Roadmap
Number
Exact numbers
1C - Working with surds
1D - Rationalising denominators
Powers and exponential graphs
1B - Integer and fractional indices
1A - Exponential functions
Logarithms
1A, 1B - Logarithms as exponents
1B - Combining logarithms
1B - Solving logarithmic equations
1B - Changing base and finding exponents
Algebra
Quadratics
2A - Factorising quadratic expressions
2A - Completing the square
2B, 2C - Quadratic roots and the discriminant
2C - Sums and products of roots
2C - Quadratics with related roots
Polynomial equations
3A - Dividing polynomials
3B - Remainders and factors
3B, 3C - Factorising and solving cubics
3C - A line and a quadratic together
Locked
Inequalities
3D - Solving linear inequalities
Locked
3D - Solving quadratic inequalities
Locked
3E - Regions and linear optimisation
Locked
Function graphs
4A - Sketching polynomial graphs
Locked
4A - Rational functions and asymptotes
Locked
4B - Solving equations with graphs
Locked
Series
Arithmetic sequences and sums
5A, 5B - Arithmetic sequences
Locked
5A, 5B - Arithmetic series
Locked
Geometric sequences and sums
5B - Geometric sequences
Locked
5A, 5B - Finite geometric series
Locked
5B - Convergent geometric series
Locked
Binomial expansions
6A - Binomial expansions with integer powers
Locked
6A - Binomial series with rational powers
Locked
6A - Using a binomial approximation
Locked
Geometry
Coordinate geometry
8A - Distances between points
Locked
8B - Dividing a line in a ratio
Locked
8C - Gradients of straight lines
Locked
8D - Equations of straight lines
Locked
8E - Parallel and perpendicular lines
Locked
Vectors
7A, 7B - Vectors and components
Locked
7C, 7E - Vector lengths and unit vectors
Locked
7D, 7F - Position vectors and division points
Locked
7A, 7F - Parallel lines and collinearity
Locked
7F - Vector intersections and concurrency
Locked
Trigonometry
Angles and graphs
10A - Radians, arcs and sectors
Locked
10B - Trigonometric ratios beyond acute angles
Locked
10B - Sine, cosine and tangent graphs
Locked
Triangles and space
10D - The sine rule and triangle area
Locked
10D - The cosine rule
Locked
10C - Angles and lengths in three dimensions
Locked
Identities and equations
10E, 10F - Using trigonometric identities
Locked
10G - Compound-angle formulae
Locked
10E, 10G - Double-angle identities
Locked
10H - Trigonometric equations on an interval
Locked
10E, 10F, 10H - Trigonometric equations using identities
Locked
Calculus
Differentiation rules
9A - Gradients and the power rule
Locked
9A - Differentiating sine, cosine and exponentials
Locked
9B - The chain rule
Locked
9B - The product rule
Locked
9B - The quotient rule
Locked
Curves and optimisation
9F - Tangents and normals
Locked
9D, 9E - Stationary and turning points
Locked
9E - Maximum and minimum problems
Locked
Integration
9A - Antiderivatives and integration rules
Locked
9A, 9C - Definite integrals
Locked
9C - Areas bounded by curves
Locked
9C - Volumes of revolution
Locked
Motion and change
9C - Displacement, velocity and acceleration
Locked
9G - Connected rates of change
Locked
9G - Estimating small changes
Locked