Resources

The lessons and sequences in this program of learning are designed to allow students to explore surds, exact values, the unit circle and graphing trigonometric functions.

This Year 10 unit is designed to be an elective unit to extend students who have completed the Core content within Stage 5. All lessons incorporate Path content and assume students are confident with related Core content.

Introduction

The unit circle elective – unit (DOCX 6.1 MB)

Lesson 1 – simplifying surds

• Simplifying surds (DOCX 5.9 MB)
• Simplifying surds – slide deck (PPTX 1.4 MB)

Lesson 2 – rationalising the denominator

Rationalising the denominator (DOCX 5.9 MB)

Lesson 3 – exact ratios

• Exact ratios (DOCX 6.6 MB)
• Exact ratios – slide deck (PPTX 2.4 MB)

Lesson 4 – special trigonometric relationships

• Special trigonometric relationships (DOCX 8.6 MB)
• Special trigonometric relationships – slide deck (PPTX 1.4 MB)

Lesson 5 – a circle and 4 quadrants

• A circle and 4 quadrants (DOCX 5.2 MB)
• A circle and 4 quadrants – slide deck (PPTX 1.7 MB)

Lesson 6 – exact values in 4 quadrants

• Exact values in 4 quadrants (DOCX 9.3 MB)
• Exact values in 4 quadrants – slide deck (PPTX 2.1 MB)

Lesson 7 – the unit circle

• The unit circle (DOCX 6.2 MB)
• The unit circle – slide deck (PPTX 2 MB)

Lesson 8 – graphing using the unit circle

• Graphing using the unit circle (DOCX 9.8 MB)
• Graphing using the unit circle – slide deck (PPTX 1.3 MB)