Tangent (t3g)

Tangent




April 15th
t3d
12:05
1 / 24
volgende
Slide 1: Tekstslide
WiskundeMiddelbare schoolvwoLeerjaar 3

In deze les zitten 24 slides, met interactieve quizzen en tekstslides.

time-iconLesduur is: 60 min

Onderdelen in deze les

Tangent




April 15th
t3d
12:05

Slide 1 - Tekstslide

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

Slide 2 - Tekstslide

Programme

Slide 3 - Tekstslide

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 - Open vraag

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 - Tekstslide

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

Slide 6 - Tekstslide

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

Slide 7 - Tekstslide

What's the first word that
comes to mind?

Slide 8 - Open vraag

Have you ever seen such a sign?
Yes
No

Slide 9 - Poll

Gradient & grade
From linear graphs:
gradient=runrise

Slide 10 - Tekstslide

Gradient & grade
From linear graphs:




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

Slide 11 - Tekstslide

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 - Quizvraag

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

Slide 13 - Quizvraag

Tangent
Solve.



Slide 14 - Tekstslide

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

Slide 15 - Open vraag

Tangent
Solve.



Slide 16 - Tekstslide

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 - Quizvraag

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

Slide 18 - Tekstslide

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

Slide 19 - Tekstslide

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

Slide 20 - Tekstslide


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

Slide 21 - Quizvraag

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

Slide 22 - Open vraag

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

Slide 23 - Tekstslide

Kahoot!

Slide 24 - Tekstslide