Cambridge IGCSE · AS & A Levels · South African CAPS FET · American Common Core — personalised 1-on-1 tutoring that gets results.
Comprehensive topic coverage with worked examples and concept summaries for each stream.
Straight lines, parabolas, hyperbolas, exponentials and their inverses. Transformations, asymptotes, and domain/range.
Arithmetic and geometric sequences, sigma notation, sum formulas, and convergence of infinite series.
Simple and compound interest, depreciation, nominal and effective rates, future value annuities.
Factorisation, surds, exponents, logarithms, simultaneous equations, inequalities, and nature of roots.
Limits, differentiation from first principles, rules of differentiation, curve sketching, optimisation, and rates of change.
Venn diagrams, tree diagrams, mutually exclusive and complementary events, counting principles.
Circle theorems, similar & congruent triangles, proportionality theorem, areas and volumes.
Distance, midpoint, gradient, equations of circles and tangents, and locus problems.
General solutions, compound & double angles, trig graphs, 2D & 3D applications.
Histograms, ogives, measures of central tendency and dispersion, box-and-whisker, regression and correlation.
Integers, fractions, decimals, percentages, powers, surds, standard form, ratio, proportion, and rates.
Expressions, equations, inequalities, simultaneous equations, sequences, and algebraic manipulation.
Domain, range, function notation, composite and inverse functions, and their graphical representations.
Straight lines, gradient, distance, midpoints, and equation of a line in various forms.
Angles, polygons, similarity, congruence, circle properties, and geometric proofs.
Perimeter, area, surface area and volume of 2D and 3D shapes including sectors, cones, and spheres.
Right-angled and non-right-angled triangles, sine and cosine rules, bearings.
Reflections, rotations, translations, enlargements, column vectors, and magnitude.
Single and combined events, tree diagrams, Venn diagrams, and conditional probability.
Data collection, averages, spread, cumulative frequency, histograms, and scatter diagrams.
Quadratics, functions, coordinate geometry, circular measure, trigonometry, series, differentiation, integration.
Algebra, logarithms, trigonometry, differentiation, integration, numerical methods, and vectors.
Polynomials, complex numbers, differential equations, vectors, and further integration techniques.
Forces, equilibrium, kinematics, Newton's laws, momentum, energy, work and power.
Data representation, probability, discrete distributions, Binomial and Normal distributions, hypothesis testing basics.
Continuous distributions, Poisson distribution, sampling, further hypothesis testing, and inference.
Linear equations and inequalities, systems of equations, polynomial operations, quadratics, and functions.
Congruence, similarity, right triangles, trigonometry, circles, coordinate geometry, and geometric proofs.
Polynomials, rational functions, exponential and logarithmic functions, sequences, series, and probability.
Trigonometric functions and identities, vectors, polar coordinates, conic sections, limits.
Limits, derivatives, applications of differentiation, definite and indefinite integrals, Fundamental Theorem of Calculus.
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Past-paper practice, marking schemes, and exam technique built into every session for maximum marks.
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Students consistently improve grades across all four curricula after engaging with Math4u2 tutoring.
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