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1-4 Formulas, exponential growth and percentages (p. 16)
1-4 Formulas, exponential growth
and percentages (p. 16)
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Slide 1:
Tekstslide
Natuurkunde
Middelbare school
havo
Leerjaar 3
In deze les zitten
21 slides
, met
interactieve quizzen
en
tekstslides
.
Lesduur is:
50 min
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1-4 Formulas, exponential growth
and percentages (p. 16)
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- VPN off
Stationary
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writing book
- Pen, pencil
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- iPad
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Phones
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Slide 1 - Tekstslide
Determine the factor when there is exponential growth.
Determine the formula if you have the table for exponential growth between two variables.
Use percentages to calculate growth over more than one time interval.
Explain when there is a percentage increase,and when there is a percentage decrease.
Slide 2 - Tekstslide
Percentages
Exponential growth can be expressed in percentages.
In this case, the number increases or decreases by the same percentage for each unit of time.
You multiply by the same
factor each time.
Slide 3 - Tekstslide
26 a to e
timer
3:00
Slide 4 - Tekstslide
26a
A
T
=
7
5
0
⋅
1
,
1
5
t
B
T
=
7
5
0
⋅
0
,
8
5
t
C
T
=
1
,
1
5
⋅
7
5
0
t
D
T
=
0
,
8
5
⋅
7
5
0
t
Slide 5 - Quizvraag
26b
A
F
=
2
4
0
0
0
⋅
1
,
4
5
t
B
F
=
2
4
0
0
0
⋅
5
,
5
t
C
F
=
2
4
0
0
0
⋅
1
,
0
4
5
t
D
F
=
2
4
0
0
0
⋅
0
,
9
4
5
t
Slide 6 - Quizvraag
26c
A
R
=
3
0
2
5
⋅
0
,
9
0
5
t
B
R
=
3
0
2
5
⋅
1
,
0
9
5
t
C
R
=
3
0
2
5
⋅
0
,
5
t
D
R
=
3
0
2
5
⋅
0
,
9
5
t
Slide 7 - Quizvraag
26d
A
B
=
1
0
0
0
0
0
0
⋅
0
,
2
t
B
B
=
1
0
0
0
0
0
0
⋅
2
t
C
B
=
1
0
0
0
0
0
0
⋅
0
,
0
2
t
D
B
=
1
0
0
0
0
0
0
⋅
0
,
9
8
t
Slide 8 - Quizvraag
26e
A
D
=
2
5
0
0
⋅
1
,
5
t
B
D
=
2
5
0
0
⋅
2
,
5
t
C
D
=
2
5
0
0
⋅
0
,
5
t
D
D
=
2
5
0
0
⋅
1
,
1
5
t
Slide 9 - Quizvraag
KBUTXK
Slide 10 - Tekstslide
Increase or decrease?
You can use the growth factor to calculate the percentage by which a number increases or decreases per unit of time.
A growth factor g larger than 1 corresponds to a
percentage increase
.
A growth factor g between
0 and 1 corresponds to a
percentage decrease.
Slide 11 - Tekstslide
29 a to d
timer
3:00
Slide 12 - Tekstslide
29a
A
increase 29%
B
decrease 29%
C
increase 71%
D
decrease 71%
Slide 13 - Quizvraag
29b
A
increase 20%
B
decrease 20%
C
increase 80%
D
decrease 80%
Slide 14 - Quizvraag
29c
A
decrease 95%
B
increase 95%
C
decrease 5%
D
increase 5%
Slide 15 - Quizvraag
29d
A
Increase 9%
B
decrease 9%
C
increase 109%
D
decrease 109%
Slide 16 - Quizvraag
Slide 17 - Tekstslide
30 a to c (not mcq)
timer
3:00
Slide 18 - Tekstslide
Slide 19 - Tekstslide
Conclusion:
Exponential growth can be expressed in percentages.
Increase = (100 + %) / 100
Decrease = (100 - %) / 100
Percentage increase - g is larger than 1
Percentage decrease - g is between 0 and 1
Slide 20 - Tekstslide
Try on your own
1, 2, 5 and 7
TRY ON YOUR OWN
23, 24, 25, 27, 28 (p. 16)
RULES:
In your writingbook
Use: Textbook
Discussion when you are stuck is allowed
timer
13:00
Extra excercise: B7, B8
(p. 27)
Challenge: C4
(p. 30)
Slide 21 - Tekstslide
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