• 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. 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

  1. Geography Investigation: Residential Areas

    done this to show I have not asked for any unnecessary information from the person filling out my survey. It is also highlighting the relevance that each question has to my investigation and that I cannot form acceptable results without it.

  2. Borders Investigation

    These differences should form a linear sequence, of the type encountered when looking at perimeter, from which a formula can easily be derived. This linear formula, when added to the , will give the overall formula for the nth term of the area sequence.

  1. Fencing - maths coursework

    = 500m 500 x 50 x 50 x 400 =22360.68m2 450m 450m 100m S= 0.5 (450m + 450m + 100m) = 500m 500 x 50 x 50 x 400 250.5m 250.5m =22360.68m2 499m S= 0.5 (499m + 250.5m + 250.5m)

  2. Tubes Investigation

    1512cm( 10 X 6 X 24 = 1440cm( 11 X 5 X 24 = 1320cm( 12 X 4 X 24 = 1152cm( 13 X 3 X 24 = 936cm( 14 X 2 X 24 = 672cm( 15 X 1 X 24 = 360cm( I would like to move on to triangles, and determine what their biggest volume would be.

  1. Perimeter Investigation

    In a regular pentagon each equal side would be = 1000 / 5 = 200m Using TAN = h / 100 = tan 54 h = 100tan54 = 137.6 Area = 1/2 * 200 * 137.6 = 13760 Area of 5 triangles = 13760 * 5 = 68 800m In

  2. GCSE Maths Coursework Growing Shapes

    I notice that with pattern 4 in columns when n = 4: 2 lots of (1 + 3 + 5) = 2 x 9 1 lot of 7 = 1 x 7 2 x 9 = 2(n-1)2 7 = 2n - 1 Ts = 2(n-1)2 + 2n - 1 Number of Lines Pattern no.

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