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Year 10: Australian Curriculum v9

Listed Mathematics content descriptions at Year 10, 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.

  • 21content descriptions
  • 120skills mapped
  • 100%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. AC9M10N01recognise the effect of using approximations of real numbers in repeated calculations and compare the results when using exact representations

Algebra

  1. AC9M10A01expand, factorise and simplify expressions and solve equations algebraically, applying exponent laws involving products, quotients and powers of variables, and the distributive property

  2. AC9M10A02solve linear inequalities and simultaneous linear equations in 2 variables; interpret solutions graphically and communicate solutions in terms of the situation

  3. AC9M10A03recognise the connection between algebraic and graphical representations of exponential relations and solve related exponential equations, using digital tools where appropriate

  4. AC9M10A04use mathematical modelling to solve applied problems involving growth and decay, including financial contexts; formulate problems, choosing to apply linear, quadratic or exponential models; interpret solutions in terms of the situation; evaluate and modify models as necessary and report assumptions, methods and findings

  5. AC9M10A05experiment with functions and relations using digital tools, making and testing conjectures and generalising emerging patterns

Measurement

  1. AC9M10M01solve problems involving the surface area and volume of composite objects using appropriate units

  2. AC9M10M02interpret and use logarithmic scales  in applied contexts involving small and large quantities and change

  3. AC9M10M03solve practical problems applying Pythagoras’ theorem and trigonometry of right-angled triangles, including problems involving direction and angles of elevation and depression

  4. AC9M10M04identify the impact of measurement errors on the accuracy of results in practical contexts

  5. AC9M10M05use mathematical modelling to solve practical problems involving proportion and scaling of objects; formulate problems and interpret solutions in terms of the situation; evaluate and modify models as necessary, and report assumptions, methods and findings

Space

  1. AC9M10SP01apply deductive reasoning to proofs involving shapes in the plane and use theorems to solve spatial problems

  2. AC9M10SP02interpret networks and network diagrams used to represent relationships in practical situations and describe connectedness

  3. AC9M10SP03design, test and refine solutions to spatial problems using algorithms and digital tools; communicate and justify solutions

Statistics

  1. AC9M10ST01analyse claims, inferences and conclusions of statistical reports in the media, including ethical considerations and identification of potential sources of bias

  2. AC9M10ST02compare data distributions for continuous numerical variables using appropriate data displays including boxplots; discuss the shapes of these distributions in terms of centre, spread, shape and outliers in the context of the data

  3. AC9M10ST03construct scatterplots and comment on the association between the 2 numerical variables in terms of strength, direction and linearity

  4. AC9M10ST04construct two-way tables and discuss possible relationship between categorical variables

  5. AC9M10ST05plan and conduct statistical investigations of situations that involve bivariate data; evaluate and report findings with consideration of limitations of any inferences

Probability

  1. AC9M10P01use the language of “if ... then”, “given”, “of”, “knowing that” to describe and interpret situations involving conditional probability

  2. AC9M10P02design and conduct repeated chance experiments and simulations using digital tools to model conditional probability and interpret results

Other Year 10 skills

Year 10 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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