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

Maths Dots Investigation

Extracts from this document...


Jonathan Parsonage


Maths Coursework




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.


Rule-no. Of dots joined


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


               12                                7

               14                                 8

               16                                 9

 prediction   20                                 11

Rule- no. Of dots joined  +1


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.


    No. Of dots inside              Formula

0D -1




2D +1


3D  +2


Rule-dots joined + dots inside -1


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.


Jonathan Parsonage

investigation for prediction made in conclusion (five dots joined)

Number of dots joined          Area(cmimage00.png)

               16                                 6

               18                                 7


               22                                9

               24                                 10

prediction    28                                 12

Rule- No. Of dots joined +4


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.

    Quadrilaterals Squares 250m 250m 250m 250m Area = length x breadth As we already know both the length and the width of the square, it is the easiest shape to solve the area of. Area = length x breadth Area = 250m x 250m Area = 62,500m2 Quadrilaterals Rectangles 400m

  2. GCSE Maths Coursework Growing Shapes

    width I am going to measure the widest part of the shape. Pattern no. (n) Width 1 1 2 3 3 5 4 7 5 9 D1 As there are all 2's in the D1 column, the formula contains 2n.

  1. Perimeter Investigation

    the centre = 360 = 18� 20 Each side angle = 180 - 18 = 81 2 the height = 25 * tan81 = 157.8 Area of 1 triangle = 1/2 * 50 * 157.8 = 3945m Area of 20 triangles = 3945 * 20 = 78 900m From the

  2. Equable shapes Maths Investigation

    either the length or width of an equable shape is know the other measurement can be solved. For example if I have a length of an equable rectangle which is seven I know that from the table the width cannot be a whole number between one and ten so I

  1. Maths Investigation on Trays.

    x 24 x x 24 x Like the 18 by 18, 24 is also divisible by the numbers 1,2,3,4,6,8,12 and 14 of the numbers the significant one would be 6 because this came up in our method. I will use this formula to predict when the max volume will occur.

  2. Borders Investigation

    We measure the areas of the first four crosses and tabulate the results. However, this time the formula is quadratic (contains an ) and hence not immediately obvious. We use another method to derive it. The method we shall use begins by looking at the differences between successive terms, and

  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. Geography Investigation: Residential Areas

    the town, junction 7 in the south of the town and junction 6 in the north of the town. There is no particular reason why Basingstoke stands out to investigate residential areas; in fact, because of its growth it is probably harder to study the town as it has no particular boundaries.

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