# 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: Slide
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This lesson contains 25 slides, with interactive quiz and text slides. Lesson duration is: 50 min

## Items in this lesson

§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 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 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 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

My SKETCH:

#### Slide 14 -Slide

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

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

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