1. Coordinate Geometry Learning Outcomes
Find the co ordinates of the mid point of a line
Be able to find the length of a line
Understand the relationship between parallel and perpendicular lines
Be able to find the equation of a line that passes through a given point and is parallel or perpendicular to a given line
Approx Time: 6-8 periods

2. Coordinate Geometry 1. Find
1. The gradient of the following straight lines
2. Where each line crosses the co-ordinate axes
y= 5x – 7
2y = x + 1
3y + 4x = 5
5x – 2y – 2 = 0

3. Coordinate Geometry 2.
Which of these lines is parallel to the line with equation 2x – 4y = 4
y = 4x – 3
3y = 6x – 3
y + 4x = 3
2y + 4x = 3
2 = 2x – y
6y = 3x + 3

4. Coordinate Geometry 3.
Which of these lines is perpendicular to the line with equation x – 2y = 6
y = 4x – 3
3y = 6x – 3
y + 4x = 3
2y + 4x = 3
2 = 2x – y
6y = 3x + 3

5. Coordinate Geometry 4.
Find the equation of the straight line which passes through (-4, 3) and is parallel to the line y = 2x + 5

6. Coordinate Geometry 5.
Find the equation of the straight line which passes through (-1, -3) and is perpendicular to the line 4x – 3y = 12

7. Coordinate Geometry 6. A is the point (2,3). B is the point (5, -1).
(i) Find the coordinates of the mid-point of AB
(ii) Calculate the length AB.

8. Coordinate Geometry 7.
The diagram shows a cuboid with edges a = 2 units, b = 1 unit and c = 3 units C
Taking O as the origin and lines a, b, c as the axes:
Write down the coordinates of the point C;
Mark the point (1, 0, 3) labelling it Q.
Write down the coordinates of the mid-point of line d.
Calculate the length of d B O A

9. Additional Notes

11. At the end of the topic I will be able to
Coordinate Geometry
Learning Outcomes:
At the end of the topic I will be able to
Can Revise
Do Further  
Find the co ordinates of the mid point of a line
Be able to find the length of a line
Understand the relationship between parallel and perpendicular lines
Be able to find the equation of a line that passes through a given point and is parallel or perpendicular to a given line    
Approx Time: 6-8 periods  