Number stairs

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Maths coursework

Number stairs

The number stairs coursework involves using a 10x10 numbered grid up to 100 using this grid, i will draw on step shapes the step shapes that will be created overlap the numbers in the grid. The overlapped numbers will be added up to create a total figure this is the number i am trying to work towards. The formula created will have to be formed to calculate the total from using the bottom left hand number on the stair shape. Algebra will be a major part of this coursework as it is needed to create the formula. The algebra can be used to replace the numbers in the formula. The final formula i predict will require the numbers of steps and the bottom left number.

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1st objective –       collect data

                form patterns

                convert to algebra                   for a 10x10 grid

                convert to formula

                test formula

2nd objective-        vary size of step stairs and modify formula accordingly

3rd objective-        vary size of grid try an increase to 10x15 and test formula

formula must use algebra and be able to produce the answer of total sum without the use of the diagram apart from the number of stairs and the number of the bottom the bottom left square. This number will be called n in the formula.

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