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T Shapes Investigation

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Introduction

Maths Coursework

T Shapes Investigation

Definition                                                                 Abbreviation:

On a grid we place a T Shape it can be any size.                        T Shape

T Total is the sum of all the numbers inside the T Shape                Tt.

T Number is the number at the base of the T.

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Middle

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The Orange T Shape is a 3 by 2 and the green is a 5 by 3, both of these are on a 9 by 9 grid.

T Shape                T No                Tt        

Orange 3 by 2          20                37        

Other 3 by 2        34                107        

Other 3 by 2        56                217

At this point I

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Conclusion

From these results I can form this formula which works for any size T Shape, Any Grid but no rotation.

The formula is:

Tt = (W+H)n- 7xS

I put 7 because that’s the number you need to multiply the grid by.

So we know this works, after doing the investigation I had trouble linking it all together and in the end ran out of time, the key points in the formula were what you times the grid by. So my final formulae were.

For a 3 by 2 any grid Tt = (W+H)n- 7xS

For other sizes you must use the one up the page and substitute into it.

By Julie Smith 10CE

Maths Coursework         Page  of         Julie Smith 10ce        

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