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The Geometer's warehouse
This website has been developed to provide a range of activities that demonstrate and explore geometric properties, based on the NSW curriculum. It covers a wide range of topics from the properties of geometric figures, angle relationships, Pythagoras' theorem, trigonometry and circle geometry.
|Year 7, Year 8, Year 9, Year 10
|Content knowledge, Student task, Teaching resource
|Teaching strategies and pedagogical approaches
|Explicit teaching, Questioning, Concrete Representational Abstract model
|angles, geometry, trigonometry, Pythagoras, circle
|Critical and creative thinking
|Strand and focus
|Space, Apply understanding, Build understanding
|Angles and geometric reasoning, Pythagoras and trigonometry
|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
Classify triangles, quadrilaterals and other polygons according to their side and angle properties; identify and reason about relationships
Describe the relationship between π and the features of circles including the circumference, radius and diameter
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
Establish properties of quadrilaterals using congruent triangles and angle properties, and solve related problems explaining reasoning
Use Pythagoras' theorem to solve problems involving the side lengths of right-angled triangles
Solve spatial problems, applying angle properties, scale, similarity, Pythagoras' theorem and trigonometry in right-angled triangles
Solve practical problems applying Pythagoras' theorem and trigonometry of right-angled triangles, including problems involving direction and angles of elevation and depression
Proportional thinking (P6, P7)
Understanding geometric properties (P4, P6, P7)
Understanding units of measurement (P9, P10)
NSW Department of Education. Creative Commons BY 4.0.
© State of New South Wales (Department of Education),2021. Creative Commons BY 4.0.