Why do this problem?
This activity acts as a further extension to Tiling the Garden
. It's an activity that is intended to give opportunities for those pupils to explore more deeply using their intuition and flair in the areas of both spatial awareness and number relationships .
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.
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?