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Integers and indices in the Australian Curriculum

Integers, indices and number laws. 13 content descriptions from Version 9.0, by year level.

Year 4

  • AC9M4N05

    solve problems involving multiplying or dividing natural numbers by multiples and powers of 10 without a calculator, using the multiplicative relationship between the place value of digits

    Number

    Plan this

All Year 4 Mathematics

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

    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

All Year 6 Mathematics

Year 7

  • AC9M7N02

    represent natural numbers as products of powers of prime numbers using exponent notation

    Number

    Plan this
  • AC9M7N03

    represent natural numbers in expanded notation using place value and powers of 10

    Number

    Plan this
  • AC9M7N07

    compare, order and solve problems involving addition and subtraction of integers

    Number

    Plan this

All Year 7 Mathematics

Year 8

  • AC9M8N02

    establish and apply the exponent laws with positive integer exponents and the zero-exponent, using exponent notation with numbers

    Number

    Plan this
  • AC9M8N04

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

    Number

    Plan this

All Year 8 Mathematics

Year 9

  • AC9M9A01

    apply the exponent laws to numerical expressions with integer exponents and extend to variables

    Algebra

    Plan this
  • AC9M9A04

    identify and graph quadratic functions, solve quadratic equations graphically and numerically, and solve monic quadratic equations with integer roots algebraically, using graphing software and digital tools as appropriate

    Algebra

    Plan this

All Year 9 Mathematics

Year 10

  • AC9M10A01

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

    Algebra

    Plan this
  • AC9M10A03

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

    Algebra

    Plan this
  • AC9M10A04

    use 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

    Algebra

    Plan this

All Year 10 Mathematics

Questions teachers ask

Where does integers and indices appear in the Australian Curriculum?
13 Mathematics content descriptions from Year 4 to Year 10 mention integers and indices. They are listed here by year with their codes.
Can Heapso make integers and indices 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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