# Tangent (t3g)

Tangent

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

This lesson contains 24 slides, with interactive quizzes and text slides.

Lesson duration is: 60 min

## Items in this lesson

Tangent

April 15th
t3d
12:05

#### Slide 1 -Slide

Schedule
• Programme                                                                     5 min
• Review: hyperbolas, rational equations          10 min
• Tangent                                                                           15 min

Quizzes
• Practice                                                                          15 min
• Kahoot!                                                                           15 min

Programme

#### Slide 3 -Slide

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 question

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 -Slide

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

#### Slide 6 -Slide

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

#### Slide 7 -Slide

What's the first word that
comes to mind?

#### Slide 8 -Open question

Have you ever seen such a sign?
Yes
No

#### Slide 9 -Poll

From linear graphs:

#### Slide 10 -Slide

From linear graphs:

%      -------------->

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

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

Tangent
Solve.

#### Slide 14 -Slide

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

Tangent
Solve.

#### Slide 16 -Slide

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 -Slide

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

#### Slide 19 -Slide

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

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.

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

Kahoot!