Recap

Chapter 11

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WiskundeMiddelbare schoolhavoLeerjaar 3

This lesson contains 37 slides, with interactive quiz and text slides.

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Chapter 11

You need your Ipad, calculator and notebook

Slide 1 - Slide

Today

Recap chapter 11 (10 min)
Work in Bettermarks (35 min)
Or explanation about a certain paragraph (35 min)
End lesson (5 min)

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11.1 Pythagoras

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11.1 Pythagoras

A B^{​ 2 ​ ​} + B C^{​ 2 ​ ​} = A C^{​ 2 ​ ​}

Slide 4 - Slide

11.1 Pythagoras

A B^{​ 2 ​ ​} + B C^{​ 2 ​ ​} = A C^{​ 2 ​ ​}

7^{​ 2 ​ ​} + 11^{​ 2 ​ ​} = A C^{​ 2 ​ ​}

Slide 5 - Slide

11.1 Pythagoras

A B^{​ 2 ​ ​} + B C^{​ 2 ​ ​} = A C^{​ 2 ​ ​}

7^{​ 2 ​ ​} + 11^{​ 2 ​ ​} = A C^{​ 2 ​ ​}

49 + 121 = A C^{​ 2 ​ ​}

Slide 6 - Slide

11.1 Pythagoras

A B^{​ 2 ​ ​} + B C^{​ 2 ​ ​} = A C^{​ 2 ​ ​}

7^{​ 2 ​ ​} + 11^{​ 2 ​ ​} = A C^{​ 2 ​ ​}

49 + 121 = A C^{​ 2 ​ ​}

170 = A C^{​ 2 ​ ​}

Slide 7 - Slide

11.1 Pythagoras

A B^{​ 2 ​ ​} + B C^{​ 2 ​ ​} = A C^{​ 2 ​ ​}

7^{​ 2 ​ ​} + 11^{​ 2 ​ ​} = A C^{​ 2 ​ ​}

49 + 121 = A C^{​ 2 ​ ​}

170 = A C^{​ 2 ​ ​}

A C = \sqrt ​ 170 ​ ​ ​

Slide 8 - Slide

11.1 Pythagoras

A B^{​ 2 ​ ​} + B C^{​ 2 ​ ​} = A C^{​ 2 ​ ​}

7^{​ 2 ​ ​} + 11^{​ 2 ​ ​} = A C^{​ 2 ​ ​}

49 + 121 = A C^{​ 2 ​ ​}

170 = A C^{​ 2 ​ ​}

A C = \sqrt ​ 170 ​ ​ ​

A C \approx 13, 04

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11.2 Soh Cah Toa angles

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11.2 Soh Cah Toa angles

Adjacent side: QR

Opposite side: QS

Hypothenuse: RS

Slide 11 - Slide

11.2 Soh Cah Toa angles

Soh, Cah, Toa

sin (θ) = \frac{​ o p p o s i t e ​ ​}{​ h y p o t e n u s e ​}

cos (θ) = \frac{​ a d j a c e n t ​ ​}{​ h y p o t e n u s e ​}

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

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11.2 Soh Cah Toa angles

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11.2 Soh Cah Toa angles

tan (∠ B) = \frac{​ o ​ ​}{​ a ​}

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11.2 Soh Cah Toa angles

tan (∠ B) = \frac{​ o ​ ​}{​ a ​}

tan (∠ B) = \frac{​ 1 5 ​ ​}{​ 8 ​}

Slide 15 - Slide

11.2 Soh Cah Toa angles

tan (∠ B) = \frac{​ o ​ ​}{​ a ​}

tan (∠ B) = \frac{​ 1 5 ​ ​}{​ 8 ​}

tan (∠ B) = 1.875

Slide 16 - Slide

11.2 Soh Cah Toa angles

tan (∠ B) = \frac{​ o ​ ​}{​ a ​}

tan (∠ B) = \frac{​ 1 5 ​ ​}{​ 8 ​}

tan (∠ B) = 1.875

∠ B = tan^{​ - 1 ​ ​} (1.875)

Slide 17 - Slide

11.2 Soh Cah Toa angles

tan (∠ B) = \frac{​ o ​ ​}{​ a ​}

tan (∠ B) = \frac{​ 1 5 ​ ​}{​ 8 ​}

tan (∠ B) = 1.875

∠ B = tan^{​ - 1 ​ ​} (1.875)

∠ B \approx 61.92

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11.3 Soh Cah Toa sides

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11.3 Soh Cah Toa sides

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11.3 Soh Cah Toa sides

cos (∠ K) = \frac{​ a ​ ​}{​ h ​}

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11.3 Soh Cah Toa sides

cos (66) = \frac{​ K M ​ ​}{​ 1 9 ​}

cos (∠ K) = \frac{​ a ​ ​}{​ h ​}

Slide 22 - Slide

11.3 Soh Cah Toa sides

cos (66) = \frac{​ K M ​ ​}{​ 1 9 ​}

0.406 . . . = \frac{​ K M ​ ​}{​ 1 9 ​}

cos (∠ K) = \frac{​ a ​ ​}{​ h ​}

Slide 23 - Slide

11.3 Soh Cah Toa sides

cos (66) = \frac{​ K M ​ ​}{​ 1 9 ​}

0.406 . . . = \frac{​ K M ​ ​}{​ 1 9 ​}

K M = 0.406 . . . \cdot 19

cos (∠ K) = \frac{​ a ​ ​}{​ h ​}

Slide 24 - Slide

11.3 Soh Cah Toa sides

cos (66) = \frac{​ K M ​ ​}{​ 1 9 ​}

0.406 . . . = \frac{​ K M ​ ​}{​ 1 9 ​}

K M = 0.406 . . . \cdot 19

K M \approx 7.73

cos (∠ K) = \frac{​ a ​ ​}{​ h ​}

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11.3 Soh Cah Toa Sides

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11.3 Soh Cah Toa Sides

sin (∠ P) = \frac{​ o ​ ​}{​ h ​}

Slide 27 - Slide

11.3 Soh Cah Toa Sides

sin (48) = \frac{​ 7 ​ ​}{​ F G ​}

sin (∠ P) = \frac{​ o ​ ​}{​ h ​}

Slide 28 - Slide

11.3 Soh Cah Toa Sides

0.74 . . . = \frac{​ 7 ​ ​}{​ F G ​}

sin (48) = \frac{​ 7 ​ ​}{​ F G ​}

sin (∠ P) = \frac{​ o ​ ​}{​ h ​}

Slide 29 - Slide

11.3 Soh Cah Toa Sides

0.74 . . . = \frac{​ 7 ​ ​}{​ F G ​}

F G = \frac{​ 7 ​ ​}{​ 0 . 7 4 . . . ​}

sin (48) = \frac{​ 7 ​ ​}{​ F G ​}

sin (∠ P) = \frac{​ o ​ ​}{​ h ​}

Slide 30 - Slide

11.3 Soh Cah Toa Sides

0.74 . . . = \frac{​ 7 ​ ​}{​ F G ​}

F G = \frac{​ 7 ​ ​}{​ 0 . 7 4 . . . ​}

F G \approx 9.42

sin (48) = \frac{​ 7 ​ ​}{​ F G ​}

sin (∠ P) = \frac{​ o ​ ​}{​ h ​}

Slide 31 - Slide

11.4 Soh Cah Toa Applications

Calculate the height of the kite

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11.5 Soh Cah Toa 3D

Calculate the height of the pyramid

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11.6 similar triangles

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Chapter 11

11.1 Pythagoras
11.2 Soh Cah Toa Angles
11.3 Soh Cah Toa Sides
11.4 Soh Cah Toa Applications
11.5 Soh Cah Toa 3D
11.6 Similar triangles

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What would you like to do this lesson

11.1

11.2

11.3

11.4

11.5

11.6

Work in Bettermarks

Slide 36 - Poll

Bettermarks

Work in Bettermarks on previous homework or 11.7 Recap
You can ask questions when I've finished my explanation
Communicate in English please

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Recap

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