Algebraic and geometric skills

Find the gradient, equations and intersections of medians, altitudes and perpendicular bisectors using our knowledge of the mid-point as well as parallel and perpendicular lines.

The equation of a circle can be found using the centre and radius. The discriminant can determine the nature of intersections between two circles or a circle and a line to prove for tangency.

A recurrence relation is a sequence that gives you a connection between two consecutive terms. This connection can be used to find next/previous terms, missing coefficients and its limit.