Course pathway
Year 12 Mathematics Advanced
Year 12 Mathematics Advanced now includes 94 active lessons across functions, trigonometry, exponential and logarithmic functions, calculus, statistics, sequences, series and financial mathematics. Ongoing refinements and visual supports are being added.
Year 12 Mathematics Advanced now includes 94 active lessons across functions, trigonometry, exponential and logarithmic functions, calculus, statistics, sequences, series and financial mathematics. Ongoing refinements and visual supports are being added.
Units
14
Active lessons
94
Lesson flow
Learn -> Guided Practice -> Independent Practice -> Mastery Quiz
Unit
ActiveWorking with Functions
7 active lessons
Functions, domain and range, function notation, graph transformations, solving equations graphically, and modelling with functions.
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Unit
ActiveGraphing Techniques
4 active lessons
Reciprocal and asymptotic graphs, exponential and logarithmic graphs, absolute value functions, and inverse functions.
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Unit
ActiveTrigonometry and Measure of Angles
1 active lessons
Angle measurement in radians, the unit circle, exact trigonometric values, and arc length and sector area.
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Unit
ActiveTrigonometric Functions and Identities
9 active lessons
Graphs of sine, cosine, and tangent; amplitude and period transformations; Pythagorean identity; compound and double angle formulas; and modelling periodic phenomena.
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Unit
ActiveTrigonometric Equations
2 active lessons
Solving trigonometric equations using compound and double angle formulas and identities.
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Unit
ActiveIntroduction to Differentiation
7 active lessons
Limits, derivatives as rates of change, differentiating polynomials using the power rule, tangents and normals, stationary points, and increasing and decreasing functions.
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Unit
ActiveDifferential Calculus
5 active lessons
Differentiating trigonometric, exponential, and logarithmic functions; the chain rule, product rule, and quotient rule.
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Unit
ActiveApplications of Differentiation
11 active lessons
The second derivative, concavity, inflection points, curve sketching, optimisation problems, and kinematics.
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Unit
ActiveIntegral Calculus
16 active lessons
Antidifferentiation, indefinite and definite integrals, the fundamental theorem of calculus, area under and between curves, the trapezoidal rule, and further integration techniques.
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Unit
ActiveExponential and Logarithmic Functions
5 active lessons
Logarithm laws, change of base, Euler's number, natural logarithms, solving equations with e and ln, and exponential growth and decay modelling.
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Unit
ActiveProbability and Discrete Probability Distributions (Year 11 Assumed Knowledge)
6 active lessons
Revision of MA-S1 probability, simulation, random variables and discrete probability distributions assumed from Year 11.
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Unit
ActiveDescriptive Statistics and Bivariate Data Analysis
6 active lessons
Data displays, measures of centre and spread, z-scores, correlation, least-squares regression, and interpreting bivariate data.
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Unit
ActiveRandom Variables
4 active lessons
Continuous random variables, probability density and cumulative distribution functions, percentiles, and normal-distribution probabilities and quantiles.
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Unit
ActiveModelling Financial Situations
11 active lessons
Arithmetic and geometric sequences and series, limiting sums, compound interest, depreciation, recurrence relations, annuities, loans, and financial decision-making.
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Year 12 Advanced diagnostic and lessons
The diagnostic and report workflow is specific to Year 12 Mathematics Advanced. Unit previews are public, while individual lessons require online learning access.