reSolve: Mathematical modelling – Cornering

This unit is about the way in which long vehicles, such as buses, turn corners. Students start with paper scale models, experiment with a bike then use pre-made dynamic geometry programs that highlight the geometric features of cornering, considering the vehicles’ width and front and back overhangs. They prepare a road safety presentation and a report to council about road design.

Additional details
Year level(s)	Year 8, Year 9
Audience	Teacher
Purpose	Teaching resource
Format	Downloadable resources
Teaching strategies and pedagogical approaches	Mathematics investigation
Keywords	circles, angles, modelling
Curriculum alignment
Curriculum connections	Numeracy
Strand and focus	Space, Apply understanding
Topics	Pythagoras and trigonometry, Angles and geometric reasoning
AC: Mathematics (V9.0) content descriptions	AC9M8M06 Use Pythagoras' theorem to solve problems involving the side lengths of right-angled triangles AC9M9M03 Solve spatial problems, applying angle properties, scale, similarity, Pythagoras' theorem and trigonometry in right-angled triangles
Numeracy progression	Understanding geometric properties (P7) Understanding units of measurement (P10) Multiplicative strategies (P9) 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.