IB Math: Analysis & Approaches
Your modern toolkit for mastering IB Math AA — clear study guides, interactive tools, and topic-by-topic resources for SL and HL.
Number & Algebra
Core algebra, sequences, logs, counting, complex numbers, proofs, and systems.
Sequences & Series
Arithmetic/Geometric, Sigma Notation, Applications, Compound Interest…
Open Study →Binomial Theorem
Binomial Expansion & Theorem, Pascal's Triangle, Binomial Coefficient nCr…
Open Study →Counting Principles
Permutations & Combinations, Factorial Notation, Product/Sum Principles…
Open Study →Complex Numbers
Forms, Roots, De Moivre's Theorem, Argand Diagram, Geometric Applications…
Open Study →Systems of Equations
Solving 3×3 Systems, Row Operations, Unique/No/Infinite Solutions…
Open Study →Functions
Function properties, transformations, families, and modeling.
Properties of Functions
Domain & Range, Composite, Inverse, Max–Min, Intercepts, Intersections, Sketching…
Open Study →Quadratics
Quadratic Functions & Equations, Completing the Square, Discriminant, Vertex…
Open Study →Exponential & Log Functions
Exponential & Logarithmic Functions & Graphs, Asymptotes, Intercepts…
Open Study →Transformations
Translations, Reflections, Stretches, Graphs, Composite Transformations…
Open Study →Polynomials
Factor & Remainder Theorems, Sum & Product of Roots, Zeros, Roots, Factors…
Open Study →Modulus & Inequalities
Absolute-Value/Modulus Functions, Solving Equations & Inequalities…
Open Study →Geometry & Trigonometry
2D/3D geometry, circular functions, and vectors.
Geometry & Shapes
Geometry of 2D & 3D Shapes, Circles, Sectors, Arcs, Triangle Trig, Sine & Cosine Rule, Areas, Bearings…
Open Study →Trigonometric Functions
Circular Functions, Unit Circle, Trig Ratios & Identities, Solving Trig Equations, Trig Graphs…
Open Study →Vectors
Basics, Lines, Planes, Space, Angles, Intersections, Scalar/Vector Product, Applications…
Open Study →Statistics & Probability
Data analysis, regression, probability, and distributions.
Statistics
Mean–Median–Mode, Variance, Standard Dev., IQR, Stem/Box Plot, Cumulative Frequency…
Open Study →Bivariate Statistics
Regression Line y=ax+b, Correlation Coefficient r, Strength, Applications…
Open Study →Probability
Basics, Venn & Tree Diagrams, Combined Events, Independent/Mutually Exclusive, Conditional…
Open Study →Distributions
Probability Distributions, Binomial & Normal, Random Variables, Applications…
Open Study →Calculus
Differentiation, integration, motion, DEs, and series.
Differential Calculus
Differentiation Rules, Curve Properties, Optimization, Related Rates, Limits, L'Hôpital's Rule…
Open Study →Integral Calculus
Integration Techniques, Areas Under/Between Curves, Volumes of Solids, Applications…
Open Study →Kinematics
Displacement, Velocity, Acceleration, Total Distance Traveled, Graphs, GDC Applications…
Open Study →Differential Equations
First-Order DEs, Euler's Method, Separable, Homogeneous, Integrating Factor, Applications…
Open Study →Maclaurin Series
Common Expansions, Substitution, Products, Integration/Differentiation, Differential Equations…
Open Study →📚 About This Course
IB Mathematics: Analysis & Approaches (AA) is a rigorous course focused on deep analytical problem-solving. It emphasizes strong algebraic reasoning, mathematical modeling, and formal proof. Both Standard Level (SL) and Higher Level (HL) build a strong foundation in core topics, with HL extending the depth and complexity to prepare for advanced STEM studies.
This toolkit is designed for efficient study and revision. Navigate through the topics to find clear notes on key skills like calculus and the use of technology. Each card links directly to a focused study guide, helping you to master concepts and practice effectively for your exams.
🛠️ Useful Tools & Resources
May 2026 IB Exam Schedule
View and plan for the official May 2026 IB examination dates.
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