Unit 27 Coordinates Presentation 1 Positive Coordinates Presentation

Unit 27 Coordinates Presentation 1 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

Unit 27 27. 1 Positive Coordinates

y 9 A 8 7 6 5 D F C 4 E 3 2 B 1 1 2 3 4 5 6 G x 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 E F G (0, ? 5) (6, ? 3) (6, ? 5) (8, ? 0)

Unit 27 27. 2 Coordinates

y 5 4 Shop 3 2 Jetty 1 Telephone Box -8 -7 -6 -5 Cafe -4 -3 -2 -1 0 -1 -2 Lifeboat -3 station -4 1 2 3 Lighthouse 4 5 6 7 Church Campsite -5 -6 thethe grids above, what Write On Down coordinates for: is at the point Lighthouse Shop (-4, ? 3) ? A (4, -2)(7, ? 1) Church Telephone Box-3)(-4, ? 1)Lifeboat Jetty (2, ? 2) B(-2, ? Station Campsite (3, ? -4) Cafe (-5, ? -2) 8 x

Unit 27 27. 3 Plotting Straight Lines

(A) Complete the following pairs of coordinates for (4, ? 2) ? (1, -1) ? (-1, -3) (B) Plot these points on the grid below. 4 y 3 2 1 -4 -3 -2 -1 0 -1 1 2 3 4 5 x -2 -3 (C) Draw a straight line through these points.

Unit 27 27. 4 Plotting Curves

(A) Complete the table below for the relationship x -3 -2 -1 0 1 2 3 y 7 ? 2? ? -1 ? -2 ? -1 ? 2 7? (B) Plot the points on the grid below, drawing a smooth curve y through them 7 6 5 4 3 2 1 -6 -5 -4 -3 -2 -1 0 -1 -2 -3 1 2 3 4 x

Unit 27 27. 5 Mid-Points of Line Segments

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: ? ? y ? A 7 ? 6 5 C ? Show this point on the diagram 4 B 3 2 1 -6 -5 -4 -3 -2 -1 -1 -2 -3 D -4 -5 -6 x 1 2 3 4 5 6

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: ? ? y ? ? A 7 6 5 4 C ? B 3 2 Show this point on the diagram 1 -6 -5 -4 -3 -2 -1 -1 -2 -3 D -4 -5 -6 x 1 2 3 4 5 6

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: ? ? y ? ? A 7 6 5 4 C ? B 3 2 Show this point on the diagram 1 -6 -5 -4 -3 -2 -1 -1 -2 -3 D -4 -5 -6 x 1 2 3 4 5 6

Unit 27 27. 5 Three-Dimensional Coordinates

y z G H E A D C F 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 ? 0) (6, 5, D ? 0) (0, 5, E ? 2) (0, 0, F (6, ? 0, 2) G ? 2) (6, 5, H (0, ? 5, 2)