Year 11 Mathematics Advanced
Year 11 Mathematics Advanced foundations for students preparing for senior assessment and future HSC Advanced study.
Units
17
Active lessons
126
Course type
Mathematics Advanced
Active unit
AvailableWorking with Functions
16 active lessons
Function notation, domain, range, roots, intercepts, linear, quadratic, cubic, polynomial, and reciprocal graph features.
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AvailableGraph Transformations
5 active lessons
Transformations, composite functions, polynomial and reciprocal graph transformations, and exam-style graphing questions.
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AvailableTrigonometry and Measure of Angles
15 active lessons
Radians, exact trigonometric values, the unit circle, trigonometric graphs, and angle-measure practice.
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AvailableTrigonometric Identities and Equations
9 active lessons
Trigonometric equations, identities, simplification, and exam-style trigonometry practice.
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AvailableExponential and Logarithmic Functions
6 active lessons
Index laws, logarithms, equations, modelling, and mixed exponential/logarithmic practice.
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AvailableIntroduction to Differentiation
11 active lessons
Rates of change, first principles, polynomial derivatives, tangents, normals, and applications.
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AvailableProbability and Data
7 active lessons
Data displays, probability, relative frequency, random variables, expected value, and spread.
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Active unit
AvailableSequences and Series
5 active lessons
Arithmetic and geometric sequences, series, sigma notation, and limiting sums of geometric series.
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AvailableIntegration
8 active lessons
Antidifferentiation, definite integrals, the Fundamental Theorem of Calculus, areas under and between curves, the reverse chain rule, and the trapezoidal rule.
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Active unit
AvailableCurve Sketching
7 active lessons
Use first and second derivatives to locate stationary points, classify them, determine concavity and inflection, and produce complete curve sketches. Includes reading derivative graphs and applied optimisation.
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AvailableExponential and Logarithmic Calculus
6 active lessons
Differentiate eˣ and ln x using the chain rule, integrate e^(ax) and 1/x, and apply these results to curve analysis and area calculations.
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AvailableTrigonometric Calculus
6 active lessons
Differentiate sin x, cos x and tan x, integrate sin x and cos x, apply the chain rule to composite trig functions, and use these results to find areas and analyse trig curves.
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AvailableMotion and Rates of Change
5 active lessons
Apply calculus to straight-line motion: find velocity and acceleration by differentiation, recover displacement by integration, analyse direction changes and total distance, and model practical rates of change.
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AvailableSeries and Financial Mathematics
5 active lessons
Apply geometric sequences and series to compound interest, superannuation and loan repayments using recursive formulas and the future/present value of annuity formulas.
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AvailableGraphs and Equations
5 active lessons
Apply the factor and remainder theorems to polynomials, use Vieta's formulas for sum and product of roots, sketch polynomial graphs from factored form, and solve non-linear simultaneous equations.
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Active unit
AvailableBivariate Data Analysis
5 active lessons
Scatter plots and correlation, lines of best fit, interpolation and extrapolation, data transformations to linearise non-linear relationships, and exam practice.
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Active unit
AvailableContinuous Probability Distributions
5 active lessons
Continuous random variables, probability density functions, normal distribution properties, z-scores, and using the standard normal table.
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Part of online learning access
Unit overviews are public previews. Individual lessons use the same online learning access gate as the existing Year 12 Advanced course.