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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Slide 1: Tekstslide
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In deze les zitten 25 slides, met interactieve quiz en tekstslides.

Lesduur is: 50 min

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§6.3 Applying the Theorem
Learning goal today:
How to apply (= toepassen) Pythagoras' theorem.

Slide 1 -Tekstslide

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 -Tekstslide

§6.3 Applying the theorem
skip 16 and 23
Whose theorem?
See next slide!

Slide 5 -Tekstslide

Let's look at a practical situation.
Somebody wants to know a certain length:

Slide 6 -Tekstslide

This sketch is illustrative but should be more abstract (as we will soon see!):

Slide 7 -Tekstslide

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 9 -Tekstslide

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 11 -Tekstslide

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

My SKETCH:

Slide 14 -Tekstslide

Now calculate the distance!
Make the SCHEME that belongs to the SKETCH!
With that scheme calculate the distance.

Solution:

Slide 16 -Tekstslide

Rounding off the answer tells us more:
133 metres is the length of the diagonal.

Slide 17 -Tekstslide

A few tips for a few exercises!

Slide 18 -Tekstslide

What could the Sketch for 20 look like?
Make this Sketch in your Notebook now!
timer
1:00

Like this:

Slide 20 -Tekstslide

Now 22, with a few difficult words:

1. What is a 'cylindrical barrel'?
2. What is the 'diameter' of a circle?

Slide 21 -Tekstslide

answer 1. Here are 2 cylindrical barrels:

Slide 22 -Tekstslide

answer 2: the diameter of a circle:

Slide 23 -Tekstslide

When doing 22...

Think back of this information,
making a good
+  SKETCH and
+  SCHEME, to