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# Unit Overview: Surds and trigonometry

## Lessons:

12 lessons

### Rational and irrational numbers

In this lesson, we will explore the concept of rationality and irrationality in numbers, and learn how to classify rational and irrational numbers.

• 1 Quiz
• 19m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Introduction to Surds

In this lesson, we will learn what a surd is and we will explore how to accurately estimate the value of a surd.

• 2 Quizzes
• 21m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Surds and triangles

In this lesson, we will recap how to use Pythagorean theorem to find the length of missing sides in triangles leaving the answers is surd form.

• 2 Quizzes
• 16m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Manipulating surds

In this lesson, we will look at basic surd rules in particular multiplication and division.

• 2 Quizzes
• 25m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Varying the ratio of side lengths in right angle triangles

In this lesson, we will learn about the the ratio of side lengths in right angle triangles.

• 2 Quizzes
• 17m Video
• Presentation(PPT)
• Worksheet
• Transcript

### The case of 30 and 60 degrees

In this lesson, we will look at the special cases of 30 and 60 degrees right angled-triangles.

• 2 Quizzes
• 14m Video
• Presentation(PPT)
• Worksheet
• Transcript

### The sine ratio

In this lesson, we will develop an understanding of trigonometric ratios focusing on sine.

• 2 Quizzes
• 12m Video
• Presentation(PPT)
• Worksheet
• Transcript

### The sine and cosine ratios

In this lesson, we will explore trigonometric ratios focusing on sine and cosine.

• 2 Quizzes
• 21m Video
• Presentation(PPT)
• Worksheet
• Transcript

### The sine and cosine ratios for 30 and 60 degrees

In this lesson, we will learn how to find missing sides and angles in triangles using sine and cosine for 30 and 60 degrees.

• 2 Quizzes
• 24m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Finding missing sides using sine and cosine for any angle

In this lesson, we will learn how to find missing sides using sine and cosine for any angle in a triangle.

• 2 Quizzes
• 17m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Using inverse sine and cosine to find missing angles

In this lesson, we will use inverse sine and cosine to find missing angles in triangles.

• 2 Quizzes
• 30m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Sine and cosine graphs

In this lesson, we will look at the graphs made by the sine and cosine functions and compare them to highlight similarities and differences.

• 2 Quizzes
• 29m Video
• Presentation(PPT)
• Worksheet
• Transcript