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How will you know that you have found all the arrays for that dice total?
You could make a note of the dice total or totals in each game for which you've been able to draw the most arrays.
Why can you draw lots of arrays for some totals but not for others?
These two group activities use mathematical reasoning - one is numerical, one geometric.
What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.
Use this grid to shade the numbers in the way described. Which numbers do you have left? Do you know what they are called?