is the second article in a two part series on the history of Algebra from about 2000 BCE to about 1000 CE.

3D Stacks

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  Doplication. It's an activity that is intended to give opportunities for those pupils to explore deeply using their intuition and flair in the areas of both spatial awareness and number replationships and patterns. 

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.  The pupils may need access to a spreadsheet once many number results are being acquired.

Key questions

Tell me about what you have found.
Can you describe the ways that you arrived at these numbers?
How did you construct this on the spreadsheet you used?