Geometry

Properties of straight line segments
Properties of straight line segments. In this unit a system of coordinates is described, and is used to find various properties of the straight line between two points. The distance between the two points and the midpoint of the line joining the two points are calculated.Length: 27 minutes 
The gradient of a straight line segment
The gradient of a straight line segment. In this unit the gradient of a straight line segment is found, and the relationships between the gradients of parallel lines and perpendicular lines are explained.Length: 21 minutes 
Equations of straight lines
Equations of straight lines. In this unit the equation of a straight line is established using either information about its gradient together with the coordinates of a point on the line, or alternatively the coordinates of two different points on the line. The different ways of expressing the final equation are explored.Length: 34 minutes 
The Geometry of a Circle
The geometry of a circle. In this unit the equation of a circle is found from the coordinates of its centre and its radius. There are two different forms of the equation. The unit also covers some examples involving tangents to circles.Length: 40 minutes 
Conic Sections
Conic sections. Conic sections are the curves obtained when a cone is cut by a plane. The equation of one of these curves, the parabola, is found by using an alternative description in terms of points whose distances from a fixed point and a fixed line are equal.Length: 36 minutes 
Polar Coordinates
Polar coordinates . The (x, y) coordinates of a point in the plane are called its Cartesian coordinates. But there is another way to specify the position of a point, and that is to use polar coordinates. Conversion from Cartesian coordinates to polar coordinates, and back again, is explained.Length: 37 minutes