Please note: This site contains links to websites not controlled by the Australian Government or ESA. More information here.
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. Students encounter several contexts to both make sense of and apply right-angle triangle measurement.
Additional details |
|
| Year level(s) | Year 9 |
|---|---|
| Audience | Teacher |
| Purpose | Student task, Teaching resource, Content knowledge |
| Format | Web page |
| Teaching strategies and pedagogical approaches | Explicit teaching |
| Keywords | Pythagoras, Hypotenuse, Adjacent, Opposite, Tangent, Cosine, Sine, Angle, Ratio, Similar, Trigonometry, Right-angled triangle |
Curriculum alignment |
|
| Curriculum connections | Critical and creative thinking, Numeracy |
| Strand and focus | Space |
| Topics | Pythagoras and trigonometry |
| AC: Mathematics (V9.0) content descriptions |
AC9M9SP02
Apply the enlargement transformation to shapes and objects using dynamic geometry software as appropriate; identify and explain aspects that remain the same and those that change
AC9M9M03
Solve spatial problems, applying angle properties, scale, similarity, Pythagoras' theorem and trigonometry in right-angled triangles |
| Numeracy progression |
Proportional thinking (P7)
Understanding geometric properties (P7) Understanding units of measurement (P10) |
Copyright details |
|
| Organisation | Illustrative Mathematics |
| Copyright | © Open Up Resources/Illustrative Mathematics. Creative Commons BY 4.0. |
Related resources
-
Introducing trigonometry
In this series of lessons, students will explore the relationships between the sides and angles of right-angled triangles. Students will measure similar triangles to find the trigonometrical ratios. The resources include teacher notes and student activities.
Resource details -
The Geometer's warehouse
A collection of interactive learning objects for the teaching of geometry.
Resource details -
Introduction to trigonometry
These lesson plans guide the teacher on how to introduce trigonometry to students through an investigation of similar triangles.
Resource details -
Trigonometry
This resource focuses on the origins of trigonometrical ratios.
Resource details