Please note: This site contains links to websites not controlled by the Australian Government or ESA. Read more in the Terms of Use.
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 includes teacher notes and student activities.
Additional details |
|
| Year level(s) | Year 9 |
|---|---|
| Audience | Teacher |
| Purpose | Student task, Teaching resource, Content knowledge |
| Format | Web page |
| Teaching strategies and pedagogical approaches | Mathematics investigation |
| 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 | New Zealand Ministry of Education |
| Copyright | © New Zealand Ministry of Education. Creative Commons BY 3.0 NZ. |
Related resources
-
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 -
Pythagoras’ theorem two ways
In this lesson, students use Pythagoras’ theorem to calculate unknown side lengths in right-angled triangles after undertaking a step-by-step method of working through visual and algebraic proofs simultaneously. This will help students develop deeper connections between algebra and measurement in this context.
Resource details -
Pythagoras and trigonometry (Space): Year 9 – planning tool
This planning resource for Year 9 is for the topic of Pythagoras and trigonometry.
Resource details -
Pythagoras and trigonometry (Measurement): Year 9 – planning tool
This planning resource for Year 9 is for the topic of Pythagoras and trigonometry.
Resource details -
History of trigonometry
A three-part history of the origins of trigonometry.
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