2Tvwo Ch7 SUMMARY

Ch7 SUMMARY p.32-35
First we go through all content of 
§7.1  up and including §7.5 again!
several questions for you to answer and score some points.

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Slide 1: Slide
WiskundeMiddelbare schoolvwoLeerjaar 2

This lesson contains 28 slides, with interactive quizzes and text slides.

time-iconLesson duration is: 50 min

Items in this lesson

Ch7 SUMMARY p.32-35
First we go through all content of 
§7.1  up and including §7.5 again!
several questions for you to answer and score some points.

Slide 1 - Slide

Ch7 SUMMARY
Lotta Recap follows!

Slide 2 - Slide

Recap: Factor
A factor is the number you multiply an original amount by, to get the new amount.

You should be able to calculate the factor for a given increase/decrease in percent and also the other way around.
Drawing a diagram can help!

Slide 3 - Slide

Recap: Factor

Slide 4 - Slide

Exercise 1:           to be filled in in next slide!
(so remember your choice)
What factors belong to:
    1. the increase of 21 % and  
    2. the decrease of 32 % ?
A. 121 and 68                  B.  0.79 and 1.32
C.  1.21 and 0.68             D.  79 and 132  

Slide 5 - Slide

Which factors belong to
1. an increase of 21 % and
2. a decrease of 32 % ?
A
121 and 68
B
0.79 and 1.32
C
1.21 and 0.68
D
79 and 132

Slide 6 - Quiz

Explanation:
1. an increase of 21 % means:
100 % + 21 % = 121 %   so  factor 1.21
2. a decrease of 32% means:
100 % - 32 % = 68 %  so factor 0.68

Slide 7 - Slide

Recap: Factor


The key word here 
is 'change'
 (in percentage)!

Slide 8 - Slide

Exercise 2: the same way as number 1
What change in percentage corresponds to a factor 
of 0.76 ?
A.  a 34 % decrease   B. a 34 % increase
C. a 76 % decrease  D. a 76 % decrease

Slide 9 - Slide

Change in % if factor is 0.76 ?
A
a 24 % decrease
B
a 24 % increase
C
a 76 % decrease
D
a 34 % decrease

Slide 10 - Quiz

Explanation:
factor  0.76  corresponds to 76 % of the old amount
so  100 % - 76 % = 34 %
Conclusion:
multiplying by factor 0.76 means that 34 % is taken off!

Slide 11 - Slide

Recap: Factor


The key word here is:
'change' (in percentage) !

Slide 12 - Slide

Exercise 3: again in the same way.
What change in percentage corresponds to a factor of 3 ?           A. 400 %         B. 300 %
      C. 130 %              D. 200 % 

Slide 13 - Slide

What change in %
corresponds to a factor of 3 ?
A
400 %
B
300 %
C
130 %
D
200 %

Slide 14 - Quiz

Explanation:
If you do:                  x 3,
then  you get:
100 %  x  3  =  300 %
But.... at the start we already had 100 %.
So the change is:      300 % - 100 % = 200 % more!

Slide 15 - Slide

Those nasty percentages ......
These little fellas really made us sweat!

Slide 16 - Slide

Slide 17 - Slide

Recap: Exponential formulas
A table or graph shows exponential growth if the bottom row (=vertical variable) is multiplied by the same number everytime the top row/horizontal variable increases by 1. (read this at least two times!)

An exponential formula has the form
b is the initial amount, the value of y when x = 0
g is the growth factor, the number you multiply with.
y=bgx

Slide 18 - Slide

Recap: Exponential formulas

Slide 19 - Slide

Recap: Growth factor
If the growth factor is between 0 and 1,
the graph is decreasing.

If the growth factor is 1,
the graph is constant

If the growth factor is more than 1,
the graph is increasing.

Slide 20 - Slide

The following slides ...
we skip for now, because they are about 
§7.5 Standard notation!
You'll just see them coming by, till the last slide comes up. 

Slide 21 - Slide

Recap: Standard notation
A number in standard (=scientific) notation is a number between 1 and 10 multiplied by a power of 10.

The power of 10 tells you how many places you should move the decimal point to the right (positive power) or to the left (negative powers).

You should be able to write normal numbers in standard notation and the other way around.

Slide 22 - Slide

Recap: Standard notation
Write these numbers in standard notation. Round the first number to two decimal places. Try these two on paper!
Next slides provides you with the answers. Then compare.

Slide 23 - Slide

Recap: Standard notation
Write these numbers in standard notation. Round the first number to two decimal places. These tiny numbers are there to help you counting!

Slide 24 - Slide

Recap: Standard notation
Write these numbers in normal notation.

Slide 25 - Slide

Recap: Standard notation
Write these numbers in normal notation.

Slide 26 - Slide

Homework time
Make, Correct and Hand in :
§7.6, CHOOSE ONLY 3 of THEM!!   That's enough.
Of course I advise you to do 48, which is based on a legend about the invention of the CHESS game!

Slide 27 - Slide

Slide 28 - Slide