2Tvwo §6.3 Applying the theorem(1)

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§6.3 Applying the Theorem

Learning goal today:

How to apply (= toepassen) Pythagoras' theorem.

Today it's time for some practice!

Isn't every Maths lesson rather practical?

True, but now we use situations from daily life.

§6.3 Applying the theorem

skip 16 and 23

Whose theorem?

See next slide!

Let's look at a practical situation.

Somebody wants to know a certain length:

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

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!

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!

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!

My SKETCH:

Now calculate the distance!

Make the SCHEME that belongs to the SKETCH!

With that scheme calculate the distance. 

Solution:

Rounding off the answer tells us more:

133 metres is the length of the diagonal.

A few tips for a few exercises!

What could the Sketch for 20 look like?

Make this Sketch in your Notebook now!

Like this:

Now 22, with a few difficult words:

1. What is a 'cylindrical barrel'?

2. What is the 'diameter' of a circle?

answer 1. Here are 2 cylindrical barrels:

answer 2: the diameter of a circle:

When doing 22...

Think back of this information,

making a good 

+  SKETCH and 

+  SCHEME, to

+  calculate the answer!

Homework time again.

You may skip 16 and 23.

Good luck rounding off §6.3!