Please note: This site contains links to websites not controlled by the Australian Government or ESA. More information here.
Introductory congruence
This module from the AMSI 'The Improving Mathematics Education in Schools (TIMES) project is for teachers who wish to consolidate their content knowledge on the topic of congruence, including the four triangle tests. There are sections that provide history and context for the topic, as well as exercises and examples of how to present and explain the concepts to students.
Additional details |
|
| Year level(s) | Year 8, Year 9, Year 10 |
|---|---|
| Audience | Teacher, School Leader |
| Purpose | Content knowledge |
| Format | Downloadable resources |
| Keywords | congruence, triangles, angle, side, explicit teaching |
Curriculum alignment |
|
| Strand and focus | Space |
| Topics | Angles and geometric reasoning |
| AC: Mathematics (V9.0) content descriptions |
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
AC9M10SP01
Apply deductive reasoning to proofs involving shapes in the plane and use theorems to solve spatial problems |
| Numeracy progression |
Understanding geometric properties (P6, P7)
Proportional thinking (P6) |
Copyright details |
|
| Organisation | AMSI |
| Copyright | © The University of Melbourne. Creative Commons BY-NC-ND 3.0. |
Related resources
-
Pyramid inquiry
Using rules to determine the area, perimeter and height of pyramids, while also becoming aware of the features of pyramids.
Resource details -
What is similarity?
A series of lessons that explores the meaning of similarity and how shapes can be translated to prove they are similar.
Resource details -
Geometry: Similarity
In this unit, students use dilations and rigid transformations to justify triangle similarity theorems. The unit balances a focus on proof with a focus on using similar triangles to find unknown side lengths and angle measurements.
Resource details -
Similar triangles
This resource provides an explanation of the rules for triangles to be similar. The resource includes downloadable worksheets for students.
Resource details -
Similarity
This resource focuses on the rules for similarity and the transformation of enlargement, with detailed explanations, worked examples and assessment questions.
Resource details -
Congruence of plane figures
This resource explains the meaning of congruence and demonstrates the various proofs for triangles to be congruent.
Resource details -
The Geometer's warehouse
A collection of interactive learning objects for the teaching of geometry.
Resource details -
reSolve: Mechanical linkages – quadrilaterals
This unit focuses on investigating geometry, starting with real-life objects, then making working models and finally using pre-prepared dynamic geometry software.
Resource details