ExaminerPrep › IB Maths AA › Notes
IB Diploma Mathematics · Analysis and Approaches · SL and HL
IB Maths AA notes
83 short notes, one for each part of the course: key ideas, formulas, worked examples, common errors and quick questions to check yourself.
Topic 1 · Number and algebra
1.1 · SL and HL
Standard form
Read →1.2 · SL and HLArithmetic sequences and series
Read →1.3 · SL and HLGeometric sequences and series
Read →1.4 · SL and HLFinancial applications
Read →1.5 · SL and HLExponents and introduction to logarithms
Read →1.6 · SL and HLDeductive proof
Read →1.7 · SL and HLRational exponents and laws of logarithms
Read →1.8 · SL and HLInfinite geometric series
Read →1.9 · SL and HLThe binomial theorem
Read →1.10 · HL onlyCounting principles and the extended binomial theorem
Read →1.11 · HL onlyPartial fractions
Read →1.12 · HL onlyComplex numbers in Cartesian form
Read →1.13 · HL onlyPolar and Euler forms
Read →1.14 · HL onlyConjugate roots, De Moivre’s theorem, powers and roots
Read →1.15 · HL onlyProof by induction, contradiction and counterexample
Read →1.16 · HL onlySystems of linear equations
Read →Topic 2 · Functions
2.1 · SL and HL
Equations of straight lines, parallel and perpendicular lines
Read →2.2 · SL and HLFunctions, domain, range and inverse functions
Read →2.3 · SL and HLGraphs of functions and sketching from a context
Read →2.4 · SL and HLKey features of graphs and intersections using technology
Read →2.5 · SL and HLComposite functions and inverse functions
Read →2.6 · SL and HLThe quadratic function and its forms
Read →2.7 · SL and HLQuadratic equations, inequalities and the discriminant
Read →2.8 · SL and HLThe reciprocal function and rational functions
Read →2.9 · SL and HLExponential and logarithmic functions
Read →2.10 · SL and HLSolving equations graphically and analytically
Read →2.11 · SL and HLTransformations of graphs
Read →2.12 · HL onlyPolynomial functions, factor and remainder theorems, sum and product of roots
Read →2.13 · HL onlyRational functions with oblique and horizontal asymptotes
Read →2.14 · HL onlyOdd and even functions, inverse and self-inverse functions
Read →2.15 · HL onlySolving inequalities g(x) ≥ f(x)
Read →2.16 · HL onlyModulus, reciprocal and other graph transformations
Read →Topic 3 · Geometry and trigonometry
3.1 · SL and HL
Three-dimensional geometry: distance, solids and angles
Read →3.2 · SL and HLRight-angled and non-right-angled triangles
Read →3.3 · SL and HLApplications of trigonometry: elevation, depression and bearings
Read →3.4 · SL and HLRadians, arc length and sector area
Read →3.5 · SL and HLThe unit circle, exact values and the ambiguous case
Read →3.6 · SL and HLPythagorean and double angle identities
Read →3.7 · SL and HLCircular functions and their transformations
Read →3.8 · SL and HLSolving trigonometric equations
Read →3.9 · HL onlyReciprocal and inverse trigonometric functions
Read →3.10 · HL onlyCompound and double angle identities
Read →3.11 · HL onlySymmetry properties of trigonometric graphs
Read →3.12 · HL onlyVectors: concepts and algebra
Read →3.13 · HL onlyScalar product
Read →3.14 · HL onlyVector equation of a line
Read →3.15 · HL onlyIntersecting, parallel and skew lines
Read →3.16 · HL onlyVector product
Read →3.17 · HL onlyEquations of a plane
Read →3.18 · HL onlyIntersections and angles of lines and planes
Read →Topic 4 · Statistics and probability
4.1 · SL and HL
Sampling, bias and outliers
Read →4.2 · SL and HLPresentation of data
Read →4.3 · SL and HLMeasures of central tendency and dispersion
Read →4.4 · SL and HLCorrelation and regression of y on x
Read →4.5 · SL and HLSample spaces and probability
Read →4.6 · SL and HLCombined, conditional and independent events
Read →4.7 · SL and HLDiscrete random variables
Read →4.8 · SL and HLBinomial distribution
Read →4.9 · SL and HLThe normal distribution
Read →4.10 · SL and HLRegression line of x on y
Read →4.11 · SL and HLConditional probability and independence
Read →4.12 · SL and HLStandardization and unknown normal parameters
Read →4.13 · HL onlyBayes’ theorem
Read →4.14 · HL onlyVariance, continuous random variables and linear transformations
Read →Topic 5 · Calculus
5.1 · SL and HL