Working with powers + scientific notation

Math
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Slide 1: Tekstslide
WiskundeMiddelbare schoolhavo, vwoLeerjaar 1

In deze les zitten 39 slides, met interactieve quizzen, tekstslides en 1 video.

time-iconLesduur is: 20 min

Onderdelen in deze les

Math
You need:
Laptop
Notebook
Pencil case

Slide 1 - Tekstslide


62=
A
12
B
-12
C
36
D
-36

Slide 2 - Quizvraag


(2)4=

Slide 3 - Open vraag

Simplify:
6(a+3)=
A
6a + 9
B
6a3
C
6a + 18
D
18a

Slide 4 - Quizvraag

Simplify: (type in your answer without spaces)
7(t5)=

Slide 5 - Open vraag

Slide 6 - Video

Note: scientific notation

Slide 7 - Tekstslide

In scientific notation:
189,000,000 =
A
1.89108
B
1.89109
C
1.891010
D
1.9109

Slide 8 - Quizvraag

Write in scientific notation:
78,000
(10 to the power of 5: 10^5 )

Slide 9 - Open vraag

Write in normal notation:
(without comma's or points)

5.24106

Slide 10 - Open vraag


t3t4=ttttttt=t7
t5  t4 = ?
A
9t
B
t9
C
t20
D
20t

Slide 11 - Quizvraag

Powers with a higher exponent

Learning goal:
how to calculate with powers

Slide 12 - Tekstslide

Slide 13 - Tekstslide

Recap 

Slide 14 - Tekstslide

Slide 15 - Tekstslide

TASK 1:
Work out and answer in the next slide:

43=...

Slide 16 - Tekstslide

Task 1:
4 to the power of 3 equals ...
timer
0:20
A
12
B
64
C
7
D
46

Slide 17 - Quizvraag

Solution:
                  = 4 x 4 x 4 = 64
43

Slide 18 - Tekstslide

As I said in earlier lessons:
+ adding terms is only possible if there are Like Terms,
    for example:    7z + 5z = 12z,  but
+ multiplying is always possible, for example:
    h = 4 x c x c x c =                          g = 0.5 x d x d x d x d x 6 = 
As you see: multiply the numbers and multiply the letters!
4c3
3d4

Slide 19 - Tekstslide

Slide 20 - Tekstslide

Task 2:
Write as third power:
m = 4 x f x f x f x 3    Choose the good answer from:
A.                                     B.                                     C.                                    D.  

Remember your answer and answer in the next slide.
m=12f3
12f3
m=12f
m=7f
timer
0:25

Slide 21 - Tekstslide


A
*
B
*
C
*
D
*

Slide 22 - Quizvraag

Solution:
Shorten:
m = 4 x f x f x f x 3    Choose the good answer from:
A.                                     B.                                     C.                                    D.  
 
As       4 x3 = 12      and    f x f x f =                      C. is the good answer!
m=12f3
12f3
m=12f
m=7f
f3

Slide 23 - Tekstslide

Task 3:
Write as a third power and answer in the next slide:
d =  6 x         x         x 0.5 = ...  
A.  d =                                                       C.  d = 
B.   d =                                                      D.     
c2
c
6.5c3
3c3
3c
3c3
timer
0:21

Slide 24 - Tekstslide


A
&
B
&
C
&
D
&

Slide 25 - Quizvraag

Solution:
Write as a third power and answer in the next slide:
d =  6 x         x         x 0.5 = ...  
A.  d =                                                       C.  d = 
B.   d =                                                      D.  
Because 6 x 0.5 = 3   and             x             =                 ,            So   C. is correct!!
c2
c
6.5c3
3c3
3c
3c3
c
c2
c3

Slide 26 - Tekstslide

Slide 27 - Tekstslide

Something new now:
How to write this as one power:
x                  =   .......
????????????
Watch the next slide for a simple way to do this!

23
24

Slide 28 - Tekstslide

How to write this as one power?
First we write it as long as possible:
             x                  =   2 x 2 x 2     x   2 x 2 x 2 x 2      
This last expression, with only multiplications of 2, we can write as ONE POWER, by just counting the number of 2-s !  Then we get:





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24
27

Slide 29 - Tekstslide

summarizing:

             x                  =   2 x 2 x 2     x   2 x 2 x 2 x 2      =   
Wait a sec: What we actually did was ADDING the EXPONENTS
together. In this way we got the NEW EXPONENT!
Let's study the THEORY from p.192 now.





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24
27

Slide 30 - Tekstslide

Slide 31 - Tekstslide

Slide 32 - Tekstslide

Starter

Slide 33 - Tekstslide


A
9p16q11
B
9p10q15
C
6p12q9
D
6p10q15

Slide 34 - Quizvraag

HOMEWORK:

Slide 35 - Tekstslide

Slide 36 - Tekstslide

Slide 37 - Tekstslide

Homework: 70,71 and 72

Slide 38 - Tekstslide

Slide 39 - Tekstslide