• 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

Maths Dots Investigation

Extracts from this document...

Introduction

Jonathan Parsonage

11A1

Maths Coursework

Mrs.

Johnson

Introduction

The task that I am set is to find a formula connecting the area of a shape to the number of dots that lie inside the shape. I am going to do a number  of mini investigations to help me find a suitable formula. I must use as many investigations as I need to discover a formula and will show all the necessary investigations I need. First of all I will start off with the shapes with no dots inside and try to find

...read more.

Middle

Rule-no. Of dots joined

                           2

Prediction-I predict that when 20 dots are joined the area will be 10cmimage00.png.

My prediction was correct.

Formula- D= No. Of dots joined          A=D

                 A= Area                                     2

Jonathan parsonage

investigation three. Two dots inside shape.

 Number of dots joined          Area(cmimage00.png)

               6                                   4

               8                                        5

               106

               12                                7

               14                                 8

               16                                 9

 prediction   20                                 11

Rule- no. Of dots joined  +1

                      2  

Prediction-I predict that when 20 dots are joined,

                   the area will be 11cmimage00.png.

My prediction was correct.

Formula- D= No. Of dots joined         A= D +1

                 A= Area                                     2  

Jonathan parsonage

 investigation four.

...read more.

Conclusion

    No. Of dots inside              Formula

0D -1

                                             2

1D

2

2D +1

                                             2

3D  +2

                                             2                

Rule-dots joined + dots inside -1

                     2

Formula- D= Dots joined                  A= D+ I -1

                  I= Dots inside                         2      

                 A= Area

Prediction- I predict that when a shape with five dots inside increases in area, then the formula for it will be D+4.

                                                                            2

Jonathan Parsonage

investigation for prediction made in conclusion (five dots joined)

Number of dots joined          Area(cmimage00.png)

               16                                 6

               18                                 7

               208

               22                                9

               24                                 10

prediction    28                                 12

Rule- No. Of dots joined +4

                     2

Prediction- I predict that when 28 dots are joined,

                    the area will be 12cmimage00.png.

                   My prediction was correct.

Formula- D= Dots joined     A= D +4

                 A= Area                      2

...read more.

This student written piece of work is one of many that can be found in our GCSE Fencing Problem 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 Fencing Problem essays

  1. Fencing investigation.

    100m 100m 400m Area = length x breadth As we already have both the length and the breadth of the rectangle shown above, we can solve the area with no trouble whatsoever. Area = length x breadth Area = 400m x 100m Area = 40,000m2 Quadrilaterals Trapeziums 200m 200m 200m 400m ?

  2. Geography Investigation: Residential Areas

    Figure 7 Figure 8 Table 1 Hypothesis (page 2 & 3) Method Used How the method will provide evidence for the hypothesis How the data will be presented 1) Bi Polar Analysis The method will change words into numeric's to enable me to analyze the data.

  1. Tubes Maths Investigation

    Also the square has a larger volume than all the cuboids suggesting that regular shapes give larger volumes. The results for the cuboids with a 32cm base are shown on the graph on the following page. This graph shows a gradual rise up to when the tube is a regular

  2. Borders Investigation

    Therefore our formula must contain a . The next step, in order to determine the rest of the formula, is to calculate the differences between the actual areas produced by each value of n and the result obtained by putting each value of n through the function , and put this into a table.

  1. Tubes Investigation

    To work out the area of a triangle the formulae needed is half base times height. In this particular case I am not given the height, so foremost I have to work out the height, this is done using what's known as Pythagerous's Theorem.

  2. GCSE Maths Coursework Growing Shapes

    Pattern no. Pattern no. pointing up(n) Perimeter 1 1 3 3 2 12 5 3 21 7 4 30 9 5 39 D1 As there are all 9's in the D1 column, the formula contains 9n. Pattern no. pointing up(n)

  1. Fencing - maths coursework

    So now I am going to investigate isosceles triangles The formula I have used to find out the area of the scalene triangle is =SQRT(D2*(D2-A2)*(D2-B2)*(D2-C2)) 495m 495m 10m S= 0.5 (495m + 495m + 10m) = 500m 500(500 - 490= 3)(500 - 5= 3)(500 - 5= 3)

  2. Maths Investigation on Trays.

    (18-2x)2 = 4(18-2x)x (18-2x)(18-2x) = 4x(18-2x) (18-2x) (18-2x) 18-2x = 4x 18= 4x + 2x 18= 6x so x must equal 3. As you can see by the results the formulae was correct in finding when the max volume will occur. I will see if this formula works for the other trays.

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