Maths coursework number grids

With an account, students can save their work and send it to their teacher when complete. Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate. Subject Area: Mathematics. Domain-Subdomain: The Number System. Cluster: Apply and extend previous understandings of numbers to the system of rational numbers.

Maths ROTW 19 - 100 Number Grids

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Number Grid Maths Coursework.

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You have to try and find the general rule for all squares and rectangles. Essay about Number Grids Investigation - Number Grids Investigation Introduction In the following piece of coursework, I intend to investigate taking a square of numbers from a 10 x 10 grid, multiplying the opposite corners and then finding the difference between the two products.

Coursework & Essays: Square & Rectangle Products of Opposite Corners

Number Grid Investigation Essay - Number Grid Investigation Aim: My aim is to find out how the number of rows and columns in a square, on a certain sized grid will affect the difference between the product of the top left number and the bottom right number in the square subtracted from the top right number and the bottom left number.

Number Grid Investigation Essay - Number Grid Investigation In numerical way I am going to multiply the top left number with right bottom number and the top right number with bottom left number and than I am going to find the difference between the products. Search Term:. I will take a 4x4 square on a square grid and multiply the two corners together.

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I will then look at the relationship between the two results, by finding the difference. Prediction: 5 x 5 I predict this because the difference of the differences go up by 20 each time e. Therefore it would make sense for 50 to go up to 70, add this onto the 90 which makes , which is my prediction for the 5 x 5 square. This leaves 1, 4, 9, and These are all square numbers.

I notice that the numbers are the square of the side of square minus 1 see table to the right. This would mean that b would make sense. I will encompass this with the x10 so it becomes: 10 b-1 2 Trying the equation out I am going to use the example of a 4 x 4 square; I already know that the difference is Working out the same equation through looking at general cases.

When n is the number in the top left hand corner and b is the length of the square. This is because you move down the width of the square, however the top left hand corner n takes up 1 row so you minus 1. I will then multiply the corners out, as I do on my investigation. This means I have proved beyond any doubt that the formula for finding the difference of the corners multiplied together in a square on a grid is 10 b-1 2.

arsuropiwers.tk Investigating rectangle boxes in a square I will take a 2x3 rectangle on a square grid and multiply the two corners together. I will take a 3x4 rectangle on a square grid and multiply the two corners together. I will take a 4x5 rectangle on a square grid and multiply the two corners together.


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Looking at the relationship between the differences of the corners multiplied together in different size rectangles - using a table to compare the findings Size of Rectangle Difference Difference of the Differences 2 x 3 20 40 3 x 4 60 60 4 x 5 80??? Prediction: 5 x 6 I predict this because the difference of the differences go up by 20 each time e.

Therefore it would make sense for 60 to go up to 80, add this onto the which makes , which is my prediction for the 5 x 6 rectangle. This makes sense, as the x10 is the factor that shows every time you go down a row you plus 10 every time.