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**How many squares are there on a chess board?**

Well lets investigate!

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**8 X 8 = 64 Well, that is easy! A chess board has 8 squares along…..**

…and 8 squares down 8 X 8 = 64

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**4 Well done, you know your square numbers! 1 x 1 = 1 2 x 2 = 4**

etc..etc.. 4 But the answer is still wrong.

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**4 “Miss….Miss…. The whole board is a square! So there are 65.”**

Well done Johnny, you’re thinking on the right lines.

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**Go into groups and investigate.**

But the answer is not quite right. Go into groups and investigate. What did you find out?

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**Blue table, what did you find out?**

“Well Miss, there are lots more squares, look..” “A 2 by 2 square, and there are lots of them.” And we worked together and found there are 49 2 by 2 squares!

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**Green table, what did you find out?**

“Well Miss, there are lots more squares, look..” “A 3 by 3 square, and there are lots of them.” And we worked together and found there are 36 3 by 3 squares!

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**Yellow table, what did you find out?**

“Well Miss, there are lots more squares, look..” “A 4 by 4 square, and there are lots of them.” And we worked together and found there are 25 4 by 4 squares!

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**So the tables continued...**

Red: “There are 16, 5 by 5 squares.” Purple: “There are 9, 6 by 6 squares.” White: “There are 4, 7 by 7 squares.” Well done class, lets put our findings together.

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**4 1 x 1 = 1 “That’s the big board.” 2 x 2 = 4 “7 by 7”**

8 x 8 = 64 “That’s all the squares” 4 Well done, you know your square numbers!

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So, equals 204 4

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**So, how many squares are there on a chess board?**

It depends on your level of learning. With a little help from your friends... 64 or 204

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