1. Unit 27 Coordinates Presentation 1 Presentation 2 Presentation 3
Positive Coordinates
Presentation 2
Coordinates
Presentation 3
Plotting Straight Lines
Presentation 4
Plotting Curves
Presentation 5
Mid-Points of Line Segments
Presentation 6
Three-Dimensional Coordinates

2. Unit 27
27.1 Positive Coordinates

3. (a) Plot the points A(3, 8), B(6, 1) and C(2, 5)y 9 8 7 6 5 4 3 2 1  D  F  E G  A C B x 1 2 3 4 5 6 7 8 9
(a) Plot the points A(3, 8), B(6, 1) and C(2, 5)
(b) What are the coordinates of the following points
D (0, 5)
E (6, 3)
F (6, 5)
G (8, 0) ? ? ? ?

4. Unit 27
27.2 Coordinates

5. Write Down the coordinates for: Lighthouse (7, 1) Shop (-4, 3) y 5 4 3 2 1 -1 -2 -3 -4 -5 -6
Shop
Jetty
Lighthouse
Telephone Box -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 x
Cafe
Church
Lifeboat
station
Campsite
Write Down the coordinates for:
Lighthouse (7, 1) Shop (-4, 3)
Telephone Box (-4, 1) Jetty (2, 2)
Campsite (3, -4) Cafe (-5, -2)
On the grids above, what is at the point
A (4, -2) Church
B(-2, -3) Lifeboat Station ? ? ? ? ? ? ? ?

6. 27.3 Plotting Straight Lines
Unit 27
27.3 Plotting Straight Lines

7. Complete the following pairs of coordinates for
(4, 2) (1, -1) (-1, -3)
(B) Plot these points on the grid below. ? ? ? y 4 3 2 1 -1 -2 -3 -4 -3 -2 -1 1 2 3 4 5 x
(C) Draw a straight line through these points.

8. Unit 27
Plotting Curves

9. (A) Complete the table below for the relationshipx -3 -2 -1 1 2 3 y 7 ? ? ? ? ? ? ?
(B) Plot the points on the grid below, drawing a smooth curve through them y 7 6 5 4 3 2 1 -6 -5 -4 -3 -2 -1 1 2 3 4 x -1 -2 -3

10. 27.5 Mid-Points of Line Segments
Unit 27
Mid-Points of Line Segments

11. What are the coordinates of the mid-point of the line segment AB?
The coordinates of A are (2, 7) and of B (5, 3)
Hence the coordinates of the mid-point of AB are:
Show this point on the
diagram ? ? ? ? y A ? ? 7 6 5 4 3 2 1 ? C B x -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 D

12. What are the coordinates of mid-point of the line segment AC?
The coordinates of A are (2, 7) and of C (-5, 3)
Hence the coordinates of the mid-point AC are:
Show this point on the
diagram ? ? ? ? y ? ? A 7 6 5 4 3 2 1 ? C B x -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 D

13. What are the coordinates of mid-point of the line segment BD?
The coordinates of B are (5, 3) and of D (-4, -5)
Hence the coordinates of the mid-point BD are:
Show this point on the
diagram ? ? ? ? y ? ? A 7 6 5 4 3 2 1 ? C B x -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 D

14. 27.5 Three-Dimensional Coordinates
Unit 27
Three-Dimensional Coordinates

15. y z H G D C E F A B x
If AB = 6, AD = 5 and AE = 2, write down the coordinates of each vertex of the cuboid
A (0, 0, 0) B (6, 0, 0)
C (6, 5, 0) D (0, 5, 0)
E (0, 0, 2) F (6, 0, 2)
G (6, 5, 2) H (0, 5, 2) ? ? ? ? ? ? ? ?