• 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
  13. 13
    13
  14. 14
    14
  15. 15
    15
  16. 16
    16
  17. 17
    17
  18. 18
    18
  19. 19
    19
  20. 20
    20
  21. 21
    21
  22. 22
    22
  • Level: GCSE
  • Subject: Maths
  • Word count: 1006

Number Grid

Extracts from this document...

Introduction

Number Grid I have been given the following task: I will now carry out this investigation in four different parts. The 1st part includes 1 variable; which is the one given to me on the task sheet. I am going to investigate what the difference between the opposite products inside a square shaped box is. I will calculate the differences using the grid for 4 different sized square boxes and then put my results into a table. After doing this for all 4, I will look for a pattern with all my data and try to come up with a general formula which will give me my nth term. After getting my formula, I will predict an nth term using the formula and also calculate the differences using the grid and see whether my formula is correct. For the 2nd part of the investigation, I will be using 2 variables to extend the task further. ...read more.

Middle

Rectangles Multiple Grids Size, Shape and Multiple Conclusion In conclusion, I have found many formulas, either to do with the shape of the box inside the grid, the size of the main grid or the multiple of the main grid. While doing this investigation, I noticed a link between all of my formulas and therefore combined all of them together at the end to make one final formula containing 4 variables; the multiple of the grid, the size of the main grid, the length of the box inside the grid and the width of the box inside the grid. I noticed that there is a reason for every number in the formula to be there and investigated why that number was present and what would happen to that number if the circumstances changed. This means that I have done 3 extensions all together; ranging from 1 to 4 variables. ...read more.

Conclusion

Evaluation Overall, I think my investigation went well because I had extended all my tasks and had up to 4 variables. I completed the given task in as much detail as possible and referred my extensions back to the original given task. If I had more time to complete this assignment, I would have changed the shape of the "box" inside the grid and maybe even involve 3D shapes. I could have also investigated the difference of the products from the opposite numbers inside a rectangular main grid; instead of changing the shape and size of the box inside the grid. Additionally, I could have considered that if the numbers inside the grid included negative numbers, then there may be a change to the general formula. On the whole, I had no major problems within the course of my assignment, and felt than everything went smoothly. As I had extended my task to 4 variables, I believe that I had done everything I was asked to in the task and maybe more. ?? ?? ?? ?? Number Grid 1 Pooja Patel 11CCy ...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. What the 'L' - L shape investigation.

    By looking at all of the different grid sizes and their formulae. I can note that they all start with 5L; therefore, my final formula must consist of 5L. Grid Size Final Part Of The Formula Difference 4 by 4 -9 5 by 5 -12 6 by 6 -15 7

  2. Algebra Investigation - Grid Square and Cube Relationships

    = 7hw-7h-7w+7 When finding the general formula for any number (n) any height (h), and any width (w) both answers begin with the equation n2+nw+7hn-8n, which signifies that they can be manipulated easily. Because the second answer has +7hw-7h-7w+7 at the end, it demonstrates that no matter what number is

  1. Number Grid Investigation.

    I will now change the length of the rectangle to `D`, this can be shown algebraically.

  2. Number Grid Investigation.

    - (8 X 29) = 72. 33 34 35 36 41 42 43 44 49 50 51 52 57 58 59 60 (33 X 60) - (36 X 57) = 72. The product difference in a 4 X 4 square is clearly 72. All three examples show this.

  1. Maths Grid Investigation

    2944 43 x 57 = 2451 48 x 62 = 2976 2419 - 2451 = 32 2976 - 2944 = 32 Sarah's theory is justified, when any 3 x 3 grid consist with in a 8 x 8 grid , the difference between the products of the two opposite corners multiplied is 32.

  2. Maths - number grid

    9 640 10 x 64 10 x 8 10 x 10 810 10 x 81 10 x 9 My first part of my investigation is complete. The table on the previous page shows my results found throughout chapter one. From drawing this table up I was able to see a

  1. 100 Number Grid

    + 32 X + 33 X + 34 X + 40 X + 41 X + 42 X + 43 X + 44 Step 1. x (x + 44) Step 2. (x + 4)(x + 40) Step 3. (x2 + 44x + 160)

  2. number grid

    I will now investigate to check if all examples of 3x3 grid boxes demonstrate this trend in difference. I will conduct this research using another 2 of these boxes from the overall cardinal10x10 number grid. My predication also seems to be true in the cases of the previous 2 number boxes.

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