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Year 12 Extension 2

45 skills on 5 lines. Start here: Statements, connectives and quantifiers.

Next up

  • The nature of proof
  • Further work with vectors
  • Introduction to complex numbers
  • Further integration
  • Applications of calculus to mechanics

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Mathematics Extension 2 — Year 12 · Year 12

8 lessons in this selection

Learning tree for Mathematics Extension 2 — Year 12 · Year 12 45 skills · 5 topics

  1. Stage 6 · Year 12

    1. The nature of proof:
      5 of 8 skills with lesson material
    2. Further work with vectors:
      0 of 7 skills with lesson material
    3. Introduction to complex numbers:
      3 of 11 skills with lesson material
    4. Further integration:
      0 of 9 skills with lesson material
    5. Applications of calculus to mechanics:
      0 of 10 skills with lesson material

Each skill of Mathematics Extension 2 — Year 12 · Year 12, and what it builds on, is drawn in the network above.

Sequence: NSW syllabus, as used on the learning platform for Mathematics Extension 2 — Year 12; detailed outcome alignment for NSW is not verified.

The nature of proofThe nature of proof

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Statements, connectives and quantifiersStructure
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Proving and transforming inequalities safelyStructure
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Triangle inequality and arithmetic–geometric meanStructure
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Inequalities from graphs, calculus and squeezingStructure
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Induction for identities and inequalitiesStructure
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Introduction to complex numbersIntroduction to complex numbers

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Imaginary unit, number sets and negative discriminantsStructure
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Complex arithmetic and conjugatesStructure
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Square roots and quadratics with complex coefficientsStructure
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Curriculum details for Mathematics Extension 2 — Year 12

NSW Mathematics Extension 2 (2024); Year 12 only; Advanced and Extension 1 corequisites.

Year 12 in the NSW source sequence · Year 12.

The Mathematics Extension 2 — Year 12 collection follows its named source sequence; detailed outcome alignment for New South Wales is not verified.

In Mathematics Extension 2 — Year 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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