# Space, shape and measurement: Use the Cartesian co-ordinate system to derive and apply equations ### Subject outcome 3.3

Use the Cartesian co-ordinate system to derive and apply equations ### Learning outcomes

• Use the Cartesian co-ordinate system to plot points, lines and polygons.
• Use the Cartesian co-ordinate system to calculate the distance between two points.
• Use the Cartesian co-ordinate system to find the gradient of the line joining two points.
• Use the Cartesian co-ordinate system to find the co-ordinates of the midpoint of a line segment joining two points. ### Unit outcomes: Unit 1: Plotting points on the Cartesian plane

By the end of this unit you will be able to:

• Use the Cartesian co-ordinate system to plot points, lines and polygons.
• Find co-ordinates from labelled points. ### Unit outcomes: Unit 2: Distance, gradient and midpoints

By the end of this unit you will be able to:

• Calculate the distance between two points on the Cartesian plane.
• Calculate the gradient between two points on a straight line.
• Work with the gradients of parallel and perpendicular lines.
• Calculate the midpoint between two points on the Cartesian plane. 