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Investigate the relationship between the T-total and the T-number.  

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Tasks 1) Investigate the relationship between the T-total and the T-number 2) Use the grids of different sizes. Translate the T-shape to different positions. Investigate relationships between the T-total and the T- number and the grid size. 3) Use grids of different sizes again, try other transformations and combinations of transformations. Investigate relationships between the T-total and the T-number and the grid size and the transformations. Investigation into T-shapes Looking at the 10-10 grid below and the T-shape drawn on it, The total number of the numbers on the inside of the T-shape is called the T-total 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 The t-total for this T-shape is: 1+2+3+12+22=40 So 40 = T-total The number at the bottom is the T-number, so the T-number for this shape is 22 1) Relationship between T-number and T-total 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 Using random examples I am going to show the relationship between the T-total and T-number. T-number69-50+48+49+59+69=275(t-total) T-number32-11+13+12+22+32=90(t-total) T-Number T-total 22 40 23 45 24 50 25 55 26 60 27 65 28 70 29 75 As you can see from this table every time the t-number goes up 1 the t-total goes up...

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