investigate how the T number moves across And down effects the T total.

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To investigate how the T number moves across

And down effects the T total.

8 by 10 grids

2

3

4

5

6

7

8

9

0

1

2

3

4

5

6

7

8

9

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

I have colored numbers inside the grid so it looks like a letter T.

I have also done this on a 9 by 10 grid and a 10 by 10 grid.

To investigate how the T number moves across

And down effects the T total.

In this investigation I had to find out how the T number moves across and down, effects the T total. I used grid sizes of 8 by 10, 9 by 10 and 10 by 10.

The T number is the number at the bottom of the T.

18 = the T number

The T total is all the numbers inside the T added together.

1 + 2 + 3 + 10 + 18 = 34

34 = the T total

I drew 3 grids to show how the T moves across and down on them.

Here are my results.

8 by 10 grid going down and across.

T - Number

T - Total

8

34

21

49

42

54

45

69

66

247

69

289

I found out that going across the grid once, and adding 5 to the last t-total gives you the next t-total.

Then I found out that going down the grid once, and adding 40 to the last t-total gives you the next t-total.
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If you multiply the difference going across by the gridsize you get the difference going down.

5 * 8 = 40

9 by 10 grid going down and across.

T - Number

T - Total

20

37

23

52

26

67

47

72

50

87

53

262

74

307

77

322

80

337

I found out that going across the grid once and adding 5 to the next t-total gives you the next t-total.
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