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Geometry and measurement: The basics

On this page there are links to papers on four modules that explain the basic concepts of geometry and measurement:

  • Geometrical properties
  • Perimeter, area and volume
  • Transforming shapes
  • Constructions

These papers provide details of the knowledge students should have and some of the misconceptions they may hold. Examples are given to illustrate these misconceptions, provide suggestions on how to address them, and support teachers in developing pedagogical and content knowledge.

Additional details

Year level(s) Year 7, Year 8
Audience Teacher, School Leader
Purpose Content knowledge
Format Downloadable resources
Keywords geometry, shape, transformation, properties, measurement, explicit teaching

Curriculum alignment

Strand and focus Measurement, Space
Topics Length, Pythagoras and trigonometry, Shapes and objects, Using units of measurement, Area, volume and surface area
AC: Mathematics (V9.0) content descriptions
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


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

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

Numeracy progression Understanding geometric properties (P6, P7)
Proportional thinking (P6)

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