INTRODUCTION
I was recently given an investigation for my maths coursework; it was an investigation on grids. Grids are a series of lines that cross each other vertically and horizontally to produce interior squares. In this specific investigation my task was to find the number of squares in a grid containing eleven lines in any order vertically and horizontally, we were able to overlap the squares within the grid, I then had to discover a formula which could tell me the number of one by one, two by two squares contained within the grid and so on.
Once this has been achieved I would have to use my formula to find the number of squares within a grid that has a different amount of lines, to see if it works correctly.
METHOD
To begin with in this investigation I drew out the various grid combinations using eleven lines changing the vertical and horizontal each time, there were five combinations. I then tried to find out the number of squares that fitted into that particular grid combination e.g. one by ones, two by twos and so forth. Once I had obtained all the possible results I laid them out in a table, which made it easier to view the results and see any connection that may lead me to a formula.
I was recently given an investigation for my maths coursework; it was an investigation on grids. Grids are a series of lines that cross each other vertically and horizontally to produce interior squares. In this specific investigation my task was to find the number of squares in a grid containing eleven lines in any order vertically and horizontally, we were able to overlap the squares within the grid, I then had to discover a formula which could tell me the number of one by one, two by two squares contained within the grid and so on.
Once this has been achieved I would have to use my formula to find the number of squares within a grid that has a different amount of lines, to see if it works correctly.
METHOD
To begin with in this investigation I drew out the various grid combinations using eleven lines changing the vertical and horizontal each time, there were five combinations. I then tried to find out the number of squares that fitted into that particular grid combination e.g. one by ones, two by twos and so forth. Once I had obtained all the possible results I laid them out in a table, which made it easier to view the results and see any connection that may lead me to a formula.