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Advanced, every topic

25 topics on 6 lines. Year 11 to Year 12.

Next up

  • Algebra and functions
  • Trigonometry
  • Calculus
  • Probability and data
  • Sequences and finance
  • Retained 2017 syllabus revision
  • Needs both

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Mathematics Advanced — Years 11–12

7 lessons on this page of 9 skills in Mathematics Advanced — Years 11–12

Learning tree for Mathematics Advanced — Years 11–12 25 topics in 6 strands

  1. Algebra and functions

    1. Working with functions:
      Stage 6 · 17 of 25 skills with lesson material
    2. Exponentials logarithms:
      Stage 6 · 0 of 2 skills with lesson material
    3. Exponential and logarithmic functions:
      Stage 6 · 0 of 4 skills with lesson material
    4. Graph transformations:
      Stage 6 · 0 of 4 skills with lesson material
    5. Further graph transformations and modelling:
      Stage 6 · 5 of 5 skills with lesson material

  2. Trigonometry

    1. Trigonometry:
      Stage 6 · 6 of 6 skills with lesson material
    2. Trigonometry and measure of angles:
      Stage 6 · 2 of 2 skills with lesson material
    3. Trigonometric identities and equations:
      Stage 6 · 3 of 3 skills with lesson material

  3. Calculus

    1. Intro differentiation:
      Stage 6 · 0 of 4 skills with lesson material
    2. Introduction to differentiation:
      Stage 6 · 0 of 7 skills with lesson material
    3. Differentiation yr12:
      Stage 6 · 2 of 6 skills with lesson material
    4. Differential calculus:
      Stage 6 · 2 of 2 skills with lesson material
    5. Integration:
      Stage 6 · 3 of 5 skills with lesson material
    6. Integral calculus:
      Stage 6 · 7 of 9 skills with lesson material
    7. Applications of calculus:
      Stage 6 · 0 of 3 skills with lesson material

  4. Probability and data

    1. Probability and data:
      Stage 6 · 4 of 4 skills with lesson material
    2. Probability distributions:
      Stage 6 · 2 of 4 skills with lesson material
    3. Data distributions yr12:
      Stage 6 · 1 of 4 skills with lesson material
    4. Random variables:
      Stage 6 · 0 of 3 skills with lesson material

  5. Sequences and finance

    1. Sequences and series:
      Stage 6 · 2 of 2 skills with lesson material
    2. Financial maths:
      Stage 6 · 2 of 3 skills with lesson material
    3. Financial mathematics:
      Stage 6 · 0 of 1 skills with lesson material

  6. Retained 2017 syllabus revision

    1. Differential calculus — retained revision:
      2017 syllabus revision · 0 of 1 skills with lesson material
    2. Data and the normal distribution — retained revision:
      2017 syllabus revision · 0 of 2 skills with lesson material
    3. Series and financial mathematics — retained revision:
      2017 syllabus revision · 0 of 1 skills with lesson material

Choose a year level in Mathematics Advanced — Years 11–12 to see each skill and what it builds on.

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Lessons in Mathematics Advanced — Years 11–12

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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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.

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

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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