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Number Stairs Introduction In this investigation I plan to find out how grid size affects the relationship between the total of a step stair and the position of the step stair shape on various sized number grids, e.g. 91 92 93 94 95 96 97 98 99 100 81 82 83 84 85 86 87 88 89 90 71 72 73 74 75 76 77 78 79 80 61 62 63 64 65 66 67 68 69 70 51 52 53 54 55 56 57 58 59 60 41 42 43 44 45 46 47 48 49 50 31 32 33 34 35 36 37 38 39 40 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20 1 2 3 4 5 6 7 8 9 10 The shaded squares show a 3 step stair on a 10 x 10 grid, but I shall be investigating various sized stairs relationships between their positions and their totals on various grid sizes. The grid sizes I will be using in my investigation are as follows: 1. 10 x 10 2. 9 x 9 3. 8 x 8 The total for the stair is: 1 + 2 + 3 + 11 + 12 + 21= 50 The total for the stair is always worked out by adding up all the values inside of the stair shape. The position of the stair is 1. The stairs position is always worked out by the number in the bottom left hand corner. The position= n Investigation for 3...

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