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Mathematics, every topic

46 topics on 3 lines. Kindergarten to Year 10.

Next up

  • Measurement and space
  • Number and algebra
  • Statistics and probability
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Biology Years 11–12

1 lesson on this page of 1 skill in Biology Years 11–12

Learning tree for Biology Years 11–12 1 topic in 1 strand

  1. Cells

    1. Cell membranes and transport:
      Preliminary · 1 of 1 skills with lesson material

The full Biology Years 11–12 sequence, including what each skill builds on, is in your learning account.

Lessons in Biology Years 11–12

Osmosis: water movement and cell responsesStructure
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Curriculum details for Biology Years 11–12

NSW Biology Stage 6 (2017); representative Year 11 lesson.

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

Chemistry Years 11–12

1 lesson on this page of 1 skill in Chemistry Years 11–12

Learning tree for Chemistry Years 11–12 1 topic in 1 strand

  1. Chemical reactions

    1. Equilibrium:
      Year 12 · 1 of 1 skills with lesson material

The full Chemistry Years 11–12 sequence, including what each skill builds on, is in your learning account.

Lessons in Chemistry Years 11–12

Gas equilibrium: quotient, extent and physical solutionsStructure
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Curriculum details for Chemistry Years 11–12

NSW Chemistry Stage 6 (2017); representative Year 12 lesson.

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

English K–10

12 lessons on this page of 363 skills in English K–10, page 1 of 31

Learning tree for English K–10 72 topics in 3 strands

  1. Reading and viewing

    1. Phonic knowledge:
      Early Stage 1 · 5 of 5 skills with lesson material
    2. Phonological awareness:
      Early Stage 1 · 4 of 4 skills with lesson material
    3. Print conventions:
      Early Stage 1 · 3 of 3 skills with lesson material
    4. Reading comprehension:
      Early Stage 1 · 6 of 6 skills with lesson material
    5. Reading fluency:
      Early Stage 1 · 3 of 3 skills with lesson material
    6. Understanding and responding to literature:
      Early Stage 1 · 6 of 6 skills with lesson material
    7. Vocabulary:
      Early Stage 1 · 3 of 3 skills with lesson material
    8. Phonic knowledge:
      Stage 1 · 4 of 4 skills with lesson material
    9. Reading comprehension:
      Stage 1 · 7 of 7 skills with lesson material
    10. Reading fluency:
      Stage 1 · 2 of 2 skills with lesson material
    11. Understanding and responding to literature:
      Stage 1 · 6 of 6 skills with lesson material
    12. Vocabulary:
      Stage 1 · 3 of 3 skills with lesson material
    13. Reading comprehension:
      Stage 2 · 9 of 9 skills with lesson material
    14. Reading fluency:
      Stage 2 · 4 of 4 skills with lesson material
    15. Understanding and responding to literature:
      Stage 2 · 8 of 8 skills with lesson material
    16. Vocabulary:
      Stage 2 · 5 of 5 skills with lesson material
    17. Reading comprehension:
      Stage 3 · 13 of 13 skills with lesson material
    18. Understanding and responding to literature:
      Stage 3 · 7 of 7 skills with lesson material
    19. Vocabulary:
      Stage 3 · 6 of 6 skills with lesson material
    20. Reading, viewing and listening to texts:
      Stage 4 · 6 of 6 skills with lesson material
    21. Understanding and responding to texts A:
      Stage 4 · 6 of 6 skills with lesson material
    22. Understanding and responding to texts B:
      Stage 4 · 6 of 6 skills with lesson material
    23. Understanding and responding to texts C:
      Stage 4 · 3 of 3 skills with lesson material
    24. Reading, viewing and listening to texts:
      Stage 5 · 6 of 6 skills with lesson material
    25. Understanding and responding to texts A:
      Stage 5 · 5 of 5 skills with lesson material
    26. Understanding and responding to texts B:
      Stage 5 · 6 of 6 skills with lesson material
    27. Understanding and responding to texts C:
      Stage 5 · 3 of 3 skills with lesson material

  2. Writing and representing

    1. Early writing:
      Early Stage 1 · 9 of 9 skills with lesson material
    2. Handwriting:
      Early Stage 1 · 2 of 2 skills with lesson material
    3. Spelling:
      Early Stage 1 · 4 of 4 skills with lesson material
    4. Handwriting:
      Stage 1 · 2 of 2 skills with lesson material
    5. Sentence craft:
      Stage 1 · 6 of 6 skills with lesson material
    6. Spelling:
      Stage 1 · 4 of 4 skills with lesson material
    7. Creating written texts:
      Stage 1 · 7 of 7 skills with lesson material
    8. Handwriting and digital transcription:
      Stage 2 · 2 of 2 skills with lesson material
    9. Paragraph craft and cohesion:
      Stage 2 · 5 of 5 skills with lesson material
    10. Sentence-level grammar and punctuation:
      Stage 2 · 8 of 8 skills with lesson material
    11. Spelling:
      Stage 2 · 4 of 4 skills with lesson material
    12. Writing for imaginative, informative and persuasive purposes:
      Stage 2 · 9 of 9 skills with lesson material
    13. Handwriting and digital transcription:
      Stage 3 · 2 of 2 skills with lesson material
    14. Sentence-level grammar and punctuation:
      Stage 3 · 7 of 7 skills with lesson material
    15. Spelling:
      Stage 3 · 4 of 4 skills with lesson material
    16. Text features, cohesion and planning:
      Stage 3 · 6 of 6 skills with lesson material
    17. Writing for different purposes:
      Stage 3 · 8 of 8 skills with lesson material
    18. Essay craft and composing written texts:
      Stage 4 · 10 of 10 skills with lesson material
    19. Imaginative and poetic composition:
      Stage 4 · 5 of 5 skills with lesson material
    20. Representing and multimodal composition:
      Stage 4 · 1 of 1 skills with lesson material
    21. Sentence-level grammar and punctuation:
      Stage 4 · 7 of 7 skills with lesson material
    22. Word-level language and spelling:
      Stage 4 · 2 of 2 skills with lesson material
    23. Planning, monitoring, revising and reflecting:
      Stage 4 · 7 of 7 skills with lesson material
    24. Imaginative, discursive and poetic composition:
      Stage 5 · 2 of 5 skills with lesson material
    25. Polished writing:
      Stage 5 · 2 of 8 skills with lesson material
    26. Representing and multimodal composition:
      Stage 5 · 1 of 2 skills with lesson material
    27. Sentence-level grammar and punctuation:
      Stage 5 · 0 of 4 skills with lesson material
    28. Word-level language and spelling:
      Stage 5 · 1 of 4 skills with lesson material
    29. Planning, monitoring, revising and reflecting:
      Stage 5 · 0 of 7 skills with lesson material

  3. Speaking and listening

    1. Understanding and using grammar when interacting:
      Early Stage 1 · 2 of 2 skills with lesson material
    2. Listening for understanding:
      Early Stage 1 · 4 of 4 skills with lesson material
    3. Oral narrative:
      Early Stage 1 · 2 of 2 skills with lesson material
    4. Social and learning interactions:
      Early Stage 1 · 4 of 4 skills with lesson material
    5. Understanding and using grammar when interacting:
      Stage 1 · 3 of 3 skills with lesson material
    6. Listening for understanding:
      Stage 1 · 3 of 3 skills with lesson material
    7. Oral narrative:
      Stage 1 · 4 of 4 skills with lesson material
    8. Social and learning interactions:
      Stage 1 · 1 of 1 skills with lesson material
    9. Interacting:
      Stage 2 · 5 of 5 skills with lesson material
    10. Listening for understanding:
      Stage 2 · 6 of 6 skills with lesson material
    11. Presenting:
      Stage 2 · 6 of 6 skills with lesson material
    12. Interacting:
      Stage 3 · 6 of 6 skills with lesson material
    13. Listening for understanding:
      Stage 3 · 5 of 5 skills with lesson material
    14. Presenting:
      Stage 3 · 7 of 7 skills with lesson material
    15. Speaking:
      Stage 4 · 4 of 4 skills with lesson material
    16. Speaking:
      Stage 5 · 1 of 5 skills with lesson material

Choose a year level in English K–10 to see each skill and what it builds on.

Lessons in English K–10

Blends sounds to read and spell short words like cat and sunStructure
  1. Introduction
  2. Prerequisite review
  3. The idea
  4. Worked examples
  5. Practice set
  6. Common errors
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Reads and spells words with two consonants togetherStructure
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Reads and spells words with consonant digraphsStructure
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Reads words with long vowel patterns and split digraphsStructure
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Matches letters to their most common soundsStructure
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Blends and segments all the sounds in a spoken wordStructure
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Changes a sound in a spoken word to make a new wordStructure
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Hears and says the first sound in a spoken wordStructure
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Hears separate words and syllables in speechStructure
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Handles a book and tracks print the right wayStructure
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  4. Worked examples
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Tells letters, words, numerals and punctuation apart on the pageStructure
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Knows that print carries a messageStructure
  1. Introduction
  2. Prerequisite review
  3. The idea
  4. Worked examples
  5. Practice set
  6. Common errors
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Curriculum details for English K–10

NSW school sequence.

The English K–10 collection follows its named source sequence; detailed outcome alignment for New South Wales is not verified.

HSC English Advanced

1 lesson on this page of 32 skills in HSC English Advanced, page 1 of 3

Learning tree for HSC English Advanced 8 topics in 3 strands

  1. Textual analysis

    1. Foundations of analysis:
      Preliminary · 0 of 6 skills with lesson material
    2. Context and perspective:
      Preliminary · 0 of 2 skills with lesson material
    3. Texts and human experiences:
      Year 12 · 1 of 4 skills with lesson material
    4. Critical study of texts:
      Year 12 · 0 of 2 skills with lesson material

  2. Essay craft

    1. Building analytical arguments:
      Preliminary · 0 of 5 skills with lesson material
    2. Sustained essays under exam conditions:
      Year 12 · 0 of 4 skills with lesson material

  3. Imaginative, discursive and reflective writing

    1. Creative craft:
      Preliminary · 0 of 6 skills with lesson material
    2. Discursive and reflective writing:
      Year 12 · 0 of 3 skills with lesson material

The full HSC English Advanced sequence, including what each skill builds on, is in your learning account.

Lessons in HSC English Advanced

Analyses representations of individual and collective human experiencesStructure
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Curriculum details for HSC English Advanced

NSW senior secondary sequence.

The HSC English Advanced collection follows its named source sequence; detailed outcome alignment for New South Wales is not verified.

Mathematics Advanced — Years 11–12

12 lessons on this page of 112 skills in Mathematics Advanced — Years 11–12, page 1 of 10

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.

Lessons in Mathematics Advanced — Years 11–12

Index laws, zero, negative and fractional powersStructure
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Expand, factorise and simplify expressionsStructure
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Algebraic fractions and valid cancellationStructure
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Surds, exact arithmetic and conjugatesStructure
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Choose a method to solve quadratic equationsStructure
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Discriminant, root type and parameter conditionsStructure
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Functions, relations and function notationStructure
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Domain, range, intercepts and interval notationStructure
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Straight-line equations and graphsStructure
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Parallel and perpendicular linesStructure
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Linear inequalities and feasible valuesStructure
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Quadratic graph features and completing the squareStructure
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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.

Mathematics Extension 1 — Years 11–12

1 lesson on this page of 72 skills in Mathematics Extension 1 — Years 11–12, page 1 of 6

Learning tree for Mathematics Extension 1 — Years 11–12 11 topics in 6 strands

  1. Algebra and functions

    1. Further work with functions:
      Stage 6 · 1 of 13 skills with lesson material

  2. Algebra and proof

    1. Polynomials:
      Stage 6 · 2 of 7 skills with lesson material
    2. Permutations and combinations:
      Stage 6 · 3 of 7 skills with lesson material
    3. The binomial theorem:
      Stage 6 · 0 of 4 skills with lesson material
    4. Proof by mathematical induction:
      Stage 6 · 1 of 2 skills with lesson material

  3. Trigonometry

    1. Further trigonometry:
      Stage 6 · 0 of 6 skills with lesson material
    2. Inverse trigonometric functions:
      Stage 6 · 0 of 3 skills with lesson material

  4. Vectors

    1. Introduction to vectors:
      Stage 6 · 0 of 11 skills with lesson material

  5. Calculus

    1. Further calculus skills:
      Stage 6 · 0 of 5 skills with lesson material
    2. Further applications of calculus:
      Stage 6 · 0 of 8 skills with lesson material

  6. Probability and data

    1. The binomial distribution and sampling distribution of the mean:
      Stage 6 · 0 of 6 skills with lesson material

Choose a year level in Mathematics Extension 1 — Years 11–12 to see each skill and what it builds on.

Lessons in Mathematics Extension 1 — Years 11–12

Reciprocal functions: points, signs and asymptotesStructure
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Curriculum details for Mathematics Extension 1 — Years 11–12

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

The Mathematics Extension 1 — 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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