AC9M9A04
Official content description
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
Teach AC9M9A04 this week?
TeachKoala turns this descriptor into a complete lesson — illustrated slides with teacher notes, a differentiated activity sheet and a quiz — aligned to AC9M9A04 specifically, never an invented code. Your first lesson is free.
or see a finished lesson and unit plan first
What Year 9 Maths students should achieve
Coverage is judged against the achievement standard — not by ticking every content description. These are the official Year 9 Maths standard sentences this code builds towards:
- Students assign probabilities to the outcomes of compound events.
- They determine percentage errors in measurements.
- Students expand binomial products, and factorise monic quadratic expressions.
- They design and conduct experiments or simulations for combined events using digital tools.
- Students apply Pythagoras’ theorem and use trigonometric ratios to solve problems involving right-angled triangles.
- They determine sets of outcomes for compound events and represent these in various ways.
The Algebra progression either side of AC9M9A04
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 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
Builds towards · Year 10
- AC9M10A01expand, factorise and simplify expressions and solve equations algebraically, applying exponent laws involving products, quotients and powers of variables, and the distributive property
- AC9M10A02solve linear inequalities and simultaneous linear equations in 2 variables; interpret solutions graphically and communicate solutions in terms of the situation
- AC9M10A03recognise the connection between algebraic and graphical representations of exponential relations and solve related exponential equations, using digital tools where appropriate
Other Year 9 Algebra codes
- AC9M9A01apply the exponent laws to numerical expressions with integer exponents and extend to variables
- AC9M9A02simplify algebraic expressions, expand binomial products and factorise monic quadratic expressions
- AC9M9A03find the gradient of a line segment, the midpoint of the line interval and the distance between 2 distinct points on the Cartesian plane
- AC9M9A05use 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
- AC9M9A06experiment 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
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.