Investigating the Relationship Between the T-Total and the T-Number
CODE - tn = T-Number. tt = T-Total
Aim: I) Investigate the relationship between the T-Total and the
T-Number
II) Investigate the relationship between the T-Total, the T-Numbers
and the grid size, using translation
III) Investigate the relationship between the T-Total, the T-Numbers,
the grid size and the transformations.
Part I
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We were working with a 9x9 grid, and we had to construct a t-shape
like this
1
2
3
4
5
6
7
8
[IMAGE][IMAGE][IMAGE]9
10
11
12
13
14
15
16
17
[IMAGE]18
19
20
21
22
23
24
25
26
[IMAGE]27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
And so on…
To make the T-TOTAL, we had to add all the numbers inside the T
together, and the T-NUMBER was the number at the bottom of the T (as
highlighted inside the T).
To start with I added all the numbers together inside the T, and for
20 the T-Total was 37 - (1+2+3+11+20 = 37). I then did 21,22, 23 and
so on up to 26. My results were as follows:
20 = 37
21 = 42
22 = 47
23 = 52
24 = 57
25 = 62
Just from these results I can see that the T-Total rises by 5 every
time the T-Number rises by 1. This means that there is a 1:5 ratio in
terms of the T-Total and T-Number.
After this I had to work out a formula showing the relationship
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