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|Imagine a matchstick.|
|How many more are needed to make a square?
How many more need adding to make yet another square along side it?
Carry on adding more squares ...
|How many matches have you added?
How many matches are there when you have made 10 squares in the row?
20 squares? 50 squares?
We can arrange dots in a similar way to the 5 on a dice and they usually sit quite well into a rectangular shape. How many altogether in this 3 by 5? What happens for other sizes?
Compare the numbers of particular tiles in one or all of these three designs, inspired by the floor tiles of a church in Cambridge.
These alphabet bricks are painted in a special way. A is on one brick, B on two bricks, and so on. How many bricks will be painted by the time they have got to other letters of the alphabet?