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Year 8 · Mathematics · Space

AC9M8SP04

design, create and test algorithms involving a sequence of steps and decisions that identify congruency or similarity of shapes, and describe how the algorithm works

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 Space in Year 8.

AC9M8SP01

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

AC9M8SP02

establish properties of quadrilaterals using congruent triangles and angle properties, and solve related problems explaining reasoning

AC9M8SP03

describe 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

The same idea, year by year

Where AC9M8SP04 comes from and where it goes, for a student working below or above Year 8.

  1. Year 7AC9M7SP01represent objects in 2 dimensions; discuss and reason about the advantages and disadvantages of different representations
  2. Year 7AC9M7SP02classify triangles, quadrilaterals and other polygons according to their side and angle properties; identify and reason about relationships
  3. Year 7AC9M7SP03describe transformations of a set of points using coordinates in the Cartesian plane, translations and reflections on an axis, and rotations about a given point
  4. Year 7AC9M7SP04design and create algorithms involving a sequence of steps and decisions that will sort and classify sets of shapes according to their attributes, and describe how the algorithms work
  5. Year 9AC9M9SP01recognise the constancy of the sine, cosine and tangent ratios for a given angle in right-angled triangles using properties of similarity
  6. Year 9AC9M9SP02apply 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
  7. Year 9AC9M9SP03design, test and refine algorithms involving a sequence of steps and decisions based on geometric constructions and theorems; discuss and evaluate refinements

Planning against AC9M8SP04?

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