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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 level(s) Year 7, Year 8, Year 9, Year 10
Audience Teacher
Purpose Content knowledge, Student task, Teaching resource
Format Interactive
Teaching strategies and pedagogical approaches Explicit teaching, Questioning, Concrete Representational Abstract model
Keywords angles, geometry, trigonometry, Pythagoras, circle

## Curriculum alignment

Curriculum connections Critical and creative thinking
Strand and focus Space, Apply understanding, Build understanding
Topics Angles and geometric reasoning, Pythagoras and trigonometry
AC: Mathematics (V9.0) content descriptions
AC9M7M04
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

AC9M7M05

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

AC9M7SP02
Classify triangles, quadrilaterals and other polygons according to their side and angle properties; identify and reason about relationships

AC9M7M03

Describe the relationship between π and the features of circles including the circumference, radius and diameter

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

AC9M8M06

Use Pythagoras' theorem to solve problems involving the side lengths of right-angled triangles

AC9M9M03

Solve spatial problems, applying angle properties, scale, similarity, Pythagoras' theorem and trigonometry in right-angled triangles

AC9M10M03

Solve practical problems applying Pythagoras' theorem and trigonometry of right-angled triangles, including problems involving direction and angles of elevation and depression

Numeracy progression Proportional thinking (P6, P7)
Understanding geometric properties (P4, P6, P7)
Understanding units of measurement (P9, P10)