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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.