Course pathway
Year 12 Mathematics Advanced
Year 12 Mathematics Advanced now includes 89 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 89 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
12
Active lessons
89
Lesson flow
Learn -> Guided Practice -> Independent Practice -> Mastery Quiz
Unit
ActiveDifferential Calculus
12 active lessons
Derivatives, tangent gradients, stationary points, curve sketching, optimisation, and rates of change.
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Unit
ActiveDifferentiation Techniques
5 active lessons
Standard derivatives, chain rule, product rule, quotient rule, tangents, normals, rates and stationary point applications.
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Unit
ActiveApplications of Differentiation
6 active lessons
Second derivative, concavity, inflection points, curve sketching, optimisation, kinematics and motion applications.
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Unit
ActiveIntegral Calculus
10 active lessons
Antidifferentiation, definite integrals, area, the Trapezoidal rule, total change, and applications.
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Unit
ActiveFurther Integral Calculus
6 active lessons
Standard trigonometric, exponential and logarithmic integrals, reverse chain rule, definite integrals, trapezoidal rule and area between curves.
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Unit
ActiveFunctions and Graphing Techniques
11 active lessons
Function notation, domain and range, transformations, graph features, asymptotes, exponential/logarithmic graphs, absolute value functions, inverse functions, graphical solving, and modelling.
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Unit
ActiveTrigonometric Functions and Graphs
7 active lessons
Radians, exact values, the unit circle, sine, cosine, tangent graphs, equations, identities, and modelling.
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Unit
ActiveFurther Trigonometry
5 active lessons
Compound angle formulas, double angle formulas, exact values, identity simplification and further trigonometric equations.
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Unit
ActiveExponential and Logarithmic Functions
5 active lessons
Logarithm laws, change of base, Euler's number, natural logarithms, equations with e and ln, and continuous growth and decay modelling.
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Unit
ActiveSequences, Series and Financial Mathematics
5 active lessons
Arithmetic and geometric sequences and series, sigma notation, limiting sums, and financial applications involving compound interest, depreciation and annuities.
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Unit
ActiveFinancial Mathematics
10 active lessons
Growth factors, sequences, series, compound interest, depreciation, recurrence relations, annuities, loans, and financial decision-making.
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Unit
ActiveStatistical Analysis
7 active lessons
Data displays, summary statistics, outliers, standard deviation, z-scores, correlation, regression, normal distributions, and random variables.
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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.