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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: 318 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: 10 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–10318 of 363 skills have a lessonKindergarten57 of 57Years 1–252 of 52Years 3–471 of 71Years 5–671 of 71Years 7–857 of 57Years 9–1010 of 55Has a lessonNot written yetSource: the platform’s skill trees and lessonfilesSkills 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: 318 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: 10 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–10318 of 363 skills have a lessonKindergarten57 of 57Years 1–252 of 52Years 3–471 of 71Years 5–671 of 71Years 7–857 of 57Years 9–1010 of 55Has a lessonNot written yetSource: the platform’s skill trees and lesson files

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Mathematics K–10 · Year 5

15 lessons in this selection

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

  1. Stage 3 · Years 5–6

    1. Fractions and decimals:
      7 of 7 skills with lesson material
    2. Area, volume and angles:
      4 of 4 skills with lesson material
    3. Analysing data:
      2 of 2 skills with lesson material
    4. Chance:
      2 of 2 skills with lesson material
Learning tree for Mathematics K–10 · Year 515 skills in lanes by topic, in sequence from left to right. Each arrow runs from a skill to one that builds on it. The list that follows names every skill and what it builds on.Fractions and decimalsArea, volume and anglesAnalysing dataChanceFrom other yearsStep 1Step 2Step 3Reads, writes andorders numbers to1000Recallsmultiplication factsto 10 × 10Models division asequal sharing andgroupingRecognises and namesunit fractions ofshapes andcollectionsReads and ordersdecimals tothousandths usingplace valueFinds equivalentfractions usingmodels andmultiplicationAdds and subtractsfractions with thesame denominatorAdds, subtracts andmultiplies decimalsConverts betweenfractions, decimalsand percentagesAdds and subtractsfractions with unlikedenominatorsOrders, adds andsubtracts positiveand negative integersPlaces numbers up to100 on a number lineMultiplies two- andthree-digit numbersby a one-digit numberFinds area bycounting square unitson gridsSorts and namescircles, squares,triangles andrectanglesPlots and readspoints in all fourquadrants of theCartesian planeUses formulas to findthe area ofrectangles andtrianglesMeasures and drawsangles with aprotractorCalculates the volumeof rectangular prismsDivides two- andthree-digit numbersby a one-digitnumber, withremaindersDraws and interpretscolumn graphsCalculates the mean,median, mode andrange of a data setInterprets linegraphs and two-waytablesDescribes chanceusing words such aslikely, unlikely andimpossibleAssigns probabilitiesto simple events asfractions

  1. Fractions and decimals

    1. Recognises and names unit fractions of shapes and collectionsBuilds on: Models division as equal sharing and grouping (Years 3–4)
    2. Finds equivalent fractions using models and multiplicationBuilds on: Recognises and names unit fractions of shapes and collections; Recalls multiplication facts to 10 × 10 (Years 3–4)
    3. Adds and subtracts fractions with the same denominatorBuilds on: Recognises and names unit fractions of shapes and collections
    4. Reads and orders decimals to thousandths using place valueBuilds on: Reads, writes and orders numbers to 1000 (Years 1–2); Recognises and names unit fractions of shapes and collections
    5. Adds and subtracts fractions with unlike denominatorsBuilds on: Finds equivalent fractions using models and multiplication; Adds and subtracts fractions with the same denominator
    6. Adds, subtracts and multiplies decimalsBuilds on: Reads and orders decimals to thousandths using place value; Multiplies two- and three-digit numbers by a one-digit number (Years 3–4)
    7. Converts between fractions, decimals and percentagesBuilds on: Finds equivalent fractions using models and multiplication; Reads and orders decimals to thousandths using place value

  2. Area, volume and angles

    1. Uses formulas to find the area of rectangles and trianglesBuilds on: Finds area by counting square units on grids (Years 3–4); Multiplies two- and three-digit numbers by a one-digit number (Years 3–4)
    2. Measures and draws angles with a protractorBuilds on: Sorts and names circles, squares, triangles and rectangles (Kindergarten)
    3. Plots and reads points in all four quadrants of the Cartesian planeBuilds on: Orders, adds and subtracts positive and negative integers (Years 7–8); Places numbers up to 100 on a number line (Years 1–2)
    4. Calculates the volume of rectangular prismsBuilds on: Uses formulas to find the area of rectangles and triangles

  3. Analysing data

    1. Calculates the mean, median, mode and range of a data setBuilds on: Draws and interprets column graphs (Years 3–4); Divides two- and three-digit numbers by a one-digit number, with remainders (Years 3–4)
    2. Interprets line graphs and two-way tablesBuilds on: Draws and interprets column graphs (Years 3–4)

  4. Chance

    1. Describes chance using words such as likely, unlikely and impossibleA starting point: builds on no earlier skill
    2. Assigns probabilities to simple events as fractionsBuilds on: Describes chance using words such as likely, unlikely and impossible; Recognises and names unit fractions of shapes and collections
  • Each arrow points from a skill to one that builds on it
  • From another year

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

Number and algebraFractions and decimals

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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
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Finds equivalent fractions using models and multiplicationStructure
  1. Introduction
  2. Prerequisite review
  3. The idea
  4. Worked examples
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Adds and subtracts fractions with the same denominatorStructure
  1. Introduction
  2. Prerequisite review
  3. The idea
  4. Worked examples
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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
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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
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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
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Measurement and spaceArea, volume and angles

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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
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Calculates the volume of rectangular prismsStructure
  1. Introduction
  2. Prerequisite review
  3. The idea
  4. Worked examples
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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
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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
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Statistics and probabilityAnalysing data

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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
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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
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Statistics and probabilityChance

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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
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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
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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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Lessons are written for Mathematics and English first. Register interest in any other area.