Maths Coursework Number Grid Essays

Maths Coursework Number Grid Essays Maths Coursework Number Grid Essay Maths Coursework Number Grid Essay I will start my investigation by looking at 2 by 2 squares. I will draw a square around 4 numbers, find the product of the bottom left and top right numbers and the product of the top left and bottom right numbers, then calculate the difference between the 2 products. I will see if there are any patterns and if so I will try to work it out algebraically.I will then look at changing the size of the squares to see if there are any patterns. I will try looking at 3 by 3 squares, 4 by 4 squares and 5 by 5 squares; I will do the same with these squares as I have with the 2 by 2 squares, I will find the products of the top left and bottom right and the bottom left and top right numbers then calculate the difference between them.Once I have fully investigated the patterns within the squares and found an algebraic formula for the patterns I will look at rectangles. I will start by looking at a 3 by 2 rectangle and looking for patterns there; if I find a pattern I will try to work out a formula for this pattern. I will then try changing the size of the rectangles and looking for patterns there. I will look at 2 by 4 rectangles, 5 by 3 rectangles and 4 by 5 rectangles.I will also look at changing the size of the number grids to see if this has an affect on the patterns. I will look at a 9 by 9 grid, an 11 by 11 grid and a 5 by 5 grid. I will be looking for patterns in 2 by 2 squares within the different size grids and trying to find an algebraic formula to explain my findings.First of all I am looking at 2 by 2 squares within a 10 by 10 grid. The squares I am looking at are highlighted in the grid below. I chose these squares randomly; there is no particular reason why I chose them.he different size grids and trying to find an algebraic formula to ex