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

Slide 2 - Slide

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 = \frac{​ 1 6 ​ ​}{​ x ​}

Slide 4 - Open question

Intended Learning Outcomes

At the end of the lesson you can...

Calculate the tangent of an elevation
Recognize tangent in contexts
Calculate an angle with inverse tangent

Slide 5 - Slide

Gradient & tangent (ch.7.1)

The ____________ rule

3 = \frac{​ 6 ​ ​}{​ 2 ​}

a = \frac{​ b ​ ​}{​ c ​}

Slide 6 - Slide

Gradient & tangent (ch.7.1)

The ____________ rule

3 = \frac{​ 6 ​ ​}{​ 2 ​}

a = \frac{​ b ​ ​}{​ c ​}

Slide 7 - Slide

What's the first word that
comes to mind?

Slide 8 - Open question

Have you ever seen such a sign?

Yes

Slide 9 - Poll

Gradient & grade

From linear graphs:

g r a d i e n t = \frac{​ r i s e ​ ​}{​ r u n ​}

Slide 10 - Slide

Gradient & grade

From linear graphs:

% -------------->

g r a d e = \frac{​ r i s e ​ ​}{​ r u n ​} \cdot 100

Slide 11 - Slide

What's the run
of the hill?

388.9 m

12.6 m

257.1 m

126.0 m

Slide 12 - Quiz

What is the run?

4.15

3024

30.24

414.8

Slide 13 - Quiz

Tangent

Solve.

Slide 14 - Slide

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

Slide 15 - Open question

Tangent

Solve.

Slide 16 - Slide

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

26%

0.26

0.49

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?

Slide 20 - Slide

31.8 degrees

29.8 degrees

17.1 degrees

19.0 degrees

Slide 21 - Quiz

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

Slide 22 - Open question

Practice

Maths A/C

6, 8, 9, 13

17, 18, 19

Maths B/D

8, 10, 14

18, 20, 21

Slide 23 - Slide

Kahoot!

Slide 24 - Slide