Tan-1 and opposite-adjacent (t3g)

April 21st

t3d

11:30

Homework on

your table!

tan (∠) = \frac{​ . . . ​ ​}{​ . . . ​}

Today's exercises

Math A/C

24, 26, 27, 29, 31, 32

Math B/D

23, 27, 31, 32, 34

Discuss 26 later

1 / 18

Slide 1: Slide

WiskundeMiddelbare schoolvwoLeerjaar 3

This lesson contains 18 slides, with interactive quizzes and text slides.

Lesson duration is: 60 min

Items in this lesson

April 21st

t3d

11:30

Homework on

your table!

tan (∠) = \frac{​ . . . ​ ​}{​ . . . ​}

Today's exercises

Math A/C

24, 26, 27, 29, 31, 32

Math B/D

23, 27, 31, 32, 34

Discuss 26 later

Slide 1 - Slide

Schedule

Homework check 10 min
Announcements
Review: tangent 10 min
15 min
Practice 20 min
Finally, some Gooseboard! 20 min

tan (∠) = \frac{​ . . . ​ ​}{​ . . . ​}

Slide 2 - Slide

Programme

Slide 3 - Slide

Announcements

Got It!

Slide 4 - Slide

the gradient of a hill
vs.
its angle of elevation

Slide 5 - Mind map

Last lesson's

Intended Learning Outcomes

At the end of the lesson you could...

Do calculations with gradient, grade,
tangent and inverse tangent

Slide 6 - Slide

(inverse) tangent

shift --> tan

gets you tan

tan (∠) = \frac{​ r i s e ​ ​}{​ r u n ​}

tan (\frac{​ r i s e ​ ​}{​ r u n ​}) = ∠

- 1

- 1

Slide 7 - Slide

Review (5 min)

A hill has an angle of elevation of 25 degrees. The run is 130 meters.

An elevator travels along the rise of the hill at a speed of 4 km/h. How long will it take to reach the top?

Slide 8 - Slide

Today's

Intended Learning Outcomes

At the end of the lesson you can...

Use opposite and adjacent sides in calculations with tangent

Slide 9 - Slide

Tangent

tan (∠) = \frac{​ r i s e ​ ​}{​ r u n ​}

Slide 10 - Slide

Tangent

____________________

tan (∠) = \frac{​ r i s e ​ ​}{​ r u n ​}

Slide 11 - Slide

Tangent

____________________

tan (∠) = \frac{​ r i s e ​ ​}{​ r u n ​}

tan (∠) = \frac{​ o p p o s i t e ​ ​}{​ a d j a c e n t ​} = \frac{​ O ​ ​}{​ A ​}

Slide 12 - Slide

Example

tan (∠ M) = \frac{​ O ​ ​}{​ A ​}

tan (∠ M) = \frac{​ K L ​ ​}{​ L M ​}

tan (\frac{​ O ​ ​}{​ A ​}) = ∠ M

- 1

tan (\frac{​ K L ​ ​}{​ L M ​}) = ∠ M

- 1

Slide 13 - Slide

Example

Calculate M.

∠

Slide 14 - Slide

(inverse) tangent

shift --> tan

gets you tan

tan (∠) = \frac{​ O p p o s i t e ​ ​}{​ A d j a c e n t ​}

tan (\frac{​ O p p o s i t e ​ ​}{​ A d j a c e n t ​}) = ∠

- 1

- 1

Slide 15 - Slide

Fill in.
In the triangle on the right,
the rule is

tan (∠ B) = . . .

\frac{​ 4 . 2 ​ ​}{​ 5 . 6 ​}

\frac{​ 7 ​ ​}{​ 5 . 6 ​}

\frac{​ 4 . 2 ​ ​}{​ 7 ​}

\frac{​ 5 . 6 ​ ​}{​ 4 . 2 ​}

Slide 16 - Quiz

Calculate __A.
Round to the
nearest tenth.

∠

36.9 °

64.4 °

53.1 °

9.3 °

Slide 17 - Quiz

Practice

Last 20 minutes: Gooseboard

Chapter 7

Math A/C

24, 26, 27, 29, 31, 32

Math B/D

23, 27, 31, 32, 34

Discuss 26 later

Slide 18 - Slide

Tan-1 and opposite-adjacent (t3g)

Items in this lesson

Slide 1 - Slide

Slide 2 - Slide

Slide 3 - Slide

Slide 4 - Slide

Slide 5 - Mind map

Slide 6 - Slide

Slide 7 - Slide

Slide 8 - Slide

Slide 9 - Slide

Slide 10 - Slide

Slide 11 - Slide

Slide 12 - Slide

Slide 13 - Slide

Slide 14 - Slide

Slide 15 - Slide

Slide 16 - Quiz

Slide 17 - Quiz

Slide 18 - Slide

More lessons like this

7-3 Calculations with the tangent

Sine (t3g)

Tangent (t3g)

Trigonometry angles

Trigonometric Treasures: Exploring the World of Trigonometric Functions

Trigonometry

Review ch.4-6-7 (t3g)

3Tvwo §6.4 / 3Thavo §6.5 Calculating in right-angled triangles.