2TTO §6.1 Pythagoras' theorem

§6.1 Pythagoras' theorem
Before learning his so called famous theorem,
who was Pythagoras?
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§6.1 Pythagoras' theorem
Before learning his so called famous theorem,
who was Pythagoras?

Slide 1 - Diapositive

Pythagoras
A
is made up, never lived
B
invented the important number 'pi', for circles
C
founded a secret school and was a vegetarian
D
was a Greek philosopher from the 6th century BC

Slide 2 - Quiz

In the next slide you see...

+ what he could have looked like
+ even if he does not have the looks of a popstar
+ he still lookes quite fresh in our 21st century's eyes!
(except for the beard, perhaps...)

Slide 3 - Diapositive

Slide 4 - Diapositive

Some new words:
shorter sides  and  hypotenuse!




video with water
                            video ( ;)  also in Studiewijzer)
                     (video Wiskundeacademie)

Slide 5 - Diapositive

Homework time. 
Make a good start yourself. Later this is to be continued!

Slide 6 - Diapositive

Pythagoras' theorem.
Next slide shows you shortly what it is all about!

Slide 7 - Diapositive

Slide 8 - Diapositive

Let's do exercise 4 together now.
Make all steps in your Notebook!

Slide 9 - Diapositive

Slide 10 - Diapositive

a.   Area smallest square = .............................
       Area greatest square = .........................
b.   Area square on hypothenuse = ..................................
c.   c = ........ 

Slide 11 - Diapositive

In the next slide you see ......
a very handy scheme, to calculate the unknown side!
Copy this scheme and fill it in, with me!

Slide 12 - Diapositive

Slide 13 - Diapositive

Use this scheme....
doing exercises 5, 6 and many more in this chapter!

Slide 14 - Diapositive

Homework time.
Now that you know Pythagoras a bit more,
+      make a good use of his Theorem
+      applying this in the Scheme we made in exercise 4
+      good luck! 

Slide 15 - Diapositive