Right-Angled Triangles: Pythagoras and Trigonometry
Pythagoras' theorem in 2D and 3D, then the trigonometric ratios for sides, angles, applications and bearings.
Active lessons
9
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
9 of 9 active
Lesson 1
Pythagoras' Theorem
Use Pythagoras' theorem to find the hypotenuse of a right-angled triangle.
Lesson 2
Finding the Length of the Shorter Sides
Find the length of a shorter side using a rearrangement of Pythagoras' theorem.
Lesson 3
Using Pythagoras' Theorem to Solve Two-Dimensional Problems
Apply Pythagoras' theorem to diagonals, distances and other 2D problems.
Lesson 4
Introducing the Trigonometric Ratios
Define the sine, cosine and tangent ratios using SOH CAH TOA.
Lesson 5
Finding Unknown Side Lengths
Find an unknown side using sine, cosine or tangent.
Lesson 6
Solving for the Denominator
Find an unknown side that is in the denominator of a trig ratio by dividing.
Lesson 7
Finding Unknown Angles
Find an unknown angle using the inverse trigonometric functions.
Lesson 8
Using Trigonometry to Solve Problems
Apply trigonometry to angles of elevation and depression and other real problems.
Lesson 9
Bearings
Use three-figure compass bearings and find back (reverse) bearings.
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