Transcript STANDARDS 1.3, 1.6 PERCENT OF INCREASE OR DECREASE Problem 1 Problem 2 Problems 3 Problem 4 Problem 5 Problems 6 Problems 7 END SHOWPRESENTATION CREATED BY SIMON PEREZ.

STANDARDS 1.3, 1.6
PERCENT OF INCREASE OR DECREASE
Problem 1
Problem 2
Problems 3
Problem 4
Problem 5
Problems 6
Problems 7
END SHOW
1
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GRADE 7: Number Sense
1.3 Convert fractions to decimals and
percents and use these representations in
estimations, computations and applications.
1.3 Convertir fracciones a decimales y
porcentajes y usar estas representaciones en
estimaciones, cálculos y aplicaciones.
1.6 Calculate the percentage of increase and
decrease of a quantity.
1.6 Calcular el porcentaje de incremento y
decremento de una cantidad.
2
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Original Price is $.40 and New Price is $.60. Find the percent of increase or decrease:
CHANGE
% of CHANGE =
ORIGINAL
ORIGINAL PRICE=$.40
NEW PRICE=$.60
What is the percent of change between the original price and the new?
3
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STANDARDS 1.3, 1.6
Original Price is $.40 and New Price is $.60. Find the percent of increase or decrease:
% of CHANGE =
CHANGE
ORIGINAL
What is the ratio that compares
the change in price with the
original price?
% of CHANGE=
=
.60 –.40
.40
.20
.40
= .5
5
.40 .20 0
-20 0
0
Now convert it to PERCENT:
ORIGINAL
PRICE
$.40
CHANGE
IN PRICE
(.5)(100%) = 50 %
$.60 – $.40 =$.20
So, the price was INCREASED 50%
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4
STANDARDS 1.3, 1.6
Original Price is $.66 and New Price is $.22. Find the percent of increase or decrease:
CHANGE
% of CHANGE =
ORIGINAL
ORIGINAL PRICE=$.66
NEW PRICE=$.22
What is the percent of change between the original price and the new?
5
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STANDARDS 1.3, 1.6
Original Price is $.66 and New Price is $.22. Find the percent of increase or decrease:
% of CHANGE =
CHANGE
66
.66 .44 0
- 396 =0.66 44
6600
44 0
- 396
44
ORIGINAL
What is the ratio that compares
the change in price with the
original price?
% of CHANGE=
=
.22 –.66
.66
-.44
.66
44
= -0.66
6600
.
. 22
2
. 22 = -0.66
300
.
Now convert it to PERCENT:
CHANGE
IN PRICE
$.22 – $.66 = -.44
2
2
(100%)
=
-66
%
-0.66 300
3
So, the price was DECREASED approximately 66.7%
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or
-66.7%
6
STANDARDS 1.3, 1.6
Original Price is $.39 and New Price is $.59. Find the percent of increase or decrease:
CHANGE
% of CHANGE =
ORIGINAL
ORIGINAL PRICE=$.39
NEW PRICE=$.59
What is the percent of change between the original price and the new?
7
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STANDARDS 1.3, 1.6
Original Price is $.39 and New Price is $.59. Find the percent of increase or decrease:
% of CHANGE =
CHANGE
ORIGINAL
What is the ratio that compares
the change in price with the
original price?
% of CHANGE=
=
.59 –.39
.39
.20
.39
=0.51
11
3900
51
.39 .20 0
11
- 19 5
=0.51
3900
50
- 39
11
Now convert it to PERCENT:
ORIGINAL
PRICE
$.39
CHANGE
IN PRICE
0.51
$.59 – $.39 =$.20
So, the price was INCREASED approximately 51.3%
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11
11
(100%) = 51 %
3900
39
or
51.3%
8
STANDARDS 1.3, 1.6
Original Price is $120 and New Price is $140. Find the percent of increase or decrease:
CHANGE
% of CHANGE =
ORIGINAL
ORIGINAL PRICE=$120
NEW PRICE=$140
Change in price = $140 – $120
= $20
What is the ratio that compares the
change in price with the original price?
140 – 120
120
20 .. 2
=
.
120 . 2
% of CHANGE =
1
6
2
= 0.16
=
Convert to percent:
300
6
16
10
4
=0.16
- 6
600
40
- 36
4
.
2
. 2
. 2 = 0.16 300
.
So, the price was INCREASED approximately 16.7%
2
2
(100%)
16.7%
=
16
% or
0.16 300
3
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9
STANDARDS 1.3, 1.6
The number of deer in the zoo changed from 60 t0 20. What was the percent of
change?
CHANGE
% of CHANGE =
ORIGINAL
ORIGINAL NUMBER= 60
NEW NUMBER= 20
Change in number = 20 – 60
= 40
What is the ratio that compares the
change in deer before and after?
20 – 60
60
- 40 .. 20
=
.
60 . 20
2
=3
% of CHANGE =
= -.66
Convert to percent:
2
300
66
3 20
- 18
20
-18
2
=0.66
2
300
So, the number of deer was
DECREASED approximately 66.7%
2
2
(100%)
-66.7%
=
-66
% or
-.66 300
3
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10
STANDARDS 1.3, 1.6
The number of horses in a ranch changed from 80 to 200. What was the
percent of change?
CHANGE
% of CHANGE =
ORIGINAL
ORIGINAL NUMBER= 80
NEW NUMBER= 200
Change in number = 200 – 80
= 120
What is the ratio that compares the
change in horses before and after?
200 – 80
80
120 .. 40
=
.
80 . 40
3
=
2
=1.5
% of CHANGE =
Now convert to PERCENT:
15
2 3
2
10
10
0
So, the number of horses was
INCREASED approximately 150%
(1.5) (100%) = 150 %
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11
STANDARDS 1.3, 1.6
In a High School there were 150 juniors in 1979, now in 2004 there are
450. What was the percent of change?
CHANGE
% of CHANGE =
ORIGINAL
Juniors in 1979 = 150
Juniors in 2004 = 450
Change in number = 450 – 150
= 300
What is the ratio that compares the
change in juniors from one year to the
other?
450 – 150
150
300 .. 150
=
.
150 . 150
2
=
1
=2
% of CHANGE =
Now convert to PERCENT:
So, the number of juniors was
INCREASED 200%
(2) (100%) = 200 %
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12
STANDARDS 1.3, 1.6