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Example: Year 9 Mathematics · Transit view

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Lessons in Mathematics K–10, Year 5

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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. For NSW, read each concept beside your state or territory’s official curriculum.

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
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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
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  • ExceedingLearning subscription
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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
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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
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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
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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
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Link to this topic
Area, volume and anglesMeasurement and space

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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
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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
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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
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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
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Link to this topic
Analysing dataStatistics and probability

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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
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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
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  • DevelopingLearning subscription
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Link to this topic
ChanceStatistics and probability

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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
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  • ExceedingLearning subscription
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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
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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. For New South Wales, read each concept beside your state or territory’s official curriculum.

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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