GCSE Maths Coursework Essay Example

GCSE Maths Coursework Essay Example GCSE Maths Coursework Essay GCSE Maths Coursework Essay I will then investigate the diagonal difference of a 44 grid, 33 grid and 22 grid the numbers for these grids will be taken from the 88 grid above.The way to investigate diagonal difference is shown in the example:Sarah writes down a 33 grid from the above table.101112181920262728She notices that when you multiply the opposite corners the difference between the products is 32For example:10 x 28 = 28012 x 26 = 312The diagonal difference is 312 280 = 32.What I think will happenI think that the diagonal difference will always be 32 with a 33 grid.I think that the diagonal difference for a 22 grid will be 8 each time.I am also going to investigate the diagonal difference of a grid sized 44; I think the difference will be 72 each time.I came to these conclusions by doing a series of preliminary investigations.Preliminary InvestigationsFor a 33 grid:123910111718191 x 19 = 193 x 17 = 5151 19 = 3246474854555662636446 x 64 = 294448 x 62 = 29762976 2944 = 32For a 44 grid:2627282934353637424 344455051525326 x 53 = 137829 x 50 = 14501450 1378 = 721234910111217181920252627281 x 28 = 284 x 25 = 100100 28 = 72For a 22 grid:4445525344 x 53 = 233245 x 52 = 23402340 2332 = 83334414233 x 42 = 138634 x 41 = 13941394 1386 = 8What I will Measure/ObserveI will measure the diagonal difference from a 44 grid, a 33 grid and a 22 grid. I will take these grids from a table of 88 numbers ranging from 1-64.I will find the diagonal difference by taking the four numbers from each corner multiply them by the number in the apposite corner and then I will take away the two numbers found as a result of multiplying the four opposite diagonals. This will then leave me with my diagonal difference.Examples of the type of measurements I will be gathering are found in my preliminary investigations.How I will Carry out any MeasurementsI will measure the times value of the corners of the 44 grid, 33 grid, and a 22 grid then I will minus the two answers given for each grid and find the diagonal diff erence.How many Times I will Repeat the MeasurementsI will produce four sets of results for each of the 44 grids, 33 grids and 22 grids.I will take the numbers for my smaller grids from the original 88 grid of numbers.I will gather the numbers for the smaller grids, as If I were to place the smaller grid sizes on to the 88 grid taking the right number range for the suitable grids.Taking this amount of readings provides me with broad range of results enabling me to have a more conclusive view of the investigation and it will also help me when concluding the investigation.What I will be Altering in order to make ComparisonsI am altering the sizes of my grids from 44 to 33 and then to a 22 grid size.I can then compare these grid sizes to the original grid size of 33.How I will carry out these AlterationsI will carry out these alterations by reducing the size of my grids which I will be taking the diagonal difference from.What Range of Values will be compared?I will collect four sets of results for all of the three grid sizes.I will then compare the diagonal difference values.I will then analyse these four sets of results by putting them into tables and formatting them in charts, this ill then enable me to make comparison between the diagonal differences of each grid size.What I will keep the same to make it a Fair TestI will keep the initial 88 grid the same; this is where I will gather my numbers from for the other smaller grid sizes.The 88 grid will range from 1-64 in numerical order I will always keep this the same.What Safety Precautions will need to be taken?I will not have to take any safety precautions for this investigation as no safety hazards will occur as a result of this investigation.What graphs and calculations do I intend to do?