Close message Scootle has stopped supporting resources that use the Adobe Flash plug-in from 18 Dec 2020. Learning paths that include these resources will have alerts to notify teachers and students that one or more of the resources will be unavailable. Click here for more info.

# Mathematics / Year 10 / Measurement and Geometry / Pythagoras and trigonometry

Curriculum content descriptions

Use the unit circle to define trigonometric functions, and graph them with and without the use of digital technologies (ACMMG274)

Elaborations
• establishing the symmetrical properties of trigonometric functions
• investigating angles of any magnitude
• understanding that trigonometric functions are periodic and that this can be used to describe motion
General capabilities
• Numeracy Numeracy
• Critical and creative thinking Critical and creative thinking
• ICT capability Information and Communication Technology (ICT) capability
ScOT terms

Unit circles,  Periodic functions

## Refine by topic

Related topic * No suggestions

### Secondary mathematics: using real data

These seven learning activities, which focus on the use of 'real data' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use the three content strands ...

### reSolve: Trigonometry: Rule of Twelfths

This sequence of three lessons gives students the opportunity to explore how tidal variations can be modelled and predicted using trigonometric functions and approximated with useful 'rules of thumb'. Students use real tidal data to explore how sailors make predictions at sea, draw their own graphs using a range of approximation ...

### Indigo Interior

This resource is a web page containing a problem solving task that requires an understanding of Pythagoras' theorem. The task involves finding the area of shaded region with a circle with a known area. To solve the problem students need to establish a right angled triangle and apply Pythagoras' theorem. A printable resource ...

### The calculus of trigonometric functions

This is a teacher resource for the differentiation and integration of trigonometric functions consisting of a website and a PDF with identical content. It contains explanations and examples of applications such as the solution of maximisation problems and simple harmonic motion.

### Applying trigonometry: leaning tower

The Leaning Tower of Gingin is the centrepiece of the Gravity Discovery Centre. The Catalyst team of Derek, Simon and Anja drop watermelons from the tower, to examine the rate at which they fall. They are testing Galileo's theory about falling objects. The dimensions of the tower provide an opportunity to apply some basic ...