March 11, 2013
0.5
DECIMAL
Fractions,
Decimals,
and Percents
PERCENT
50%
FRACTION
1
2
In this lesson we will...
· Rename percents as fractions
· Rename fractions as percents
· Rename percents as decimals
· Rename decimals as percents
Lesson notes
March 11, 2013
What is "percent"?
Percent means "out of 100."
%
We can use the percent symbol (%) as a
handy way to write a fraction with a common
denominator of 100.
For example, instead of saying "8 out of
every 100 professional basketball players are
female," we can say "8% of professional
basketball players are female."
March 11, 2013
Change to a fraction
· Put the percent over 100
·
· Put the fraction in lowest terms.
·
· Example: 56%
March 11, 2013
Change to a decimal
· Divide top number by the bottom
number.
·
· Example: 5/8
March 11, 2013
Change to a percent
· Set up a proportion
· Percent is always over 100
· Example:
March 11, 2013
March 11, 2013
Write the fraction, decimal, and percent that is modeled.
1.
DECIMAL
PERCENT
FRACTION
March 11, 2013
Write the fraction, decimal, and percent that is modeled.
2.
DECIMAL
PERCENT
FRACTION
March 11, 2013
Write the fraction, decimal, and percent that is modeled.
3.
DECIMAL
PERCENT
FRACTION
March 11, 2013
Write the fraction, decimal, and percent that is modeled.
4.
DECIMAL
PERCENT
FRACTION
March 11, 2013
Write the fraction, decimal, and percent that is modeled.
5.
DECIMAL
PERCENT
FRACTION
March 11, 2013
Write the fraction, decimal, and percent that is modeled.
6.
DECIMAL
PERCENT
FRACTION
March 11, 2013
Write the fraction, decimal, and percent that is modeled.
7.
DECIMAL
PERCENT
FRACTION
March 11, 2013
Write the fraction, decimal, and percent that is modeled.
8.
DECIMAL
PERCENT
FRACTION
March 11, 2013
Write the fraction, decimal, and percent that is modeled.
9.
DECIMAL
PERCENT
FRACTION
March 11, 2013
Write the fraction, decimal, and percent that is modeled.
10.
DECIMAL
PERCENT
FRACTION
March 11, 2013
Write the fraction, decimal, and percent that is modeled.
11.
DECIMAL
PERCENT
FRACTION
March 11, 2013
Write the fraction, decimal, and percent that is modeled.
12.
DECIMAL
PERCENT
FRACTION
March 11, 2013
Rename these percents as fractions (in simplest form).
Drag the circles together to check.
25% =
1
4
60% =
3
5
175% =
3
4
120% =
1
1
1
5
March 11, 2013
Real-World Application
What fraction of the class preferred · spaghetti for the school lunch?
1
4
· pizza for the school lunch?
3
10
· chicken strips for the school lunch?
3
20
School Lunch
Choices
Lunch
Percen
t
pizza
30%
spaghetti
25%
hamburger
20%
chicken
strips
soup
15%
10%
March 11, 2013
March 11, 2013
March 11, 2013
March 11, 2013
March 11, 2013
March 11, 2013
March 11, 2013
Renaming fractions as percents...
To write a fraction as a percent, write a proportion and solve.
Write
9
as a percent.
20
The other is an unknown
compared to 100.
One ratio is the fraction.
9
20
Solve the
proportion
9
20
So,
=
x5
=
x5
n
100
45
100
45
9
=
= 45%
100
20
March 11, 2013
Rename these fractions as percents...
March 11, 2013
Real-World Application
The table shows what fraction of a vegetable garden contains
each kind of vegetable.
What percent of the garden contains other kinds of vegetables?
Plant
Fraction
Beans
Beans
Corn
1
5
20%
1
2
50%
Corn
Tomatoe
s
1
4
25%
Tomatoes
Other
?
5%
Other
March 11, 2013
Use your new skills to play the game!
http://pbskids.org/cyberchase/games/percent/
March 11, 2013
Renaming decimals as percents...
Write 0.38 as a percent
1
Write 38 hundredths as
a fraction
2
Write the fraction as
a percent
0.38 =
38
100
38
= 38%
100
Write 1.45 as a percent
1
Write 1 and 45 hundredths
as a mixed number
2
Write the mixed number
as an improper fraction
3
Write the fraction as
a percent
1.45 =
45
1 100
45 = 145
1 100 100
145
= 145%
100
March 11, 2013
Rename the decimals as percents...
Erase inside the
circle to check.
0.22 =
22%
0.5 =
50%
1.75 =
175%
March 11, 2013
Real-World Application
A batting average is the ratio of hits to at bats. Batting averages are
expressed as a decimal rounded to the nearest thousandth. The table
shows the top four batting averages for the Bullard Panther baseball
team last season. Express the batting averages as a percent.
Ryan
Batting Averages
Player
Average
Gerald
Ryan
0.350
35%
Gerald
0.330
33%
Alex
0.300
30%
Jeremy
0.250
25%
Click
Click here
here
for
for the
the
answer
answer
Click
Click here
here
for
for the
the
answer
answer
Alex
Click
Click here
here
for
for the
the
answer
answer
Click
Click here
here
for
for the
the
answer
answer
Jeremy
March 11, 2013
Renaming percents as decimals...
Write 56% as a decimal.
Rewrite the percent as a fraction
with a denominator of 100
56
56% = 100
Write fifty-six hundredths
as a decimal
= 0.56
Write 8% as a decimal.
Rewrite the percent as a fraction
with a denominator of 100
8% =
Write eight hundredths as a
decimal
8
100
= 0.08
Write 120% as a decimal.
Rewrite the percent as a fraction
with a denominator of 100
Write the improper fraction
as a mixed number
Write 1 and 20 hundredths
as a decimal
120% =
120
100
20
= 1 100
= 1.20 or 1.2
March 11, 2013
Rename the percents as decimals...
Drag the percent to the bottom of the white box to check your answers.
17% =
0.17
2% =
104% =
0.02
1.04
March 11, 2013
Select two tiles to reveal a decimal or percent.
If the two numbers revealed are the same color, they are
equivalent and remain revealed. If the two numbers
are not a match, click the tiles to hide them.
Continue until all pairs are revealed.
Can you find all six pairs before time runs out?
Decimals & Percents
1.2
0.88
0.25 0.4
88% 120%
25% 0.04
0.8
4%
40%
80%
March 11, 2013
March 11, 2013
Try your skills!
Click on the Fraction Pairs Game to start.
http://www.bbc.co.uk/skillswise/numbers/fractiondecimalpercentage/comparing/comparingall3/
flash0.shtml
March 11, 2013
Write the fraction, decimal, and percent that is modeled.
DECIMAL
PERCENT
FRACTION
Click here
for the
answer
March 11, 2013
Write the fraction, decimal, and percent that is modeled.
DECIMAL
PERCENT
FRACTION
Click here
for the
answer
March 11, 2013
Write the fraction, decimal, and percent that is modeled.
DECIMAL
PERCENT
FRACTION
Click here
for the
answer
March 11, 2013
Write the fraction, decimal, and percent that is modeled.
DECIMAL
PERCENT
FRACTION
Click here
for the
answer
March 11, 2013
Write the fraction, decimal, and percent that is modeled.
DECIMAL
PERCENT
FRACTION
Click here
for the
answer
March 11, 2013
0.5
DECIMAL
PERCENT
FRACTION
1
2
50%
March 11, 2013
0.1
DECIMAL
PERCENT
FRACTION
1
10
10%
March 11, 2013
0.25
DECIMAL
PERCENT
FRACTION
1
4
25%
March 11, 2013
0.2
DECIMAL
PERCENT
FRACTION
1
5
20%
March 11, 2013
0.75
DECIMAL
PERCENT
FRACTION
3
4
75%
March 11, 2013
How is the moon like a dollar?
They both
have
4 quarters.
Move
to reveal
Next
March 11, 2013
What is the difference between a new
penny and an old quarter?
Move to reveal
24 cents
Next
March 11, 2013
When things go wrong, what
can you always count on?
Movefingers!
to reveal
Your
Next
March 11, 2013
What did one math book say to the other math book?
Wow, have
I got
problems!
Move
to reveal
Next
March 11, 2013
It happens once in a minute, twice in a week, and once in a year.
What is it?
the
letter
'e'.
Move
to reveal
Next
March 11, 2013
March 11, 2013
Subject
Topic
Title
Grade(s)
Cross-curricular link(s)
Prior knowledge
Intended learning outcome(s)
Recommended usage
Mathematics
Percents
Fractions, Decimals, and Percents
Grades 6-8
General
Decimal place value, equivalent fractions
·
·
·
·
Rename percents as fractions
Rename fractions as percents
Rename percents as decimals
Rename decimals as percents
Main teaching focus or review
For use as a "main teaching" lesson, can be divided
into two sessions ( fraction-percent and decimal-percent)
How to use Notebook(TM) software
Learn helpful tips and tricks for developing and presenting lesson activities.
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March 11, 2013