• Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month

For this coursework - stair shape - I am going to investigate the relationship between the stair total and the position of the stair shape on the grid. To do this I am going to create tables, charts, graphs, algebra equations and try to find the n'th ter

Extracts from this document...

Introduction

Orlando Monilal 2B

GCSE Maths Coursework.

‘Stair shape’

Introduction

For this coursework ‘stair shape’ I am going to investigate the relationship between the stair total and the position of the stair shape on the grid. To do this I am going to create tables, charts, graphs, algebra equations and try to find the n’th term.

I am also going to investigate the relationship between the stair totals and other step stairs on the other number grids.

Plan

I plan to draw different stair shapes on a grid, and then show my finding in a table format.

...read more.

Middle

44

33

34

35

242

6

34+35+36+44+45+54

248

54

44

45

34

35

36

6

35+36+37+45+46+55

254

55

45

46

35

36

37

This also goes up in 6’s

Now that I have found a common different I will try and find a formula.

Formula

First of all I am going to add up all the stair shapes together replacing the number with a letter. The letter I am going to use is the letter N.

N+20

N+10

N+11

N

N+1

N+2

No that I have created this I will try and create a formula for the 10, by 10 grid.

If the bottom left hand number of the stair shape is the N’s term then this formula will work.

6N+44 = 6 *? +44

...read more.

Conclusion

>

76

77

78

79

80

61

62

63

64

65

66

67

68

69

70

51

52

53

54

55

56

57

58

59

60

41

42

43

44

45

46

47

48

49

50

31

32

33

34

35

36

37

38

39

40

21

22

23

24

25

26

27

28

29

30

11

12

13

14

15

16

17

18

19

20

1

2

3

4

5

6

7

8

9

10

My prediction works.

Rule

The rule of the 10, by 10 grid is that the stair shape formula only works on a 10, by 10 grip, if the N’ term is changed the formula will not work i.e. the N’ term is any other number apart from the bottom left hand side of the shape. The other rule is that the last number that the N’ term can be is 78.

...read more.

This student written piece of work is one of many that can be found in our GCSE Number Stairs, Grids and Sequences section.

Found what you're looking for?

  • Start learning 29% faster today
  • 150,000+ documents available
  • Just £6.99 a month

Not the one? Search for your essay title...
  • Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month

See related essaysSee related essays

Related GCSE Number Stairs, Grids and Sequences essays

  1. Marked by a teacher

    Mathematics Coursework: problem solving tasks

    3 star(s)

    Formulas found for each type of spacer No. of rows + 1 tile +2 tiles +3 tiles +4 tiles +5 Tiles +6 tiles Complete Column 1 T 0 2 4 6 8 10 = 2n - 2 1 L 4 4 4 4 4 4 = 4 1 + 0 0 0 0 0 0 = 0 1

  2. GCSE Maths Sequences Coursework

    First I will find my three equations: N=1 4/3(1)?+b(1)�+c(1)+d=7 x3 to remove the fractions 4+3b+3c+3d=21 N=2 4/3(2)?+b(2)�+c(2)+d=25 x3 to remove the fractions 32+12b+6c+3d=75 N=3 4/3(3)?+b(3)�+c(3)+d=63 x3 to remove the fractions 108+27b+9c+3d=189 Now that I have found my 3 equations I will use them to find b, c, and d using

  1. Number Grid Coursework

    (2 + 8)(2 + 80) - 2(2 + 80 + 8) 10 x 82 - 2 x 90 820 - 180 640 (N.B. also = 10 x 64 = 10[p - 1]2) 7) Justification The formula can be proven to work with the following algebra (where d = [p - 1]): Difference = (a + d)(a + 10d)

  2. Number Grids Investigation Coursework

    (n - p) (w = 10) (m = 2) (n = 2) (p = 2) = 10 (2 - 2) (2 - 2) = 10 x 0 x 0 = 0 Obviously this formula is incorrect, but I think I am close. In the above example the true difference between the products of opposite corners was

  1. What the 'L' - L shape investigation.

    3g - 3 Answer Last Part Of The Formula (3 x 4) - 3 9 9 (3 x 5) - 3 12 12 (3 x 6) - 3 15 15 (3 x 7) - 3 18 18 (3 x 8)

  2. algebra coursework

    56 62 63 64 65 66 72 73 74 75 76 32 X 76 = 2432 36 X 72 = 2592 2592 - 2432 = 160 Z Z+4 Z+40 Z+44 Z = top left number = 32 (in this case) Z+4 = 32 + 4 = 36 (top right number)

  1. Number Stairs

    case from the 10x10 grid can be substituted in to the formula staircase for the 10x10 grid. We can also evaluate that Stair number (n) = 17 By substitution stair total= 17+17+1+17+2+17+3+17+10+17+11+17+12+17+20+17+21+17+30= 280 Now that I have accomplished my investigation on the 10x10 grid with 4 step stair case, I

  2. Maths Grids Totals

    First, I am going to predict a 12 x 12 square on a 14 x 14 grid. The formula, with the numbers in place, is 14(12-1)2 = 14 X 112 = 14 X 121 = 1694. I chose the following square: 29 30 31 32 33 34 35 36 37

  • Over 160,000 pieces
    of student written work
  • Annotated by
    experienced teachers
  • Ideas and feedback to
    improve your own work