AC9M9SP01
Official content description
recognise the constancy of the sine, cosine and tangent ratios for a given angle in right-angled triangles using properties of similarity
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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 Space progression either side of AC9M9SP01
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
- AC9M8SP01identify the conditions for congruence and similarity of triangles and explain the conditions for other sets of common shapes to be congruent or similar, including those formed by transformations
- AC9M8SP02establish properties of quadrilaterals using congruent triangles and angle properties, and solve related problems explaining reasoning
- AC9M8SP03describe the position and location of objects in 3 dimensions in different ways, including using a three-dimensional coordinate system with the use of dynamic geometric software and other digital tools
Builds towards · Year 10
- AC9M10SP01apply deductive reasoning to proofs involving shapes in the plane and use theorems to solve spatial problems
- AC9M10SP02interpret networks and network diagrams used to represent relationships in practical situations and describe connectedness
- AC9M10SP03design, test and refine solutions to spatial problems using algorithms and digital tools; communicate and justify solutions
Other Year 9 Space codes
- AC9M9SP02apply the enlargement transformation to shapes and objects using dynamic geometry software as appropriate; identify and explain aspects that remain the same and those that change
- AC9M9SP03design, test and refine algorithms involving a sequence of steps and decisions based on geometric constructions and theorems; discuss and evaluate refinements
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.