Geometry

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Properties of straight line segments
Properties of straight line segments. In this unit a system of co-ordinates is described, and is used to find various properties of the straight line between two points. The distance between the two points and the mid-point 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 co-ordinates of a point on the line, or alternatively the co-ordinates 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 co-ordinates 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 Co-ordinates
Polar co-ordinates . The (x, y) co-ordinates of a point in the plane are called its Cartesian co-ordinates. But there is another way to specify the position of a point, and that is to use polar co-ordinates. Conversion from Cartesian co-ordinates to polar co-ordinates, and back again, is explained.Length: 37 minutes
