• Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month
Page
  1. 1
    1
  2. 2
    2
  3. 3
    3
  4. 4
    4
  5. 5
    5
  6. 6
    6
  7. 7
    7
  8. 8
    8
  9. 9
    9
  10. 10
    10
  11. 11
    11
  12. 12
    12

Grids Investigation.

Extracts from this document...

Introduction

INTRODUCTION I was recently given an investigation for my maths coursework; it was an investigation on grids. Grids are a series of lines that cross each other vertically and horizontally to produce interior squares. In this specific investigation my task was to find the number of squares in a grid containing eleven lines in any order vertically and horizontally, we were able to overlap the squares within the grid, I then had to discover a formula which could tell me the number of one by one, two by two squares contained within the grid and so on. Once this has been achieved I would have to use my formula to find the number of squares within a grid that has a different amount of lines, to see if it works correctly. METHOD To begin with in this investigation I drew out the various grid combinations using eleven lines changing the vertical and horizontal each time, there were five combinations. ...read more.

Middle

PART TWO RESULTS. Part two of the investigation shows the number of squares that can be drawn from my chosen number of lines which is 12. Table for grids made with 12 lines. RESULTS FOR GRIDS WITH 10 LINES ON THE NEXT PAGE. RESULTS FOR 10 LINES. I will now be looking at the number of squares I can make from 10 lines. Table for grids made up of 10 lines. RESULTS FOR GRIDS WITH 9 LINES ON THE NEXT PAGE. RESULTS FOR 9 LINES Finally now I will in investigate the number of squares that go into grids made up of 9 lines. Each time a horizontal goes up two comes off the difference. DISCUSSION This is my discussion I will now take you through all of my findings. When investigating the grids I found that at a certain point you are unable to make any more grids, On an even numbered amount of lines this happens when the vertical and horizontal are the same, as you were able to see in my results. ...read more.

Conclusion

2. the next rule I will show you also works in the same way but takes slightly longer its [(V-1) + (H-1)] + [(V-2) + (H-2)] this will find out the amount of 3 x 3s in what ever length vertical & horizontal you want. 3. Another formula not as good is. 1 x 1 = (V x H) - 10 2 x 2 = (V x H) - 18 3 x 3 = (V x H) -24 4x 4 = (V x H) - 28 CONCLUSION In conclusion to this project about finding the different amounts of squares, which fit in to different size grids, there was no possible formula that I could find for the total amount. But I found the formulae shown in the discussion that help find how many squares in a grid. As for my prediction it worked as shown in the discussion. Q. Find how many 2 x 2s in a grid H = 3 V= 7 1 ...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 T-Total 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 T-Total essays

  1. T-Total Maths

    + 7 = 50+7 = 57 As expected, the equation has produced yet another correct answer. Another example is below, N= 11 T= (5x 11) + 7 = 55+7 = 63 Here is the last equation I will show from the 8 by 8 grid to show that the equation N=12 T= (5x12)

  2. T-Totals Investigation.

    gives you 5, which is the constant number added in the totals of the horizontal t-shapes. Throughout both grids, the horizontal T-shape totals have an addition of 5.

  1. T-Shape investigation.

    24 25 5n 110 115 120 125 -70 -70 -70 -70 z 40 45 50 60 5n - 70 So far we have 10 x 10 = 5n - 70 9 x 9 = 5n - 63 8 x 8 = 5n - 56 Here, we can see a pattern,

  2. T totals. In this investigation I aim to find out relationships between grid sizes ...

    + y were v is the Middle number is the amount to translate horizontally, a is the amount to translate vertically, g is the grid width, and y is to be substituted by the ending required by the type of rotation, these are : Rotation (degrees)

  1. T-total Investigation

    I added up all the numbers inside the T for each position which gave me the T-total. I put the T-no in one column and the T-total in the other. T-no T-total 20 37 position 1 1 5 21 42 position 2 1 5 22 47 position 3 I saw

  2. T-Total Maths coursework

    The formula also works for 8x8 grids. Now I am going to find out this formula works for 7x7 grids. 7x7 Grid size 90� N =10 5N = 5x10 = 50 G = 7 = 7x7 = 49 I now have enough data to prove that my formula works 5N

  1. Maths Coursework T-Totals

    I terms of T-Total (x); Any type of translation (vertical, horizontal or a combination) can be found by using the equation of t=(x-3g)-(a(5g))-5b were v is the middle number, g is the grid width, a is the number by which to translate vertically and b is the number by which to translate horizontally.

  2. Maths coursework

    is: T2 = 5N - 7G + 5x. Also here N is the t-number of the original t-shape. Now I will find the general formula for the vertical translation (0/y). I will firstly use G8 to find translations of (0/1), (0/2)

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