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Year 10 · Mathematics · Measurement

AC9M10M05

use mathematical modelling to solve practical problems involving proportion and scaling of objects; formulate problems and interpret solutions in terms of the situation; evaluate and modify models as necessary, and report assumptions, methods and findings

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 Measurement in Year 10.

AC9M10M01

solve problems involving the surface area and volume of composite objects using appropriate units

AC9M10M02

interpret and use logarithmic scales  in applied contexts involving small and large quantities and change

AC9M10M03

solve practical problems applying Pythagoras’ theorem and trigonometry of right-angled triangles, including problems involving direction and angles of elevation and depression

AC9M10M04

identify the impact of measurement errors on the accuracy of results in practical contexts

The same idea, year by year

Where AC9M10M05 comes from and where it goes, for a student working below or above Year 10.

  1. Year 9AC9M9M01solve problems involving the volume and surface area of right prisms and cylinders using appropriate units
  2. Year 9AC9M9M02solve problems involving very small and very large measurements, time scales and intervals expressed in scientific notation
  3. Year 9AC9M9M03solve spatial problems, applying angle properties, scale, similarity, Pythagoras’ theorem and trigonometry in right-angled triangles
  4. Year 9AC9M9M04calculate and interpret absolute, relative and percentage errors in measurements, recognising that all measurements are estimates
  5. Year 9AC9M9M05use 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

Planning against AC9M10M05?

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