Prepare for IB Math (SL & HL) with Prep Zone Academy


Work with Prep Zone Academy’s certified trainers to improve your IB Math scores! Our math trainers are PhD degree holders with years of teaching experience.

We offer both individual and group course for IB Math (SL & HL). The group batches are run on an ad hoc basis, around school exams. The individual lessons are completely customisable and can be booked based on your schedule!

Contact us today for a free individual trial session!

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Course Curriculum

This curriculum will be customised depends on the student’s needs.

Standard Level Curriculum

Session TopicsSubtopics
1FunctionsFunction notation, composite/inverse functions, function transformations
Quadratic functionsSolving quadratic functions, quadratic roots, quadratic graphs
Exponential and logarithmic functionsSolving exponential equations, exponential functions, laws of logarithms and their functions/equations
Rational functionsReciprocals and their functions, rational functions
Patterns and SequencesSigma notation and series, arithmetic/geometric series, convergent series and sums to infinity
2ProbabilityVenn diagrams, sample space diagrams and product rule, conditional probability, probability tree diagrams
Descriptive statisticsUnivariate analysis, histograms, measures of central tendency/dispersion, cumulative frequency, variance, standard deviation
Bivariate analysisScatter diagrams, line of best fit, least squares regression, measuring correlation
Probability distributionsRandom variables, binomial and normal distributions
3TrigonometryRight-angled triangle trigonometry, sine and cosine rule, area of a triangle, radians, arcs, sectors
VectorsVector addition/subtraction, scalar product, vector equation of a line
Circular functionsThe unit circle, trigonometric identities, graphing circular functions, translation and scaling of trigonometric functions, combined transformations with sine and cosine functions
4Limits and derivativesLimits and convergence, tangent line, derivatives of polynomials and more, chain rule and higher order derivatives, rates of change and motion in a line, derivative and graphing, extrema and optimisation
IntegrationAntiderivatives, indefinite and definite integrals, fundamental theorem of Calculus, volume of revolution
Trigonometric calculus Derivatives of trigonometric functions, integrals of sine and cosine

Higher Level Curriculum

HL Math students are required to study everything in the core curriculum and one topic under the option curriculum.

Session TopicsSubtopics
1aPatterns and SequencesSigma notation and series, arithmetic/geometric series, mathematical induction
Exponents and logarithmsLaw of exponents/logarithms, change of base
Counting principlesPermutations and combinations, binomial theorem
1bComplex numbersOperations with complex numbers, cartesian/polar form, complex plane, powers of complex numbers, complex roots, solving systems of equations
FunctionsFunction notation, odd/even functions, inverse/composite functions, one-to-one/many-to-one functions, graphs of functions, transformations of graphs, rational/exponential/logarithmic functions, polynomial functions and their graphs, factor and remainder theorems, fundamental theorem of algebra, solving quadratic equations, solving inequalities of functions
2 StatisticsPopulation, sample, random sample, frequency distribution of discrete/continuous data, grouped data, mean, variance, standard deviation
ProbabilityVenn diagrams, combined/mutually-exclusive events, conditional probability, independent events, Bayes’ theorem, probability distributions, probability density functions, mean/mode/median/variance/standard deviation, binomial/poisson/normal distributions
3TrigonometryRadian, arc length, sector area, the unit circle and trigonometric identities, special angles, Pythagorean identities, compound angle identities, double angle identities, cosine rule
Trigonometric functionsTrigonometric composite/inverse functions, solving trigonometric equations
VectorsVector addition/subtraction, scalar/vector product, vector equation of a line/plane, intersections of lines and planes
4Limits and derivativesLimits, continuity and convergence, derivative of a function, tangents and normals, higher order derivatives, derivatives of different functions, product/quotient rules, chain rules for composite functions, related rates of change, implicit differentiation, maxima and minima, optimisation, relationship between derivatives
IntegrationAntiderivatives, indefinite and definite integrals, area of regions enclosed by curves, volume of revolution, kinematics, integration by substitution/parts

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