# 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'.

Year level(s) Year 10
Audience Teacher
Purpose Teaching resource
Teaching strategies and pedagogical approaches Mathematics investigation
Keywords angles, similarity, congruence, chords, mathematical proofs, triangles

## Curriculum alignment

Curriculum connections Numeracy
Strand and focus Geometry, Build understanding, Apply understanding
Topics Shapes and objects, Angles and geometric reasoning
AC: Mathematics content descriptions
ACMMG243 Formulate proofs involving congruent triangles and angle properties
ACMMG244 Apply logical reasoning, including the use of congruence and similarity, to proofs and numerical exercises involving plane shapes
ACMMG272 Prove and apply angle and chord properties of circles
National numeracy learning progression Understanding geometric properties - UGP6