Applying trigonometry (t3g)

Applying trigonometry

Part 2

May 13th

t3d

13:15

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Slide 1: Slide

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This lesson contains 26 slides, with interactive quizzes and text slides.

Lesson duration is: 60 min

Items in this lesson

Applying trigonometry

Part 2

May 13th

t3d

13:15

Have homework
ready for inspection!

Slide 1 - Slide

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 - Slide

Programme

Investigation:

Friday, May 20th,
4th period (maths)

Test ch.7:

Monday, May 30th,
2nd period (tutor hour)

Slide 3 - Slide

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 - Slide

You want to know
the length of KM.
What do you use?

Tangent

Sine

Inverse sine

Inverse cosine

Slide 5 - Quiz

You want to know
the size of
What do you use?

∠ C .

Tangent

Sine

Inverse sine

Inverse cosine

Slide 6 - Quiz

You want to know
the length of LM.
What do you use?

Inverse sine

Inverse cosine

Tangent

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 - Slide

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 - Slide

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 - Slide

Trigonometric ratios

How to remember

SOH

CAH

TOA

cos (∠) = \frac{​ A ​ ​}{​ H ​}

sin (∠) = \frac{​ O ​ ​}{​ H ​}

tan (∠) = \frac{​ O ​ ​}{​ A ​}

Basic route

54, 55, 56, 57, 58

64, 66, 68

Advanced route

56, 58, 59/60, 62

68, 69, 70/71

Slide 11 - Slide

Trigonometric ratios

How to remember

SOH and

CAH and

TOA and

cos (∠) = \frac{​ A ​ ​}{​ H ​}

sin (∠) = \frac{​ O ​ ​}{​ H ​}

tan (∠) = \frac{​ O ​ ​}{​ A ​}

sin (\frac{​ O ​ ​}{​ H ​}) = ∠

cos (\frac{​ A ​ ​}{​ H ​}) = ∠

tan (\frac{​ O ​ ​}{​ A ​}) = ∠

Basic route

54, 55, 56, 57, 58

64, 66, 68

Advanced route

56, 58, 59/60, 62

68, 69, 70/71

-1

Slide 12 - Slide

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 - Slide

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 - Slide

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 - Slide

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 - Slide

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 - Slide

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 - Slide

Practice

Basic route

54, 55, 56, 57, 58

64, 66, 68

Advanced route

56, 58, 59/60, 62

68, 69, 70/71

Slide 19 - Slide

Basic route

54, 55, 56, 57, 58

64, 66, 68

Advanced route

56, 58, 59/60, 62

68, 69, 70/71

Slide 20 - Slide

Basic route

54, 55, 56, 57, 58

64, 66, 68

Advanced route

56, 58, 59/60, 62

68, 69, 70/71

Slide 21 - Slide

Basic route

54, 55, 56, 57, 58

64, 66, 68

Advanced route

56, 58, 59/60, 62

68, 69, 70/71

Slide 22 - Slide

Basic route

54, 55, 56, 57, 58

64, 66, 68

Advanced route

56, 58, 59/60, 62

68, 69, 70/71

Slide 23 - Slide

Basic route

54, 55, 56, 57, 58

64, 66, 68

Advanced route

56, 58, 59/60, 62

68, 69, 70/71

Slide 24 - Slide

Slide 25 - Slide

Slide 26 - Slide

Applying trigonometry (t3g)

Items in this lesson

Slide 1 - Slide

Slide 2 - Slide

Slide 3 - Slide

Slide 4 - Slide

Slide 5 - Quiz

Slide 6 - Quiz

Slide 7 - Quiz

Slide 8 - Slide

Slide 9 - Slide

Slide 10 - Slide

Slide 11 - Slide

Slide 12 - Slide

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Slide 17 - Slide

Slide 18 - Slide

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Slide 26 - Slide

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