GSCE COURSEWORK
PART 1
Random Sample
I drew 5 3-step stairs all of them were the same size, but they differed in position.
Comment:
1) Notice how all the totals are even
2) The totals increase the higher 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 bottom line going across, I did this to see if there was a pattern.
Comment:
There is clearly a pattern here; the totals are increasing by 6, we call this a linear sequence.
From this information I predict that the next total will be 80 and the 8th will be 92.
Both my predictions were correct.
Algebraic Expression
I drew 1 stair with Algebra on it.
Total:
(x)+(x+1) +(x+2) +(x+10) +(x+11) +(x+20) = 6X+44
Comment:
The reason it's 6x is because there are 6 stairs (x+x+x+x+x+x)
It's 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 get 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 have changed the grids to see whether or not there is a pattern. I kept the shape name as one all the time. I have done 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 Expression
I have drawn a 3-step stair...