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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.
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
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Protractor quiz
Students are given an angle to measure using an interactive protractor. This quiz can help students distinguish the difference between the upper and lower scale.
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Sum of interior angles in a polygon
A series of student-based discovery activities that explore the sum of the interior angles of a polygon by deconstructing the polygons into triangles.
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Classifying triangles
An explanation of how to classify triangles by looking at their angles and lengths of sides. The resource includes explanations, videos, worked examples and questions.
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Supplementary angles
In this activity students are shown what constitutes a supplementary angle and answer a series of questions to demonstrate their understanding.
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Alternate interior angles assessment activity
In this activity students identify and find the size of alternate angles.
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Parallel lines and angles in a triangle
In this activity students find the missing angle in a triangle and identify angles on parallel lines.
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Alternate interior angles: Preparation
This is the first of a series of lessons that explore angles and parallel lines using dynamic geometry.
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Introduction to plane geometry
This module is for teachers who wish to consolidate their content knowledge on the topic of two-dimensional geometry.
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