IB Mathematics AA SL & HL Resource Bank
All IB Math Analysis & Approaches SL & HL syllabus units, curated formulas, study guides & practice links. Click a topic below!
Unit 1: Number & Algebra
Sequences & Series
Arithmetic, Geometric, Sigma Notation, Interest
Counting Principles
Permutations, Combinations, Product/Sum Principle
Binomial Theorem
Binomial Expansions, nCr, Pascal’s Triangle
Exponents & Logs
Exponent Laws, Log Laws, Equations
Complex Numbers
Roots, Argand Diagram, De Moivre's Theorem
Systems of Equations
Linear, Unique/Infinite Solutions, Row Operations
Proofs
Induction, Contradiction, Counterexample
Unit 2: Functions
Properties of Functions
Domain, Range, Composite/Inverses
Quadratics
Vertex, Discriminant, Roots, Applications
Rational Functions
Asymptotes, Holes, Transformations
Exponent-Log Functions
Exponential, Logarithmic, Graphs
Transformations
Translations, Reflections, Dilations
Polynomials
Roots, Factoring, Remainder/Fundamental Theorem
Modulus & Inequalities
Absolute Value, Inequalities, Graphs
Unit 3: Geometry & Trigonometry
Unit 4: Statistics & Probability
Unit 5: Calculus
Differential Calculus
Derivatives, Rules, Applications, Tangents, Stationary
Integral Calculus
Integration, Definite/Indefinite, Area, Volume
Kinematics
Displacement, Velocity, Acceleration, Graphs
Differential Equations
Separable, Homogeneous, Euler, Modelling
Maclaurin Series
eˣ, sin x, cos x, ln(1+x), binomial, convergence