Nayland College Mathematics; More than just a school  
 
 

 
 
 
 

Right Angle Triangles

Triangles home | Pythagoras A | Calculator Practice | Trig Finding Sides | Trig Finding Angles | Trig Applications | Vectors | Bearings | 1.8 Revision

Achievement Standard | Unit Standard 5236

Unit Overview

Achievement Standard 1.8 Triangles involves Pythagoras and trigonometry involve RIGHT angle triangles.

 

Trigonometry is used on a daily basis in the workplace.  Since trigonometry means "triangle measure", any profession that deals with measurement deals with trigonometry as well.  Carpenters, construction workers and engineers, for example, must possess a thorough understanding of trigonometry.  

Pythagoras involves the 3 SIDES of a right angle triangle

 a2 + b2 = c2

Trigonometry involves 2 sides & 1 ANGLE in a right angle triangle

SOH CAH TOA

back to top

Lesson Outline

There are links to lesson web pages and word documents (MS word 2003) of the overhead projector lesson notes.
Note: When printing these word documents 'landscape' print setting is recommended

MS word Lesson sequence and overview

  Topics Text References Other Links
1 Pythagoras

Gamma
p386 Ex 27.01

  
2 Applications of Pythagoras

p389 Ex 27.02
p394 Ex 27.03

  
3 Properties of trianglesTrig introduction

p396 Ex 27.04

  
4 Trig: finding side lengths

p402 Ex 28.01

  
5 Trig: finding anglesApplications

p404 Ex 28.02
p406 Ex 28.03

  
6 3D Applications A

p412 Ex 29.01
p414 Ex 29.02

  
7 3D Applications B

p417 Ex 29.03
p419 Ex 29.04
p420 Ex 29.05

  
8 Vectors + - × ÷<

p423 Ex 30.01
p426 Ex 30.02
p428 Ex 30.03

  
9 Vectors & Bearings

p431 Ex 30.04
p434 Ex 30.05

  
10 Grid references

p438 Ex 30.06

  
11 Revision

 

  
12 TEST

 

  
13  

 

  

back to top

I can do's

Achievement
Find any side of a right angled triangle using Pythagoras
Use sin, cos and tan to find an opposite or adjacent side of a right-angled triangle
Use sin, cos and tan to find an angle in a right-angled triangle

Merit
Draw right angled triangles to solve trig problems
Solve problems that involve:
- trigonometry to find the hypotenuse
- symmetry of isosceles triangles
- comparing scale drawing with calculation
- straight-forward 3D situations
- vectors
Interpret bearings or grid references.
Present my answer in a way that is easily understood
Give my answer to the problem in words

Excellence
Identify or draw triangles to solve problems
Solve 3D problems involving at least two triangles.
Present my answer in a way that is easily understood
Give my answer to the problem in words
Use appropriate rounding, units and mathematical statements.

back to top