3Tvwo §6.5 / 3Thavo §6.6 Angles in solids

§6.5 or §6.6 Angles in solids
Start yourself by making exercise 
+ 33 p.218 (3T havo) or
+ 27 p.208 (3T vwo) !


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Slide 1: Tekstslide
WiskundeMiddelbare schoolhavo, vwoLeerjaar 3

In deze les zitten 31 slides, met interactieve quizzen en tekstslides.

time-iconLesduur is: 50 min

Onderdelen in deze les

§6.5 or §6.6 Angles in solids
Start yourself by making exercise 
+ 33 p.218 (3T havo) or
+ 27 p.208 (3T vwo) !


Slide 1 - Tekstslide

Explanation §6.6
After you tried 27 / 33 for yourself, we are now going to
study the Method to:
Calculate the angle between two line segments in a solid!

Slide 2 - Tekstslide

Slide 3 - Tekstslide

Slide 4 - Tekstslide

3Tvwo:
Difficult exercise from:

§6.4 vwo: 26
§6.5 havo: 32
'Calculating in right-angles triangles'.

Slide 5 - Tekstslide

3Tvwo 26, p.206

Slide 6 - Tekstslide

Make a in your Notebook now,
if you did not manage to do so earlier!

Slide 7 - Tekstslide

Slide 8 - Tekstslide

What is the good order from now on?
Calculate ......, ......, ........ and .......
A
SP, HP, PZ and HZ
B
PZ, HP, SP and HZ
C
HP, SP, PZ and HZ
D
HP, SZ, PZ and HZ

Slide 9 - Quizvraag

In the next slides,

You will be shown exactly how to do work out 26.   
                                 
1.    Compare to your own work.
2.    If you did not manage at all, at home, then follow the steps carefully and
3.    Later, at home, try 26 again!
4.    Using your Memory and Creativity and finally checking with the Solutionsbook,
        you will have learnt a lot!

Slide 10 - Tekstslide

Slide 11 - Tekstslide

next step: calculate SP.

Slide 12 - Tekstslide

Slide 13 - Tekstslide

next: calculate PZ

Slide 14 - Tekstslide

finally : calculate HZ !

Slide 15 - Tekstslide

3Thavo 32, p.216

Slide 16 - Tekstslide

Task: Think of a way to find the answer.
Key this in in the next slide!

Slide 17 - Tekstslide

How to calculate 32a?
With ...............
A
cosine 18 degrees
B
tan 18 degrees
C
Pythagoras
D
a ratio table

Slide 18 - Quizvraag

Answer to 32a:

Slide 19 - Tekstslide

Task: think of a way to find the answer.
Key this in, in the next slide!

Slide 20 - Tekstslide

How to calculate 32b ?
With ........................
A
sin angle B
B
Pythagoras
C
tan angle B
D
tan angle B

Slide 21 - Quizvraag

answer to 32b:

Slide 22 - Tekstslide

Slide 23 - Tekstslide

or is it ??!

Slide 24 - Tekstslide

What is meant by 32c ?
Key this in, in the next slide!

Slide 25 - Tekstslide

What is meant by 32c?

Slide 26 - Woordweb

Answer:
In 32c they mean: 
the difference between:
+ distance AB and 
+ the length of the stretched cord

Slide 27 - Tekstslide

What is not helpful, in calculating 32c?
(one option only)
A
cosine angle A
B
tan angle A and tan angle B
C
Pythagoras in both right-angled triangles
D
sine angle B

Slide 28 - Quizvraag

Explanation:
Only answer B was certainly not helpful, because
the tangent does not deal with the hypotenuse -or longest side in a triangle- and that is the side we need to know!

Slide 29 - Tekstslide

Slide 30 - Tekstslide

Homework time.

Slide 31 - Tekstslide