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

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Scope

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

Next up

  • Algebra and proof
  • Algebra and functions
  • Trigonometry
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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 1, Year 11

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

Mathematics Extension 1 — Years 11–12 · Year 11

6 lessons in this selection

Learning Map for Mathematics Extension 1 — Years 11–12 · Year 11 37 concepts · 5 topics

Each concept of Mathematics Extension 1 — Years 11–12 · Year 11, and what it builds on, is drawn in the map above.

Sequence: NSW syllabus, as used on the learning platform for Mathematics Extension 1 — Years 11–12; detailed outcome alignment for NSW is not verified.

Further work with functionsAlgebra and functions

Choose a lesson to see its structure.

Reciprocal functions: points, signs and asymptotesStructure
  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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  • StrongLearning subscription
  • ExceedingLearning subscription
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Link to this topic
PolynomialsAlgebra and proof

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Why substitution gives a linear-divisor remainderStructure
  1. Get ready
  2. Watch — I do
  3. Together — We do
  4. With help
  5. On my own
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  • ExceedingLearning subscription
Study this concept
Factor theorem and complete real factorisationStructure
  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
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Permutations and combinationsAlgebra and proof

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Factorials and the multiplication principleStructure
  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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Study this concept
Permutations as ordered selectionsStructure
  1. Get ready
  2. Watch — I do
  3. Together — We do
  4. With help
  5. On my own
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Restrictions and repeated objects in a lineStructure
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  2. Watch — I do
  3. Together — We do
  4. With help
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Curriculum details for Mathematics Extension 1 — Years 11–12

NSW Mathematics Extension 1 (2024); Years 11–12; Advanced corequisite.

Preliminary in the NSW source sequence · Year 11.

The Mathematics Extension 1 — Years 11–12 collection follows its named source sequence; detailed outcome alignment for New South Wales is not verified.

In Mathematics Extension 1 — 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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