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reSolve: Mechanical linkages – similar triangles

This sequence of lessons explores the geometry of similar triangles using two real-world objects: ironing boards and pantographs. In the first lesson, students investigate different ironing board leg lengths and pivot positions using similar and congruent triangles. In the second lesson, they use their knowledge of parallelogram properties and similar triangles to explore and explain how pantographs work. Each lesson is outlined in detail including curriculum links, materials needed, sample answers, discussion points and student resources such as links for simulations online. This sequence is part of the reSolve: Maths by Inquiry special topic 'Mechanical linkages and deductive geometry'.

Resource details
Year level
Year 9
Purpose
Teaching resource
Strand
Space
Topic
Angles and geometric reasoning
Audience
Teachers
Format
Downloadable resource
Australian Curriculum code
AC9M9M03
Numeracy progression
Understanding geometric properties (P7) Understanding units of measurement (P10) Proportional thinking (P7)
Publisher
reSolve Maths by Inquiry
Copyright
© Australian Government Department of Education, Skills and Employment 2021. Creative Commons BY-NC-SA 4.0.
Keywords
shape