Coordinate geometry in the (x,y) plane

AS Level

  • Understand and use the equation of a straight line, including the forms y -y1 = m(x-x1) and ax+by+c=0 and ; gradient conditions for two straight lines to be parallel or perpendicular
  • Be able to use straight line models in a variety of contexts
  • Understand and use the coordinate geometry of the circle including using the equation of a circle in the form (x-a)2 + (y-b)2 =r2; completing the square to find the centre and radius of a circle; use of the following properties:

• the angle in a semicircle is a right angle

• the perpendicular from the centre to a chord bisects the chord

• the radius of a circle at a given point on its circumference is perpendicular to the tangent to the circle at that point

A Level

  • Understand and use the parametric equations of curves and conversion between Cartesian and parametric forms
  • Use parametric equations in modelling in a variety of contexts