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Paper 1
AA: no calculator. AI: GDC required.
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01Number and Algebra
- SL 1.1—Using standard formHL / SLFree forever
- SL 1.2—Arithmetic sequences and seriesHL / SLFree forever
- SL 1.3—Geometric sequences and seriesHL / SL
- SL 1.4—Financial apps – compound interest, annual depreciationHL / SL
- SL 1.5—Intro to logsHL / SL
- SL 1.6—Simple proofHL / SL
- SL 1.7—Laws of exponents and logsHL / SL
- SL 1.8—Sum of infinite geo sequenceHL / SL
- SL 1.9—Binomial theorem where n is an integerHL / SL
- AHL 1.10—Perms and combs, binomial with negative and fractional indicesHL
- AHL 1.11—Partial fractionsHL
- AHL 1.12—Complex numbers – Cartesian form and Argand diagHL
- AHL 1.13—Polar and Euler formHL
- AHL 1.14—Complex roots of polynomials, conjugate roots, De Moivre’s, powers & roots of complex numbersHL
- AHL 1.15—Proof by induction, contradiction, counterexamplesHL
- AHL 1.16—Solution of systems of linear equationsHL
02Functions
- SL 2.1—Equations of straight lines, parallel and perpendicularHL / SL
- SL 2.2—Functions, notation domain, range and inverse as reflectionHL / SL
- SL 2.3—GraphingHL / SL
- SL 2.4—Key features of graphs, intersections using technologyHL / SL
- SL 2.5—Composite functions, identity, finding inverseHL / SL
- SL 2.6—Quadratic functionHL / SL
- SL 2.7—Solutions of quadratic equations and inequalities, discriminant and nature of rootsHL / SL
- SL 2.8—Reciprocal and simple rational functions, equations of asymptotesHL / SL
- SL 2.9—Exponential and logarithmic functionsHL / SL
- SL 2.10—Solving equations graphically and analyticallyHL / SL
- SL 2.11—Transformation of functionsHL / SL
- AHL 2.12—Factor and remainder theorems, sum and product of rootsHL
- AHL 2.13—Rational functionsHL
- AHL 2.14—Odd and even functions, self-inverse, inverse and domain restrictionHL
- AHL 2.15—Solutions of inequalitiesHL
- AHL 2.16—Graphing modulus equations and inequalitiesHL
03Geometry & Trigonometry
- SL 3.1—3d space, volume, angles, distance, midpointsHL / SL
- SL 3.2—2d and 3d trig, sine rule, cosine rule, areaHL / SL
- SL 3.3—Angles of elevation and depression, bearingsHL / SL
- SL 3.4—Circle, radians, arcs, sectorsHL / SL
- SL 3.5—Unit circle definitions of sin, cos, tan. Exact trig ratios, ambiguous case of sine ruleOpen in Library ↗HL / SL
- SL 3.6—Pythagorean identity, double anglesHL / SL
- SL 3.7—Circular functions, graphs, composites, transformationsHL / SL
- SL 3.8—Solving trig equationsHL / SL
- AHL 3.9—Reciprocal trig ratios and their pythagorean identities. Inverse circular functionsHL
- AHL 3.10—Compound angle identitiesHL
- AHL 3.11—Relationships between trig functionsHL
- AHL 3.12—Vector definitionsHL
- AHL 3.13—Scalar (dot) productHL
- AHL 3.14—Vector equation of lineHL
- AHL 3.15—Classification of linesHL
- AHL 3.16—Vector productHL
- AHL 3.17—Vector equations of a planeHL
- AHL 3.18—Intersections of lines & planesHL
04Statistics & Probability
- SL 4.1—Concepts, reliability and sampling techniquesHL / SL
- SL 4.2—Histograms, CF graphs, box plotsHL / SL
- SL 4.3—Mean, median, mode. Mean of grouped data, standard deviation. Quartiles, IQROpen in Library ↗HL / SL
- SL 4.4—Pearsons, scatter diagrams, eqn of y on xHL / SL
- SL 4.5—Probability concepts, expected numbersHL / SL
- SL 4.6—Combined, mutually exclusive, conditional, independence, prob diagramsHL / SL
- SL 4.7—Discrete random variablesHL / SL
- SL 4.8—Binomial distributionHL / SL
- SL 4.9—Normal distribution and calculationsHL / SL
- SL 4.10—X on y regression lineHL / SL
- SL 4.11—Conditional and independent probabilities, test for independenceHL / SL
- SL 4.12—Z values, inverse normal to find mean and standard deviationHL / SL
- AHL 4.13—Bayes theoremHL
- AHL 4.14—Properties of discrete and continuous random variablesHL
05Calculus
- SL 5.1—Introduction of differential calculusHL / SL
- SL 5.2—Increasing and decreasing functionsHL / SL
- SL 5.3—Differentiating polynomials, n E ZHL / SL
- SL 5.4—Tangents and normalHL / SL
- SL 5.5—Integration introduction, areas between curve and x axisHL / SL
- SL 5.6—Differentiating polynomials n E Q. Chain, product and quotient rulesHL / SL
- SL 5.7—The second derivativeHL / SL
- SL 5.8—Testing for max and min, optimisation. Points of inflexionHL / SL
- SL 5.9—Kinematics problemsHL / SL
- SL 5.10—Indefinite integration, reverse chain, by substitutionHL / SL
- SL 5.11—Definite integrals, areas under curve onto x-axis and areas between curvesHL / SL
- AHL 5.12—First principles, higher derivativesHL
- AHL 5.13—Limits and L’HopitalsHL
- AHL 5.14—Implicit functions, related rates, optimisationHL
- AHL 5.15—Further derivatives and indefinite integration of these, partial fractionsHL
- AHL 5.16—Integration by substitution, parts and repeated partsHL
- AHL 5.17—Areas under curve onto y-axis, volume of revolution (about x and y axes)HL
- AHL 5.18—1st order DE’s – Euler method, variables separable, integrating factor, homogeneous DE using sub y=vxHL
- AHL 5.19—Maclaurin seriesHL
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.