Trigonometry



Trigonometry and Laser Show by Evan





Lessons calendar



Learning Objectives Work Material
TRIGONOMETRY  CRITERIA

SAMPLE
 Why do we need trigonometry?  WHY TRIG?
 
Similar triangles

  

 From similar triangles to ratios

  
 
SOH CAH TOA

  

 Finding missing angles
  

 Clinometer

 
Finding missing lenghts

  

Construct a clinometer and use it to estimate heights of buildings

  

 Applications of right-angles triangles:

angles of elevation an depresion

  
 

 Applications of right-angles triangles:

area of a triangle

  

Non right-angled triangles:

sine rule working missing angles

 

SINE RULE INTRO

SINE RULE VIDEO

 
 
Sine rule working missing lenghts

  
 
Sine rule applications

  
 
Cosine rule working missing angles
 

COSINE RULE PROOF

COSINE RULE PROOF 2

COSINE RULE FORMULA


COSINE RULE EX.1

  
Cosine rule working missing lenghts

  
  
Cosine rule applications

  
 
Area of a non right-angles triangle
  
GIVEN AREA WORK LENGTH

Introduce radians 

-Area of a sector

-Lenght of a sector

 

 

 

 RADIANS,ARC LENGHT, AREA TUTORIAL



TRIGONOMETRY  AS91259  

Mathematics and Statistics 2.4 

Apply trigonometric relationships in solving problems 

Level  2  Credits  3  Assessment  Internal 

This achievement standard involves applying trigonometric relationships in solving problems.


 

Achievement Criteria 


Achievement  

• Apply trigonometric relationships in solving problems. 


Achievement with Merit

• Apply trigonometric relationships, using relational thinking, in solving problems. 


Achievement with Excellence 

• Apply trigonometric relationships, using extended abstract thinking, in solving problems. 



Learning objectives:


For Achieve you need to apply trigonometric relationships including: 

• selecting and using methods 

• demonstrating knowledge of trigonometric concepts and terms 

• communicating using appropriate representations. 


For Merit you need to include one or more of: 

• selecting and carrying out a logical sequence of steps 

• connecting different concepts or representations 

• demonstrating understanding of concepts 

• forming and using a model

• and relating findings to a context, or communicating thinking using appropriate statements.


For Excellence you need to include one or more of: 

• devising a strategy to investigate or solve a problem 

• identifying relevant concepts in context 

• developing a chain of logical reasoning, or proof 

• forming a generalisation

• and also using correct mathematical statements, or communicating mathematical insight. 



 Methods include a selection from those related to: 

• length of an arc of a circle 

• area of a sector of a circle 

• sine rule 

• cosine rule 

• area of a triangle.