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This Piece of course work is to investigate the relationship between the T Total and the T Number . The T shapes will be 3 squares across and 3 squares down and they will be on a 9*9 grid.  

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This Piece of course work is to investigate the relationship between the T Total and the T Number . The T shapes will be 3 squares across and 3 squares down and they will be on a 9*9 grid. Firstly I will draw some T shapes onto the grid and see if I can spot a relationship. 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 1 2 3 11 20 T Number=20 T Total=1+2+3+11+20=37 14 15 16 24 33 T Number=33 T Total=14+15+16+24+33=102 52 53 54 62 71 T Number=71 T Total=52+53+54+62+71=292 55 56 57 65 74 T Number=71 T Total+55+56+57+65+74=307 Although those results could give me enough information to find a formula to find the T Total from the T Number, Now I will draw up some more T Shapes but this time all adjacent so that when I draw a table it will be easier to spot the relationship. 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 1 2 3 11 20 T Number=20 T Total=1+2+3+11+20=37 2 3 4 12 21 T Number=21 T Total=2+3+4+12+21=42 3 4 5 13 22 T Number=22 T Total=3+4+5+13=22=47 4 5 6 14 23 T Number=23 T Total=4+5+6+14+23=52 5 6 7 15 24 T Number=24 T Total=5+6+7+15+24=57 If I now put the these results into a table I will be able to see a pattern more...

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