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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'.
|Year level(s)||Year 9, Year 10|
|Teaching strategies and pedagogical approaches||Mathematics investigation|
|Keywords||angles, similarity, congruence, chords, mathematical proofs, triangles|
|Strand and focus||Space, Build understanding, Apply understanding|
|Topics||Shapes and objects, Angles and geometric reasoning|
|AC: Mathematics (V9.0) content descriptions||
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
Apply deductive reasoning to proofs involving shapes in the plane and use theorems to solve spatial problems
Understanding geometric properties (P7)
Proportional thinking (P7)
reSolve Maths by Inquiry
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