For the teaching and
independent learning
of mathematics

Ages 16-19

Core (Pure) Mathematics
Factorising quadratics
Factorising Harder quadratics
Completing the square
Quadratics - the discriminant
Circles and lines
Sequences 2 - quadratic
Polynomial graphs
Polynomial transformations
Differentiating polynomials
Tangents and normals
Linear inequalities
Solving equations graphically
Algebraic long division 1
Algebraic long division 2
Solving cubic equations
The Sine Rule
The Cosine Rule and Area Formulas
Equations of circles
Trigonometric transformations
Trigonometric equations
Integrating polynomials
Second derivatives
Quadratics - inverses
Exponential functions

Logarithmic functions
Reciprocal (rational) functions
Cobweb Diagrams
Modulus functions
Differentiating exponentials 1
Differentiating exponentials 2
Differentiating Sine and Cosine
Trigonometric functions
Trig - Asin(x) + Bcos(x)
Trapezium/Mid-Ordinate Rules
Parametric equations
Parametric equations 2

Probability and Statistics
Cumulative frequency
Histograms
Linear interpolation
Estimating Quantiles
Venn Diagrams 1
Venn Diagrams 2
Conditional Probabilities
Correlation and Regression
Normal Distribution
Binomial + Normal
Poisson + Normal
Binomial + Poisson
Central Limit Theorem
Confidence Intervals

Circles and ellipses

Decision Mathematics
Simple network graphs 1
2-variable linear programming

Further Mathematics
Complex Numbers
Newton-Raphson Method
Polar Coordinates
Hyperbolic Functions
Complex Roots
Complex Transformations
2D Matrix Transformations
Euler Methods

Other
Circles and Ellipses
The Mandelbrot Set
Cubic Sequences