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It is certainly worthwhile looking at gradually increasing the size of the squares. With younger pupils it would be good to allow them to discuss the situation for even sided squares and those with a side that is a multiple of 3. For older/more able pupils its a good idea to go at least as far as a 43 by 43 square! When a large number have been tried I would suggest that pupils try to examine their "system" for getting the least number of squares.
Dissect
Age 11 to 14
Challenge Level 
It is certainly worthwhile looking at gradually increasing the size of the squares. With younger pupils it would be good to allow them to discuss the situation for even sided squares and those with a side that is a multiple of 3. For older/more able pupils its a good idea to go at least as far as a 43 by 43 square! When a large number have been tried I would suggest that pupils try to examine their "system" for getting the least number of squares.
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