Part of The Student Room Group

  • 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

or


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)

    My 4 x 3 has 2 sides measuring 4 tiles and 2 sides measuring 3 tiles. I am going to use the symbol H for height and W for width; T = 4 + 3 + 4 + 3 T = (W - 1)

  2. GCSE Maths Sequences Coursework

    Total Squares 3n�+3n+1 I will now do a check to see if my formulae are correct.

  1. Number stairs

    general formula is correct I am going to test it on two other 5-step grids. I have chosen grid sizes 23 and 33 Number Grids. From the processes I have gone through, I have devised an algebraic formula which when I tested, in each case gave me positive results for every 5-step stair in any grid size.

  2. algebra coursework

    +1 2Z = 20 Ex 8 2 X 4 rectangle on 10 X 10 grid 25 26 27 28 35 36 37 38 25 X 28 = 950 28 X 35 = 980 980 - 950 = 30 Z Z+3 Z+10 Z+13 Z (Z+13) = Z� + 13Z (Z+3) (Z+10)

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

    We continue to proceed with the exercise to complete our formula (The General Formula). In the algebra equation we need to include the value of the grid size, i.e. is it a 4x4 [4] or 16x16 [16] represented as algebra to give us the total of the numbers added together.

  2. Number Stairs

    15 8 9 1 2 3 Stair number=1 Whereas stair total= 1+2+3+8+9+15= 38 Here we can see that stair number=2 Therefore, stair total= 2+3+4+9+10+16=44 Here we can see that stair number=3 Therefore, stair total= 3+4+5+10+11+17= 50 Stair number (n) = 4 Therefore, stair total= 4+5+6+11+12+18 = 56 The following table shows the stair total (T)

  1. Number Stairs

    2tep This means that if I find the formula for the number of cells inside the triangle shape, the first part of a general formula for all stair sizes will be found. And referring to my previous math lessons I know the formula for the triangle number is.

  2. Maths coursework. For my extension piece I decided to investigate stairs that ascend along ...

    + 44 the formula) = 330 + 44 = 374 Stair-total = 55 + 56 + 57 + 65 + (found by 66 + 75 adding) = 374 ? This shows that my formula must work for all stair-numbers in 3-stair shapes on the 10 x 10 grid.

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