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

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.

Extracts from this document...

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.

...read more.

Middle

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 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

...read more.

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.

...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. The T-Total Mathematics Coursework Task.

    added T-number Bottom of T-shape T-total All numbers in T-shape added 22 40 42 140 23 45 43 145 24 50 44 150 25 55 45 155 26 60 46 160 27 65 47 165 28 70 48 170 29 75 49 175 32 90 52 190 33 95 53

  2. T-Shapes Coursework

    17 153 354 507 18 162 360 522 19 171 366 537 20 180 372 552 30 270 432 702 e) Here are the results of the 5 calculations for a 11x7 "T" on Width 13 Grid: Middle Number Sum of Wing Sum of Tail Total Sum (Wing + Tail)

  1. T-Total Investigation

    5 (220 - 215) 47 215 t = (5 x 47) + ( 2 x 10 ) 5 (215 - 210) 46 210 t = (5 x 46) + ( 2 x 10 ) 5 (210 - 205) 45 205 t = (5 x 45)

  2. Maths Coursework:- T-Total

    will be part 1 * If you multiply x by 2 you get the middle term so part 2 will be (2x) * To get the final term you multiply y by 2 and then multiply that by g so that part three will be g( 2y )

  1. Maths Coursework T-Totals

    width of 5, from this I can see a link with the "magic" numbers, as for as grid width of 5 it is 25, which is 5 x 5, and for a grid width of 9 it is 45 which is 9 x 5.

  2. Urban Settlements have much greater accessibility than rural settlements. Is this so?

    South Darenth has a very different traffic layout. It has one road that weaves through the whole town, with roads leading off of it. I chose to do my traffic counts on the main road and on the feeder roads because that will give and accurate impression of how the system works in South Darenth.

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

    If we say g is the grid size (e.g. 4 for 4x4 or 5 for 5x5). 1 2 3 4 5 6 7 8 9 If we work the T-Total on this 3x3 grid the "old" way, we get 19 (8 + 5 + 1 + 2 +3), that proves a formula of: t = x + x -

  2. Maths GCSE Investigation - T Numbers

    16 17 18 19 20 21 22 23 24 25 T-total = 5X+7Z = 5*14+7*5 = 70+35 = 105 14+19+23+24+25=105 My formula works for the 5 by 5 grid, so I can confidently say that it is the correct formula for an upside-down t-shape.

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