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Year 7 · Mathematics · Measurement

AC9M7M05

demonstrate that the interior angle sum of a triangle in the plane is 180° and apply this to determine the interior angle sum of other shapes and the size of unknown angles

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 7.

AC9M7M01

solve problems involving the area of triangles and parallelograms using established formulas and appropriate units

AC9M7M02

solve problems involving the volume of right prisms including rectangular and triangular prisms, using established formulas and appropriate units

AC9M7M03

describe the relationship between \(π\) and the features of circles including the circumference, radius and diameter

AC9M7M04

identify corresponding, alternate and co-interior relationships between angles formed when parallel lines are crossed by a transversal; use them to solve problems and explain reasons

AC9M7M06

use mathematical modelling to solve practical problems involving ratios; formulate problems, interpret and communicate solutions in terms of the situation, justifying choices made about the representation

The same idea, year by year

Where AC9M7M05 comes from and where it goes, for a student working below or above Year 7.

  1. Year 6AC9M6M01convert between common metric units of length, mass and capacity; choose and use decimal representations of metric measurements relevant to the context of a problem
  2. Year 6AC9M6M02establish the formula for the area of a rectangle and use it to solve practical problems
  3. Year 6AC9M6M03interpret and use timetables and itineraries to plan activities and determine the duration of events and journeys
  4. Year 6AC9M6M04identify the relationships between angles on a straight line, angles at a point and vertically opposite angles; use these to determine unknown angles, communicating reasoning
  5. Year 8AC9M8M01solve problems involving the area and perimeter of irregular and composite shapes using appropriate units
  6. Year 8AC9M8M02solve problems involving the volume and capacity of right prisms using appropriate units
  7. Year 8AC9M8M03solve problems involving the circumference and area of a circle using formulas and appropriate units
  8. Year 8AC9M8M04solve problems involving duration, including using 12- and 24-hour time across multiple time zones
  9. Year 8AC9M8M05recognise and use rates to solve problems involving the comparison of 2 related quantities of different units of measure
  10. Year 8AC9M8M06use Pythagoras’ theorem to solve problems involving the side lengths of right-angled triangles
  11. Year 8AC9M8M07use mathematical modelling to solve practical problems involving ratios and rates, including financial contexts; formulate problems; interpret and communicate solutions in terms of the situation, reviewing the appropriateness of the model

Planning against AC9M7M05?

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