# T Totals Maths Coursework

## Investigating the Relationship Between T-totals and T-numbers

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Investigating the Relationship Between T-totals and T-numbers In my maths coursework I will be focusing on T-Numbers. I will be investigating the relationship between T-totals and T-numbers. In my investigation I will also try and find out the relationships between the grid size and the transformations. The T-number is always the number at the bottom of the T shape and the T-total is always all the numbers inside the T shape added together. 1 2 3 10 11 12 19 20 21 [IMAGE] 9 By 9 Grid: 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 The total of the numbers inside the T-shape is 1+2+3+11+20=37 this is called the T-total. The number at the bottom of the T-shape is called the T-number. ## How to Cite this Page
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Investigating the Relationship Between the T-totals and the T-number Essay - Investigating the Relationship Between the T-totals and the T-number To show the relationship between T-totals and the T-numbers I will use a nine by nine grid to explain. There is a shape in the grid called the T-shape. This is shown below highlighted in the colour red. 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... [tags: Papers] | 2568 words (7.3 pages) | Strong Essays | [preview] | ||

T-Totals Investigation Essay - T-Totals Investigation Aim I am investigating the different relationships between the T-total and T-number of the T-shape by translating it to other positions on the grid. First I am going to use 9×9 grid then go on to smaller sizes like 8×8 7×7 6×6 5×5 to investigate whether the size of grid affects the T-total and T-number. This can be done by rotating it and then use vectors to find out if there is any relationship if it is translated. Mr. Zaman Contents Title Page and Aim Page 1 Contents Page 2 9×9 Grid Investigation Page 3 8×8 Grid Investigation Page 5 7×7 Grid Investigation Page 7 6×6 Grid Investigation Page 9 5×5 Grid Investiga... [tags: Papers] | 6491 words (18.5 pages) | Strong Essays | [preview] | ||

Essay on Relationship between Height and Weight - Relationship between Height and Weight I am using the data from Mayfield high school as I am unable to use data from Nabwood School. This is because although the school has a database system, information regarding height and weight of year 10 and 11 students will not be accurate as it was taken when students came to the school in year 7, which was three or four years ago (if they are now in years 10 and 11). Therefore to try and update the database with the latest height and weight of year 10 and 11 students would be difficult and time consuming, and I do not have very much time to complete the investigation.... [tags: Papers] | 1524 words (4.4 pages) | Strong Essays | [preview] | ||

Essay on T-Totals and T-Numbers - T-Totals and T-Numbers [IMAGE] This is a T-shape. It allows us to gather information into algebraic formulas to explain the relationships between numbers. [IMAGE]This is the T-Number. It is the central part of our research. If you add up all the numbers in the T, you will find the T-Total. For the T above, the T-Total will be 1 + 2 + 3 + 9 + 16 = 31. 2) Using algebra, we can work out a formula for this T. On a 9x9 grid a T would look like this: [IMAGE] From this we can see that if: T number = n 1 = a 2 = b 3 = c 11 = d 20 = n [IMAGE] a = n-19 From this we can see that the T-Total b = n-18 will equal: c = n-17 d = n-... [tags: Papers] | 1878 words (5.4 pages) | Strong Essays | [preview] | ||

T Totals Investigation Essay - T Totals Investigation Introduction We have been given the task to find the relationship between the 'T' â„– and the 'T' Total 9x9 grid. The 'T' â„– is the number at the bottom of the T shape and the 'T' Total is the sum of all the numbers inside the T. Example [IMAGE] 'T' Total = 1+2+3+11+20 = 37 To find the relationship between the 'T' â„– and the 'T' Total, algebra will be needed. Therefore the 'T' â„– will be represented by 'X' and the 'T' Total will be represented by 'T'.... [tags: Papers] | 4333 words (12.4 pages) | Strong Essays | [preview] | ||

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T-Totals Investigation Essay - T-Totals Investigation Introduction If you look at the 9x9 grid with the T-shape, you can see that the total of the numbers added together is 37 because it is1+2+3+11+21 which equals 37. This is what we call the T-total (37) And T-number is the number at the bottom of the T-shape which in this case is 20 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 My tasks The tasks I have been set are: 1) Investigate... [tags: Papers] | 2195 words (6.3 pages) | Strong Essays | [preview] | ||

T-Totals Investigation Essay - T-Totals Investigation For this coursework I have been given a task which is to investigate the relationship between the T-total and the T-number. To start my investigation I will do this by working on a 9*9 grid. From this 9*9 grid I will collect a number of T –Shapes with T –Numbers after collecting these I will put them into a table and will investigate to find any relationship between them. 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... [tags: Papers] | 3374 words (9.6 pages) | Strong Essays | [preview] | ||

Essay about T-Totals - T-Totals Introduction Looking at a grid of 9*9, with a t-shape you can see that the totals inside the T-shape.=37 E.g.1+2+3+11+21=37. This is called a T-total =37 And T-number is the number on the T-shape =20 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 Task ==== I have been set a task to: - 1) Investigate the relationship between the T-total and the T-number.... [tags: Papers] | 1656 words (4.7 pages) | Strong Essays | [preview] | ||

T-totals Essay examples - T-totals Introduction For my T-totals maths coursework I will investigate the relationship between the T-total and T-number, the T-total and T-number and grid size and the T-shape in different positions. 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 7... [tags: Papers] | 1209 words (3.5 pages) | Strong Essays | [preview] |

### Related Searches

T-totals Numbers Relationship T-number Shape Maths Grid Added Always

For

the t-shape in red the T-number for this T-shape is 20. When you take

the other numbers in the T-Shape away from the T-Number you get

something like this:

N-17

N-18

N-19

N-9

N

When you get the T-shape like this you can see that the centre numbers

always go up by 9's because of the table size, with the table set out

like this a formula can be worked out to find the formula to find any

T-Total on this size grid. This can be achieved by using this below:

T-Total =A

T-Number =N

T-total = N-19+N-18+N-17+N-9+N

So the formula for this grid is: 5N-63

The Testing Process for grid 9x9:

Testing the formula can be done using the variables A and N.

T-Total =A

T-Number =N

(I have used the number 5 in the formula to multiply N because there

are 5 grid boxes in one T shape on any grid)

(Example T-number = 20)

A = 5N-63

N = 20

A = 5x20

= 100-63 = 37

I will now test to see if this will work any were on the 9x9 grid.

N=43

A=5x43 24+25+26+34+43=152

24

25

26

34

43

A=215-63

A=152

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N=49

====

A=5x49 30+31+32+40+49=182

A=245-63

30

31

32

40

49

A=182

I have fully tested the formula for three different T-numbers and the

formula works any were correctly on a 9 by 9 grid.

The full formula for this size grid is: A=5N-63

6 By 6 Grid:

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

If you take the other numbers in the T-Shape away from the T-Number

you get a T-Shape like this.

T-Total =A

T-Number =N

N-13

N-12

N-11

N-6

N

When you get the T-shape like this you can see that the centre numbers

always go up by 6's because of the table size, with the table set out

like this a formula can be worked out to find the formula to find any

T-Total on this size grid. This can be achieved by using this below:

T-Total = N-13+N-12+N-11+N-6+N

= 5N-42

The Testing Process for grid 6x6:

Testing the formula can be done using the variables A and N.

T-Total =A

T-Number =N

(I have used the number 5 in the formula to multiply N because there

are 5 grid boxes in one T shape on any grid)

A = 5N-42

N = 14

A = 5x14

= 70-42 = 28

I will now test to see if this will work any were on the 6x6 grid.

N=22

A=5x22 9+10+11+16+22=68

9

10

11

16

22

A=110-42

A=68

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N=35

====

A=5x35 22+23+24+29+35=133

A=175-42

22

23

24

29

35

A=113

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N=32

====

A=5x32 19+20+21+26+32=118

A=160-42

19

20

21

26

32

A=118

I have fully tested the formula for three different T-numbers and the

formula works any were correctly on a 6 by 6 grid.

The full formula for this size grid is: A=5N-42

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