IBO · DP Math AA SL/HL
IB Mathematics: Analysis and Approaches Resources
syllabus · past papers and exam practice · practice · course outline
Units and topics
Choose a topic to see its available materials.
Unit 1 - Number and algebra16 topics
Open this unit →- Topic 1.1 Operations with Numbers in Standard FormMaterials
- Topic 1.2 Arithmetic Sequences and SeriesMaterials
- Topic 1.3 Geometric Sequences and SeriesMaterials
- Topic 1.4 Financial Applications of Geometric Sequences and SeriesMaterials
- Topic 1.5 Exponents and Introduction to LogarithmsMaterials
- Topic 1.6 Simple Deductive ProofMaterials
- Topic 1.7 Rational Exponents and Laws of LogarithmsMaterials
- Topic 1.8 Infinite Convergent Geometric SeriesMaterials
- Topic 1.9 Binomial TheoremMaterials
- Topic 1.10 Counting Principles and Extended Binomial Theorem (HL only)Materials
- Topic 1.11 Partial Fractions (HL only)Materials
- Topic 1.12 Complex Numbers in Cartesian Form (HL only)Materials
- Topic 1.13 Polar and Euler Forms of Complex Numbers (HL only)Materials
- Topic 1.14 Complex Roots and De Moivre's Theorem (HL only)Materials
- Topic 1.15 Advanced Proof (HL only)Materials
- Topic 1.16 Systems of Linear Equations (HL only)Materials
Unit 2 - Functions16 topics
Open this unit →- Topic 2.1 Straight LinesMaterials
- Topic 2.2 Functions, Domain, Range and InverseMaterials
- Topic 2.3 Graphing FunctionsMaterials
- Topic 2.4 Key Features and Intersections of GraphsMaterials
- Topic 2.5 Composite and Inverse FunctionsMaterials
- Topic 2.6 Quadratic FunctionsMaterials
- Topic 2.7 Quadratic Equations and InequalitiesMaterials
- Topic 2.8 Reciprocal and Rational FunctionsMaterials
- Topic 2.9 Exponential and Logarithmic FunctionsMaterials
- Topic 2.10 Solving Equations Graphically and AnalyticallyMaterials
- Topic 2.11 Transformations of GraphsMaterials
- Topic 2.12 Polynomial Functions, Graphs, and Equations (HL only)Materials
- Topic 2.13 Advanced Rational Functions (HL only)Materials
- Topic 2.14 Odd, Even, and Inverse Functions (HL only)Materials
- Topic 2.15 Function Inequalities (HL only)Materials
- Topic 2.16 Advanced Graph Transformations and Modulus Equations (HL only)Materials
Unit 3 - Geometry and trigonometry18 topics
Open this unit →- Topic 3.1 Three-Dimensional GeometryMaterials
- Topic 3.2 Right and Non-Right Triangle TrigonometryMaterials
- Topic 3.3 Applications of TrigonometryMaterials
- Topic 3.4 Radian Measure, Arc Length, and Sector AreaMaterials
- Topic 3.5 The Unit Circle and Exact Trigonometric ValuesMaterials
- Topic 3.6 Trigonometric IdentitiesMaterials
- Topic 3.7 Graphs of Circular FunctionsMaterials
- Topic 3.8 Solving Trigonometric EquationsMaterials
- Topic 3.9 Reciprocal and Inverse Trigonometric Functions (HL only)Materials
- Topic 3.10 Compound Angle and Double Angle Identities (HL only)Materials
- Topic 3.11 Symmetry of Trigonometric Graphs (HL only)Materials
- Topic 3.12 Vectors in Two and Three Dimensions (HL only)Materials
- Topic 3.13 Scalar Product of Vectors (HL only)Materials
- Topic 3.14 Vector Equations of Lines (HL only)Materials
- Topic 3.15 Relationships Between Lines in 3D (HL only)Materials
- Topic 3.16 Vector Product of Vectors (HL only)Materials
- Topic 3.17 Vector Equations of Planes (HL only)Materials
- Topic 3.18 Intersections and Angles with Planes (HL only)Materials
Unit 4 - Statistics and probability14 topics
Open this unit →- Topic 4.1 Sampling, Data Types, Bias, and OutliersMaterials
- Topic 4.2 Data Presentation and Box PlotsMaterials
- Topic 4.3 Measures of Central Tendency and DispersionMaterials
- Topic 4.4 Correlation and Linear RegressionMaterials
- Topic 4.5 Basic Probability ConceptsMaterials
- Topic 4.6 Combined, Conditional, and Independent EventsMaterials
- Topic 4.7 Discrete Random VariablesMaterials
- Topic 4.8 Binomial DistributionMaterials
- Topic 4.9 Normal DistributionMaterials
- Topic 4.10 Regression Line of x on yMaterials
- Topic 4.11 Formal Conditional Probability and IndependenceMaterials
- Topic 4.12 Standardized Normal VariablesMaterials
- Topic 4.13 Bayes' Theorem (HL only)Materials
- Topic 4.14 Random Variables and Probability Density Functions (HL only)Materials
Unit 5 - Calculus19 topics
Open this unit →- Topic 5.1 Limits and the DerivativeMaterials
- Topic 5.2 Increasing and Decreasing FunctionsMaterials
- Topic 5.3 Basic Differentiation RulesMaterials
- Topic 5.4 Tangents and NormalsMaterials
- Topic 5.5 Introduction to IntegrationMaterials
- Topic 5.6 Differentiation TechniquesMaterials
- Topic 5.7 Second Derivative and Graph BehaviourMaterials
- Topic 5.8 Extrema, Optimization, and Points of InflexionMaterials
- Topic 5.9 Kinematics with CalculusMaterials
- Topic 5.10 Advanced Indefinite IntegrationMaterials
- Topic 5.11 Definite Integrals and AreasMaterials
- Topic 5.12 Continuity, Differentiability, First Principles, and Higher Derivatives (HL only)Materials
- Topic 5.13 L'Hopital's Rule and Maclaurin Limits (HL only)Materials
- Topic 5.14 Implicit Differentiation, Related Rates, and Optimization (HL only)Materials
- Topic 5.15 Further Derivatives and Integrals (HL only)Materials
- Topic 5.16 Integration by Substitution and Parts (HL only)Materials
- Topic 5.17 Areas with y-axis and Volumes of Revolution (HL only)Materials
- Topic 5.18 First Order Differential Equations (HL only)Materials
- Topic 5.19 Maclaurin Series (HL only)Materials
Past papers and exam practice
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