2Tvwo § 3.4 Simplifying square roots '19'20

Before doing §3.4 Simplifying square roots,
we do exercise C6, p.103, of §3.3

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WiskundeMiddelbare schoolhavo, vwoLeerjaar 2

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Before doing §3.4 Simplifying square roots,
we do exercise C6, p.103, of §3.3

Next slide
shows it to you
a bit bigger.
Make this task 
right now in your 
Notebook!

Slide 1 - Diapositive

TIP:
1. Copy 
the Sketch
2. Fill in all the
lengths of the
sides and
3. Calculate the
AREA. 
timer
3:00

Slide 2 - Diapositive

Task:
Solution:     

Slide 3 - Diapositive

§3.4 Simplifying square roots
In this § you will learn how to write a square root as:
a multiplication of a whole number and a root, like
                         =
The reason why this is allowed and why it is useful, soon follows!

50
52

Slide 4 - Diapositive

Let's talk business, as usual!
- open your Textbook and Notebook and
- Make exercise 26, p.105, §3.4   So:  skip 24 and 25 !
- Study the Theory on p.105
- still time left? Go on with 27, etcetera.
timer
5:00

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In 26 you tried to write 
as a multiplication of a whole number and a root.
This is how it is possible:
                    =                 x       
                   = 2  and so we get the final form:
                     =       
40
40
4
10
4
40
210

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You are going to learn this method by practising a lot!
How could we rewrite: 
as a multiplication of a whole number and a root?
So write it in this shape:             = .... x  .   .....
ANS
12
12

Slide 8 - Diapositive


12
A
4 root 3
B
6 root 2
C
2 root 3
D
3 root 2

Slide 9 - Quiz

Solution:

=                        x                  =  2  x               = 2             

12
4
3
3
3

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Make exercise 27 and 28 and after that ...
Study Method on p.106.
Still time left?
Go on with 29, 30 and 31.
timer
8:00

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Now we do 27 and 28 together!

First a real root joke.

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Your teacher will ask some of you what to fill in here.
So you can check what you just made in your Notebook.

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Let's tackle these in the same way!

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Now we look back at this exercise, that you just tried to do.
32 is divisible by the square numbers:  1, 4  and  16.
Did you have it correct?

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Let's find out together what had to be filled in here!

Slide 18 - Diapositive

Did have this one good?
If not, do you now understand it?
Anyway, let's Study the Method on p.106 now!

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Let's do one more together, 
to see if you understand it.
Simplify 
ANS
63

Slide 21 - Diapositive

63
I simplify

Slide 22 - Carte mentale

Explanation:
                =             x          =    3       x             =  
You've just been doing 29a!
When doing 29b, c etcetera, don't skip any of the steps,
in order to avoid making mistakes. 
63
9
7
7
37

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Homework
Do §3.4 ,  skipping 24 and 25.
Don't forget to CHECK your work with the famous Solutionsbook.
Send in your pictures.

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HOMEWORK
Make and correct §3.4
(and anything from Refresh, §3.1, §3.2 and §3.3 you have not done yet)

Slide 25 - Diapositive