AC9M8SP01
Official content description
identify 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
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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 Space progression either side of AC9M8SP01
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
- AC9M7SP01represent objects in 2 dimensions; discuss and reason about the advantages and disadvantages of different representations
- AC9M7SP02classify triangles, quadrilaterals and other polygons according to their side and angle properties; identify and reason about relationships
- AC9M7SP03describe transformations of a set of points using coordinates in the Cartesian plane, translations and reflections on an axis, and rotations about a given point
Builds towards · Year 9
- AC9M9SP01recognise the constancy of the sine, cosine and tangent ratios for a given angle in right-angled triangles using properties of similarity
- 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
Other Year 8 Space codes
- 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
- AC9M8SP04design, create and test algorithms involving a sequence of steps and decisions that identify congruency or similarity of shapes, and describe how the algorithm works
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.