Geometry

Skill Type Description Source
17.1 Conic sections Workbook Understand how conics are obtained as curves of intersection of a double-cone with a plane + state the standard form of the equations of the ellipse, the parabola and the hyperbola + classify quadratic expressions in x, y in terms of conics HELM
Polar coordinates Booklet This leaflet explains plane polar coordinates MathsCentre
Polar coordinates Booklet 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 (r, theta). In this unit we explain how to convert from Cartesian co-.. MathsCentre
17.2 Polar coordinates Workbook Understand how Cartesian coordinates and polar coordinates are related + find the polar form of a curve given in Cartesian form + recognise some conics given in polar form HELM
17.3 Parametric curves Workbook sketch planar curves given in parametric form + understand how the same curve can be described using different parameterizations + recognise some conics given in parametric form HELM
The geometry of a circle Booklet In this unit we find the equation of a circle, when we are told its centre and its radius. There are two different forms of the equation, and you should be able to recognise both of them. We also look at some problems involving tangents to circles MathsCentre
Conic sections Booklet In this unit we study the conic sections. These are the curves obtained when a cone is cut by a plane. We find the equations of one of these curves, the parabola, by using an alternative description in terms of points whose distances from a fixed point an MathsCentre

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