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Year 6 · Mathematics · Number

AC9M6N02

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

The content description above is Australian Curriculum, Assessment and Reporting Authority (ACARA)’s own wording, reproduced unmodified from the Australian Curriculum v9.0, read in August 2026, and licensed CC BY 4.0.

© Australian Curriculum, Assessment and Reporting Authority (ACARA) 2010 to present, unless otherwise indicated. This material was downloaded from the Australian Curriculum website and was not modified. ACARA does not endorse this product and is not affiliated with it.

Taught alongside it

The rest of Number in Year 6.

AC9M6N01

recognise situations, including financial contexts, that use integers; locate and represent integers on a number line and as coordinates on the Cartesian plane

AC9M6N03

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

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

AC9M6N05

solve problems involving addition and subtraction of fractions using knowledge of equivalent fractions

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

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

AC9M6N08

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

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

The same idea, year by year

Where AC9M6N02 comes from and where it goes, for a student working below or above Year 6.

  1. Year 5AC9M5N01interpret, 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
  2. Year 5AC9M5N02express natural numbers as products of their factors, recognise multiples and determine if one number is divisible by another
  3. Year 5AC9M5N03compare and order fractions with the same and related denominators including mixed numerals, applying knowledge of factors and multiples; represent these fractions on a number line
  4. Year 5AC9M5N04recognise 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
  5. Year 5AC9M5N05solve problems involving addition and subtraction of fractions with the same or related denominators, using different strategies
  6. Year 5AC9M5N06solve problems involving multiplication of larger numbers by one- or two-digit numbers, choosing efficient calculation strategies and using digital tools where appropriate; check the reasonableness of answers
  7. Year 5AC9M5N07solve 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
  8. Year 5AC9M5N08check and explain the reasonableness of solutions to problems including financial contexts using estimation strategies appropriate to the context
  9. Year 5AC9M5N09use mathematical modelling to solve practical problems involving additive and multiplicative situations including financial contexts; formulate the problems, choosing operations and efficient calculation strategies, using digital tools where appropriate; interpret and communicate solutions in terms of the situation
  10. Year 5AC9M5N10create and use algorithms involving a sequence of steps and decisions and digital tools to experiment with factors, multiples and divisibility; identify, interpret and describe emerging patterns
  11. Year 7AC9M7N01describe the relationship between perfect square numbers and square roots, and use squares of numbers and square roots of perfect square numbers to solve problems
  12. Year 7AC9M7N02represent natural numbers as products of powers of prime numbers using exponent notation
  13. Year 7AC9M7N03represent natural numbers in expanded notation using place value and powers of 10
  14. Year 7AC9M7N04find equivalent representations of rational numbers and represent rational numbers on a number line
  15. Year 7AC9M7N05round decimals to a given accuracy appropriate to the context and use appropriate rounding and estimation to check the reasonableness of solutions
  16. Year 7AC9M7N06use the 4 operations with positive rational numbers including fractions, decimals and percentages to solve problems using efficient calculation strategies
  17. Year 7AC9M7N07compare, order and solve problems involving addition and subtraction of integers
  18. Year 7AC9M7N08recognise, represent and solve problems involving ratios
  19. Year 7AC9M7N09use 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

Planning against AC9M6N02?

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