1TH/vwo § 9.2 Simplifying formulas-long

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Slide 1 - Diapositive

§ 9.2 Simplifying formulas
The simpler the formulas,
the more we like them!  

Slide 2 - Diapositive

First a little REFRESH on Positive and Negative terms.
see next slides

Slide 3 - Diapositive

- 8 - 6 =
timer
0:15
A
-2
B
2
C
14
D
-14

Slide 4 - Quiz

Who believes in fairytales?
A few examples:
In Hans und Gretel, or in this one:
'Whenever I see two minuses, I write down a plus.'

Slide 5 - Diapositive

 Hans und Gretel is a nice 
but frightening story: 
But what about:
'Whenever I see two minuses, I write down a plus.'

Slide 6 - Diapositive

Now the other one:
 'Whenever I see two minuses, I write down a plus.'
This is NOT TRUE:
7 + 8 = 15                        and                            - 7 - 8 = - 15
When do two minuses make plus?
When MULTIPLYING:          - 5 x - 6 = 30 !

Slide 7 - Diapositive

6 - 8 =
timer
0:15
A
-2
B
2
C
14
D
-14

Slide 8 - Quiz

8 -6 -7 =
timer
0:20
A
5
B
-5
C
21
D
-21

Slide 9 - Quiz

5 - 6 + 7 =
timer
0:15
A
6
B
18
C
-6
D
8

Slide 10 - Quiz

Slide 11 - Diapositive

Slide 12 - Diapositive

Slide 13 - Diapositive

Slide 14 - Diapositive

Like terms ......
                                     are the terms I like !


Slide 15 - Diapositive

f=8h4h+63
f=8h+64h3
8h and 4h are like terms
and
6 and 3 are like terms
so you can write 

like
f=4h+3

Slide 16 - Diapositive

2p + 4 + 3p + 6 =
timer
0:15
A
6p + 24
B
15
C
15p
D
5p + 10

Slide 17 - Quiz

Solution:

2p + 4 + 3p + 6 = 
2p + 3p + 4 + 6 =
5p + 10

Slide 18 - Diapositive

4c - 5 - 6c + 3 =
timer
0:15
A
-2c -2
B
-2c + 2
C
10c + 8
D
-4c

Slide 19 - Quiz

Solution:
4c - 5 - 6c + 3 =
4c - 6c - 5 + 3 =
-2c - 2

Slide 20 - Diapositive

Note : You do not need to write the number 1

Slide 21 - Diapositive

shorten as much as possible:
4d - 3d + 5t - 6t =
timer
0:15
A
7d + 11t
B
d - t
C
1d - 1t
D
d + t

Slide 22 - Quiz

Solution:
4d - 3d + 5t - 6t =
1d + - 1t =
d - t

Slide 23 - Diapositive

The word AREA (= oppervlakte) you will
probably know.
However, do you know the English word for 
'OMTREK' ? (In exercise 15 this comes up.)
See the next slides for an explanation and some illustrations!   
First the AREA comes up.

Slide 24 - Diapositive

Slide 25 - Diapositive

AREA     -    PERIMETER
The English word for 
'OMTREK'  is:   PERIMETER ! 
For an illustration, see the next slide. 

Slide 26 - Diapositive

The Perimeter here consists
of all the blue and red lengths:
15 cm + 15 cm + 15 cm + 15 cm
+ b + b + b + b
TASK:
SHORTEN this expression (=uitdrukking) above.

Slide 27 - Diapositive


timer
0:13
A
60 cm + b
B
64 b
C
60 cm + 4b

Slide 28 - Quiz

Solution:
15 cm + 15 cm + 15 cm + 15cm = 60 cm
b + b + b + b = 4b,         so:
the total result is:
P = 60 + 4b


Slide 29 - Diapositive

Homework
Paragraph 9.2
You may all skip exercise 8 (we did this in the Lessonup.)
Havo and H/V: choose between the Support path and the Standard path
Vwo: do the challenge path, so : skip 12 and 13 
but do:    C3 and C4!

Slide 30 - Diapositive