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Applying trigonometry (t3g)
Applying trigonometry
Part 2
May 13th
t3d
13:15
Have homework
ready for inspection!
1 / 26
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Slide 1:
Tekstslide
Wiskunde
Middelbare school
vwo
Leerjaar 3
In deze les zitten
26 slides
, met
interactieve quizzen
en
tekstslides
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Lesduur is:
60 min
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Applying trigonometry
Part 2
May 13th
t3d
13:15
Have homework
ready for inspection!
Slide 1 - Tekstslide
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 - Tekstslide
Programme
Investigation:
Friday, May 20th,
4th period (maths)
Test ch.7:
Monday, May 30th,
2nd period (tutor hour)
Slide 3 - Tekstslide
Last lesson's
Intended Learning Outcomes
At the end of the lesson you could...
Use
sin
,
cos
and
tan
and their inverses appropriately
Slide 4 - Tekstslide
You want to know
the length of KM.
What do you use?
A
Tangent
B
Sine
C
Inverse sine
D
Inverse cosine
Slide 5 - Quizvraag
You want to know
the size of
What do you use?
∠
C
.
A
Tangent
B
Sine
C
Inverse sine
D
Inverse cosine
Slide 6 - Quizvraag
You want to know
the length of LM.
What do you use?
A
Inverse sine
B
Inverse cosine
C
Tangent
D
Cosine
Slide 7 - Quizvraag
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 - Tekstslide
Today's
Intended Learning Outcomes
At the end of the lesson you can...
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 - Tekstslide
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 - Tekstslide
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 - Tekstslide
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 - Tekstslide
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 - Tekstslide
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 - Tekstslide
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 - Tekstslide
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 - Tekstslide
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 - Tekstslide
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 - Tekstslide
Practice
Basic route
54, 55, 56, 57, 58
64, 66, 68
Advanced route
56, 58, 59
/
60, 62
68, 69, 70
/
71
Slide 19 - Tekstslide
Basic route
54, 55, 56, 57, 58
64, 66, 68
Advanced route
56, 58, 59
/
60, 62
68, 69, 70
/
71
Slide 20 - Tekstslide
Basic route
54, 55, 56, 57, 58
64, 66, 68
Advanced route
56, 58, 59
/
60, 62
68, 69, 70
/
71
Slide 21 - Tekstslide
Basic route
54, 55, 56, 57, 58
64, 66, 68
Advanced route
56, 58, 59
/
60, 62
68, 69, 70
/
71
Slide 22 - Tekstslide
Basic route
54, 55, 56, 57, 58
64, 66, 68
Advanced route
56, 58, 59
/
60, 62
68, 69, 70
/
71
Slide 23 - Tekstslide
Basic route
54, 55, 56, 57, 58
64, 66, 68
Advanced route
56, 58, 59
/
60, 62
68, 69, 70
/
71
Slide 24 - Tekstslide
Slide 25 - Tekstslide
Slide 26 - Tekstslide
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