Please note: This site contains links to websites not controlled by the Australian Government or ESA. More information here.
Similarity
From the AMSI ‘Supporting Australian Mathematics Project’, this resource gives detailed explanations for teachers and students of the curriculum content, worked examples and assessment questions. This resource focuses on the rules for similarity and the transformation of enlargement.
Additional details |
|
| Year level(s) | Year 9 |
|---|---|
| Audience | Teacher |
| Purpose | Content knowledge, Teaching resource, Student task |
| Format | Web page |
| Teaching strategies and pedagogical approaches | Explicit teaching |
| Keywords | transformation, ratio, triangle, angle, proof, congruent, similar, scale factor, enlargement |
Curriculum alignment |
|
| Curriculum connections | Critical and creative thinking, Numeracy |
| Strand and focus | Space |
| Topics | Angles and geometric reasoning |
| AC: Mathematics (V9.0) content descriptions |
AC9M9M03
Solve spatial problems, applying angle properties, scale, similarity, Pythagoras' theorem and trigonometry in right-angled triangles |
| Numeracy progression |
Understanding geometric properties (P7)
Proportional thinking (P7) Understanding units of measurement (P10) |
Copyright details |
|
| Organisation | AMSI |
| Copyright | © The University of Melbourne. Creative Commons BY-NC-ND 3.0. |
Related resources
-
Area of a triangle inquiry
This prompt extends students' thinking about the area of a non-right-angled triangle.
Resource details -
Similarity: Enlargements
This resource explains the concepts of similarity and enlargement.
Resource details -
Finding side lengths of triangles
A series of tasks to help students understand the basics of the Pythagorean theorem, which describes the relationship between the side lengths of right-angled triangles.
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 -
reSolve: Mechanical linkages – similar triangles
A series of inquiry-based lessons about similar triangles.
Resource details -
reSolve: Mechanical linkages – geometry proofs
A series of inquiry-based lessons about geometrical proofs using the context of joints and folds.
Resource details