Please note: This site contains links to websites not controlled by the Australian Government or ESA. Read more in the Terms of Use.
reSolve: Mechanical linkages – geometry proofs
This series of six lessons explores geometry proofs using real-world contexts focused on the dynamics of linkages and moving joints. Students use physical models and computer simulations, the lessons move from a view of geometry as a study to static diagrams to encompass movement. Each lesson is outlined in detail including curriculum links, vocabulary, materials needed, sample answers, discussion points and student resources such as links for simulations online. This sequence is part of the reSolve: Mathematics by Inquiry special topic 'Mechanical linkages and deductive geometry'.
Additional details |
|
| Year level(s) | Year 9, Year 10 |
|---|---|
| Audience | Teacher |
| Purpose | Teaching resource |
| Format | Downloadable resources |
| Teaching strategies and pedagogical approaches | Mathematics investigation |
| Keywords | angles, similarity, congruence, chords, mathematical proofs, triangles |
Curriculum alignment |
|
| Curriculum connections | Numeracy |
| Strand and focus | Space, Build understanding, Apply understanding |
| Topics | Shapes and objects, Angles and geometric reasoning |
| AC: Mathematics (V9.0) content descriptions |
AC9M9SP02
Apply the enlargement transformation to shapes and objects using dynamic geometry software as appropriate; identify and explain aspects that remain the same and those that change
AC9M10SP01
Apply deductive reasoning to proofs involving shapes in the plane and use theorems to solve spatial problems |
| Numeracy progression |
Understanding geometric properties (P7)
Proportional thinking (P7) |
Copyright details |
|
| Organisation | reSolve Maths by Inquiry |
| Copyright | © Australian Government Department of Education, Skills and Employment 2021. Creative Commons BY-NC-SA 4.0. |
Related resources
-
Geometric reasoning (11 lessons)
In this sequence of 11 lessons, students apply similarity, enlargement and Pythagoras’ theorem to calculate lengths, areas and volumes, including on Cartesian planes.
Resource details -
Building with geometry (16 lessons)
In this sequence of 16 lessons, students use formulae, diagrams, and reasoning to calculate, solve, and prove geometric properties involving 3D shapes and trigonometry.
Resource details -
Proof: Year 10 – planning tool
This planning resource for Year 10 is for the topic of Proof.
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 -
The Geometer's warehouse
A collection of interactive learning objects for the teaching of geometry.
Resource details