Please note: This site contains links to websites not controlled by the Australian Government or ESA. More information here.
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.
Additional details |
|
| 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) |
Copyright details |
|
| Organisation | NSW Department of Education. Creative Commons BY 4.0. |
| Copyright | © State of New South Wales (Department of Education),2021. Creative Commons BY 4.0. |
Related resources
-
Introduction to trigonometry
These lesson plans guide the teacher on how to introduce trigonometry to students through an investigation of similar triangles.
Resource details -
Mastering mathematics: The challenge of generalising and proof
An article on the different types of mathematical proof.
Resource details -
Reflections and coordinates inquiry
This prompt explores the effect of reflection in a given line on a Cartesian plane.
Resource details -
Pyramid inquiry
Using rules to determine the area, perimeter and height of pyramids, while also becoming aware of the features of pyramids.
Resource details -
Four scalene triangles inquiry
The prompt explores finding the angles in related scalene triangles.
Resource details -
Equation of a circle inquiry
This prompt will challenge students to explore their understanding of the equation of a circle.
Resource details -
Equal areas inquiry
The process of calculating and comparing the areas of composite shapes, determining similarities and differences between the area, perimeter and height of shapes.
Resource details -
Combined transformations inquiry
Investigating combinations of translations, reflections and rotations and describing on the Cartesian plane using coordinates. Identify line and rotational symmetries.
Resource details