2Tvwo §6.2 Calculating a side

§6.2 Calculating a side
Do you remember our old, bearded friend from the past?
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Slide 1: Tekstslide
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In deze les zitten 26 slides, met interactieve quizzen en tekstslides.

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§6.2 Calculating a side
Do you remember our old, bearded friend from the past?

Slide 1 - Tekstslide

Who is he?

Slide 2 - Woordweb

§6.2 Calculating a side
Welcome back to: Pythagoras!
Next slide shows us another picture
of this great Maths chap, that coud've been anybody's neighbour. Or uncle, for that matter...

Slide 3 - Tekstslide

Slide 4 - Tekstslide

The theorem of Pythagoras
is about the sides of a right-angled triangle
is used to calculate an unknown side
is invented by Pete Agoras
is more than 2000 years old but still going strong

Slide 5 - Quizvraag

The theorem of Pythagoras...
asks for the use of a very handy scheme!

Slide 6 - Tekstslide

Let's do exercise 8 together,
start doing 8 a), making a sketch!

Slide 7 - Tekstslide

Here is the sketch:

Slide 8 - Tekstslide

Now think hard about b:

Slide 9 - Tekstslide

answer for b:

Slide 10 - Tekstslide

Do c now:
First copy the scheme! Then:

Slide 11 - Tekstslide

answer for c:

Slide 12 - Tekstslide

Slide 13 - Tekstslide

Time to do d:

Slide 14 - Tekstslide

answer for d:
'exact' is not rounded off!

Slide 15 - Tekstslide

Homework time.
Do §6.2 now, 
+  start with 7, then 9, 10, etcetera
+  make the SCHEME with lengths for every exercise!!
+  remember to place the hypotenuse (=longest side) at the bottom
+ later on this LessonUp is continued

Slide 16 - Tekstslide

A few fine points from this paragraph follow now!

Slide 17 - Tekstslide

How to calculate length BD?!

Slide 18 - Tekstslide

We want to calculate BD.
What to calculate first?

Slide 19 - Woordweb

Solution:   First calculate length CD in right-angled triangle ACD.
Then only calculate length BD in right-angled triangle BCD!

Slide 20 - Tekstslide

One more new thing from §6.2!

Slide 21 - Tekstslide

How (on earth) can you calculate DE or GH?
We do not even have a right-angled triangle! 

Slide 22 - Tekstslide

How to calculate these lengths?

Slide 23 - Woordweb

Solution: we make a right-angled triangle ourself!!
With that we can make the SCHEME and calculate the unknown side.
In the next slide you see Pythagoras, going crazy about his Theorem once more...

Slide 24 - Tekstslide

Slide 25 - Tekstslide

Homework time again.
Finish as much as you can!

Slide 26 - Tekstslide