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Year 11 Advanced

65 skills on 4 lines. Start here: Index laws, zero, negative and fractional powers.

Next up

  • Algebra and functions
  • Trigonometry
  • Calculus
  • Probability and data
  • Needs both

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Mathematics Advanced — Years 11–12 · Year 11

35 lessons in this selection

Learning tree for Mathematics Advanced — Years 11–12 · Year 11 65 skills · 13 topics

  1. Stage 6 · Year 11

    1. Working with functions:
      17 of 25 skills with lesson material
    2. Exponentials logarithms:
      0 of 2 skills with lesson material
    3. Exponential and logarithmic functions:
      0 of 4 skills with lesson material
    4. Graph transformations:
      0 of 4 skills with lesson material
    5. Trigonometry:
      6 of 6 skills with lesson material
    6. Trigonometry and measure of angles:
      2 of 2 skills with lesson material
    7. Trigonometric identities and equations:
      3 of 3 skills with lesson material
    8. Intro differentiation:
      0 of 4 skills with lesson material
    9. Introduction to differentiation:
      0 of 7 skills with lesson material
    10. Differentiation yr12:
      0 of 1 skills with lesson material
    11. Probability and data:
      4 of 4 skills with lesson material
    12. Probability distributions:
      2 of 2 skills with lesson material
    13. Data distributions yr12:
      1 of 1 skills with lesson material

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

Sequence: NSW syllabus, as used on the learning platform for Mathematics Advanced — Years 11–12; detailed outcome alignment for NSW is not verified.

Working with functionsAlgebra and functions

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Index laws, zero, negative and fractional powersStructure
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Expand, factorise and simplify expressionsStructure
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Algebraic fractions and valid cancellationStructure
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Surds, exact arithmetic and conjugatesStructure
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Choose a method to solve quadratic equationsStructure
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Discriminant, root type and parameter conditionsStructure
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Functions, relations and function notationStructure
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Domain, range, intercepts and interval notationStructure
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Straight-line equations and graphsStructure
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Parallel and perpendicular linesStructure
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Linear inequalities and feasible valuesStructure
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Quadratic graph features and completing the squareStructure
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Reconstruct quadratic functions and compare coefficientsStructure
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Intersections involving quadratic functionsStructure
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Quadratic inequalities and sign intervalsStructure
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Cubic graphs from powers and factorsStructure
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Reciprocal functions and asymptotic behaviourStructure
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TrigonometryTrigonometry

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Exact acute ratios and right-triangle modellingStructure
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Angles of any magnitude and unit-circle ratiosStructure
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Sine rule, cosine rule and triangle areaStructure
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Radians and exact angle conversionStructure
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Base sine, cosine and tangent graphsStructure
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Trigonometric equations on restricted domainsStructure
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Trigonometry and measure of anglesTrigonometry

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The sine-rule ambiguous caseStructure
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Arc lengths, sectors and segmentsStructure
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Trigonometric identities and equationsTrigonometry

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Secant, cosecant and cotangentStructure
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Complementary-angle identitiesStructure
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Prove and apply trigonometric identitiesStructure
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Probability and dataProbability and data

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Sets, notation and Venn diagramsStructure
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Test independence and solve event problemsStructure
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Random variables and data typesStructure
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Histograms, polygons, mode and medianStructure
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Probability distributionsProbability and data

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Sample spaces, events and probability rulesStructure
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Conditional probability and restricted sample spacesStructure
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Data distributions yr12Probability and data

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Frequency tables and cumulative dataStructure
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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.

Preliminary in the NSW source sequence · Year 11.

The Mathematics Advanced — Years 11–12 collection follows its named source sequence; detailed outcome alignment for New South Wales is not verified.

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.

Focused preparation routes13 routes

Each route teaches one skill, with original, untimed questions. None is a complete NAPLAN programme, a placement test or a promised advantage.

How much is written so far

Every skill with a written lesson, stage by stage.

Skills with a written lesson, by school stageMathematics K–10: 236 of 236 skills have a lesson. Kindergarten: 6 of 6; Years 1–2: 14 of 14; Years 3–4: 13 of 13; Years 5–6: 15 of 15; Years 7–8: 46 of 46; Years 9–10: 142 of 142. English K–10: 335 of 363 skills have a lesson. Kindergarten: 57 of 57; Years 1–2: 52 of 52; Years 3–4: 71 of 71; Years 5–6: 71 of 71; Years 7–8: 57 of 57; Years 9–10: 27 of 55.Mathematics K–10236 of 236 skills have a lessonKindergarten6 of 6Years 1–214 of 14Years 3–413 of 13Years 5–615 of 15Years 7–846 of 46Years 9–10142 of 142English K–10335 of 363 skills have a lessonKindergarten57 of 57Years 1–252 of 52Years 3–471 of 71Years 5–671 of 71Years 7–857 of 57Years 9–1027 of 55Has a lessonNot written yetSource: the platform’s skill trees andlesson filesSkills with a written lesson, by school stageMathematics K–10: 236 of 236 skills have a lesson. Kindergarten: 6 of 6; Years 1–2: 14 of 14; Years 3–4: 13 of 13; Years 5–6: 15 of 15; Years 7–8: 46 of 46; Years 9–10: 142 of 142. English K–10: 335 of 363 skills have a lesson. Kindergarten: 57 of 57; Years 1–2: 52 of 52; Years 3–4: 71 of 71; Years 5–6: 71 of 71; Years 7–8: 57 of 57; Years 9–10: 27 of 55.Mathematics K–10236 of 236 skills have a lessonKindergarten6 of 6Years 1–214 of 14Years 3–413 of 13Years 5–615 of 15Years 7–846 of 46Years 9–10142 of 142English K–10335 of 363 skills have a lessonKindergarten57 of 57Years 1–252 of 52Years 3–471 of 71Years 5–671 of 71Years 7–857 of 57Years 9–1027 of 55Has a lessonNot written yetSource: the platform’s skill trees and lesson files

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