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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.
|Year level(s)||Year 9|
|Teaching strategies and pedagogical approaches||Mathematics investigation|
|Keywords||Pythagoras' theorem, right angled triangles, algorithm, modelling|
|Strand and focus||Measurement, Geometry, Build understanding, Apply understanding|
|Topics||Pythagoras and trigonometry, Angles and geometric reasoning|
|AC: Mathematics content descriptions||
ACMMG222 Investigate Pythagoras’ Theorem and its application to solving simple problems involving right angled triangles
|National numeracy learning progression||
Understanding geometric properties
Understanding units of measurement - UuM7
reSolve Maths by Inquiry
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