We found that the best way to organise our information was to draw a table.
Here is the table we drew:
Square X coordinate Y coordinate
1 2 2
2 5 3
3 8 4
4 11 5
5 14 6
Using the table, we found out that the X coordinate was going up 3 every time. We added a couple of extra examples in the table. We spotted that the y coordinate was the number of the square add 1. Then we tried spotting patterns by working with the y axis to find the x axis. We found that the y axis times by 3, then minus 4 equalled the x coordinate. S, for 20, we worked out that the coordinates were (59,21). We thought would it work for any square. We checked with lots of differnt numbers and it worked for every single one of them. We used N to represent any square in the sequence.
N = any number of square
Y = Y axis
X = X axis
Solution
Y = N + 1
X = 3Y - 4