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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
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Congruence
Define congruence of plane shapes using transformation. Test for congruence in triangles. Look at the properties of quadrilaterals using triangles and angle properties, and solve numerical problems using reasoning.
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Pythagoras’ theorem
Introducing the Pythagorean theorem and Pythagorean triads.
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Big ideas in geometric reasoning
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Geometry: Foundation to Year 9
This comprehensive resource describes the progression of geometric reasoning.
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