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Year 8 · Mathematics · Algebra

AC9M8A04

experiment with linear functions and relations using digital tools, making and testing conjectures and generalising emerging patterns

The content description above is Australian Curriculum, Assessment and Reporting Authority (ACARA)’s own wording, reproduced unmodified from the Australian Curriculum v9.0, read in August 2026, and licensed CC BY 4.0.

© Australian Curriculum, Assessment and Reporting Authority (ACARA) 2010 to present, unless otherwise indicated. This material was downloaded from the Australian Curriculum website and was not modified. ACARA does not endorse this product and is not affiliated with it.

Taught alongside it

The rest of Algebra in Year 8.

AC9M8A01

create, expand, factorise, rearrange and simplify linear expressions, applying the associative, commutative, identity, distributive and inverse properties

AC9M8A02

graph 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

AC9M8A03

use 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

The same idea, year by year

Where AC9M8A04 comes from and where it goes, for a student working below or above Year 8.

  1. Year 7AC9M7A01recognise and use variables to represent everyday formulas algebraically and substitute values into formulas to determine an unknown
  2. Year 7AC9M7A02formulate algebraic expressions using constants, variables, operations and brackets
  3. Year 7AC9M7A03solve one-variable linear equations with natural number solutions; verify the solution by substitution
  4. Year 7AC9M7A04describe relationships between variables represented in graphs of functions from authentic data
  5. Year 7AC9M7A05generate tables of values from visually growing patterns or the rule of a function; describe and plot these relationships on the Cartesian plane
  6. Year 7AC9M7A06manipulate formulas involving several variables using digital tools, and describe the effect of systematic variation in the values of the variables
  7. Year 9AC9M9A01apply the exponent laws to numerical expressions with integer exponents and extend to variables
  8. Year 9AC9M9A02simplify algebraic expressions, expand binomial products and factorise monic quadratic expressions
  9. Year 9AC9M9A03find the gradient of a line segment, the midpoint of the line interval and the distance between 2 distinct points on the Cartesian plane
  10. Year 9AC9M9A04identify and graph quadratic functions, solve quadratic equations graphically and numerically, and solve monic quadratic equations with integer roots algebraically, using graphing software and digital tools as appropriate
  11. Year 9AC9M9A05use mathematical modelling to solve applied problems involving change including financial contexts; formulate problems, choosing to use either linear or quadratic functions; interpret solutions in terms of the situation; evaluate the model and report methods and findings
  12. Year 9AC9M9A06experiment with the effects of the variation of parameters on graphs of related functions, using digital tools, making connections between graphical and algebraic representations, and generalising emerging patterns

Planning against AC9M8A04?

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