1Topic 1
Number & Algebra
Standard form, sequences, logarithms, proof, binomial
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Topic 1
Number & Algebra
Standard form, sequences, logarithms, proof, binomial
Exponents and Logarithms
Logarithmic concepts, log laws, and exponential equations.
Sequences & Series
Sequence notation, sigma notation, arithmetic and geometric patterns, financial applications, and depreciation.
Mathematical Proofs and Logic
Deductive reasoning, logical arguments, and proof techniques.
2Topic 2
Functions
Linear, quadratic, exponential, rational, transformations
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Topic 2
Functions
Linear, quadratic, exponential, rational, transformations
Linear Functions and Modelling
Straight-line equations, gradients, parallel lines, and perpendicular lines.
Quadratic Functions and Modelling
Quadratic graphs, factorisation, completing the square, equations, inequalities, and discriminants.
Functions Notation, Characteristics and Its Types
Function notation, composite functions, inverse functions, graph features, and intersections.
Exponential and Logarithmic Functions
Reciprocal, rational, exponential, and logarithmic functions, equation solving, and modelling.
3Topic 3
Geometry & Trigonometry
Circles, triangles, trig identities, equations, graphs
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Topic 3
Geometry & Trigonometry
Circles, triangles, trig identities, equations, graphs
Triangle Trigonometry
Pythagoras, right triangles, sine rule, cosine rule, and triangle area.
Unit Circle & Its Characteristics
Unit circle concepts and exact trigonometric values.
4Topic 4
Statistics & Probability
Data, correlation, probability, distributions
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Topic 4
Statistics & Probability
Data, correlation, probability, distributions
Statistics Essentials
Sampling, data collection, averages, spread, tables, graphs, and data interpretation.
Correlation & Regression
Scatter plots, correlation, Pearson’s coefficient, and linear regression.
Probability
Events, independence, mutual exclusivity, conditional probability, Venn diagrams, and tree diagrams.
Discrete Probability
Discrete distributions, expected value, variance, and variable transformations.
5Topic 5
Calculus
Differentiation, integration, optimisation, kinematics
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Topic 5
Calculus
Differentiation, integration, optimisation, kinematics
Differentiation Essentials
Derivatives, powers of x, gradients, tangents, normals, and increasing or decreasing functions.
Advanced Differentiation
Special functions, chain rule, product rule, quotient rule, higher derivatives, stationary points, concavity, inflection points, and graph analysis.
Integration Essentials
Antiderivatives, powers of x, constants of integration, and areas using technology.
Advanced Integration
Special functions, reverse chain rule, substitution, definite integrals, signed areas, and areas between curves.
Need theory or method first?
Read the Revision Notes or try the Skills before tackling exam questions.