HL / SL
Paper 1
AA: no calculator. AI: GDC required.
Skip to contentHL / SL How the exam is
The whole path, before you pay.
01Number and Algebra
- SL 1.1—Using standard formHL / SLFree forever
- SL 1.2—Sequences and Sigma NotationHL / SLFree forever
- SL 1.3—Geometric SequencesHL / SL
- SL 1.4—Financial apps – compound interest, annual depreciationHL / SL
- SL 1.5—Exponents and LogarithmsHL / SL
- SL 1.6—Approximating and estimatingHL / SL
- SL 1.7—Loan repayments and amortizationHL / SL
- SL 1.8—Use of technology to solve systems of linear equations and polynomial equationsHL / SL
- AHL 1.9—Log lawsHL
- AHL 1.10—Expressions with non-integer exponentsHL
- AHL 1.11—Sum of infinite geometric sequencesHL
- AHL 1.12—Complex numbers introductionHL
- AHL 1.13—Complex numbers continuedHL
- AHL 1.14—Introduction to matricesHL
- AHL 1.15—Eigenvalues and eigenvectorsHL
02Functions
- SL 2.1—Equations of a lineHL / SL
- SL 2.2—Functions, domains, range, graphsHL / SL
- SL 2.3—Graph of a functionHL / SL
- SL 2.4—Features of a graphHL / SL
- SL 2.5—Modelling functionsHL / SL
- SL 2.6—Modelling skillsHL / SL
- AHL 2.7—Composite functions, finding inverse function incl domain restrictionHL
- AHL 2.8—Transformations of graphs, composite transformationsHL
- AHL 2.9—HL modelling functionsHL
- AHL 2.10—Scaling large numbers, log-log graphsHL
03Geometry and Trigonometry
- SL 3.1—3d space, volume, angles, midpointsHL / SL
- SL 3.2—2d and 3d trigHL / SL
- SL 3.3—Angles of elevation and depressionHL / SL
- SL 3.4—The circle, arc and area of sector, degrees onlyHL / SL
- SL 3.5—Intersection of lines, equations of perpendicular bisectorsHL / SL
- SL 3.6—Voronoi diagramsHL / SL
- AHL 3.7—RadiansHL
- AHL 3.8—Unit circle, Pythag identity, solving trig equations graphicallyHL
- AHL 3.9—Matrix transformationsHL
- AHL 3.10—Vector definitionsHL
- AHL 3.11—Vector equation of a line in 2d and 3dHL
- AHL 3.12—Vector applications to kinematicsHL
- AHL 3.13—Scalar and vector productsHL
- AHL 3.14—Graph theoryHL
- AHL 3.15—Adjacency matrices and tablesHL
- AHL 3.16—Tree and cycle algorithms, Chinese postman, travelling salesmanHL
04Statistics and Probability
- SL 4.1—Introduction to StatisticsOpen in Library ↗HL / SL
- SL 4.2—Presentation of dataHL / SL
- SL 4.3—Mean, median, and modeHL / SL
- SL 4.4—Correlation of DataHL / SL
- SL 4.5—Trial and outcomeHL / SL
- SL 4.6—Venn diagramsHL / SL
- SL 4.7—Discrete random variablesHL / SL
- SL 4.8—Binomial distributionHL / SL
- SL 4.9—Normal distributionHL / SL
- SL 4.10—Spearman’s rank correlation coefficientHL / SL
- SL 4.11—Expected, observed, hypotheses, chi squared, gof, t-testHL / SL
- AHL 4.12—Data collection, reliability and validity testsHL
- AHL 4.13—Non-linear regressionHL
- AHL 4.14—Linear transformation of a single RV, E(X) and VAR(X), unbiased estimatorsHL
- AHL 4.15—Central limit theoremHL
- AHL 4.16—Confidence intervalsHL
- AHL 4.17—Poisson distributionHL
- AHL 4.18—T and Z test, type I and II errorsHL
- AHL 4.19—Transition matrices – Markov chainsHL
05Calculus
- SL 5.1—Introduction to LimitsHL / SL
- SL 5.2—Increasing and decreasing functionsHL / SL
- SL 5.3—Introduction to derivativesHL / SL
- SL 5.4—Tangents and normalsHL / SL
- SL 5.5—Introduction to integrationHL / SL
- SL 5.6—Stationary points, local max and minHL / SL
- SL 5.7—OptimisationHL / SL
- SL 5.8—Trapezoid ruleHL / SL
- AHL 5.9—Differentiating standard functions and derivative rulesHL
- AHL 5.10—Second derivatives, testing for max and minHL
- AHL 5.11—Indefinite integration, reverse chain, by substitutionHL
- AHL 5.12—Areas under a curve onto x or y axis. Volumes of revolution about x and yHL
- AHL 5.13—Kinematic problemsHL
- AHL 5.14—Setting up a DE, solve by separating variablesHL
- AHL 5.15—Slope fieldsHL
- AHL 5.16—Eulers method for 1st order DEsHL
- AHL 5.17—Phase portraitHL
- AHL 5.18—Eulers method for 2nd order DEsHL
How the exam is
actually built.
HL / SL
Paper 2 (GDC)
GDC required.
HL
Paper 3 (HL only)
Two extended problem-solving / modelling questions. GDC required. HL only.