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How do you move from one square to the next?
What do you notice about the x coordinates of the centres?
What do you notice about the y coordinates of the centres?
Investigate how you can work out what day of the week your birthday will be on next year, and the year after...
Can you dissect a square into: 4, 7, 10, 13... other squares? 6, 9, 12, 15... other squares? 8, 11, 14... other squares?
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...