Please note: This site contains links to websites not controlled by the Australian Government or ESA. Read more in the Terms of Use.
Four scalene triangles inquiry
This prompt is a way of introducing the cosine rule for finding the angles in a scalene triangle. The resource includes classroom examples, teacher notes and guided questions, as well as alternative, extending prompts.
Additional details |
|
| Year level(s) | Year 9 |
|---|---|
| Audience | Teacher |
| Purpose | Assessment task, Extension, Student task, Teaching resource |
| Format | Downloadable resources |
| Teaching strategies and pedagogical approaches | Collaborative learning, Differentiated teaching, Explicit teaching, Feedback, Mathematics investigation |
| Keywords | scalene, triangle, trigonometry, cosine rule, angles |
Curriculum alignment |
|
| Curriculum connections | Critical and creative thinking, Numeracy |
| Strand and focus | Space, Build understanding, Apply understanding |
| Topics | Pythagoras and trigonometry |
| AC: Mathematics (V9.0) content descriptions |
AC9M9SP01
Recognise the constancy of the sine, cosine and tangent ratios for a given angle in right-angled triangles using properties of similarity |
| Numeracy progression |
Understanding geometric properties (P7)
Proportional thinking (P7) |
Copyright details |
|
| Organisation | Inquiry Maths |
| Copyright | © Andrew Blair 2012-21. Creative Commons BY-NC-SA 4.0. |
Related resources
-
Right-angled triangles inquiry
This inquiry makes a connection between Pythagoras and trigonometry.
Resource details -
reSolve: Geometry – lunch lap (Trial)
Two inquiry-based lessons where students are challenged to use Pythagoras' theorem to optimise the path of a lunch cart.
Resource details -
reSolve: Tree biomass
A series of inquiry-based lessons using mathematical strategies to estimate how many trees would be needed to supply paper to a school for a year.
Resource details -
reSolve: Pythagoras' theorem – phone finding
An inquiry-based lesson that uses Pythagoras' theorem in the context of how 'phone finding' works.
Resource details -
reSolve: Mathematical modelling – cornering
This series of inquiry-based lessons uses properties of circles, trigonometry and Pythagoras' theorem to investigate how long vehicles 'cut corners' when cornering.
Resource details -
Geometric reasoning (11 lessons)
In this sequence of 11 lessons, students apply similarity, enlargement and Pythagoras’ theorem to calculate lengths, areas and volumes, including on Cartesian planes.
Resource details -
WS02 - Cylinder volume
Use this work sample to guide assessment of students' knowledge and skills in applying formulas to solve problems involving the surface area and volume of cylinders.
Resource details