# investigate how the T number moves across And down effects the T total.

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Introduction

To investigate how the T number moves across And down effects the T total. 8 by 10 grids 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 I have colored numbers inside the grid so it looks like a letter T. I have also done this on a 9 by 10 grid and a 10 by 10 grid. To investigate how the T number moves across And down effects the T total. In this investigation I had to find out how the T number moves across and down, effects the T total. I used grid sizes of 8 by 10, 9 by 10 and 10 by 10. The T number is the number at the bottom of the T. 18 = the T number The T total is all the numbers inside the T added together. 1 + 2 + 3 + 10 + 18 = 34 34 = the T total I drew 3 grids to show how the T moves across and down on them. ...read more.

Middle

The equations here are T - the gridsize. More Equations I worked some more equations but instead of using I used G instead because G is the gridsize. In these equations I predict that the end equation will be the same on all of them. I could take a t out of any size grid and still get the same equation. 8 by 10 grid. = = In my equation I used G for the gridsize so T-8 is equal to T-G because G is equal to 8 and 8 is the gridsize. 9 by 10 grid. = = In my equation I used G for the gridsize so T-9 is equal to T-G because G is equal to 9 and 9 is the gridsize. 10 by 10 grid. = = In my equation I used G for the gridsize so T-10 is equal to T-G because G is equal to 10 and 10 is the gridsize. I added all the T's up to make 5T and then added 2G + 2G + 2G + G and found out that it is equal to 7g. The equation is 5T - 7G. I got the 5T by adding all the T's up inside the T. I got -56, -63 and -70 by adding all the numbers up inside the T. Then I realized that it went up in 7's. ...read more.

Conclusion

Then I put M into the algebra. M meaning multiple. I am using a multiple of 2 because that is what the grid was going up in. = = = = Multiples I drew a 10*10 grid going up in the three times table. I took a T out of the grid and then done the algebra for it. Here are my results:- T - Number T - Total 75 165 Algebra = In this T is equal to 75 so 75 - 45 is equal to T - 30. Then I did the equation using G for the grid size. = = In my equation I used G for the gridsize so T-30 is equal to T-3g because G is equal to 10 and 10 is the gridsize. Then I put M into the algebra. M meaning multiple. I am using a multiple of 3 because that is what the grid was going up in. = = = I looked at both equations for the grids going up in 2's & 3'sand found out a pattern. The pattern is that on the multiple equations it is the same for both of them apart from the number at the end. On the 2 equation it is + 2 & - 2 and on the 3 equation it is + 3 & - 3. The equation here is 5T because I added all the T's and then I got 7MG because I added up MG + 2MG + 2MG + 2MG. Therefore the equation is 5T - 7MG. Maths Coursework T - Totals ...read more.

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