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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.

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Scope

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

Next up

  • Measurement and space
  • Number and algebra
  • Statistics and probability
  • Needs both

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 K–10, Year 5

Open a lesson to see its parts and levels. Select View example to try one level. Complete lessons need a learning subscription.

Mathematics K–10 · Year 5

15 lessons in this selection

Learning Map for Mathematics K–10 · Year 5 15 concepts · 4 topics · builds on 10 concepts from other years

  1. Stage 3 · Years 5–6

    1. Fractions and decimals:
      7 of 7 concepts with lesson material
    2. Area, volume and angles:
      4 of 4 concepts with lesson material
    3. Analysing data:
      2 of 2 concepts with lesson material
    4. Chance:
      2 of 2 concepts with lesson material

Each concept of Mathematics K–10 · Year 5, and what it builds on, is drawn in the map above.

Sequence: NSW syllabus, as used on the learning platform for Mathematics K–10; detailed outcome alignment for NSW is not verified.

Fractions and decimalsNumber and algebra

Choose a lesson to see its structure.

Recognises and names unit fractions of shapes and collectionsStructure
  1. Introduction
  2. Prerequisite review
  3. The idea
  4. Worked examples
  5. Practice set
  6. Common errors
  7. Extension
  • StartingLearning subscription
  • DevelopingLearning subscription
  • StrongLearning subscription
  • ExceedingLearning subscription
Study this concept
Finds equivalent fractions using models and multiplicationStructure
  1. Introduction
  2. Prerequisite review
  3. The idea
  4. Worked examples
  5. Practice set
  6. Common errors
  7. Extension
  • StartingView example
  • DevelopingLearning subscription
  • StrongLearning subscription
  • ExceedingLearning subscription
Study this concept
Adds and subtracts fractions with the same denominatorStructure
  1. Introduction
  2. Prerequisite review
  3. The idea
  4. Worked examples
  5. Practice set
  6. Common errors
  7. Extension
  • StartingLearning subscription
  • DevelopingLearning subscription
  • StrongLearning subscription
  • ExceedingLearning subscription
Study this concept
Adds and subtracts fractions with unlike denominatorsStructure
  1. Introduction
  2. Prerequisite review
  3. The idea
  4. Worked examples
  5. Practice set
  6. Common errors
  7. Extension
  • StartingLearning subscription
  • DevelopingLearning subscription
  • StrongLearning subscription
  • ExceedingLearning subscription
Study this concept
Reads and orders decimals to thousandths using place valueStructure
  1. Introduction
  2. Prerequisite review
  3. The idea
  4. Worked examples
  5. Practice set
  6. Common errors
  7. Extension
  • StartingLearning subscription
  • DevelopingLearning subscription
  • StrongLearning subscription
  • ExceedingLearning subscription
Study this concept
Adds, subtracts and multiplies decimalsStructure
  1. Introduction
  2. Prerequisite review
  3. The idea
  4. Worked examples
  5. Practice set
  6. Common errors
  7. Extension
  • StartingLearning subscription
  • DevelopingLearning subscription
  • StrongLearning subscription
  • ExceedingLearning subscription
Study this concept
Link to this topic
Area, volume and anglesMeasurement and space

Choose a lesson to see its structure.

Uses formulas to find the area of rectangles and trianglesStructure
  1. Introduction
  2. Prerequisite review
  3. The idea
  4. Worked examples
  5. Practice set
  6. Common errors
  7. Extension
  • StartingLearning subscription
  • DevelopingLearning subscription
  • StrongLearning subscription
  • ExceedingLearning subscription
Study this concept
Calculates the volume of rectangular prismsStructure
  1. Introduction
  2. Prerequisite review
  3. The idea
  4. Worked examples
  5. Practice set
  6. Common errors
  7. Extension
  • StartingLearning subscription
  • DevelopingLearning subscription
  • StrongLearning subscription
  • ExceedingLearning subscription
Study this concept
Measures and draws angles with a protractorStructure
  1. Introduction
  2. Prerequisite review
  3. The idea
  4. Worked examples
  5. Practice set
  6. Common errors
  7. Extension
  • StartingLearning subscription
  • DevelopingLearning subscription
  • StrongLearning subscription
  • ExceedingLearning subscription
Study this concept
Plots and reads points in all four quadrants of the Cartesian planeStructure
  1. Introduction
  2. Prerequisite review
  3. The idea
  4. Worked examples
  5. Practice set
  6. Common errors
  7. Extension
  • StartingLearning subscription
  • DevelopingLearning subscription
  • StrongLearning subscription
  • ExceedingLearning subscription
Study this concept
Link to this topic
Analysing dataStatistics and probability

Choose a lesson to see its structure.

Calculates the mean, median, mode and range of a data setStructure
  1. Introduction
  2. Prerequisite review
  3. The idea
  4. Worked examples
  5. Practice set
  6. Common errors
  7. Extension
  • StartingLearning subscription
  • DevelopingLearning subscription
  • StrongLearning subscription
  • ExceedingLearning subscription
Study this concept
Interprets line graphs and two-way tablesStructure
  1. Introduction
  2. Prerequisite review
  3. The idea
  4. Worked examples
  5. Practice set
  6. Common errors
  7. Extension
  • StartingLearning subscription
  • DevelopingLearning subscription
  • StrongLearning subscription
  • ExceedingLearning subscription
Study this concept
Link to this topic
ChanceStatistics and probability

Choose a lesson to see its structure.

Describes chance using words such as likely, unlikely and impossibleStructure
  1. Introduction
  2. Prerequisite review
  3. The idea
  4. Worked examples
  5. Practice set
  6. Common errors
  7. Extension
  • StartingLearning subscription
  • DevelopingLearning subscription
  • StrongLearning subscription
  • ExceedingLearning subscription
Study this concept
Assigns probabilities to simple events as fractionsStructure
  1. Introduction
  2. Prerequisite review
  3. The idea
  4. Worked examples
  5. Practice set
  6. Common errors
  7. Extension
  • StartingLearning subscription
  • DevelopingLearning subscription
  • StrongLearning subscription
  • ExceedingLearning subscription
Study this concept
Link to this topic
Curriculum details for Mathematics K–10

NSW school sequence.

Stage 3 in the NSW source sequence · Years 5–6.

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

In Mathematics K–10, 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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