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Year 7 · Mathematics · Number

AC9M7N04

find equivalent representations of rational numbers and represent rational numbers on a number line

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 7.

AC9M7N01

describe the relationship between perfect square numbers and square roots, and use squares of numbers and square roots of perfect square numbers to solve problems

AC9M7N02

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

AC9M7N03

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

AC9M7N05

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

AC9M7N06

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

AC9M7N07

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

AC9M7N08

recognise, represent and solve problems involving ratios

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

The same idea, year by year

Where AC9M7N04 comes from and where it goes, for a student working below or above Year 7.

  1. Year 6AC9M6N01recognise situations, including financial contexts, that use integers; locate and represent integers on a number line and as coordinates on the Cartesian plane
  2. Year 6AC9M6N02identify and describe the properties of prime, composite and square numbers and use these properties to solve problems and simplify calculations
  3. Year 6AC9M6N03apply 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. Year 6AC9M6N04apply 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. Year 6AC9M6N05solve problems involving addition and subtraction of fractions using knowledge of equivalent fractions
  6. Year 6AC9M6N06multiply 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. Year 6AC9M6N07solve 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. Year 6AC9M6N08approximate numerical solutions to problems involving rational numbers and percentages, including financial contexts, using appropriate estimation strategies
  9. Year 6AC9M6N09use 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
  10. Year 8AC9M8N01recognise irrational numbers in applied contexts, including square roots and \(π\)
  11. Year 8AC9M8N02establish and apply the exponent laws with positive integer exponents and the zero-exponent, using exponent notation with numbers
  12. Year 8AC9M8N03recognise terminating and recurring decimals, using digital tools as appropriate
  13. Year 8AC9M8N04use the 4 operations with integers and with rational numbers, choosing and using efficient strategies and digital tools where appropriate
  14. Year 8AC9M8N05use 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

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