Years 7–10 · Australian Curriculum v9.0
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Year 7 topics
30 topics · Australian Curriculum v9.0. Change year level using the menu at the top of the page.
Number9
- AC9M7N01Square Numbers and Square RootsDescribe the relationship between perfect square numbers and square roots, and use squares of numbers and square roots of perfect square numbers to solve problemsOpen topic
- AC9M7N02Products of Prime PowersRepresent natural numbers as products of powers of prime numbers using exponent notationOpen topic
- AC9M7N03Expanded Notation with Powers of 10Represent natural numbers in expanded notation using place value and powers of 10Open topic
- AC9M7N04Rational Numbers on a Number LineFind equivalent representations of rational numbers and represent rational numbers on a number lineOpen topic
- AC9M7N05Rounding Decimals and EstimationRound decimals to a given accuracy appropriate to the context and use appropriate rounding and estimation to check the reasonableness of solutionsOpen topic
- AC9M7N06Operations with Positive Rational NumbersUse the 4 operations with positive rational numbers including fractions, decimals and percentages to solve problems using efficient calculation strategiesOpen topic
- AC9M7N07Addition and Subtraction of IntegersCompare, order and solve problems involving addition and subtraction of integersOpen topic
- AC9M7N08RatiosRecognise, represent and solve problems involving ratiosOpen topic
- AC9M7N09Mathematical Modelling with Rational NumbersUse 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 representationOpen topic
Algebra6
- AC9M7A01Variables and FormulasRecognise and use variables to represent everyday formulas algebraically and substitute values into formulas to determine an unknownOpen topic
- AC9M7A02Algebraic ExpressionsFormulate algebraic expressions using constants, variables, operations and bracketsOpen topic
- AC9M7A03Linear EquationsSolve one-variable linear equations with natural number solutions; verify the solution by substitutionOpen topic
- AC9M7A04Graphs of FunctionsDescribe relationships between variables represented in graphs of functions from authentic dataOpen topic
- AC9M7A05Tables of Values and Cartesian PlaneGenerate tables of values from visually growing patterns or the rule of a function; describe and plot these relationships on the Cartesian planeOpen topic
- AC9M7A06Manipulating Formulas with Digital ToolsManipulate formulas involving several variables using digital tools, and describe the effect of systematic variation in the values of the variablesOpen topic
Measurement6
- AC9M7M01Area of Triangles and ParallelogramsSolve problems involving the area of triangles and parallelograms using established formulas and appropriate unitsOpen topic
- AC9M7M02Volume of Right PrismsSolve problems involving the volume of right prisms including rectangular and triangular prisms, using established formulas and appropriate unitsOpen topic
- AC9M7M03Features of Circles and PiDescribe the relationship between π and the features of circles including the circumference, radius and diameterOpen topic
- AC9M7M04Angles and Parallel LinesIdentify corresponding, alternate and co-interior relationships between angles formed when parallel lines are crossed by a transversal; use them to solve problems and explain reasonsOpen topic
- AC9M7M05Interior Angle Sum of Triangles and PolygonsDemonstrate 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 anglesOpen topic
- AC9M7M06Mathematical Modelling with RatiosUse mathematical modelling to solve practical problems involving ratios; formulate problems, interpret and communicate solutions in terms of the situation, justifying choices made about the representationOpen topic
Space4
- AC9M7SP012D Representations of ObjectsRepresent objects in 2 dimensions; discuss and reason about the advantages and disadvantages of different representationsOpen topic
- AC9M7SP02Classifying Shapes and PolygonsClassify triangles, quadrilaterals and other polygons according to their side and angle properties; identify and reason about relationshipsOpen topic
- AC9M7SP03Transformations on the Cartesian PlaneDescribe transformations of a set of points using coordinates in the Cartesian plane, translations and reflections on an axis, and rotations about a given pointOpen topic
- AC9M7SP04Algorithms for Sorting ShapesDesign 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 workOpen topic
Statistics3
- AC9M7ST01Numerical Variables and Measures of CentreAcquire 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 dataOpen topic
- AC9M7ST02Numerical Data Displays and DistributionsCreate 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 modeOpen topic
- AC9M7ST03Statistical InvestigationsPlan 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 statisticsOpen topic
Probability2
- AC9M7P01Sample Space and Single-Stage ProbabilitiesIdentify the sample space for single-stage events; assign probabilities to the outcomes of these events and predict relative frequencies for related eventsOpen topic
- AC9M7P02Chance Experiments and SimulationsConduct repeated chance experiments and run simulations with a large number of trials using digital tools; compare predictions about outcomes with observed results, explaining the differencesOpen topic
Five tiers, one clear path
Questions adapt as you go: three correct answers in a row move you up, and you can switch tiers any time.
- Guided
Build confidence with visual scaffolds.
- Core
Year-level procedural fluency.
- Application
Worded problems and connected ideas.
- Mastery
Unfamiliar problems that need justification.
- Beyond
Competition-style thinking past the year level.