Tangent (t3g)

Tangent




April 15th
t3d
12:05
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Slide 1: Diapositive
WiskundeMiddelbare schoolvwoLeerjaar 3

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Tangent




April 15th
t3d
12:05

Slide 1 - Diapositive

Schedule
  • Programme                                                                     5 min
  • Review: hyperbolas, rational equations          10 min
  • Tangent                                                                           15 min
     
    Quizzes
  • Practice                                                                          15 min
  • Kahoot!                                                                           15 min

Slide 2 - Diapositive

Programme

Slide 3 - Diapositive

Review - 5 min - in your notebook

Do a) or b) on the right and upload a picture.
a) Draw the 
     graph of 
b) Solve:
y=x16

Slide 4 - Question ouverte

Intended Learning Outcomes
At the end of the lesson you can...
  1. Calculate the tangent of an elevation
  2. Recognize tangent in contexts
  3. Calculate an angle with inverse tangent

Slide 5 - Diapositive

Gradient & tangent (ch.7.1)
The ____________ rule
3=26
a=cb

Slide 6 - Diapositive

Gradient & tangent (ch.7.1)
The ____________ rule
3=26
a=cb

Slide 7 - Diapositive

What's the first word that
comes to mind?

Slide 8 - Question ouverte

Have you ever seen such a sign?
Yes
No

Slide 9 - Sondage

Gradient & grade
From linear graphs:
gradient=runrise

Slide 10 - Diapositive

Gradient & grade
From linear graphs:




                                                      %      -------------->
grade=runrise100

Slide 11 - Diapositive

What's the run
of the hill?
A
388.9 m
B
12.6 m
C
257.1 m
D
126.0 m

Slide 12 - Quiz

What is the run?
A
4.15
B
3024
C
30.24
D
414.8

Slide 13 - Quiz

Tangent
Solve.



Slide 14 - Diapositive

Describe the relationship between the gradient of a hill, and its angle of elevation. (2 min)

Slide 15 - Question ouverte

Tangent
Solve.



Slide 16 - Diapositive

A hill has an angle of elevation of 26 degrees. What is the grade?

A
26%
B
0.26
C
0.49
D
49%

Slide 17 - Quiz

Calculator:
gradient = tan(26) = 0.49
grade = 0.49 * 100% = 49%

Slide 18 - Diapositive

But what if...
...I want to know an angle, and I have the gradient?

Slide 19 - Diapositive

But what if...
...I want to know an angle, and I have the gradient?

Slide 20 - Diapositive


A
31.8 degrees
B
29.8 degrees
C
17.1 degrees
D
19.0 degrees

Slide 21 - Quiz

What's the angle of elevation for a gradient of 1? Explain.

Slide 22 - Question ouverte

Practice
Maths A/C
6, 8, 9, 13
17, 18, 19
Maths B/D
8, 10, 14
18, 20, 21

Slide 23 - Diapositive

Kahoot!

Slide 24 - Diapositive