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2Tvwo §6.3 Applying the theorem(1)
§6.3 Applying the Theorem
Learning goal today:
How to apply (= toepassen) Pythagoras' theorem.
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Wiskunde
Middelbare school
vwo
Leerjaar 2
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25 slides
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interactive quiz
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Lesson duration is:
50 min
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§6.3 Applying the Theorem
Learning goal today:
How to apply (= toepassen) Pythagoras' theorem.
Slide 1 - Slide
Today it's time for some practice!
Isn't every Maths lesson rather practical?
True, but now we use situations from daily life.
Slide 2 - Slide
§6.3 Applying the theorem
skip 16 and 23
Whose theorem?
See next slide!
Slide 3 - Slide
Slide 4 - Slide
Slide 5 - Slide
Let's look at a practical situation.
Somebody wants to know a certain length:
Slide 6 - Slide
This sketch is illustrative but should be more abstract (as we will soon see!):
Slide 7 - Slide
To calculate lengths in a right-angled triangle with the Theorem of Pythagoras we need
2 basic things:
a. a SKETCH and
b. a SCHEME
Watch the following slide, offering us a fine Method!
Slide 8 - Slide
Slide 9 - Slide
So, in §6.3 ....
You are not given the right-angled triangles any more,
but you can easily:
+ make your own sketch of a right-angled triangle and
+ make the corresponding scheme, and finally
+ calculate the missing length !
+ a joke first!
Slide 10 - Slide
Slide 11 - Slide
FOTOVRAAG:
Let's do exercise 16a, p.208 now.
Open your Notebook and MAKE a SKETCH. See below.
FOTOVRAAG: Make the SKETCH, take a pic and send it in!
timer
1:00
Slide 12 - Slide
My SKETCH:
Slide 13 - Open question
Slide 14 - Slide
Now calculate the distance!
Make the SCHEME that belongs to the SKETCH!
With that scheme calculate the distance.
Slide 15 - Slide
Solution:
Slide 16 - Slide
Rounding off the answer tells us more:
133 metres is the length of the diagonal.
Slide 17 - Slide
A few tips for a few exercises!
Slide 18 - Slide
What could the Sketch for 20 look like?
Make this Sketch in your Notebook now!
timer
1:00
Slide 19 - Slide
Like this:
Slide 20 - Slide
Now 22, with a few difficult words:
1. What is a 'cylindrical barrel'?
2. What is the 'diameter' of a circle?
Slide 21 - Slide
answer 1. Here are 2 cylindrical barrels:
Slide 22 - Slide
answer 2: the diameter of a circle:
Slide 23 - Slide
When doing 22...
Think back of this information,
making a good
+ SKETCH and
+ SCHEME, to
+ calculate the answer!
Slide 24 - Slide
Homework time again.
You may skip 16 and 23.
Good luck rounding off §6.3!
Slide 25 - Slide
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