2Tvwo §6.2 part 1 Calculating a side and part 2

§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 27 slides, met interactieve quizzen en tekstslides.

Lesduur is: 50 min

Onderdelen in deze les

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

Slide 1 -Tekstslide

Learning goal:
You will learn how to calculate the length of an

UNKNOWN side of a right-angled triangle

Who is he?

Slide 3 -Woordweb

§6.2 Calculating a side
Welcome back to: Pythagoras!
Next slide shows us another picture
of this great Maths person

Slide 5 -Tekstslide

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

Slide 6 -Quizvraag

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

exercise 6
length side
area square
p =
.. =
.. =

Slide 8 -Tekstslide

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

Slide 9 -Tekstslide

Here is the sketch:

Slide 12 -Tekstslide

Do c now:
First copy the scheme! Then:

Time to do d:

Slide 15 -Tekstslide

'exact' is not rounded off!

Slide 16 -Tekstslide

Homework time.
Do 0f §6.1 and 6.2 now,
+  6, 7 and 8
+  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 17 -Tekstslide

A few fine points from this paragraph follow now!

Slide 18 -Tekstslide

6.2 part 2 How to calculate length BD?!

Slide 19 -Tekstslide

We want to calculate BD.
What to calculate first?

Slide 20 -Woordweb

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

Slide 21 -Tekstslide

One more new thing from §6.2!

Slide 22 -Tekstslide

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

Slide 23 -Tekstslide

How to calculate these lengths?

Slide 24 -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 26 -Tekstslide

Homework time again.
Finish as much as you can!