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Decimals and percentages in the Australian Curriculum

Decimals, percentages and how they connect to fractions. 18 content descriptions from Version 9.0, by year level.

Year 4

  • AC9M4N01

    recognise and extend the application of place value to tenths and hundredths and use the conventions of decimal notation to name and represent decimals

    Number

    Plan this
  • AC9M4N03

    find equivalent representations of fractions using related denominators and make connections between fractions and decimal notation

    Number

    Plan this

All Year 4 Mathematics

Year 5

  • AC9M5N01

    interpret, compare and order numbers with more than 2 decimal places, including numbers greater than one, using place value understanding; represent these on a number line

    Number

    Plan this
  • AC9M5N04

    recognise that 100% represents the complete whole and use percentages to describe, represent and compare relative size; connect familiar percentages to their decimal and fraction equivalents

    Number

    Plan this
  • AC9M5N07

    solve problems involving division, choosing efficient strategies and using digital tools where appropriate; interpret any remainder according to the context and express results as a whole number, decimal or fraction

    Number

    Plan this

All Year 5 Mathematics

Year 6

  • AC9M6N04

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

    Number

    Plan this
  • AC9M6N06

    multiply 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

    Number

    Plan this
  • AC9M6N07

    solve 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

    Number

    Plan this
  • AC9M6N08

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

    Number

    Plan this
  • AC9M6N09

    use 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

    Number

    Plan this
  • AC9M6M01

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

    Measurement

    Plan this
  • AC9M6P01

    recognise 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

    Probability

    Plan this

All Year 6 Mathematics

Year 7

  • AC9M7N05

    round decimals to a given accuracy appropriate to the context and use appropriate rounding and estimation to check the reasonableness of solutions

    Number

    Plan this
  • AC9M7N06

    use the 4 operations with positive rational numbers including fractions, decimals and percentages to solve problems using efficient calculation strategies

    Number

    Plan this
  • AC9M7N09

    use mathematical modelling to solve practical problems, involving rational numbers and percentages, including financial contexts; formulate problems, choosing representations and efficient calculation strategies, using digital tools as appropriate; interpret and communicate solutions in terms of the situation, justifying choices made about the representation

    Number

    Plan this

All Year 7 Mathematics

Year 8

  • AC9M8N03

    recognise terminating and recurring decimals, using digital tools as appropriate

    Number

    Plan this
  • AC9M8N05

    use 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

    Number

    Plan this

All Year 8 Mathematics

Year 9

  • AC9M9M04

    calculate and interpret absolute, relative and percentage errors in measurements, recognising that all measurements are estimates

    Measurement

    Plan this

All Year 9 Mathematics

Questions teachers ask

Where does decimals and percentages appear in the Australian Curriculum?
18 Mathematics content descriptions from Year 4 to Year 9 mention decimals and percentages. They are listed here by year with their codes.
Can Heapso make decimals and percentages worksheets?
Yes. Choose "Plan this" next to a content description for a lesson set to that year, or make a worksheet at three levels so every student can practise the same skill.

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© Australian Curriculum, Assessment and Reporting Authority (ACARA) 2010 to present, unless otherwise indicated. This material was downloaded from the Australian Curriculum website (accessed 18 October 2026) and was not modified. The material is licensed under CC BY 4.0.

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