AC9M7A03
Official content description
solve one-variable linear equations with natural number solutions; verify the solution by substitution
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What Year 7 Maths students should achieve
Coverage is judged against the achievement standard — not by ticking every content description. These are the official Year 7 Maths standard sentences this code builds towards:
- 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.
The Algebra progression either side of AC9M7A03
A class can only meet this descriptor if they were taught the one before it. If yours hasn't, that's where the lesson starts — not here.
Taught before · Year 6
- AC9M6A01recognise and use rules that generate visually growing patterns and number patterns involving rational numbers
- AC9M6A02find unknown values in numerical equations involving brackets and combinations of arithmetic operations, using the properties of numbers and operations
- AC9M6A03create and use algorithms involving a sequence of steps and decisions that use rules to generate sets of numbers; identify, interpret and explain emerging patterns
Builds towards · Year 8
- AC9M8A01create, expand, factorise, rearrange and simplify linear expressions, applying the associative, commutative, identity, distributive and inverse properties
- AC9M8A02graph linear relations on the Cartesian plane using digital tools where appropriate; solve linear equations and one-variable inequalities using graphical and algebraic techniques; verify solutions by substitution
- AC9M8A03use mathematical modelling to solve applied problems involving linear relations, including financial contexts; formulate problems with linear functions, choosing a representation; interpret and communicate solutions in terms of the situation, reviewing the appropriateness of the model
Other Year 7 Algebra codes
- 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
- 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
Content description and achievement standard © Australian Curriculum, Assessment and Reporting Authority (ACARA), Australian Curriculum Version 9, used under CC BY 4.0. TeachKoala is not affiliated with or endorsed by ACARA.