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Year 9 · Mathematics · Algebra

AC9M9A04

identify 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

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 9.

AC9M9A01

apply the exponent laws to numerical expressions with integer exponents and extend to variables

AC9M9A02

simplify algebraic expressions, expand binomial products and factorise monic quadratic expressions

AC9M9A03

find the gradient of a line segment, the midpoint of the line interval and the distance between 2 distinct points on the Cartesian plane

AC9M9A05

use 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

AC9M9A06

experiment 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

The same idea, year by year

Where AC9M9A04 comes from and where it goes, for a student working below or above Year 9.

  1. Year 8AC9M8A01create, expand, factorise, rearrange and simplify linear expressions, applying the associative, commutative, identity, distributive and inverse properties
  2. Year 8AC9M8A02graph 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
  3. Year 8AC9M8A03use 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
  4. Year 8AC9M8A04experiment with linear functions and relations using digital tools, making and testing conjectures and generalising emerging patterns
  5. Year 10AC9M10A01expand, factorise and simplify expressions and solve equations algebraically, applying exponent laws involving products, quotients and powers of variables, and the distributive property
  6. Year 10AC9M10A02solve linear inequalities and simultaneous linear equations in 2 variables; interpret solutions graphically and communicate solutions in terms of the situation
  7. Year 10AC9M10A03recognise the connection between algebraic and graphical representations of exponential relations and solve related exponential equations, using digital tools where appropriate
  8. Year 10AC9M10A04use mathematical modelling to solve applied problems involving growth and decay, including financial contexts; formulate problems, choosing to apply linear, quadratic or exponential models; interpret solutions in terms of the situation; evaluate and modify models as necessary and report assumptions, methods and findings
  9. Year 10AC9M10A05experiment with functions and relations using digital tools, making and testing conjectures and generalising emerging patterns

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