AC9M9M05
Official content description
use mathematical modelling to solve practical problems involving direct proportion, rates, ratio and scale, including financial contexts; formulate the problems and interpret solutions in terms of the situation; evaluate the model and report methods and findings
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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 Measurement progression either side of AC9M9M05
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
- AC9M8M01solve problems involving the area and perimeter of irregular and composite shapes using appropriate units
- AC9M8M02solve problems involving the volume and capacity of right prisms using appropriate units
- AC9M8M03solve problems involving the circumference and area of a circle using formulas and appropriate units
Builds towards · Year 10
- AC9M10M01solve problems involving the surface area and volume of composite objects using appropriate units
- AC9M10M02interpret and use logarithmic scales in applied contexts involving small and large quantities and change
- AC9M10M03solve practical problems applying Pythagoras’ theorem and trigonometry of right-angled triangles, including problems involving direction and angles of elevation and depression
Other Year 9 Measurement codes
- AC9M9M01solve problems involving the volume and surface area of right prisms and cylinders using appropriate units
- AC9M9M02solve problems involving very small and very large measurements, time scales and intervals expressed in scientific notation
- AC9M9M03solve spatial problems, applying angle properties, scale, similarity, Pythagoras’ theorem and trigonometry in right-angled triangles
- AC9M9M04calculate and interpret absolute, relative and percentage errors in measurements, recognising that all measurements are estimates
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.