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Applying trigonometry (t3g)

Applying trigonometry

Part 2


May 13th
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13:15
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Applying trigonometry

Part 2


May 13th
t3d
13:15
Have homework
ready for inspection!

Slide 1 - Diapositive

Schedule
  • Programme                                                      10 min
      Homework check
  • Review: SOHCAHTOA                                   10 min
  • (U-shapes) 3 groups                                     5 min
  • Applying trigonometry                              25 min
          + practice + discuss homework
  • Some gooseboard?                                     25 min

Slide 2 - Diapositive

Programme


Investigation:
Friday, May 20th,
4th period (maths)
Test ch.7:
Monday, May 30th,
2nd period (tutor hour)

Slide 3 - Diapositive

Last lesson's
Intended Learning Outcomes


At the end of the lesson you could...
  1. Use sin, cos and tan and their inverses appropriately

Slide 4 - Diapositive

You want to know
the length of KM.
What do you use?
A
Tangent
B
Sine
C
Inverse sine
D
Inverse cosine

Slide 5 - Quiz

You want to know
the size of
What do you use?
∠C.
A
Tangent
B
Sine
C
Inverse sine
D
Inverse cosine

Slide 6 - Quiz

You want to know
the length of LM.
What do you use?
A
Inverse sine
B
Inverse cosine
C
Tangent
D
Cosine

Slide 7 - Quiz

3 groups
1: work on exercises, no explanation
2: join explanation, work on exercises
3: listen or work, homework discussion afterwards
Basic route 
54, 55, 56, 57, 58
64, 66, 68
Advanced route
56, 58, 59/60, 62
68, 69, 70/71

Slide 8 - Diapositive

Today's
Intended Learning Outcomes


At the end of the lesson you can...
  1. Apply trigonometric calculations in contexts and situations
Basic route 
54, 55, 56, 57, 58
64, 66, 68
Advanced route
56, 58, 59/60, 62
68, 69, 70/71

Slide 9 - Diapositive

Trigonometric ratios
How to remember

SOH

CAH

TOA
                                                                                         
Basic route 
54, 55, 56, 57, 58
64, 66, 68
Advanced route
56, 58, 59/60, 62
68, 69, 70/71

Slide 10 - Diapositive

Trigonometric ratios
How to remember

SOH

CAH

TOA
                                                                                         
cos(∠)=​H​​A​​
sin(∠)=​H​​O​​
tan(∠)=​A​​O​​
Basic route 
54, 55, 56, 57, 58
64, 66, 68
Advanced route
56, 58, 59/60, 62
68, 69, 70/71

Slide 11 - Diapositive

Trigonometric ratios
How to remember

SOH                                                         and               

CAH                                                         and

TOA                                                          and
                                                                                         
cos(∠)=​H​​A​​
sin(∠)=​H​​O​​
tan(∠)=​A​​O​​
sin(​H​​O​​)=∠
cos(​H​​A​​)=∠
tan(​A​​O​​)=∠
Basic route 
54, 55, 56, 57, 58
64, 66, 68
Advanced route
56, 58, 59/60, 62
68, 69, 70/71
-1
-1
-1

Slide 12 - Diapositive

Trigonometric ratios
Want to know a side?                                        Want to know an angle?
Use sin/cos/tan                                                   Use sin   /cos   /tan



                                                                                       calculator:
                                                                                 shift (2nd) --> sin/cos/tan
                                                                                         
−1
−1
−1
Basic route 
54, 55, 56, 57, 58
64, 66, 68
Advanced route
56, 58, 59/60, 62
68, 69, 70/71

Slide 13 - Diapositive

Applications
p.68:
Basic route 
54, 55, 56, 57, 58
64, 66, 68
Advanced route
56, 58, 59/60, 62
68, 69, 70/71

Slide 14 - Diapositive

Example 1
How high is John above the ground?
Basic route 
54, 55, 56, 57, 58
64, 66, 68
Advanced route
56, 58, 59/60, 62
68, 69, 70/71

Slide 15 - Diapositive

Example 1
How high is John above the ground?
Basic route 
54, 55, 56, 57, 58
64, 66, 68
Advanced route
56, 58, 59/60, 62
68, 69, 70/71

Slide 16 - Diapositive

Example 2
Basic route 
54, 55, 56, 57, 58
64, 66, 68
Advanced route
56, 58, 59/60, 62
68, 69, 70/71

Slide 17 - Diapositive

Example 2
Basic route 
54, 55, 56, 57, 58
64, 66, 68
Advanced route
56, 58, 59/60, 62
68, 69, 70/71

Slide 18 - Diapositive

Practice
Basic route 
54, 55, 56, 57, 58
64, 66, 68
Advanced route
56, 58, 59/60, 62
68, 69, 70/71

Slide 19 - Diapositive

Basic route 
54, 55, 56, 57, 58
64, 66, 68
Advanced route
56, 58, 59/60, 62
68, 69, 70/71

Slide 20 - Diapositive

Basic route 
54, 55, 56, 57, 58
64, 66, 68
Advanced route
56, 58, 59/60, 62
68, 69, 70/71

Slide 21 - Diapositive

Basic route 
54, 55, 56, 57, 58
64, 66, 68
Advanced route
56, 58, 59/60, 62
68, 69, 70/71

Slide 22 - Diapositive

Basic route 
54, 55, 56, 57, 58
64, 66, 68
Advanced route
56, 58, 59/60, 62
68, 69, 70/71

Slide 23 - Diapositive

Basic route 
54, 55, 56, 57, 58
64, 66, 68
Advanced route
56, 58, 59/60, 62
68, 69, 70/71

Slide 24 - Diapositive

Slide 25 - Diapositive

Slide 26 - Diapositive

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