• Mathematics
• Year 9

# Pythagoras' Theorem and Trigonometry

approx. 9 hrs

5 topics

19 concepts

Become proficient with Pythagoras' Theorem and acquire the knowledge in Trigonometry you need to succeed.

Available in
ACT NSW NT QLD SA TAS VIC WA

### Overview

Pythagoras' Theorem and Trigonometry are essential techniques used to solve problems with right-angled triangles. In this learning program, students become competent in solving questions using the theory and processes of trigonometry with right-angled triangles. Students recall and apply the appropriate rules of Trigonometry to find unknown sides and angles, including applications of bearings and 3D trigonometry to problems.

### Topics & Concepts We Cover

This learning program is made up of the following 5 topics, broken down into 19 concepts.

• #### Pythagoras' Theorem 4 concepts

1. Solve a variety of practical problems involving Pythagoras' theorem

2. Use Pythagoras' theorem to find the length of an unknown side in a right-angled triangle

3. Use Pythagoras' theorem to find the length of the hypotenuse side in a right-angled triangle

4. Review Pythagoras theorem

• #### Defining Trigonometric Ratios 2 concepts

1. Define the sine, cosine and tangent ratios for angles in right-angled triangles

2. Identify the hypotenuse, adjacent sides and opposite sides on a right angles triangle

• #### Approximating Angle Units 1 concept

1. Rounding angles to the nearest degree, minute or second

• #### Finding Unknown Sides and Angles 6 concepts

1. Rounding angles to the nearest degree, minute or second

2. Find the size in degrees of unknown angles using SOH CAH TOA in right-angled triangles

3. Find the lengths of unknown sides in right-angled triangles using SOH CAH TOA where the given angle is measured in degrees

4. Use the calculator to find unknown angles using sine, cosine and tangent functions

5. Find the lengths of unknown sides in right-angled triangles using SOH CAH TOA where the given angle is measured in degrees and minutes

6. Find the size in degrees and minutes of unknown angles using SOH CAH TOA in right-angled triangles

• #### Extension Unit 6 concepts

1. Construct a bearing diagram from a worded problem

2. Calculate a bearing from a given diagram

3. Apply Pythagoras' Theorem to 3D problems

4. Interpret three-figure (or true) bearings and compass bearings

5. Solve worded problems involving bearings using SOH CAH TOA

6. Solve a variety of practical problems involving angles of elevation and depression of right-angled triangles

### What you'll get

Learning Content

• A customised learning plan to suit your needs, adapting to your pace as you learn, progress and achieve mastery
• All the content required to help you master the syllabus, including theory, worked examples, exam preparation and practice questions

An Expert Tutor

• We match you to a private, expert tutor who is right for your needs and goals
• Our tutors are talented, tested, top ATAR achievers and subject experts
• During each session, your tutor guides you through your learning program, providing real-time, live expert tutoring in Pythagoras' Theorem and Trigonometry

Reporting

• Access information at every stage showing what's been mastered, what areas need to be worked on and what's next
• You and your parents receive a comprehensive feedback report after every session
• Every session is recorded and available for you to watch at any time, allowing you to review what was covered

### Ready to start this program?

Simply pick a time that works for you

We'll be in contact to match you with one of our top tutors and book your first session

Starting at

\$49(inc. GST)

per session

Fully flexible

PAYG and bundle plans

Use anytime