reSolve: Geometry: Lunch Lap (Trial) Image

Please note: This site contains links to websites not controlled by the Australian Government or ESA. More information here.

Go to website

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.

Additional details

Year level(s) Year 9
Audience Teacher
Purpose Teaching resource
Format Downloadable resources
Teaching strategies and pedagogical approaches Mathematics investigation
Keywords Pythagoras' theorem, right angled triangles, algorithm, modelling

Curriculum alignment

Curriculum connections Numeracy
Strand and focus Measurement, Space, Build understanding, Apply understanding
Topics Pythagoras and trigonometry, Angles and geometric reasoning
AC: Mathematics (V9.0) content descriptions

Use Pythagoras' theorem to solve problems involving the side lengths of right-angled triangles

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

Copyright details


reSolve Maths by Inquiry


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