1 standards 1.3, 1.6 problem 1 problems 3 problem 2 percent of increase or decrease problem 4...
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1
STANDARDS 1.3, 1.6
Problem 1
Problems 3
Problem 2
PERCENT OF INCREASE OR DECREASE
Problem 4
Problems 6
Problem 5
Problems 7END SHOW
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2
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.
GRADE 7: Number Sense
1.6 Calculate the percentage of increase and decrease of a quantity.
1.6 Calcular el porcentaje de incremento y decremento de una cantidad.
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3
% of CHANGE = CHANGE
ORIGINAL
NEW PRICE=$.60
What is the percent of change between the original price and the new?
ORIGINAL PRICE=$.40
Original Price is $.40 and New Price is $.60. Find the percent of increase or decrease:
STANDARDS 1.3, 1.6PRESENTATION CREATED BY SIMON PEREZ. All rights reserved
4
% of CHANGE = CHANGE
ORIGINAL
=$.20
% of CHANGE= .60 –.40
.40
= .20
.40
.20.40 05
20-00
(100%)
= .5
(.5)
Now convert it to PERCENT:
= 50 %
What is the ratio that compares the change in price with the original price?
So, the price was INCREASED 50%
$.40
ORIGINAL PRICE
$.60 – $.40
CHANGE IN PRICE
Original Price is $.40 and New Price is $.60. Find the percent of increase or decrease:
STANDARDS 1.3, 1.6PRESENTATION CREATED BY SIMON PEREZ. All rights reserved
5
% of CHANGE = CHANGE
ORIGINAL
NEW PRICE=$.22
What is the percent of change between the original price and the new?
ORIGINAL PRICE=$.66
Original Price is $.66 and New Price is $.22. Find the percent of increase or decrease:
STANDARDS 1.3, 1.6PRESENTATION CREATED BY SIMON PEREZ. All rights reserved
6
% of CHANGE = CHANGE
ORIGINAL
= -.44
% of CHANGE= .22 –.66 .66
= -.44 .66
.44.66 06
396-44 0
6
39-44
(100%)
=0.6644
6600
-0.662
300
Now convert it to PERCENT:
= -0.6644
6600
%= -6623
or
What is the ratio that compares the change in price with the original price?
So, the price was DECREASED approximately 66.7%
$.22 – $.66
CHANGE IN PRICE
-66.7%
6
....
2222 = -0.66
2300
Original Price is $.66 and New Price is $.22. Find the percent of increase or decrease:
STANDARDS 1.3, 1.6PRESENTATION CREATED BY SIMON PEREZ. All rights reserved
7
% of CHANGE = CHANGE
ORIGINAL
NEW PRICE=$.59
What is the percent of change between the original price and the new?
ORIGINAL PRICE=$.39
Original Price is $.39 and New Price is $.59. Find the percent of increase or decrease:
STANDARDS 1.3, 1.6PRESENTATION CREATED BY SIMON PEREZ. All rights reserved
8
% of CHANGE = CHANGE
ORIGINAL
=$.20
% of CHANGE= .59 –.39 .39
= .20
.39
.20.39 05
19 5-50
1
39-11
(100%)
=0.5111
3900
0.5111
3900
Now convert it to PERCENT:
=0.5111
3900
%= 511139
or
What is the ratio that compares the change in price with the original price?
So, the price was INCREASED approximately 51.3%
$.39
ORIGINAL PRICE
$.59 – $.39
CHANGE IN PRICE
51.3%
Original Price is $.39 and New Price is $.59. Find the percent of increase or decrease:
STANDARDS 1.3, 1.6PRESENTATION CREATED BY SIMON PEREZ. All rights reserved
9
% of CHANGE = CHANGE
ORIGINAL
NEW PRICE=$140
ORIGINAL PRICE=$120
Original Price is $120 and New Price is $140. Find the percent of increase or decrease:
Change in price = $140 – $120
= $20
% of CHANGE = 140 – 120
120
= 20
120
1 6 0 6-4
What is the ratio that compares the change in price with the original price?
....
22
16
=
036-4
=0.164
600
....
22
= 0.162
300
= 0.162
300
(100%) 0.162
300%= 16
23
or 16.7%
So, the price was INCREASED approximately 16.7%
16
Convert to percent:
STANDARDS 1.3, 1.6PRESENTATION CREATED BY SIMON PEREZ. All rights reserved
10
% of CHANGE = CHANGE
ORIGINAL
NEW NUMBER= 20
ORIGINAL NUMBER= 60
The number of deer in the zoo changed from 60 t0 20. What was the percent of change?
Change in number = 20– 60
= 40
% of CHANGE = 20 – 60
60
= - 40
60
2 3 018-2
What is the ratio that compares the change in deer before and after?
....
2020
2 3
= -
018-
2
=0.662
300
= -.662
300
(100%) -.662
300%= -66
23
or -66.7%
So, the number of deer was DECREASED approximately 66.7%
66
Convert to percent:
STANDARDS 1.3, 1.6PRESENTATION CREATED BY SIMON PEREZ. All rights reserved
11
% of CHANGE = CHANGE
ORIGINAL
NEW NUMBER= 200
ORIGINAL NUMBER= 80
The number of horses in a ranch changed from 80 to 200. What was the percent of change?
Change in number = 200– 80
= 120
% of CHANGE = 200 – 80
80
= 120
80
What is the ratio that compares the change in horses before and after?
32
=
So, the number of horses was INCREASED approximately 150%
STANDARDS 1.3, 1.6
....
4040
3 21
210
5
100
=1.5
(100%)(1.5)
Now convert to PERCENT:
= 150 %PRESENTATION CREATED BY SIMON PEREZ. All rights reserved
12
% of CHANGE = CHANGE
ORIGINAL
Juniors in 2004 = 450
Juniors in 1979 = 150
In a High School there were 150 juniors in 1979, now in 2004 there are 450. What was the percent of change?
Change in number = 450 – 150
= 300
% of CHANGE = 450 – 150
150
= 300
150
What is the ratio that compares the change in juniors from one year to the other?
21
=
So, the number of juniors was INCREASED 200%
STANDARDS 1.3, 1.6
....
150150
= 2
(100%)(2)
Now convert to PERCENT:
= 200 %PRESENTATION CREATED BY SIMON PEREZ. All rights reserved