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

# Number stairs

Extracts from this document...

Introduction

Maths coursework

Number stairs

The number stairs coursework involves using a 10x10 numbered grid up to 100 using this grid, i will draw on step shapes the step shapes that will be created overlap the numbers in the grid. The overlapped numbers will be added up to

Middle

1st objective –       collect data

form patterns

convert to algebra                   for a 10

Conclusion

formula must use algebra and be able to produce the answer of total sum without the use of the diagram apart from the number of stairs and the number of the bottom the bottom left square. This number will be called n in the formula.

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

# Related GCSE Number Stairs, Grids and Sequences essays

1. ## Number stairs

3, 16, 17 and 31 these are the 3-step stair I am going to test my formula for this portion of a 3-step stair: T=6x + 4n + 4 T= (6 x 1) + (4 x 15) + 4 T= 66+6 T=70 The total for all the stair values added

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

For any 5-step numbered grid box as illustrated, 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.

1. ## number stairs

37 38 39 40 41 42 43 44 45 28 29 30 31 32 33 34 35 36 19 20 21 22 23 24 25 26 27 10 11 12 13 14 15 16 17 18 1 2 3 4 5 6 7 8 9 The sum of all the

2. ## algebra coursework

= Z� + 11XZ - 11Z Z + 10(X-1) = Z + 10X - 10 (bottom left number) (Z + X-1) (Z + 10X - 10) = Z� + 10XZ - 10Z + XZ + 10X� - 10X - Z - 10X +10 = Z� + 11XZ - 11Z + 10X� - 20X + 10 (Z� + 11XZ - 11Z + 10X� - 20X + 10)

1. ## Number Stairs

For example, 9x9, 8x8, 6x6, etc. Here are a 9x9 grids showing the stair total and stair number: 73 74 75 76 77 78 79 80 81 64 65 66 67 68 69 70 71 72 55 56 57 58 59 60 61 62 63 46 47 48 49 50

2. ## Mathematics - Number Stairs

52 58 64 70 Suspected formula: T = 6n + 40 Prediction / Test: 6 x 20 + 40 = 160 38 29 30 20 21 22 20 + 21 + 22 + 29 + 30 + 38 = 160 Algebraic Proof: n+18 n+9 n+10 n n+1 n+2 n + (n+1)

1. ## Mathematical Coursework: 3-step stairs

going on the 2 et cetera. I choose this method, as I believed it would allow me to find the pattern. To prove my assumption I would now make a Table of Results which will state my findings. Term 1 2 3 4 5 total 50 56 62 68 74 The Pattern = 6 As I

2. ## Staircase Coursework

Which gives me : n+(n+1)+(n+2)+(n+6)+(n+7)+(n+12) I will now again simplify the long formula by adding up all the n`s and 1`s which gives me the end formula: St = 6n + 28 I will now test the formula to prove that it is correct: So I will simply add up all the normal numbers from another step.

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