Please note: This site contains links to websites not controlled by the Australian Government or ESA. More information here.
Introduction to plane geometry
From the AMSI ‘The Improving Mathematics Education in Schools (TIMES)' project, this module is for teachers who wish to consolidate their content knowledge on the topic of two-dimensional geometry. It looks at parallel lines, points, angles and the angle sum of a triangle. There are sections on the history, the context and exercises, as well as examples on how to present and explain the concepts to students.
Additional details |
|
| Year level(s) | Year 7 |
|---|---|
| Audience | Teacher |
| Purpose | Content knowledge |
| Format | Web page |
| Teaching strategies and pedagogical approaches | Explicit teaching |
| Keywords | Angle, Parallel lines, Point, Line |
Curriculum alignment |
|
| Curriculum connections | Critical and creative thinking, Numeracy |
| Strand and focus | Space |
| Topics | Angles and geometric reasoning |
| AC: Mathematics (V9.0) content descriptions |
AC9M7M01
Solve problems involving the area of triangles and parallelograms using established formulas and appropriate units
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 |
| Numeracy progression |
Understanding geometric properties (P6)
Understanding units of measurement (P9) |
Copyright details |
|
| Organisation | AMSI |
| Copyright | © The University of Melbourne. Creative Commons BY-NC-ND 3.0. |
Related resources
-
Parallel lines and angles in a triangle
In this activity students find the missing angle in a triangle and identify angles on parallel lines.
Resource details -
Alternate interior angles assessment activity
In this activity students identify and find the size of alternate angles.
Resource details -
Supplementary angles
In this activity students are shown what constitutes a supplementary angle and answer a series of questions to demonstrate their understanding.
Resource details -
The circle
How to introduce the vocabulary and basic formulae of circles
Resource details -
Parallel lines and the angle sum of a triangle
This resource focuses on drawing representations of solid objects, and gives detailed explanations of the curriculum content with worked examples and assessment questions.
Resource details