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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
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.
|Year level(s)||Year 7, Year 8|
|Audience||Teacher, School Leader|
|Keywords||geometry, shape, transformation, properties, measurement, explicit teaching|
|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
Understanding geometric properties (P6, P7)
Proportional thinking (P6)
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