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# reSolve: Pythagoras' Theorem: Phone Finding

This lesson challenges students to apply Pythagoras' Theorem to explore a practical real-world problem. Students explore technology reliant on mathematical concepts. The lesson is outlined in detail including curriculum links, vocabulary, materials needed, sample answers, discussion points and student resources such as spreadsheets. This sequence is part of the reSolve: Maths by Inquiry program.

Year level(s) Year 8, Year 9
Audience Teacher
Purpose Teaching resource
Teaching strategies and pedagogical approaches Mathematics investigation
Keywords ratios scale, proportion, Pythagoras' Theorem, right-angled triangles, ratios

## Curriculum alignment

Curriculum connections Numeracy
Strand and focus Space, Measurement, Build understanding, Apply understanding
Topics Proportion, rates and ratios, Pythagoras and trigonometry
AC: Mathematics (V9.0) content descriptions
AC9M9M03

Solve spatial problems, applying angle properties, scale, similarity, Pythagoras' theorem and trigonometry in right-angled triangles

AC9M8M06

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)
Proportional thinking (P7)
Multiplicative strategies (P9)