Add Maths

Quadratics

Solving Quadratics by Factorising

Completing the Square (non monic)

Polynomials, Factor and Remainder Theorems

The extended factor and remainder theorems

Factorising and sketching cubics

A Survey of Some Useful Graphs

Straight Lines and Circles

Useful forms of the equation of a straight line

Parallel and Perpendicular Lines

Finding the midpoint of two points

Dividing two points in a given ratio

Finding the distance between two points

Finding the centre and radius of a circle

Two methods to find the perpendicular bisector

Trigonometry, Sine and Cosine Rules

Proofs of the Sine and Cosine Rules

Solving Equations involving sin cos and tan

Trig Identities and Equations

Proving two useful trig identities

Using trig identities to solve equations

Binomial Expansions

Binomial Distribution

Linear Programming

coming soon!

Differentiation

Proving a formula for the gradient of a function

Differentiating polynomials from first principles

Examples of differentiating polynomials

Harder differentiation examples

Finding the equation of the tangent to a curve

Finding the equation of the normal to a curve

Integration

Proof that integration relates to finding areas

Examples using integration to find areas

Integration for areas below or partly below the x axis

Integrating to find the area between two curves

1d Kinematics and the SUVAT formulae

Introduction to the suvat formulae

SUVAT equations free fall under gravity

Using differentiation to find velocity and acceleration

Using calculus to solve 1d kinematics problems

Past Exam Paper Questions by Topic

Differentiation, Tangents and Normals

Antidifferentiation and Integration

Trigonometry and Bearings part one

Trigonometry and Bearings part two

Binomial Expansions and Calculus

1d Kinematics including SUVAT formulae