T-Total and T-Number - page 6
Keywords: T-Total and T-Number
By Grant867 on 07/12/2008
Level: GCSE Key Stage 4 (Years 10-11)
Page Number: 6 of 6 pages: 1 2 3 4 5 6
with different sizes of grids. The way we have made the calculations less difficult is by creating a main formula that changes for all the different circumstances.
Here I have put all the formulas I have come up with. These formulas only apply to the nine by nine grids
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
5tn-63= t-total D
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
5tn+63 = t-total U
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
5tn-7= t-total R
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
5tn+7= t-total L
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
5tn-70= t-total DR
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
5tn+70 = t-total UL
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
5tn-56= t-total DL
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
5tn+56 = t-total UR
The different size of grid changes means the formula has to change slightly.
This is what happened.
T-shapes number to x by 7
D & U Grid size
L & R nothing
DL & UR Grid size -1
DR & UL Grid size +1
We also have formula for rotation, which are
angle formula
45 degrees 5tn-(7xG)+7= t-total
90 degrees 5tn-(7xG)+70= t-total
135 degrees 5tn-(7xG)+133= t-total
180 degrees 5tn-(7xG)+126 = t-total
225 degrees 5tn-(7xG)+119= t-total
270 degrees 5tn-(7xG)+56 = t-total
315 degrees 5tn-(7xG)-7= t-total
We have a formula for reflection which is 5tn+(12*gridsize)= t-total.
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