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© T Madas. How many squares on a 1 by 1 grid? How many squares on a 2 by 2 grid? How many squares on a 3 by 3 grid? How many squares on a 4 by 4 grid?

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Presentation on theme: "© T Madas. How many squares on a 1 by 1 grid? How many squares on a 2 by 2 grid? How many squares on a 3 by 3 grid? How many squares on a 4 by 4 grid?"— Presentation transcript:

1 © T Madas

2 How many squares on a 1 by 1 grid? How many squares on a 2 by 2 grid? How many squares on a 3 by 3 grid? How many squares on a 4 by 4 grid? How many squares on a 5 by 5 grid?

3 Put a title Write an introduction explaining what the problem is You must explain in words as fully as you can exactly what you are doing in each step. Use diagrams Collect your results in tables Look for patterns Make predictions Always test your prediction afterwards Look for a formula that will always work Try to explain why it works Extend your work into a more complicated problem Present your work neatly throughout Write a conclusion to your work

4 Put a title Write an introduction explaining what the problem is You must explain in words as fully as you can exactly what you are doing in each step. Use diagrams Collect your results in tables Look for patterns Make predictions Always test your prediction afterwards Look for a formula that will always work Try to explain why it works Extend your work into a more complicated problem Present your work neatly throughout Write a conclusion to your work

5 © T Madas

6 ???????etc ??????6 x 6 ?????5 x 5 ????4 x 4 ???3 x 3 142 x 2 11 x 1 etc6 x 65 x 54 x 43 x 32 x 21 x 1 Number of SquaresGrid size

7 © T Madas

8 etc 6 x 6 5 x 5 4 x 4 1493 x 3 142 x 2 11 x 1 etc6 x 65 x 54 x 43 x 32 x 21 x 1 Number of SquaresGrid size

9 © T Madas

10 etc 6 x 6 5 x 5 149164 x 4 1493 x 3 142 x 2 11 x 1 etc6 x 65 x 54 x 43 x 32 x 21 x 1 Number of SquaresGrid size

11 © T Madas

12 etc 6 x 6 14916255 x 5 149164 x 4 1493 x 3 142 x 2 11 x 1 etc6 x 65 x 54 x 43 x 32 x 21 x 1 Number of SquaresGrid size

13 © T Madas

14 How many squares on a 5 by 5 square grid? 1 by 1 : 25 squares

15 © T Madas How many squares on a 5 by 5 square grid? 1 by 1 : 25 squares 2 by 2 : 16 squares

16 © T Madas How many squares on a 5 by 5 square grid? 1 by 1 : 25 squares 2 by 2 : 16 squares 3 by 3 : 9 squares

17 © T Madas How many squares on a 5 by 5 square grid? 1 by 1 : 25 squares 2 by 2 : 16 squares 3 by 3 : 9 squares 4 by 4 : 4 squares

18 © T Madas How many squares on a 5 by 5 square grid? 1 by 1 : 25 squares 2 by 2 : 16 squares 3 by 3 : 9 squares 4 by 4 : 4 squares 5 by 5 : 1 square

19 © T Madas TEMPLATED SHEETS

20 © T Madas

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