AC9M8M06
Official content description
use Pythagoras’ theorem to solve problems involving the side lengths of right-angled triangles
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What Year 8 Maths students should achieve
Coverage is judged against the achievement standard — not by ticking every content description. These are the official Year 8 Maths standard sentences this code builds towards:
- By the end of Year 8, students recognise irrational numbers and terminating or recurring decimals.
- Students use mathematical modelling to solve problems using linear relations, interpreting and reviewing the model in context.
- They conduct statistical investigations and explain the implications of obtaining data through sampling.
- Students use 3 dimensions to locate and describe position.
- They use Pythagoras’ theorem to solve measurement problems involving unknown lengths of right-angle triangles.
- They apply the exponent laws to calculations with numbers involving positive integer exponents.
The Measurement progression either side of AC9M8M06
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 7
- AC9M7M01solve problems involving the area of triangles and parallelograms using established formulas and appropriate units
- AC9M7M02solve problems involving the volume of right prisms including rectangular and triangular prisms, using established formulas and appropriate units
- AC9M7M03describe the relationship between π and the features of circles including the circumference, radius and diameter
Builds towards · Year 9
- 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
Other Year 8 Measurement codes
- 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
- AC9M8M04solve problems involving duration, including using 12- and 24-hour time across multiple time zones
- AC9M8M05recognise and use rates to solve problems involving the comparison of 2 related quantities of different units of measure
- AC9M8M07use 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
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.