Course Specifications for IB Math AA SL

This page covers the full IB Math AA SL syllabus. Practise each topic with the AA SL question bank. Download the AA SL formula sheets and use past papers alongside this guide.

1. Number & Algebra

  • Number Toolkit

    • Standard Form

    • Laws of Indices

  • Exponentials & Logs

    • Introduction to Logarithms

    • Laws of Logarithms

    • Solving Exponential Equations

  • Sequences & Series

    • Language of Sequences & Series

    • Sigma Notation

    • Arithmetic Sequences & Series

    • Geometric Sequences & Series

    • Applications of Sequences & Series

    • Compound Interest & Depreciation

  • Proof & Reasoning

    • Proof

  • Binomial Theorem

    • Binomial Coefficients & Pascal’s Triangle

    • Binomial Theorem

2. Functions

  • Linear Functions & Graphs

    • Equations of a Straight Line

    • Parallel & Perpendicular Lines

  • Quadratic Functions & Graphs

    • Quadratic Functions

    • Factorising Quadratics

    • Completing the Square

    • Solving Quadratic Equations

    • Quadratic Inequalities

    • Discriminants

  • Functions Toolkit

    • Language of Functions

    • Composite Functions

    • Inverse Functions

    • Graphing Functions & Their Key Features

    • Intersecting Graphs

  • Further Functions & Graphs

    • Reciprocal & Rational Functions

    • Exponential & Logarithmic Functions

    • Solving Equations Analytically

    • Solving Equations Graphically

    • Modelling with Functions

  • Transformations of Graphs

    • Translations of Graphs

    • Reflections of Graphs

    • Stretches of Graphs

    • Composite Transformations of Graphs

3. Geometry & Trigonometry

  • Geometry Toolkit

    • Coordinate Geometry

    • Arcs & Sectors Using Degrees

    • Radian Measure

    • Arcs & Sectors Using Radians

  • Geometry of 3D Shapes

    • 3D Coordinate Geometry

    • Volume & Surface Area

  • Trigonometry

    • Pythagoras & Right-Angled Trigonometry

    • Sine Rule, Cosine Rule & Area of a Triangle

    • Angles of Elevation & Depression

    • Bearings & Constructions

  • The Unit Circle & Exact Values

    • The Unit Circle

    • Exact Values

  • Trigonometric Functions & Graphs

    • Graphs of Trigonometric Functions

    • Solving Equations Using Trigonometric Graphs

    • Transformations of Trigonometric Functions

    • Modelling with Trigonometric Functions

  • Trigonometric Equations & Identities

    • Simple Identities

    • Double Angle Formulae

    • Relationship Between Trigonometric Ratios

    • Linear Trigonometric Equations

    • Quadratic Trigonometric Equations

4. Statistics & Probability

  • Statistics Toolkit

    • Sampling & Data Collection

    • Measures of Central Tendency

    • Measures of Dispersion

    • Frequency Tables

    • Linear Transformations of Data

    • Outliers

    • Box & Whisker Diagrams

    • Cumulative Frequency Graphs

    • Histograms

    • Interpreting Data

  • Correlation & Regression

    • Scatter Diagrams & Correlation

    • Pearson’s Product-Moment Correlation Coefficient

    • Linear Regression

  • Probability

    • Probability & Types of Events

    • Independent & Mutually Exclusive Events

    • Conditional Probability

    • Venn Diagrams

    • Tree Diagrams

  • Probability Distributions

    • Discrete Probability Distributions

    • Expected Values

  • Binomial Distribution

    • The Binomial Distribution

    • Calculating Binomial Probabilities

  • Normal Distribution

    • The Normal Distribution

    • Calculations with Normal Distribution

    • Standardisation of Normal Variables & z-Values

    • Finding Unknown Parameters

5. Calculus

  • Differentiation

    • Introduction to Derivatives

    • Differentiating Powers of x

    • Gradients, Tangents & Normals

    • Increasing & Decreasing Functions

  • Further Differentiation

    • Differentiating Special Functions

    • Chain Rule

    • Product Rule

    • Quotient Rule

    • Second Order Derivatives

    • Stationary Points

    • Concavity & Points of Inflection

    • Derivatives & Graphs

  • Integration

    • Introduction to Integration

    • Integrating Powers of x

    • Finding the Constant of Integration

    • Finding Areas Using a GDC

  • Further Integration

    • Integrating Special Functions

    • Reverse Chain Rule

    • Integration by Substitution

    • Definite Integrals

    • Negative Integrals

    • Area Between a Curve and a Line

    • Area Between 2 Curves

  • Optimisation

    • Modelling with Differentiation

  • Kinematics

    • Displacement, Velocity & Acceleration

    • Calculus for Kinematics