IB Maths Revision Checklist

Unit 1 · Number & Algebra

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Simple interest and compound interestGeometric sequences and seriesFinancial mathematics (loans, annuities, depreciation)Scientific notation, approximations and boundsPercentage error and estimationSolving systems of linear equations (up to 3×3)Exponentials and logarithms (base 10 and base e)Number patterns and predictions

Unit 2 · Functions

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Function fundamentals (domain, range, notation)Graphing linear and quadratic functionsGraphing exponential and logarithmic functionsPiecewise, cubic and other polynomial modelsTrigonometric (sinusoidal) modellingReal-world applications of functionsSolving equations graphically (CG50)

Unit 3 · Geometry & Trigonometry

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Coordinate geometry: distance, midpointEquations of straight linesVoronoi diagrams and toxic-waste problemsRight-angled trigonometry (SOHCAHTOA)Non-right triangles: sine rule + cosine rule3D geometry: surface area and volume of solidsAngles of elevation and depression

Unit 4 · Statistics & Probability

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Sampling techniques and biasDescriptive statistics (mean, median, mode, spread)Cumulative frequency, quartiles, IQRBivariate data: scatter, correlation rLinear regression and predictionsProbability rules and Venn diagramsIndependent and conditional probabilityDiscrete and normal distributions (CG50)χ² tests for independence and goodness of fit

Unit 5 · Calculus

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Introduction to limits and rates of changeDifferentiation from first principles (informal)Power rule (positive integer powers)Tangents and normalsLocal max/min and optimisationIntegration as reverse of differentiationDefinite integrals and area under curves (CG50)Trapezoidal rule for approximations

Missing something? Let us know — we update the checklist as the IB refines the guides.