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How many squares are there on a chess board? Well lets investigate!

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Presentation on theme: "How many squares are there on a chess board? Well lets investigate!"— Presentation transcript:

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2 How many squares are there on a chess board? Well lets investigate!

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

4 Well done, you know your square numbers! 1 x 1 = 1 2 x 2 = 4 3 x 3 = 9 4 x 4 = 16 5 x 5 = 25 6 x 6 = 36 7 x 7 = 49 8 x 8 = 64 9 x 9 = 81 etc..etc.. 4 But the answer is still wrong.

5 “Miss….Miss…. The whole board is a square! So there are 65.” 4 Well done Johnny, you’re thinking on the right lines.

6 But the answer is not quite right. Go into groups and investigate.

7 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!

8 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!

9 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!

10 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.”

11 Well done, you know your square numbers! 1 x 1 = 1“That’s the big board.” 2 x 2 = 4 “7 by 7” 3 x 3 = 9 “6 by 6” 4 x 4 = 16 “5 by 5” 5 x 5 = 25 “4 by 4” 6 x 6 = 36 “3 by 3” 7 x 7 = 49 “2 by 2” 8 x 8 = 64 “That’s all the squares” 4

12 So, equals 204 4

13 So, how many squares are there on a chess board? It depends on your level of learning. 64 or 204 With a little help from your friends...


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