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Lessons in Mathematics Advanced, Year 12

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Mathematics Advanced — Years 11–12 · Year 12

23 lessons in this selection

Learning Map for Mathematics Advanced — Years 11–12 · Year 12 43 concepts · 12 topics · builds on 30 concepts from earlier years

  1. Stage 6 · Year 12

    1. Further graph transformations and modelling:
      5 of 5 concepts with lesson material
    2. Differentiation yr12:
      2 of 5 concepts with lesson material
    3. Differential calculus:
      2 of 2 concepts with lesson material
    4. Integration:
      3 of 5 concepts with lesson material
    5. Integral calculus:
      7 of 9 concepts with lesson material
    6. Applications of calculus:
      0 of 3 concepts with lesson material
    7. Probability distributions:
      0 of 2 concepts with lesson material
    8. Data distributions yr12:
      0 of 3 concepts with lesson material
    9. Random variables:
      0 of 3 concepts with lesson material
    10. Sequences and series:
      2 of 2 concepts with lesson material
    11. Financial maths:
      2 of 3 concepts with lesson material
    12. Financial mathematics:
      0 of 1 concepts with lesson material

Each concept of Mathematics Advanced — Years 11–12 · Year 12, and what it builds on, is drawn in the map above.

Sequence: NSW syllabus, as used on the learning platform for Mathematics Advanced — Years 11–12. For NSW, read each concept beside your state or territory’s official curriculum.

Further graph transformations and modellingAlgebra and functions

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Transform sine, cosine and tangent graphsStructure
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Solve transformed trigonometric equationsStructure
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Model periodic phenomenaStructure
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Choose and evaluate transformed function modelsStructure
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Logarithmic scales and multiplicative comparisonsStructure
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Differentiation yr12Calculus

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Differentiate exponentials and logarithmsStructure
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Differentiate trigonometric functionsStructure
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Differential calculusCalculus

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Differentiate mixed elementary functionsStructure
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Tangents and normals to elementary curvesStructure
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IntegrationCalculus

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Primitives and the family of antiderivativesStructure
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Numerical integration and trapezoidal approximationStructure
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The Fundamental Theorem and definite integralsStructure
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Integral calculusCalculus

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Primitives of powers of linear functionsStructure
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Find a primitive from an initial conditionStructure
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Definite integrals as signed accumulationStructure
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Recognise reverse-chain integralsStructure
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Integrate exponential functionsStructure
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Reciprocal integrals and logarithmsStructure
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Integrate trigonometric functionsStructure
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Sequences and seriesSequences and finance

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Sequences, partial sums and sigma notationStructure
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Limiting geometric sumsStructure
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Financial mathsSequences and finance

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Arithmetic sequences and their sumsStructure
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Geometric sequences and finite sumsStructure
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Curriculum details for Mathematics Advanced — Years 11–12

NSW Mathematics Advanced (2024); Year 11 from 2026, Year 12 first HSC 2027; retained revision labelled separately.

Year 12 in the NSW source sequence · Year 12.

The Mathematics Advanced — Years 11–12 collection follows its named source sequence. For New South Wales, read each concept beside your state or territory’s official curriculum.

In Mathematics Advanced — Years 11–12, some source stages span two years and share lessons; choose a topic within the selected year level and revisit its foundation explanations when needed.

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