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Lessons in Mathematics K–10, Year 7

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Mathematics K–10 · Year 7

46 lessons in this selection

Learning Map for Mathematics K–10 · Year 7 46 concepts · 10 topics · builds on 18 concepts from earlier years

  1. Stage 4 · Years 7–8

    1. Integers, ratios and percentages:
      7 of 7 concepts with lesson material
    2. Algebraic techniques and linear equations:
      12 of 12 concepts with lesson material
    3. Fractions, decimals and percentages (Stage 4):
      4 of 4 concepts with lesson material
    4. Primes and indices:
      3 of 3 concepts with lesson material
    5. Angle relationships and circles:
      4 of 4 concepts with lesson material
    6. Length, area and volume (Stage 4):
      3 of 3 concepts with lesson material
    7. Geometrical figures and parallel lines:
      3 of 3 concepts with lesson material
    8. Right-angled triangles (Pythagoras):
      1 of 1 concepts with lesson material
    9. Probability experiments:
      4 of 4 concepts with lesson material
    10. Data classification and analysis:
      5 of 5 concepts with lesson material

Each concept of Mathematics K–10 · Year 7, 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.

Integers, ratios and percentagesNumber and algebra

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Orders, adds and subtracts positive and negative integersStructure
  1. Introduction
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  3. The idea
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Applies the order of operations to whole-number calculationsStructure
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Simplifies ratios and divides a quantity in a given ratioStructure
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Calculates a percentage of a quantity, including discountsStructure
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Multiplies and divides integers, including with the order of operationsStructure
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Uses rates to compare quantities, including best buys and speedStructure
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Interprets distance–time graphsStructure
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Algebraic techniques and linear equationsNumber and algebra

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Describes number patterns and writes the ruleStructure
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Uses algebraic notation with pronumeralsStructure
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Simplifies algebraic expressions by collecting like termsStructure
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Expands expressions with brackets using the distributive lawStructure
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Solves one-step linear equationsStructure
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Solves two-step linear equations, including with bracketsStructure
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Plots straight-line graphs from a table of valuesStructure
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Finds the gradient and y-intercept and writes the equation of a lineStructure
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Substitutes values into algebraic expressions and formulasStructure
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Factorises algebraic expressions using the highest common factorStructure
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Solves quadratic equations of the form ax² = cStructure
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Solves linear equations graphically using the point of intersectionStructure
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Fractions, decimals and percentages (Stage 4)Number and algebra

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Multiplies and divides fractions and mixed numeralsStructure
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Divides decimals by whole numbers and by decimalsStructure
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Expresses one quantity as a fraction or percentage of anotherStructure
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Calculates percentage increase and decrease, including GSTStructure
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Primes and indicesNumber and algebra

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Expresses whole numbers as products of their prime factorsStructure
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Calculates squares, cubes, square roots and cube rootsStructure
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Uses index notation and applies the index laws with numerical basesStructure
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Angle relationships and circlesMeasurement and space

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Finds unknown angles using angles at a point, on a line and in trianglesStructure
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Calculates the circumference and area of circlesStructure
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Finds the area of composite shapesStructure
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Calculates the volume of prisms and cylindersStructure
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Length, area and volume (Stage 4)Measurement and space

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Calculates perimeters of plane shapes, including composite figuresStructure
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Uses formulas to find the area of parallelograms, trapeziums, rhombuses and kitesStructure
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Calculates the volume and capacity of right prisms with various cross-sectionsStructure
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Geometrical figures and parallel linesMeasurement and space

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Classifies triangles and quadrilaterals using their side, angle and symmetry propertiesStructure
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Uses the angle sum of a quadrilateral to find unknown anglesStructure
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Finds unknown angles formed when parallel lines are cut by a transversalStructure
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Right-angled triangles (Pythagoras)Measurement and space

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Applies Pythagoras' theorem to find unknown sides in right-angled trianglesStructure
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Probability experimentsStatistics and probability

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Calculates theoretical probabilities for single-step experimentsStructure
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Runs experiments and compares relative frequency with theoretical probabilityStructure
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Uses tables and tree diagrams for two-step experimentsStructure
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Uses complementary events to calculate probabilitiesStructure
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Data classification and analysisStatistics and probability

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Classifies data as categorical or numerical, discrete or continuousStructure
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Constructs and interprets dot plots and stem-and-leaf plotsStructure
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Constructs frequency tables and histograms for numerical dataStructure
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Chooses appropriate measures of centre and spread, including the effect of outliersStructure
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Describes the shape of data distributions, including symmetry, clusters and outliersStructure
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Curriculum details for Mathematics K–10

NSW school sequence.

Stage 4 in the NSW source sequence · Years 7–8.

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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