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Year 9: Australian Curriculum v9

Listed Mathematics content descriptions at Year 9, in the words of the Australian Curriculum, Assessment and Reporting Authority (ACARA), with the practice on this site that covers it. Checked against the source on 4 September 2026.

Taught as published in South Australia, and as the Australian Curriculum in Queensland (ACiQ). The Northern Territory, the ACT and Tasmania also teach it directly. Content descriptions are verbatim from ACARA's curriculum workbook.

  • 23content descriptions
  • 117skills mapped
  • 91%have practice

Coverage is the percentage of listed content descriptions with at least one linked practice skill; it does not measure how fully every part of an entry is practised. A skill can practise more than one content description, so some appear more than once below.

Number

  1. AC9M9N01recognise that the real number system includes the rational numbers and the irrational numbers, and solve problems involving real numbers using digital tools

Algebra

  1. AC9M9A01apply the exponent laws to numerical expressions with integer exponents and extend to variables

  2. AC9M9A02simplify algebraic expressions, expand binomial products and factorise monic quadratic expressions

  3. AC9M9A03find the gradient of a line segment, the midpoint of the line interval and the distance between 2 distinct points on the Cartesian plane

  4. AC9M9A04identify and graph quadratic functions, solve quadratic equations graphically and numerically, and solve monic quadratic equations with integer roots algebraically, using graphing software and digital tools as appropriate

  5. AC9M9A05use mathematical modelling to solve applied problems involving change including financial contexts; formulate problems, choosing to use either linear or quadratic functions; interpret solutions in terms of the situation; evaluate the model and report methods and findings

  6. AC9M9A06experiment with the effects of the variation of parameters on graphs of related functions, using digital tools, making connections between graphical and algebraic representations, and generalising emerging patterns

Measurement

  1. AC9M9M01solve problems involving the volume and surface area of right prisms and cylinders using appropriate units

  2. AC9M9M02solve problems involving very small and very large measurements, time scales and intervals expressed in scientific notation

  3. AC9M9M03solve spatial problems, applying angle properties, scale, similarity, Pythagoras’ theorem and trigonometry in right-angled triangles

  4. AC9M9M04calculate and interpret absolute, relative and percentage errors in measurements, recognising that all measurements are estimates

  5. AC9M9M05use mathematical modelling to solve practical problems involving direct proportion, rates, ratio and scale, including financial contexts; formulate the problems and interpret solutions in terms of the situation; evaluate the model and report methods and findings

Space

  1. AC9M9SP01recognise the constancy of the sine, cosine and tangent ratios for a given angle in right-angled triangles using properties of similarity

  2. AC9M9SP02apply the enlargement transformation to shapes and objects using dynamic geometry software as appropriate; identify and explain aspects that remain the same and those that change

  3. AC9M9SP03design, test and refine algorithms involving a sequence of steps and decisions based on geometric constructions and theorems; discuss and evaluate refinements

Statistics

  1. AC9M9ST01analyse reports of surveys in digital media and elsewhere for information on how data was obtained to estimate population means and medians

    No practice for this one yet.

  2. AC9M9ST02analyse how different sampling methods can affect the results of surveys and how choice of representation can be used to support a particular point of view

    No practice for this one yet.

  3. AC9M9ST03represent the distribution of multiple data sets for numerical variables using comparative representations; compare data distributions with consideration of centre, spread and shape, and the effect of outliers on these measures

  4. AC9M9ST04choose appropriate forms of display or visualisation for a given type of data; justify selections and interpret displays for a given context

  5. AC9M9ST05plan and conduct statistical investigations involving the collection and analysis of different kinds of data; report findings and discuss the strength of evidence to support any conclusions

Probability

  1. AC9M9P01list all outcomes for compound events both with and without replacement, using lists, tree diagrams, tables or arrays; assign probabilities to outcomes

  2. AC9M9P02calculate relative frequencies from given or collected data to estimate probabilities of events involving “and”, inclusive “or” and exclusive “or”

  3. AC9M9P03design and conduct repeated chance experiments and simulations, using digital tools to compare probabilities of simple events to related compound events, and describe results

Other Year 9 skills

Year 9 skills not currently linked to an entry on this page. These may include revision, extension practice, or skills still awaiting a curriculum mapping.

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