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Number Grid Aim: The aim of this investigation is to formulate an algebraic equation that works out the product of multiplying diagonally opposite corners of a particular shape and finding the difference between the results  

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Mathematics Coursework Number Grid Aim: The aim of this investigation is to formulate an algebraic equation that works out the product of multiplying diagonally opposite corners of a particular shape and finding the difference between the results. I will start off by working this out on a 2x2 square in a 10 x 10 grid and then will investigate varying the widths and lengths of squares and rectangles. Method: In order to simplify the process, the investigation has been divided into sections according to the size of squares in the grids. 2 x 2 Squares To begin with, I used a 10 x 10 grid, looking at 2 x 2 squares: 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 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 Then I took 2 x 2 squares from this grid and multiplied the opposing corners to calculate the difference between the two products. 1 2 11 12 1 x 12 = 12 2 x 11 = 22 ? 22 - 12 = 10 So the difference between the answers is 10. I then...

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