1. Number & Algebra

Number Toolkit

Standard Form

Exponents & Logarithms

Approximation & Estimation

Solving Equations using a GDC

Sequences & Series

Language of Sequences & Series

Arithmetic Sequences & Series

Geometric Sequences & Series

Applications of Sequences & Series

Financial Applications

Compound Interest & Depreciation

Amortisation & Annuities

2. Functions

Linear Functions & Graphs

Equations of a Straight Line

Further Functions & Graphs

Functions

Graphing Functions

Properties of Graphs

Modelling with Functions

Linear & Piecewise Models

Quadratic & Cubic Models

Exponential Models

Direct & Inverse Variation

Sinusoidal Models

Strategy for Modelling Functions

3. Geometry & Trigonometry

Geometry Toolkit

Coordinate Geometry

Arcs & Sectors

Geometry of 3D Shapes

3D Coordinate Geometry

Volume & Surface Area

Trigonometry

Pythagoras & Right-Angled Trigonometry

Non Right-Angled Trigonometry

Applications of Trigonometry & Pythagoras

Voronoi Diagrams

Voronoi Diagrams

Toxic Waste Dump Problem

4. Statistics & Probability

Statistics Toolkit

Sampling & Data Collection

Statistical Measures

Frequency Tables

Linear Transformations of Data

Outliers

Univariate Data

Interpreting Data

Correlation & Regression

Bivariate data

Correlation Coefficients

Linear Regression

Probability

Probability & Types of Events

Conditional Probability

Sample Space 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

Hypothesis Testing

Hypothesis Testing

Chi-squared Test for Independence

Goodness of Fit Test

The t-test

5. Calculus

Differentiation

Introduction to Differentiation

Applications of Differentiation

Modelling with Differentiation

Integration

Numerical Integration using the Trapezoid Rule

Introduction to Integration

Applications of Integration

Exam boards

• DP IB Applications & Interpretation (AI): HL
• DP IB Analysis & Approaches (AA): SL
• DP IB Analysis & Approaches (AA): HL

Study tools

• DP IB Applications & Interpretation (AI) · Exam Questions
• DP IB Applications & Interpretation (AI) · Flashcards
• DP IB Applications & Interpretation (AI) · Past Papers

Related links

• IB Maths · Revision Notes
• IB Maths · Exam Questions
• IB Maths · Flashcards
• IB Maths · Past Papers
• IB Maths · Glossary