# 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.

Year level(s) Year 8, Year 9
Audience Teacher
Purpose Teaching resource
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)