HelpLog in

See how knowledge connects.

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

EdDots Learning Map

See what you’re learning, and how it all fits together.

View
Scope

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

Next up

  • Algebra and functions
  • Trigonometry
  • Calculus
  • Probability and data
  • Needs both
  • 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 Advanced, Year 11

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

Mathematics Advanced — Years 11–12 · Year 11

35 lessons in this selection

Learning Map for Mathematics Advanced — Years 11–12 · Year 11 65 concepts · 13 topics

  1. Stage 6 · Year 11

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

Each concept of Mathematics Advanced — 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 Advanced — Years 11–12; detailed outcome alignment for NSW is not verified.

Working with functionsAlgebra and functions

Choose a lesson to see its structure.

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

Choose a lesson to see its structure.

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

Choose a lesson to see its structure.

The sine-rule ambiguous caseStructure
  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
Arc lengths, sectors and segmentsStructure
  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
Link to this topic
Trigonometric identities and equationsTrigonometry

Choose a lesson to see its structure.

Secant, cosecant and cotangentStructure
  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
Complementary-angle identitiesStructure
  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
Prove and apply trigonometric identitiesStructure
  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
Link to this topic
Probability and dataProbability and data

Choose a lesson to see its structure.

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

Choose a lesson to see its structure.

Sample spaces, events and probability rulesStructure
  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
Conditional probability and restricted sample spacesStructure
  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
Link to this topic
Data distributions yr12Probability and data

Choose a lesson to see its structure.

Frequency tables and cumulative dataStructure
  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
Link to this topic
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.

All subjects

See all subjects