Why us?AboutParent PlusSign in / Create account

Year 8: Australian Curriculum v9

Listed Mathematics content descriptions at Year 8, 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.

  • 27content descriptions
  • 86skills mapped
  • 96%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. AC9M8N01recognise irrational numbers in applied contexts, including square roots and \(π\)

  2. AC9M8N02establish and apply the exponent laws with positive integer exponents and the zero-exponent, using exponent notation with numbers

  3. AC9M8N03recognise terminating and recurring decimals, using digital tools as appropriate

  4. AC9M8N04use the 4 operations with integers and with rational numbers, choosing and using efficient strategies and digital tools where appropriate

  5. AC9M8N05use mathematical modelling to solve practical problems involving rational numbers and percentages, including financial contexts; formulate problems, choosing efficient calculation strategies and using digital tools where appropriate; interpret and communicate solutions in terms of the situation, reviewing the appropriateness of the model

Algebra

  1. AC9M8A01create, expand, factorise, rearrange and simplify linear expressions, applying the associative, commutative, identity, distributive and inverse properties

  2. AC9M8A02graph linear relations on the Cartesian plane using digital tools where appropriate; solve linear equations and one-variable inequalities using graphical and algebraic techniques; verify solutions by substitution

  3. AC9M8A03use mathematical modelling to solve applied problems involving linear relations, including financial contexts; formulate problems with linear functions, choosing a representation; interpret and communicate solutions in terms of the situation, reviewing the appropriateness of the model

  4. AC9M8A04experiment with linear functions and relations using digital tools, making and testing conjectures and generalising emerging patterns

Measurement

  1. AC9M8M01solve problems involving the area and perimeter of irregular and composite shapes using appropriate units

  2. AC9M8M02solve problems involving the volume and capacity of right prisms using appropriate units

  3. AC9M8M03solve problems involving the circumference and area of a circle using formulas and appropriate units

  4. AC9M8M04solve problems involving duration, including using 12- and 24-hour time across multiple time zones

  5. AC9M8M05recognise and use rates to solve problems involving the comparison of 2 related quantities of different units of measure

  6. AC9M8M06use Pythagoras’ theorem to solve problems involving the side lengths of right-angled triangles

  7. AC9M8M07use mathematical modelling to solve practical problems involving ratios and rates, including financial contexts; formulate problems; interpret and communicate solutions in terms of the situation, reviewing the appropriateness of the model

Space

  1. AC9M8SP01identify the conditions for congruence and similarity of triangles and explain the conditions for other sets of common shapes to be congruent or similar, including those formed by transformations

  2. AC9M8SP02establish properties of quadrilaterals using congruent triangles and angle properties, and solve related problems explaining reasoning

  3. AC9M8SP03describe the position and location of objects in 3 dimensions in different ways, including using a three-dimensional coordinate system with the use of dynamic geometric software and other digital tools

  4. AC9M8SP04design, create and test algorithms involving a sequence of steps and decisions that identify congruency or similarity of shapes, and describe how the algorithm works

Statistics

  1. AC9M8ST01investigate techniques for data collection including census, sampling, experiment and observation, and explain the practicalities and implications of obtaining data through these techniques

  2. AC9M8ST02analyse and report on the distribution of data from primary and secondary sources using random and non-random sampling techniques to select and study samples

  3. AC9M8ST03compare variations in distributions and proportions obtained from random samples of the same size drawn from a population and recognise the effect of sample size on this variation

  4. AC9M8ST04plan and conduct statistical investigations involving samples of a population; use ethical and fair methods to make inferences about the population and report findings, acknowledging uncertainty

    No practice for this one yet.

Probability

  1. AC9M8P01recognise that complementary events have a combined probability of one; use this relationship to calculate probabilities in applied contexts

  2. AC9M8P02determine all possible combinations for 2 events, using two-way tables, tree diagrams and Venn diagrams, and use these to determine probabilities of specific outcomes in practical situations

  3. AC9M8P03conduct repeated chance experiments and simulations, using digital tools to determine probabilities for compound events, and describe results

Other Year 8 skills

Year 8 skills not currently linked to an entry on this page. These may include revision, extension practice, or skills still awaiting a curriculum mapping.

Copyright © 2023-2026 Mathpractice.xyz and Oloum.xyz (ABN: 39 786 035 724). All rights reserved.