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

Maths number stairs coursework.

Extracts from this document...

Introduction

Maths number stairs coursework 91 92 93 94 95 96 97 98 99 100 81 82 83 84 85 86 87 88 89 90 71 72 73 74 75 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 ...read more.

Middle

The shape that I will be investigating is a simple stair shape. I will fist place this shape at random points on the grid and add up the totals of the numbers in the square. The position of the shape on the grid will be known by the number in the square at the top of the number stair. For example S45. Now I will work out the totals of the numbers in the number stair from random positions in the grid. ...read more.

Conclusion

So if I take S91we know that S91= 91 X 81 82 X+10 X+11 71 72 73 X+20 X+21 X+22 I will add up the X's and the numbers and this should form an equation that I can test out. 6x-76 If this equation is correct, when I put in a familiar stair total suck as S91, which we all know is 470, and then the two answers will be the same. 6x91-76=470 Now I have found an equation that can be used to find the stair total just by using the stair number. ...read more.

The above preview is unformatted text

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)

    Total 4 6 8 10 12 14 = 2n + 2 2 T 2 4 6 8 10 12 = 2n 2 L 4 4 4 4 4 4 = 4 2 + 0 1 2 3 4 5 = n - 1 2 Total 6 9 12 15 18

  2. Number stairs

    + (x+n+2) + (x+n+3) + (x+1) + (x+2) + (x+3) + (x+4) I can simplify this down to: T= 15x + 20 (n+1) T= The total value of the 5-step stairs X= The bottom left hand corner stair number so in this case X=41 X= is the number of the squares in the 5-step stair To prove my

  1. GCSE Maths Sequences Coursework

    1) 12+2b+c=7 2) 27+3b+c=19 2-1 is 15+b=12 b=-3 To find c: 12-6+c=7 c=1 Nth term for Unshaded = 3n�-3n+1 Total Total is equal to Shaded plus Unshaded so; 6N + 3n�-3n+1 3n�+3n+1 Nth term for Total = 3n�+3n+1 Predictions The formulae I have found are: Perimeter 12N+6 Shaded Squares 6N Unshaded Squares 3n�-3n+1

  2. algebra coursework

    12+ (2-1) = 13 Z + 10(X-1) = 22 (bottom left number) 12 +10(2-1) = 22 Z+11(X-1) = 23 (bottom right number) 12+11(2-1) = 23 Z + 11 (X-1) = Z + 11X - 11 (bottom right number) Z (Z +11X -11) = Z� + 11XZ - 11Z Z + 10(X-1)

  1. For other 3-step stairs, investigate the relationship between the stair total and the position ...

    For any 4-step numbered grid box as shown below, using the bottom left grid box's value as x and the algebra theory used to calculate the equation the value of the box can be found. This theory has been put to the test using a 10x10, 11x11 and 12x12 grid boxes.

  2. Number Stairs

    This is for the 8x8 grid with the stair number 1. Stair number= 2 Whereas the stair total= 2+3+4+10+11+18 = 48 = T Stair number=3 Whereas the stair total= 3+4+5+11+12+19= 54 = T The following table shows the stair total (T)

  1. Mathematics - Number Stairs

    21 + 31 = 72 Algebraic Proof: n+11 n n+1 n + (n+1) + (n+11) = 3n + 12 8 9 10 11 12 1 2 T = 3n + 9 T = 3n + 10 T = 3n + 11 T = 3n + 12 3 T = 6n

  2. Mathematical Coursework: 3-step stairs

    As I would have to follow the grid side ways from term 1 towards e.g. term 20. Thus making it's time consuming. After analysing the grids, the table of results and my prediction I have summed up an algebraic equation which would allow me to find out the total of any 3-step stair shape in a matter of minutes.

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