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T-shape - investigation
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| Submitted: Wed Sep 22 2004
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Math's GCSE Course work 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 Task Translate the T shape to different positions on the grid. 1. Investigate the relationship between the T-total and the T-number. 2. Use different sized grids. Translate the T shape to different position and investigate the relationships between the T-total the T-numbers and the grid size. 3. Use grids of different sizes again. Try other transformation and combinations of transformations. Investigate relationships between the T-total, the T-total, the gridsize and the transformations. Part 1 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 T-number 20 30 40 50 60 70 80 T-total 37 87 137 187 237 287 337 From my results I would say that every time the T- number goes up by 10 the T-total goes up by 50. I am now going to try and work out a formula for the relationships between the T-total and the T-number for anywhere on the grid. I am going to do this by working out all of the numbers in relation to N (T-number.) 1 2 3 n-19 n-18 n-17 11 = n-9 20 n Now I will add up all of the N's and all of...
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