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Maths Coursework Aim: Investigate the relationship between the T-total and the T-number. Use grids of different sizes and translate the T-shape to different positions. Investigate relationships between the T-total and the T-number and the grid size. Method: In order to find this rule we will have to go through a trial and error process. To secure an algebraic rule expressed in the nth term we will have to test it in many variables. These variables consist of random placement of the T-shapes; another is the shape being placed at different degrees. This will provide us with numerous results, which will help us, gain a conclusive overall algebraic term. 9x9 Number grid (Across) 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 T-Total Difference 20 1+2+3+11+20=37 - 21 2+3+4+12+21=42 5 22 3+4+5+13+22=47 5 23 4+5+6+14+23=52 5 24 5+6+7+15+24=57 5 25 6+7+8+16+25=62 5 As the T-Shape translates across by 1, the T-Number increases by 1. The difference in T-Total is 5 each time so far. Therefore the T-Total for the T-Number 24 should be 57 if the pattern follows. The T-Total for...

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