Chessboard coursework

The first 200 words of this essay...

How many squares on a chess board

Introduction

This is my first piece of mathematics coursework. In this project I will be finding out how many squares on a 8x8 chess board. In this project I will be including labelled drawings, clear enough to allow a non mathematician to follow, clearly written work, initial drawings of each of my steps and a finished formula justified. Finally an extension on my board making it rectangular.

Plan

* Introduction

* Spider diagram

* I will be collecting data from different sized grids ranging from 2x2 to 8x8.

* Explanation of how to add up the squares on the grid

* Further calculations

* Create a table of values.

* Formula and formula justified

* Draw a graph

* Extension

* Conclusion

* Evaluation

Tree diagram

Explanation of how to add up the squares on the grid

1. Count how many singular squares there are

=16

2. Count how many double squares there are.

=9

3. Continue this until you complete the whole shape in this case 4x4.

4.