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Year 7: Australian Curriculum v9

Listed Mathematics content descriptions at Year 7, 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.

  • 30content descriptions
  • 85skills 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. AC9M7N01describe the relationship between perfect square numbers and square roots, and use squares of numbers and square roots of perfect square numbers to solve problems

  2. AC9M7N02represent natural numbers as products of powers of prime numbers using exponent notation

  3. AC9M7N03represent natural numbers in expanded notation using place value and powers of 10

  4. AC9M7N04find equivalent representations of rational numbers and represent rational numbers on a number line

  5. AC9M7N05round decimals to a given accuracy appropriate to the context and use appropriate rounding and estimation to check the reasonableness of solutions

  6. AC9M7N06use the 4 operations with positive rational numbers including fractions, decimals and percentages to solve problems using efficient calculation strategies

  7. AC9M7N07compare, order and solve problems involving addition and subtraction of integers

  8. AC9M7N08recognise, represent and solve problems involving ratios

  9. AC9M7N09use 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

Algebra

  1. AC9M7A01recognise and use variables to represent everyday formulas algebraically and substitute values into formulas to determine an unknown

  2. AC9M7A02formulate algebraic expressions using constants, variables, operations and brackets

  3. AC9M7A03solve one-variable linear equations with natural number solutions; verify the solution by substitution

  4. AC9M7A04describe relationships between variables represented in graphs of functions from authentic data

  5. AC9M7A05generate tables of values from visually growing patterns or the rule of a function; describe and plot these relationships on the Cartesian plane

  6. AC9M7A06manipulate formulas involving several variables using digital tools, and describe the effect of systematic variation in the values of the variables

Measurement

  1. AC9M7M01solve problems involving the area of triangles and parallelograms using established formulas and appropriate units

  2. AC9M7M02solve problems involving the volume of right prisms including rectangular and triangular prisms, using established formulas and appropriate units

  3. AC9M7M03describe the relationship between \(π\) and the features of circles including the circumference, radius and diameter

  4. AC9M7M04identify corresponding, alternate and co-interior relationships between angles formed when parallel lines are crossed by a transversal; use them to solve problems and explain reasons

  5. AC9M7M05demonstrate that the interior angle sum of a triangle in the plane is 180° and apply this to determine the interior angle sum of other shapes and the size of unknown angles

  6. AC9M7M06use mathematical modelling to solve practical problems involving ratios; formulate problems, interpret and communicate solutions in terms of the situation, justifying choices made about the representation

Space

  1. AC9M7SP01represent objects in 2 dimensions; discuss and reason about the advantages and disadvantages of different representations

  2. AC9M7SP02classify triangles, quadrilaterals and other polygons according to their side and angle properties; identify and reason about relationships

  3. AC9M7SP03describe transformations of a set of points using coordinates in the Cartesian plane, translations and reflections on an axis, and rotations about a given point

  4. AC9M7SP04design and create algorithms involving a sequence of steps and decisions that will sort and classify sets of shapes according to their attributes, and describe how the algorithms work

Statistics

  1. AC9M7ST01acquire data sets for discrete and continuous numerical variables and calculate the range, median, mean and mode; make and justify decisions about which measures of central tendency provide useful insights into the nature of the distribution of data

  2. AC9M7ST02create different types of numerical data displays including stem-and-leaf plots using software where appropriate; describe and compare the distribution of data, commenting on the shape, centre and spread including outliers and determining the range, median, mean and mode

  3. AC9M7ST03plan and conduct statistical investigations involving data for discrete and continuous numerical variables; analyse and interpret distributions of data and report findings in terms of shape and summary statistics

Probability

  1. AC9M7P01identify the sample space for single-stage events; assign probabilities to the outcomes of these events and predict relative frequencies for related events

  2. AC9M7P02conduct repeated chance experiments and run simulations with a large number of trials using digital tools; compare predictions about outcomes with observed results, explaining the differences

Other Year 7 skills

Year 7 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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