• 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
  4. 4
    4
  5. 5
    5
  6. 6
    6
  7. 7
    7
  8. 8
    8
  9. 9
    9
  10. 10
    10
  11. 11
    11
  12. 12
    12
  • Level: GCSE
  • Subject: Maths
  • Word count: 1104

T totals. By drawing 4of these t-shapes I have noticed that the T-total increases by 5. When I moved my T-shape 1 place to the right, my T-number increased by 1.

Extracts from this document...

Introduction

T-Totals

        T=3+4+5+13+22=47

        T-Total=47

        T-number=22

        T=4+5+6+14+23=52

        T-Total=52

        T-number=23

        T=5+6+7+15+24=57

        T-Total=57

        T-number=22

        T=6+7+8+16+25=62

        T-Total=62

        T-number=25

Comment

By drawing 4of these t-shapes I have noticed that the T-total increases by 5. When I moved my T-shape 1 place to the right, my T-number increased by 1.

Comment

T=m+ (m-9) +(m-18)+ (m-17) + (m-19)             Comment

  =5m-63        

CheckT=Total

47=5(22)-63                   m=T-number

47=110-63

47=47

8 by 8 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

I am now going to do the same method but by using an 8 by 8 grid.

        T=17+18+19+26+34=114

        T-Total=114

        T-number=34

        T=18+19+20+27+35=119

        T-Total=119

        T-number=35

        T=19+20+21+28+36+124

        T-Total=124

        T-number=36

        T=6+7+8+16+25=62

        T-Total=62

        T-number=37

Comment

By drawing 4of these t-shapes I have noticed that the T-total still increases by 5.

...read more.

Middle

Comment

  T=m+ (m-7) + (m-14) + (m-15) + (m-13)             Comment

  =5m-49        

CheckT=Total

                   m=T-number

9 by 9

T=5m-63

8 by 8

T=5m-56

7 by 7

 T=5m-49

I have noticed that all multiples of 7. The numbers on top of the T-number increase by 1.

Grid Size

Comment

Check

9 by 9

Comment

        T=Total

        T-number=21

        T=5(21)-7(9)

           105-63

Comment

I am now going to do the same method but I will put the T-shape in different positions.

9 by 9

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

        T=3+12+21+11+10=54

        T-Total=57

        T-number=10

        T=4+13+22+12+11=62

        T-Total=62

        T-number=11

        T=5+14+23+13+12=67

        T-Total=67

        T-number=12

        T=6+15+24+14+13=72

        T-Total=72

        T-number=13

Comment

By drawing 4of these shapes I have noticed that the T-total increases by 5.

...read more.

Conclusion

                         T-number=32

Comment

By drawing 4 of these shapes I have noticed that the T-total increases by 5. When I moved my shape 1 place to the right, my T-number increased by 1.

Comment

T=m+ (m+9) +(m+18)+ (m+17) + (m+19)             Comment

=5m+63        

CheckT=Total

47=5(22)-63                   m=T-number

47=110-63

47=47

I am now going to do the same method but put it in another position again.

9 by 9

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

                         T=3+12+13+14+21=63

                         T-Total=63

                         T-number=14

                         T=4+13+14+15+22=68

                         T-Total=

                         T-number=15

                         T=5+14+15+16+23=73

                         T-Total=73

                         T-number=16

                         T=6+15+16+17+24=78

                         T-Total=78

                         T-number=17

Comment

By drawing 4 of these shapes I have noticed that the T-total increases by 5. When I moved my shape 1 place to the right, my T-number increased by 1.

Comment        

T=m+ (m+1) +(m+2)+ (m-7) + (m+11)             Comment

 =1+2=3

=3+11=14

=14-7=7

=5m+7        

CheckT=Total

47=5(22)-63                   m=T-number

47=110-63

47=47

...read more.

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

See related essaysSee related essays

Related GCSE T-Total essays

  1. t totals gcse grade A

    up an turning it 180' clockwise The formula I will use is 5n-7+5x-5gy the 5n-7 is from the 270� rotation and the 5x is the horizontal movement and the 5gy is vertical movement.

  2. Objectives Investigate the relationship between ...

    I will now show ALL the formulas that can be used in a 10x10 grid to calculate the T-total: Formula(8x8) what does it solve 5n-70 Works out the T-total of any T-shape translated horizontally or vertically, (left/right/up/down) 5n+7 Works out the T-total of any T-shape rotated in a 90� angle

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

    37 38 39 40 41 42 43 44 45 On this grid, v = 23, g = 5, a = 3 and b = 1 The T-Total of the original shape is 105 and of the translated shape is 55, using the formula we get, t= 5((23+1)-(3x5))

  2. T totals - translations and rotations

    + (N-16) + (N-16-1) + (N-16+1) = 5N-52 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

  1. Maths Coursework T-Totals

    + ( 2 x 5 ) 25 (55 - 30) 8 30 t = (5 x 8) + ( 2 x 5 ) N/a MAKE A TABLE and LOOK FOR PATTERNS - TRY TO FIND A RULE From this we can see that 25 is the "magic" number for vertical translations by +1 on a grid

  2. Maths GCSE Coursework – T-Total

    grid size times 7 (as they are all multiples of 7), as that gives the "magic number", and therefore we can state: Any T-Total of a T-Shape can be found if you have the 2 variables of a T-Number and a grid size for T shapes that extends upwards, using the formula t = 5x - 7g.

  1. T Total and T Number Coursework

    This is equal to 5n-7g. To get this I added all the negative 'g's' and that gave me a total of -7. This is how I got to my seven in the formula, this proves that there must be a seven in the formula for it to work correctly.

  2. T- total T -number coursework

    This has to be done to the other 4 numbers in the t-shape. Here is an example: - 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

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