# reSolve: Mechanical linkages – Angles and lines

This sequence of lessons explores the geometry of angles using real-world contexts including the dynamics of folding and joints. Students investigate side lengths and angles, using physical models and computer simulation. There are opportunities to develop geometric language and to highlight how mathematical structures such as points, lines and angles can be seen in real objects, linking geometry diagrams with real things. 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: Maths by Inquiry special topic 'Mechanical Linkages and Deductive Geometry'.

Year level(s) Year 7
Audience Teacher
Purpose Teaching resource
Teaching strategies and pedagogical approaches Mathematics investigation
Keywords angles, triangles (Shapes), parallel lines, protractors, sides (Polygons), maths investigations

## Curriculum alignment

Curriculum connections Numeracy, STEM/STEAM
Strand and focus Space, Build understanding
Topics Angles and geometric reasoning
AC: Mathematics (V9.0) content descriptions
AC9M7M04
Identify corresponding, alternate and co-interior relationships between angles formed when parallel lines are crossed by a transversal; use them to solve problems and explain reasons

AC9M7SP02
Classify triangles, quadrilaterals and other polygons according to their side and angle properties; identify and reason about relationships

Numeracy progression Understanding geometric properties (P4, P6)