# T-Total.My aim to find different digits/numbers in the letter T using different grids. And then we have to record the results in a separate table as l am working with each grid.

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Introduction

AIM

My aim to find different digits/numbers in the letter T using different grids. And then we have to record the results in a separate table as l am working with each grid.

Introduction

During this coursework l attend to solve the problem and show it to the examiner by investigation the formula of the t-total for example 9n-4 something like that. Then l intend to explore the connection between the t-total and t-numbers relationship l am also going to find the patterns between the t-number and the t-total will also evaluate the finding and the investigation.l will do the extension.

I will now show you how l will get the results and how that l predicted that it was going to come next as the t-total and how l finds the relation ship (formula) and what the pattern is.

Know l is going to on grid 9 x 9 grid. This how it looked like know I am going to show the results predications and 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 |

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 |

All the bottom numbers are the T-number.

Middle

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I used the same method again when the T-number is at the bottom of the letter T.

Size of grid | T-NUMBER | T-total |

8x8 | 16 | 31 |

8x8 | 17 | 36 |

8x8 | 18 | 41 |

8x8 | 19 | 46 |

RELATIONSHIP

5n-49

As l said before that l predicted that the T-total would go up in fives and that what it is.

For the pattern l used the same method as before. the pattern is 4 the same this time along so lam predicating that the pattern is always going up in 4.according to the results l have so far think that all of the relationships and the patterns are going to end up the same.

After that l did the last and final one which is the 7x7.

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 |

I used the same method and made no changes with what l have done.

Size of grid | T-NUMBER | T-total |

7x7 | 16 | 31 |

7x7 | 17 | 36 |

7x7 | 18 | 41 |

7x7 | 19 | 46 |

Relationship

5n-56

l also used the same method as all of the ones l did before. Yet again the T-total has only risen by 5.and the pattern is the same 4 as before. This proves that all my predications are all right all like l said before.

Investigation

I am going to further with my investigation by rotating T 90 degrees anticlockwise am going to do this and find out if the results,prediciting and the relationship are the same or right.

Findings

I have compared all my results and found another pattern, which is starting from the grid 10x10 to grid 7x7 or maybe under the T-total goes lower by three. But if you look at this other way the T-total goes three higher.

Evaluation

In these results l have found a lot of patterns and l have found the formulas of the relationship. Such as the grid 10x10 to the grid 7x7 or maybe under the T-total goes lower by three and the pattern is T-number T-total equals the pattern which for the 9x9 are 4.l will do more investigation by rotating the letter T 90 degrees anti-clockwise and do the same as before. To improve this l would either enlarge it or rotate it more.

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 |

Conclusion

I used the same method again and l succeeds and know l am pretty much sure that the method will work all the time and l will work with this method all the time.

+1 +5

Size of grid | T-NUMBER | T-total |

8x8 | 11 | 48 |

8x8 | 12 | 53 |

8x8 | 13 | 58 |

8x8 | 14 | 63 |

15

Relationship: 5n-7

I think that the pattern and the formulas are the same because the T-number and the T-total are going in the same sort of pattern this is why T-totals and the T-numbers formulas are the same.

I’m predicting that the formulas are going to be the same as they are already are.

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 |

I have usedthe same method as l haveused in the three before.

Size of grid | T-NUMBER | T-total |

7x7 | 11 | 43 |

7x7 | 12 | 48 |

7x7 | 13 | 53 |

7x7 | 14 | 58 |

Relationship: 5n-7

My prediction was right yet again l thought that all of the relationships would be the same and they are all the same. All the patterns the same and l was pleased with the results l have got and now l think my investigation is complete that l had to do.

This student written piece of work is one of many that can be found in our GCSE T-Total section.

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