Please note: This site contains links to websites not controlled by the Australian Government or ESA. More information here.
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.
Additional details |
|
| Year level(s) | Year 8, Year 9 |
|---|---|
| Audience | Teacher |
| Purpose | Teaching resource |
| Format | Downloadable resources |
| 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) |
Copyright details |
|
| Organisation | reSolve Maths by Inquiry |
| Copyright | © Australian Government Department of Education, Skills and Employment 2021. Creative Commons BY-NC-SA 4.0. |
Related resources
-
Introduction to trigonometry
These lesson plans guide the teacher on how to introduce trigonometry to students through an investigation of similar triangles.
Resource details -
Scale factors inquiry
Does doubling the side of a cube double the volume?
Resource details -
Rectangle ratios inquiry 2
This prompt will build student understanding of the area of squares and rectangles, and introduces the golden ratio.
Resource details -
Four scalene triangles inquiry
The prompt explores finding the angles in related scalene triangles.
Resource details -
Equal areas inquiry
The process of calculating and comparing the areas of composite shapes, determining similarities and differences between the area, perimeter and height of shapes.
Resource details -
2-dimensional shapes inquiry
Investigate the relationship between the features of circles and 2D shapes. Using formulas to solve problems involving circumference and area.
Resource details -
Trigonometry
This resource focuses on the origins of trigonometrical ratios.
Resource details -
Right-angle triangle trigonometry
In this unit students build an understanding of ratios in right triangles, which leads to naming cosine, sine and tangent as trigonometric ratios.
Resource details