Australian Curriculum • Year 7 • Maths
Year 7 Maths Curriculum Australia: What Students Learn and How to Practise
Year 7 Maths marks a shift into more formal secondary mathematics. Integers, rational numbers, ratios and percentages, algebra, linear relationships, measurement, geometry, probability and statistics require students to generalise ideas they previously met in concrete contexts.
Make the transition to symbols meaningful
Algebra should connect to patterns, tables and relationships rather than appear as a set of unexplained manipulation rules. Likewise, negative numbers and rational numbers are easier to understand when number lines and contexts are used before shortcuts.
Use exact curriculum units
The Year 7 Maths curriculum units let learners isolate one concept at a time. SkillrHub links Topic Guide, Teacher Slides, Worksheet, Practice and Test so students can move from explanation to independent application without changing topic.
Practise transfer, not imitation
After a worked example, change the numbers, representation or problem type. Ask students to explain why a method is valid and when it would not apply. This helps distinguish genuine understanding from copying a procedure.
Use errors as clues
Sign errors, ratio errors and algebra mistakes often have predictable causes. Identify the misconception, return to the matching explanation and then attempt a new question. Targeted correction is more efficient than repeating an entire mixed worksheet.
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Australian Curriculum v9
Year 7 Maths curriculum codes at a glance
This guide is linked to the exact Australian Curriculum v9 content descriptions used by SkillrHub. There are 30 Year 7 Maths curriculum codes in this subject. Use the code list below to move from the broad year-level overview to the exact skill a student is learning.
Number
AC9M7N01 — The relationship between perfect square numbers and square roots, and...
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...
represent natural numbers as products of powers of prime numbers using exponent notation.
AC9M7N03 — Represent natural numbers in expanded notation using place value and...
represent natural numbers in expanded notation using place value and powers of 10.
AC9M7N04 — Find equivalent representations of rational numbers and represent rational numbers...
find equivalent representations of rational numbers and represent rational numbers on a number line.
AC9M7N05 — Round decimals to a given accuracy appropriate to the context...
round decimals to a given accuracy appropriate to the context and use appropriate rounding and estimation to check the reasonableness of solutions.
AC9M7N06 — The 4 operations with positive rational numbers including fractions, decimals...
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...
compare, order and solve problems involving addition and subtraction of integers.
AC9M7N08 — Recognise, represent and solve problems involving ratios
recognise, represent and solve problems involving ratios.
AC9M7N09 — Mathematical modelling to solve practical problems, involving rational numbers and...
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.
Algebra
AC9M7A01 — And use variables to represent everyday formulas algebraically and substitute...
recognise and use variables to represent everyday formulas algebraically and substitute values into formulas to determine an unknown.
AC9M7A02 — Formulate algebraic expressions using constants, variables, operations and brackets
formulate algebraic expressions using constants, variables, operations and brackets.
AC9M7A03 — Solve one-variable linear equations with natural number solutions; verify the...
solve one-variable linear equations with natural number solutions; verify the solution by substitution.
AC9M7A04 — Relationships between variables represented in graphs of functions from authentic...
describe relationships between variables represented in graphs of functions from authentic data.
AC9M7A05 — Generate tables of values from visually growing patterns or the...
generate tables of values from visually growing patterns or the rule of a function; describe and plot these relationships on the Cartesian plane.
AC9M7A06 — Manipulate formulas involving several variables using digital tools, and describe...
manipulate formulas involving several variables using digital tools, and describe the effect of systematic variation in the values of the variables.
Measurement
AC9M7M01 — Solve problems involving the area of triangles and parallelograms using...
solve problems involving the area of triangles and parallelograms using established formulas and appropriate units.
AC9M7M02 — Solve problems involving the volume of right prisms including rectangular...
solve problems involving the volume of right prisms including rectangular and triangular prisms, using established formulas and appropriate units.
AC9M7M03 — The relationship between π and the features of circles including...
describe the relationship between π and the features of circles including the circumference, radius and diameter.
AC9M7M04 — Corresponding, alternate and co-interior relationships between angles formed when parallel...
identify 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.
AC9M7M05 — Demonstrate that the interior angle sum of a triangle in...
demonstrate 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.
AC9M7M06 — Mathematical modelling to solve practical problems involving ratios; formulate problems...
use 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
AC9M7SP01 — Represent objects in 2 dimensions; discuss and reason about the...
represent objects in 2 dimensions; discuss and reason about the advantages and disadvantages of different representations.
AC9M7SP02 — Classify triangles, quadrilaterals and other polygons according to their side...
classify triangles, quadrilaterals and other polygons according to their side and angle properties; identify and reason about relationships.
AC9M7SP03 — Transformations of a set of points using coordinates in the...
describe transformations of a set of points using coordinates in the Cartesian plane, translations and reflections on an axis, and rotations about a given point.
AC9M7SP04 — Design and create algorithms involving a sequence of steps and...
design 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
AC9M7ST01 — Acquire data sets for discrete and continuous numerical variables and...
acquire 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.
AC9M7ST02 — Different types of numerical data displays including stem-and-leaf plots using...
create 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.
AC9M7ST03 — Plan and conduct statistical investigations involving data for discrete and...
plan 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
AC9M7P01 — The sample space for single-stage events; assign probabilities to the...
identify the sample space for single-stage events; assign probabilities to the outcomes of these events and predict relative frequencies for related events.
AC9M7P02 — Conduct repeated chance experiments and run simulations with a large...
conduct 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.
Curriculum descriptions are reproduced from the curriculum data used to organise SkillrHub resources. The Australian Curriculum remains the authority for official wording and scope.
Free-first learning
Try the free resources first
Before committing to another monthly or yearly learning subscription, use the free curriculum-linked resources available for the student’s current topic. Start with the Topic Guide, use Practice, review mistakes and then take the separate Test.
A larger paid question bank or learning program can be useful, but paying for more volume does not guarantee that a student will use it consistently. If the learner is already working through the free resources and still needs extra tutoring, marking, adaptive practice, reporting or more question volume, compare paid options for that specific need.
Free-first check: establish a consistent Learn → Practice → Test routine before deciding whether an additional paid service offers something the learner will genuinely use.