Sine (t3g)

Sine and cosine




April 22nd
t3d
13:15
Make some
U-shapes!
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Slide 1: Slide
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This lesson contains 25 slides, with interactive quizzes and text slides.

time-iconLesson duration is: 60 min

Items in this lesson

Sine and cosine




April 22nd
t3d
13:15
Make some
U-shapes!

Slide 1 - Slide

Schedule
  • Starting up, programme                              5 min
  • (U-shapes)
  • Review:                                                               10 min
      (or: practice)
  • Sine and cosine                                              15 min
  • More examples & practice                        30 min
  • Kahoot                                                                15 min
AO

Slide 2 - Slide

Programme

Slide 3 - Slide

What do you prefer?
Inside U: more examples, practice while being 'coached'
Outside U: listen sometimes, practice
Back row: practice

Slide 4 - Poll

Last lesson's
Intended Learning Outcomes


At the end of the lesson you could...
  1. Use opposite and adjacent sides in calculations with (inverse) tangent

Slide 5 - Slide

PR?

Slide 6 - Slide

Today's
Intended Learning Outcomes


At the end of the lesson you can...
  1. Calculate sides with sine and cosine
  2. Apply the SOH CAH TOA rule

Slide 7 - Slide

tan and tan
Want to know a side?                                        Want to know an angle?
Use tan                                                                    Use tan



                                                                                                          shift --> tan
                                                                                                           gets you tan
1
tan()=AO
tan(AO)=
1
1

Slide 8 - Slide

You want to know
the length of LM.
What do you use?
A
Tangent
B
Inverse tangent
C
Sine
D
There's not enough information

Slide 9 - Quiz

Calculate the length of LM.
Round to the nearest tenth.
A
10.9
B
16.3
C
19.4
D
20.6

Slide 10 - Quiz

sin and sin       





Want to know a side?                                         Want to know an angle?
Use sin                                                                      Use sin
1
1
sin()=HO
sin(HO)=
1
Chapter 7
Basic route 
37, 38, 44, 45, 47, 48, 52
Advanced route
38, 40, 42, 48, 49, 51

Slide 11 - Slide

cos and cos      





Want to know a side?                                         Want to know an angle?
Use cos                                                                     Use cos
1
1
cos()=HA
cos(HA)=
1
Chapter 7
Basic route 
37, 38, 44, 45, 47, 48, 52
Advanced route
38, 40, 42, 48, 49, 51

Slide 12 - Slide

Cosine



                                           Example: calculate BC.
1
cos()=HA
cos(HA)=
Basic route 
37, 38, 44, 45, 47, 48, 52
Advanced route
38, 40, 42, 48, 49, 51

Slide 13 - Slide

Cosine



                                         Example: calculate          .
1
cos()=HA
cos(HA)=
B
Basic route 
37, 38, 44, 45, 47, 48, 52
Advanced route
38, 40, 42, 48, 49, 51

Slide 14 - Slide

Trigonometric ratios         
How to remember

SOH

CAH

TOA
                                                                                         
Basic route 
37, 38, 44, 45, 47, 48, 52
Advanced route
38, 40, 42, 48, 49, 51

Slide 15 - Slide

Trigonometric ratios              
How to remember

SOH

CAH

TOA
                                                                                         
cos()=HA
sin()=HO
tan()=AO
Basic route 
37, 38, 44, 45, 47, 48, 52
Advanced route
38, 40, 42, 48, 49, 51

Slide 16 - Slide

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



                                                                                       calculator:
                                                                                      shift --> sin/cos/tan
                                                                                         
1
1
1
Basic route 
37, 38, 44, 45, 47, 48, 52
Advanced route
38, 40, 42, 48, 49, 51

Slide 17 - Slide

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

Slide 18 - Quiz

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

Slide 19 - Quiz

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

Slide 20 - Quiz

Calculate KM.
Round to the
nearest integer.
A
3
B
4
C
6
D
7

Slide 21 - Quiz

Calculate LM.
Round to the
nearest integer.
A
3
B
4
C
6
D
7

Slide 22 - Quiz

Chapter 7
Basic route 
37, 38, 44, 45, 47, 48, 52
Advanced route
38, 40, 42, 48, 49, 51

Slide 23 - Slide

Practice
Chapter 7
Basic route 
37, 38, 44, 45, 47, 48, 52
Advanced route
38, 40, 42, 48, 49, 51

Slide 24 - Slide

Kahoot!

Slide 25 - Slide