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Year 6: Australian Curriculum v9

Listed Mathematics content descriptions at Year 6, 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.

  • 24content descriptions
  • 89skills 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. AC9M6N01recognise situations, including financial contexts, that use integers; locate and represent integers on a number line and as coordinates on the Cartesian plane

  2. AC9M6N02identify and describe the properties of prime, composite and square numbers and use these properties to solve problems and simplify calculations

  3. AC9M6N03apply knowledge of equivalence to compare, order and represent common fractions including halves, thirds and quarters on the same number line and justify their order

  4. AC9M6N04apply knowledge of place value to add and subtract decimals, using digital tools where appropriate; use estimation and rounding to check the reasonableness of answers

  5. AC9M6N05solve problems involving addition and subtraction of fractions using knowledge of equivalent fractions

  6. AC9M6N06multiply and divide decimals by multiples of powers of 10 without a calculator, applying knowledge of place value and proficiency with multiplication facts; using estimation and rounding to check the reasonableness of answers

  7. AC9M6N07solve problems that require finding a familiar fraction, decimal or percentage of a quantity, including percentage discounts, choosing efficient calculation strategies and using digital tools where appropriate

  8. AC9M6N08approximate numerical solutions to problems involving rational numbers and percentages, including financial contexts, using appropriate estimation strategies

  9. AC9M6N09use mathematical modelling to solve practical problems involving natural and rational numbers and percentages, including in financial contexts; formulate the problems, choosing operations and efficient calculation strategies, and using digital tools where appropriate; interpret and communicate solutions in terms of the situation, justifying the choices made

Algebra

  1. AC9M6A01recognise and use rules that generate visually growing patterns and number patterns involving rational numbers

  2. AC9M6A02find unknown values in numerical equations involving brackets and combinations of arithmetic operations, using the properties of numbers and operations

  3. AC9M6A03create and use algorithms involving a sequence of steps and decisions that use rules to generate sets of numbers; identify, interpret and explain emerging patterns

Measurement

  1. AC9M6M01convert between common metric units of length, mass and capacity; choose and use decimal representations of metric measurements relevant to the context of a problem

  2. AC9M6M02establish the formula for the area of a rectangle and use it to solve practical problems

  3. AC9M6M03interpret and use timetables and itineraries to plan activities and determine the duration of events and journeys

  4. AC9M6M04identify the relationships between angles on a straight line, angles at a point and vertically opposite angles; use these to determine unknown angles, communicating reasoning

Space

  1. AC9M6SP01compare the parallel cross-sections of objects and recognise their relationships to right prisms

  2. AC9M6SP02locate points in the 4 quadrants of a Cartesian plane; describe changes to the coordinates when a point is moved to a different position in the plane

  3. AC9M6SP03recognise and use combinations of transformations to create tessellations and other geometric patterns, using dynamic geometric software where appropriate

Statistics

  1. AC9M6ST01interpret and compare data sets for ordinal and nominal categorical, discrete and continuous numerical variables using comparative displays or visualisations and digital tools; compare distributions in terms of mode, range and shape

  2. AC9M6ST02identify statistically informed arguments presented in traditional and digital media; discuss and critique methods, data representations and conclusions

  3. AC9M6ST03plan and conduct statistical investigations by posing and refining questions or identifying a problem and collecting relevant data; analyse and interpret the data and communicate findings within the context of the investigation

Probability

  1. AC9M6P01recognise that probabilities lie on numerical scales of 0 – 1 or 0% – 100% and use estimation to assign probabilities that events occur in a given context, using common fractions, percentages and decimals

  2. AC9M6P02conduct repeated chance experiments and run simulations with an increasing number of trials using digital tools; compare observations with expected results and discuss the effect on variation of increasing the number of trials

Other Year 6 skills

Year 6 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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