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The knowledge spine: what each concept builds on, and where it leads.

EdDots Learning Map

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Scope

Where you are in this year, and what comes next.

Next up

  • The nature of proof
  • Further work with vectors
  • Introduction to complex numbers
  • Further integration
  • Applications of calculus to mechanics
  • No lesson

How to read the map

Concepts

  • A concept. Its four lessons: Starting, Developing, Strong, Exceeding.
  • No lesson. The concept is in the sequence.
  • Chosen. The concept open in the panel.
  • A strand. Its line, with its letter.
  • Needs both. It builds on two strands.
  • Start here. The year’s first lesson.

Connections

  • Builds on. An essential step before.
  • Uses. Applies a method from another concept.
  • Connects to. Related, not required.
  • Leads to. A later application.

Arrows point to the concept that comes next. Distance on the map shows order, not time.

Every link has a reason: a step that comes first, a method used again, a related idea or a later application.

Subjects

  • Mathematics. K–10, Standard, Advanced, Extension 1 and 2.
  • English. K–10 and Advanced.
  • Science. Physics, Chemistry and Biology.

A subject always shows its colour, its glyph and its name.

Lessons in Mathematics Extension 2, Year 12

Open a lesson to see its parts and levels. Select Study this concept to continue with a learning subscription.

Mathematics Extension 2 — Year 12 · Year 12

8 lessons in this selection

Learning Map for Mathematics Extension 2 — Year 12 · Year 12 45 concepts · 5 topics

  1. Stage 6 · Year 12

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

Each concept of Mathematics Extension 2 — Year 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 Extension 2 — Year 12; detailed outcome alignment for NSW is not verified.

The nature of proofThe nature of proof

Choose a lesson to see its structure.

Statements, connectives and quantifiersStructure
  1. Get ready
  2. Watch — I do
  3. Together — We do
  4. With help
  5. On my own
  6. Come back
  • StartingLearning subscription
  • DevelopingLearning subscription
  • StrongLearning subscription
  • ExceedingLearning subscription
Study this concept
Proving and transforming inequalities safelyStructure
  1. Get ready
  2. Watch — I do
  3. Together — We do
  4. With help
  5. On my own
  6. Come back
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  • DevelopingLearning subscription
  • StrongLearning subscription
  • ExceedingLearning subscription
Study this concept
Triangle inequality and arithmetic–geometric meanStructure
  1. Get ready
  2. Watch — I do
  3. Together — We do
  4. With help
  5. On my own
  6. Come back
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  • DevelopingLearning subscription
  • StrongLearning subscription
  • ExceedingLearning subscription
Study this concept
Inequalities from graphs, calculus and squeezingStructure
  1. Get ready
  2. Watch — I do
  3. Together — We do
  4. With help
  5. On my own
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Study this concept
Induction for identities and inequalitiesStructure
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  3. Together — We do
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Study this concept
Link to this topic
Introduction to complex numbersIntroduction to complex numbers

Choose a lesson to see its structure.

Imaginary unit, number sets and negative discriminantsStructure
  1. Get ready
  2. Watch — I do
  3. Together — We do
  4. With help
  5. On my own
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Study this concept
Complex arithmetic and conjugatesStructure
  1. Get ready
  2. Watch — I do
  3. Together — We do
  4. With help
  5. On my own
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  • DevelopingLearning subscription
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Study this concept
Square roots and quadratics with complex coefficientsStructure
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  2. Watch — I do
  3. Together — We do
  4. With help
  5. On my own
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  • StrongLearning subscription
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Study this concept
Link to this topic
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.

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