Sec 3 Term 3
Unit 9 : Coordinate Geometry

Starter :

1. Basic Definition of Coordiate Geometry
Click on this link to check on out more about coordinate geometry

2. Skills in Coordinate Reading

a) Grid Game.

b) Shooting Game

3. Equation of straight line

Click on this link to play the game to check out your skills on equation of straight line

4. Other knowledge

a) Gradient

b) Midpoint

c) Distance Formula

Main Course:
a) Equation of perpendicular line






b) Perpendicular Bisector



c) Shoelace Formula

Please refer to textbook pg 141- 143 for the proof.

The coordinates of the given points must be arranged in anti clockwise direction.
d) Graphs and equations of circles
Definition :
A circle is the set of points equidistant from a point C(h,k) called the center. The fixed distance r from the center to any point on the circle is called the radius.

The standard equation of a circle with center C(h,k) and radius r is as follows:


Circle Formula
Circle Formula


For instance, find the equation of a circle whose center is at (2, - 4) and radius 5.

Solution:

The required equation :

Solution1.7a
Solution1.7a

e) Click on this link to download the powerpoint slides on coordinate geometry.
You should have the student version printed and attempt all the examples.

Click on this set of slides for the detailed solutions.


f) Upon complete the slides, you should have master the required skills to attempt the exercises in the textbook. You must be self-disciplined to attempt these exercises.
Homework :
Ex 7.1 (Pg 140 -141) : Q2, Q3, Q4, Q5
Ex 7.2 (Pg 144 – 145) : Q1, Q2, Q5, Q6
Ex 7.3 (Pg 149 - 150) : Q2, Q3, Q6, Q7
Ex 7.4 (Pg 156- 158) : Q1, Q4, Q6, Q11
Ex 9.2 (Pg 194) : Q1a, Q1d, Q2a, Q2b, Q2c, Q4, Q5, Q7, Q9

g) Now, it is the really challenge. It's time to assess your attainment. Complete this complusory assignment.

Dessert:

Are you ready for the finale of this unit? Click on Coordinate Geometry (2009) and play the game to access your final enlightenment in this unit.


Coordinate Geometry Screenshot
Coordinate Geometry Screenshot