The T-number is 20.
- The T-total is: 4+5+6+14+23=52
The T-number is 23.
- The T-total is: 7+8+9+17+26=67
The T-number is 26.
- My prediction is correct.
I predicted that the T-total would go up by 15. Eg 52-37=15 etc
I also predicted that each T-number would go up by 3. Eg 20+3=23 etc
I am now going to translate the shape 1cm down.
- The T-total is: 1+2+3+11+20=37
The T-number is 20.
- The T-total is: 10+11+12+20+29=82
The T-number is 29.
- The T-total is: 19+20+21+29+38=127
The T-number is 38.
The relationship between each T-total is that they go up by 45 each time. Eg 37+45=82 etc
The relationship between each T-number is that they go up in 9’s. Eg 20+9=29 etc
I am now going to translate the shape 2cm down.
- The T-total is: 1+2+3+11+20=37
The T-number is 20.
- The T-total is: 19+20+21+29+38=127
The T-number is 38
- The T-total is: 37+38+39+47+56=217
The T-number is 56.
- The T-total is 55+56+57+65+74=307
The T-number is 74.
The relationship between each T-total is that they go up in 90’s. Eg 37+90=127 etc
The relationship between each T-number is that they go up by 18. Eg 38+18=56 etc
- I now predict that each T-total will go up by 180 and each T-number by 36 if I move the shape down 3cm.
The T-number is 20.
The T-number is 47.
The T-number is 74.
The prediction I made was incorrect. The T-total actually goes up by 135 and the T-number by 27 each time.
I am now going to change the size of the grid to an 8x8 table to see if I can spot any changes or similarities.
- The T-total is: 1+2+3+10+18=34
The T-number is 18
The T-number is 19.
The T-number is 20.
The relationship between each T-total is that they go up by 5 each time. Eg 34+5=39 etc
The relationship between each T-number is that they go up by 1 each time. Eg 18+1=19 etc
I am now again going to be translating the ‘T’ 2cm to the left.
- The T-total is: 1+2+3+10+18=34.
The T-number is 18.
The T-number is 20.
The T-number is 22.
The relationship between each T-total is that they go up in 10’s. Eg 44+10=54 etc
The relationship between each T-number is that they go up by 2 each time. Eg 187+2=20 etc
I am now going to make a prediction.
- I predict that by moving the ‘T’ by 3cm each time the T-total will go up by 15 and that the T-number will go up by 3.
The T-number is 18.
The T-number is 21.
Looking back at my results I can see that my prediction is correct.
The relationship between each T-total is that they go up in 15’s and each T-number goes up by 3 each time. Eg 34+15=49 and 18+3=21.
I am now going to continue by translating the ‘T’ 1cm down.
The T-number is 18.
The T-number is 26.
The T-number is 34.
The relationship between each T-total is that they go up by 40 each time. Eg 74+40=114 etc
The relationship between each T-number is that they go up by 8. Eg 26+8=34 etc
I am now moving on to move the ‘T’ shape 2cm down.
- T-total = 34 and T-number = 18.
- T-total = 114 and T-number = 34.
- T-total = 194 and T-number = 50.
The relationship between each T-total is that they go up by 80 each time. Eg 34+80=114 etc
The relationship between each T-number is that they go up by 16. Eg 34-16=18 etc
- I am now predicting that if I translate the shape 3cm down the T-totals will go up by 160 and the T-numbers will go up by 32.
- T-total = 34 and T-number = 18.
- T-total = 194 and T-number = 50.
- The prediction I made is correct.
I am now continuing by making the grid to a 10x10 grid to see if I can spot any changes.
- T-total = 40 and T-number = 22.
- T-total = 45 and T-number = 23.
- T-total = 50 and T-number = 24.
I have noticed that all 3 T-totals go up by 5 each time and that each T-number goes up by 1. Eg 40+5=45 and 22+1=23 etc
I am now translating the shape 2cm to the left.
- T-total = 40 and T-number = 22.
- T-total = 50 and T-number = 24.
- T-total = 55 and T-number = 26.
I am now beginning to see a big similarity by using a 10x10 grid. I have noticed that however many cm you move the ‘T’ to the left the T-total goes up by 5 and the T-number goes up by however many cm you move the shape.
I am now going to continue by moving the shape down by 1cm.
- T-total = 40 and T-number = 22.
- T-total = 90 and T-number = 32.
- T-total = 140 and T-number = 42.
The relationship between each T-number is that they go up by 50.
Eg 90-40=50 etc
The relationship between each T-number is that they go up in 10’s.
Eg 22+10=32 etc
I am now going to translate the shape 2cm down.
- T-total = 40 and T-number = 22.
- T-total = 140 and T-number = 42.
- T-total = 240 and T-number = 62.
I have noticed that each T-total goes up by 100. Eg 40+100=140 etc
I also have noticed that each T-number goes up by 20. Eg 22+20=42.
