reSolve: Geometry – lunch lap (Trial)

In this sequence of two lessons, students apply Pythagoras' theorem to explore a practical problem involving optimising paths to lunch carts. In the first lesson, students investigate the length of a path that touches three sides of a rectangle, starting and finishing at the same point. They model the problem, use Pythagoras' theorem to calculate the length of the path, then work with spreadsheets and GeoGebra models to find the shortest possible path. In the second lesson, students use geometric reasoning to find the positions of the carts and justify that the parallelogram is the shortest path. The lessons are outlined in detail including curriculum links, vocabulary, sample answers, spreadsheets of data, discussion points and student resources. This sequence is part of the reSolve: Mathematics by Inquiry program.

Resource details

Year level

Year 9

Purpose

Teaching resource

Strand

Measurement Space

Topic

Pythagoras and trigonometry Angles and geometric reasoning

Audience

Teachers

Format

Downloadable resource

Australian Curriculum code

AC9M8M06

Numeracy progression

Understanding units of measurement (P10) Understanding geometric properties (P7) Multiplicative strategies (P9)

Publisher

reSolve Maths by Inquiry

Copyright

© Australian Government Department of Education, Skills and Employment 2021. Creative Commons BY-NC-SA 4.0.

Keywords

Pythagoras's theorem algorithm modelling right angle