• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month
Page
1. 1
1
2. 2
2
3. 3
3

# t totals. To see whether there is any pattern in Ts on a 9x9 grid, the usage of individual Ts would be needed.

Extracts from this document...

Introduction

T-Total Coursework

Aim

The aim of this investigation was to determine how a T-number affects in a T-total, in different rotations and enlargements.

A standard T, for the intents of this investigation, is designed as such:                                   where each box

Middle

73

74

75

76

77

78

79

80

81

To see whether there is any pattern in ‘T’s’ on a 9x9 grid, the usage of individual T’s would be needed.

T-Number: 20

T-Total: 20+11+1+2+3=37

T-Number: 32

T-Total: 32+23+13+14+15=97

T-Number: 56

T-Total: 37+38+39+47+56=217

T-Number: 77

T-Total:58+59+60+68+77=322

T-Number: 62

T-Total:43+44+45+53+62=247

Each of these numbers end in a 2 or a 7, showing how a number ending in 5 is added to the T-total each time. To find this number, consecutive T’s must be used.

T-number=20    T-number=21   T-number=22   T-number=23  T-number=24

T-total= 37       T-total=42        T-total=47       T-total=52       T-total=57

As the T-number increases by 1, the T-total increases by 5 as each number inside it increases by one in the T. To determine an algebraic equation to relate the value of the T-number to the T-total, a value has to be assigned to the T-number, for the purposes of this investigation I will use N.

Conclusion

>

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 arrow is shows the consecutive T’s I will evaluate.

T=10     T=11     T=12      T=13      T=14      T=15

TT=57   TT=62    TT=67    TT=72    TT=77    TT=82

As the T number increases by 1, the T total increases by 5, as each number within the T increases by one.

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

## Found what you're looking for?

• Start learning 29% faster today
• 150,000+ documents available
• Just £6.99 a month

Not the one? Search for your essay title...
• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month

# Related GCSE T-Total essays

1. ## For my investigation, I will be investigating if there is a relationship between t-total ...

the equation would be 5N-7, for a 2 by 2 (again not possible to do) the equation would be 5N-14, for a 3 by 3 it would be 5N-21, and so forth up to huge numbers that would be very hard to work out using arithmetic - for example 231

2. ## For my investigation, I will be investigating if there is a relationship between t-total ...

+ (N+1) + (N-4) + (N+2) + (N+8) This can be simplified to: = 5N + 7 I then tested this formula on another shape in the 6 by 6 table, using the numbers 8, 9, 10, 4 and 16. 4 8 9 10 16 The calculated T-Total for this shape is 32, with the T-Number being 8.

1. ## T totals. In this investigation I aim to find out relationships between grid sizes ...

EXTEND THE PROJECT - EXPLORE what happens when you CHANGE THE PROBLEM in a SMALL WAY Rotations Static center of rotation To begin with, I shall try to find generalizations and rules for static rotations of T-Shapes, were the v [PP1](middle)

2. ## T totals - translations and rotations

The two remaining numbers in the T shape are N-18+1 and N-18-1. Thus the T total is: N+ (N-9) + (N-18) + (N-18+1) + (N-18-1) = 5N-63 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23

1. ## I will be using algebra to try and see if I can find a ...

Down T-Number T-Total 22 40 23 90 24 140 25 190 26 240 The T-Total goes up by 50 each time because as the 'T' is moved each number increases by 10. The formula for this grid is as follows: (n)

2. ## Maths Coursework T-Totals

number is the centre of rotation. Two other variables also need to be defined the amount to rotate by (i.e. 90, 180 or 270 degrees) and the direction I which to rotate (i.e. clockwise or anti-clockwise). To begin with, we shall start on out basic 9x9 grid, but cut the vertical height, as it will not be needed.

1. ## have been asked to find out how many squares would be needed to make ...

Pattern Total squares Dark squares White squares 1 5 1 4 2 13 5 8 3 25 13 12 4 41 25 16 5 61 41 20 6 85 61 24 7 113 85 28 8 145 113 32 9 181 145 36 There are only three important columns in this table those are the first three.

2. ## This is an investigation to find a relationship between the T-totals and the T-number. ...

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

• Over 160,000 pieces
of student written work
• Annotated by
experienced teachers
• Ideas and feedback to