Year 7 Maths — AC v9
All 30 content descriptions for Year 7 Maths in the Australian Curriculum Version 9, grouped by strand — each one links to its own page, and TeachKoala can turn any of them into a complete lesson (your first is free).
Achievement standard (what coverage means)
- •Students classify polygons according to their features and create an algorithm designed to sort and classify shapes.
- •They represent objects two-dimensionally in different ways, describing the usefulness of these representations.
- •Students choose between equivalent representations of rational numbers and percentages to assist in calculations.
- •Students interpret data in terms of the shape of distribution and summary statistics, identifying possible outliers.
- •Students solve problems involving addition and subtraction of integers.
- •They solve linear equations with natural number solutions.
- •They conduct repeated single-step chance experiments and run simulations using digital tools, giving reasons for differences between predicted and observed results.
- •By the end of Year 7, students represent natural numbers in expanded form and as products of prime factors, using exponent notation.
- •They solve problems involving squares of numbers and square roots of perfect square numbers.
- •They use all 4 operations in calculations involving positive fractions and decimals, choosing efficient calculation strategies.
- •They apply knowledge of angle relationships and the sum of angles in a triangle to solve problems, giving reasons.
- •Students use algebraic expressions to represent situations, describe the relationships between variables from authentic data and substitute values into formulas to determine unknown values.
- •Students create tables of values related to algebraic expressions and formulas, and describe the effect of variation.
- •Students use coordinates to describe transformations of points in the plane.
- •They plan and conduct statistical investigations involving discrete and continuous numerical data, using appropriate displays.
- •They use mathematical modelling to solve practical problems involving rational numbers, percentages and ratios, in financial and other applied contexts, justifying choices of representation.
- •They describe the relationships between the radius, diameter and circumference of a circle.
- •Students use formulas for the areas of triangles and parallelograms and the volumes of rectangular and triangular prisms to solve problems.
- •They decide which measure of central tendency is most suitable and explain their reasoning.
- •Students list sample spaces for single step experiments, assign probabilities to outcomes and predict relative frequencies for related events.
- AC9M7A01recognise and use variables to represent everyday formulas algebraically and substitute values into formulas to determine an unknown
- AC9M7A02formulate algebraic expressions using constants, variables, operations and brackets
- AC9M7A03solve one-variable linear equations with natural number solutions; verify the solution by substitution
- AC9M7A04describe relationships between variables represented in graphs of functions from authentic data
- AC9M7A05generate tables of values from visually growing patterns or the rule of a function; describe and plot these relationships on the Cartesian plane
- AC9M7A06manipulate formulas involving several variables using digital tools, and describe the effect of systematic variation in the values of the variables
- AC9M7M01solve problems involving the area of triangles and parallelograms using established formulas and appropriate units
- AC9M7M02solve problems involving the volume of right prisms including rectangular and triangular prisms, using established formulas and appropriate units
- AC9M7M03describe the relationship between π and the features of circles including the circumference, radius and diameter
- 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
- 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
- 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
- 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
- AC9M7N02represent natural numbers as products of powers of prime numbers using exponent notation
- AC9M7N03represent natural numbers in expanded notation using place value and powers of 10
- AC9M7N04find equivalent representations of rational numbers and represent rational numbers on a number line
- AC9M7N05round decimals to a given accuracy appropriate to the context and use appropriate rounding and estimation to check the reasonableness of solutions
- AC9M7N06use the 4 operations with positive rational numbers including fractions, decimals and percentages to solve problems using efficient calculation strategies
- AC9M7N07compare, order and solve problems involving addition and subtraction of integers
- AC9M7N08recognise, represent and solve problems involving ratios
- 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
- AC9M7P01identify the sample space for single-stage events; assign probabilities to the outcomes of these events and predict relative frequencies for related events
- 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
- AC9M7SP01represent objects in 2 dimensions; discuss and reason about the advantages and disadvantages of different representations
- AC9M7SP02classify triangles, quadrilaterals and other polygons according to their side and angle properties; identify and reason about relationships
- 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
- 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
- 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
- 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
- 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
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The Year 7 Maths planning scaffold
A one-page planning sheet with the official achievement standard, every content description grouped by strand, and space for your assessment and week-by-week sequence. Print it and plan on paper, or use it as the skeleton for a unit.
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Content descriptions and achievement standard © ACARA, Australian Curriculum Version 9, used under CC BY 4.0. TeachKoala is not affiliated with or endorsed by ACARA.