Number Grid
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Number Grid Coursework Danny Stone Mr. Williams' Class 11LA Number Grid Coursework 25th October 2004 I am investigating the patterns which form when I have different size grids, and in these grids there will be different sized windows. Example: 5 x 5 Grid, with 3 x 3 window 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 I will be finding the difference between two products. The products will always be: (top right x bottom left) - (top left) x (bottom right) In this example, it can be represented as: (9 x 17) - (7 x 19) Using a range of different grid and window sizes, I will hope to find an equation to fit any window size, for example, a 5 x 5 grid. I will then hope to find the equation for any grid size. Throughout I will use algebra as further evidence of what I have found. So, my hope is to find a formula to find the difference between any two products in any window, and on any grid size. 5...


