Co-ordinate Geometry Part 1
Worksheet - remember to find the hypotenuse you will need to use the theorem of Pythagoras. Spend a bit of time on question 1-3 it will help you to understand some of the ideas in co-ordinate geometry. You will find the applet for Q.3 here. Although you have the formulas in the tables it is very important to know where to find them, which ones you need to use and how to use them. Some notes and questions on co-ordinate geometry are available here.

Earlier this year you did an exercise on the equation of a line. The last part of the revison worksheet is on the equation of a line - remember that there are two formulas for the equation of a line in the maths tables - make sure that you use the right one. some answers for Q1-3 are here and the answers to Q4 to 6 are available below as a pencast.

Equation of a line worksheet Q.4 to Q.6
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Simultaneous Equations

These consist of two equations and two unknowns. They can be solved in two ways; you can be asked to use either method so learn both.

Method 1

Solve the equations algebraically there are notes here –  and  a pencast here.

(See p.124-126 in your book for examples and questions)
Worksheet 1 
Worksheet 2
Worksheet 1 answers
Worksheet 2 answers

Method 2

Draw a graph of each line on the same page and find the point at which they meet, this point is the solution. There is a pencast on plotting lines below, for simultaneous equations just do both lines on the same page. Note this method finds where the line crosses the x-axis and the y-axis. If it is convenient you can pick any number for x or y and substitute this in to the equation and find the value of the other variable.

Graph of a Line
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Graphing Lines

2x + 3y = 4 and 3x = 4y are typical examples of linear equations. The solutions for these come in pairs - for every possible value of x there is one value of y that will work and vice versa. If the solutions of these equations are plotted is it found that all the points lie on a straight line.

The pencast below shows the method for finding the points where the line crosses the X-axis and the Y-axis. This method is useful when you want to draw a graph of the line.

You can use this method to solve simultaneous equations, just put both lines on the same graph.

Graph of a Line
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Co-ordinate Geometry Part 2

Make sure you are familiar with the formulas in your tables on p.18 - remember you only use the first five formulas for now. 

Revision notes for second year and third year on co-ordinate geometry. Graphing Linear Equations - try these two examples. Solving simultaneous equations without drawing a graph - examples and notes. 

The notes are not enough unless you work on them - try doing the questions in the book using the notes to help you.

   There are some more interactive pages on co-ordinate geometry here.

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Simultaneous Equations

This is a pencast showing how to solve simultaneous equations. Notes on Simultaneous Equations are here and more on Co-ordinate Geometry can be found here.

Click the orange circle to see the solution and then click Full Screen to see it in full size. You can use the controls to zoom in on the solution. You can also use the controls to show all the writing immediately. If you don't want to listen to the solution you can just jump to the end. The the solutions are on three pages, click on the right to jump to the other pages. If this does not work with Chrome try Firefox etc.

Simultaneous Equations
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