Right-Angled Triangles: Pythagoras and Trigonometry
Pythagoras' theorem in 2D and 3D, then the trigonometric ratios for sides, angles, applications and bearings.
Active lessons
7
Status
Active
Lesson flow
Learn -> Guided Practice -> Independent Practice -> Mastery Quiz
How to use this unit
- Start from lesson 1 and move through the pathway in order.
- Use guided practice before attempting independent practice.
- Mastery quizzes check whether the skill is ready for review or extension.
Unit pathway
Lesson pathway
7 of 7 active
Lesson 1
Using Pythagoras' Theorem to Solve Three-Dimensional Problems
Use Pythagoras' theorem in three dimensions to find the space diagonal of a box.
Lesson 2
Introducing the Trigonometric Ratios
Define the sine, cosine and tangent ratios using SOH CAH TOA.
Lesson 3
Finding Unknown Side Lengths
Find an unknown side using sine, cosine or tangent.
Lesson 4
Solving for the Denominator
Find an unknown side that is in the denominator of a trig ratio by dividing.
Lesson 5
Finding Unknown Angles
Find an unknown angle using the inverse trigonometric functions.
Lesson 6
Using Trigonometry to Solve Problems
Apply trigonometry to angles of elevation and depression and other real problems.
Lesson 7
Bearings
Use three-figure compass bearings and find back (reverse) bearings.
Part of the Online Learning Package
Unit previews stay public, while individual lessons require active online learning access.