1Topic 1
Number & Algebra
Number skills, sequences, series, and financial mathematics
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Topic 1
Number & Algebra
Number skills, sequences, series, and financial mathematics
Core Number Skills
Scientific notation, index laws, logarithm basics, approximation, upper and lower bounds, percentage error, accuracy and estimation, and solving equations with a GDC.
Sequences and Series
Sequence and series notation, sigma notation, arithmetic sequences and series, geometric sequences and series, and real-world applications.
2Topic 2
Functions
Linear, quadratic, exponential, sinusoidal, and piecewise models
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Topic 2
Functions
Linear, quadratic, exponential, sinusoidal, and piecewise models
Linear Graphs
Straight-line equations and relationships between parallel and perpendicular lines.
More Functions and Their Graphs
Function notation and mappings, inverse functions, key graph features, intersections of graphs, and quadratic, cubic, exponential, and sinusoidal functions.
3Topic 3
Geometry & Trigonometry
Coordinate geometry, 3D geometry, trigonometry, and Voronoi diagrams
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Topic 3
Geometry & Trigonometry
Coordinate geometry, 3D geometry, trigonometry, and Voronoi diagrams
Essential Geometry
Coordinate geometry, perpendicular bisectors, arcs, and sectors.
Three-Dimensional Geometry
Coordinates in three dimensions, volume, and surface area.
Trigonometry
Pythagoras’ theorem, right-angled trigonometry, the sine rule, the cosine rule, triangle area, elevation and depression angles, bearings, and geometric constructions.
4Topic 4
Statistics & Probability
Data, regression, probability, distributions, and hypothesis testing
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Topic 4
Statistics & Probability
Data, regression, probability, distributions, and hypothesis testing
Statistical Essentials
Sampling and data collection, measures of centre and spread, frequency tables, data transformations, outliers, box plots, cumulative frequency graphs, histograms, and data interpretation.
Correlation and Regression
Scatter plots, correlation, Pearson’s correlation coefficient, Spearman’s rank correlation coefficient, comparison of correlation measures, and linear regression.
Probability Basics
Probability rules, event types, independent and mutually exclusive events, conditional probability, Venn diagrams, and tree diagrams.
Binomial Distributions
The binomial distribution and the calculation of binomial probabilities.
5Topic 5
Calculus
Differentiation, integration, and applications
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Topic 5
Calculus
Differentiation, integration, and applications
Differentiation
The derivative concept, differentiating powers of x, gradients, tangents and normals, increasing and decreasing behaviour, local maxima and minima, and applications of differentiation in modelling.
Need theory or method first?
Read the AI SL Revision Notes before tackling exam questions.