These squares have been made from Cuisenaire rods. Can you describe the pattern? What would the next square look like?

Cut differently-sized square corners from a square piece of paper to make boxes without lids. Do they all have the same volume?

Can you use this information to work out Charlie's house number?

Up and Down Staircases

How many blocks are needed for a $3$ step up-and-down staircase?

Try making a table of the number of blocks needed for each numbers of steps.

Can you rearrange the blocks for each staircase to make a square pattern? How might this help?

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