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: Diapositive

WiskundeMiddelbare schoolvwoLeerjaar 3

Cette leçon contient 18 diapositives, avec quiz interactifs et diapositives de texte.

La durée de la leçon est: 60 min

Éléments de cette leçon

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 - Diapositive

Schedule

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

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

Slide 2 - Diapositive

Programme

Slide 3 - Diapositive

Announcements

Got It!

Slide 4 - Diapositive

the gradient of a hill
vs.
its angle of elevation

Slide 5 - Carte mentale

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 - Diapositive

(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 - Diapositive

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 - Diapositive

Today's

Intended Learning Outcomes

At the end of the lesson you can...

Use opposite and adjacent sides in calculations with tangent

Slide 9 - Diapositive

Tangent

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

Slide 10 - Diapositive

Tangent

____________________

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

Slide 11 - Diapositive

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 - Diapositive

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 - Diapositive

Example

Calculate M.

∠

Slide 14 - Diapositive

(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 - Diapositive

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 - Diapositive

Tan-1 and opposite-adjacent (t3g)

Éléments de cette leçon

Slide 1 - Diapositive

Slide 2 - Diapositive

Slide 3 - Diapositive

Slide 4 - Diapositive

Slide 5 - Carte mentale

Slide 6 - Diapositive

Slide 7 - Diapositive

Slide 8 - Diapositive

Slide 9 - Diapositive

Slide 10 - Diapositive

Slide 11 - Diapositive

Slide 12 - Diapositive

Slide 13 - Diapositive

Slide 14 - Diapositive

Slide 15 - Diapositive

Slide 16 - Quiz

Slide 17 - Quiz

Slide 18 - Diapositive

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