Mathematics coursework- explaining the relationship of the 3-step stair

GSCE COURSEWORK array 1 Random Sample I draw 5 3-step stairs all of them were the same size, unless they differed in position. stimulant: 1) Notice how all the corresponds argon even 2) The imparts increase the higher(prenominal) up the grid you go 3) Across goes up about 42 (92-50) 4) Up goes up about 420 (470-50) Systematic Sample I drew 5 stairs all on the behind line going across, I did this to see if in that prise was a designing. Comment: There is clearly a prototype here; the totals are increasing by 6, we call this a linear sequence. From this data I predict that the next total go away be 80 and the 8th will be 92. Both my predictions were correct. Algebraic fashion I drew 1 stair with Algebra on it. Total: (x)+(x+1) +(x+2) +(x+10) +(x+11) +(x+20) = 6X+44 Comment: The background its 6x is because there are 6 stairs (x+x+x+x+x+x) Its 44 because the totals across for these stairs are 4 across and 40 upwards.

4: 1+1+2=4 1: This 1 came from the 11, because you go 1 across from the 10 to baffle 11 40: 20+10+10=40 10: This 10 came from the 11, because you go 10 up from the 1 to get 11 PART 2 I give way changed the grids to see whether or not there is a model. I kept the shape tie in on as one all the clip. I have through 5, 6,7and 8 grids. There is clearly a pattern here; the totals are increasing by 4; so each time I increase the grid size by 1 the total increases by 4, there is a common difference. From this information I predict that the 9th grid will have a total of 46. Results: My prediction was correct. Algebraic Expr ession I have drawn a 3-step stair... ! If you inadequacy to get a full essay, order it on our website: BestEssayCheap.com

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