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  • Level: GCSE
  • Subject: Maths
  • Word count: 1077

Maths GCSE Coursework: T-Total Investigation

Extracts from this document...

Introduction

Maths GCSE Coursework

T-Total investigating monitoring cover sheet

Introduction

In this investigation we have to find a relationship between the numbers in the T and the T-Total number.

We are using a nine by nine grid and we will move the T is a systematic way to see if wee is able to find a relationship between the numbers across the grid.

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The total of the numbers inside the T are:

1 + 2 + 3 + 11 + 20 = 37

The number at the bottom of the T is called the T number:

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To make sure you get a different T number each time, you need to move the T shape around the number grid.

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   T- Number                                        T – Totalimage06.png

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20                                                     37

21                                                     42

22                                                     47

23                                                     52

24                                                     57

25                                                     62

...read more.

Middle

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T-Number                              T-Total

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     18                                                        34image07.png

     19                                                        39

     20                                                       44

     21                                                        49

The pattern in these tables is plus one every time in the T – Number and for the T – Total it is plus five very time.

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N

The nth term = 5N – 56

To find the nth tern I looked at the T – Number value and times it by the gap which is 5 and then subtracted by the first T-number to get the gap which in this case was 56.

Prediction

I predict that when the t - number is 23 the T – total will be 59, and also in an equation the T –number will be 24 and the T-Total will be 64 this is shown in the table below.

22 x 5 – 56 = 54

23 x 5 – 56 = 59

24 x 5 – 56 = 64

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...read more.

Conclusion

Prediction

I predict that when the t - number is 18 the T – total will be 48, and also in an equation the T –number will be 19 and the T-Total will be 53 this is shown in the table below.

17 x 5 – 42 = 43

18 x 5 – 42 = 48

19 x 5 – 42 = 53

Formulas

3 x 3 = 19 + (5 x (r-8)

8 x 8 = 34 + (5 x (r–18)

9 x 9 = 37 + (5 x (r – 22)

10 x 10 = 40 + (5 x (r-22)

11 x 11 = 43 + (5x (r-24)

12 x 12 = 46 + (5 x (r-26)

These grids are to work out certain sizes; if you want to work out any size grin you can use the formula below.

(19 + 3 x (r – 3) + (5 x *t – 2 x (T + 1)

What I found out

In this investigation I have found out that this formula above will work out the sizes for any size grid.

 

...read more.

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