Transcript 5th_MA_NS_1.2_COMMON_DECIMAL_PERCENT_DW

Name _______________________
Learning Objective
Today, we will show common decimal numbers as percents.
CFU
What are we going to do today?
Activate (or provide) Prior Knowledge
Read each amount.
1.
0 75 0
ones
2.
tenths
hundredths
thousandths
0 25 0
ones
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? [email protected]
tenths
hundredths
Seventy-five hundredths
thousandths
Twenty-five hundredths
CFU
Teacher reads problem #1. Students read problem #2.
Students, you already know that place value tells you the
value of decimal numbers. Today, we will use our
knowledge of the place value of decimal numbers to show
them as percents.
5th Grade Number Sense 1.2 (5Q)
Interpret percents as a part of a hundred; find decimal and percent
equivalents for common fractions and explain why they represent the same
value; compute a given percent of a whole number.
Lesson to be used by EDI-trained teachers only.
Concept Development
A percent (%) is a special way of writing fractions with a denominator of 100.
 The root word “cent” means hundred.
“Cent” in everyday words.
 Percent means “per hundred” or “out of 100.”
A century is 100 years.
Example:
There are 100 cents in a dollar.
There are 100 centimeters in a meter.
25
CFU On her birthday, Grandma
25%
100
=
Velma became a centenarian.
How old do you think she is?
“25
percent”
“25 per hundred”
=
How do you know?
100 years old
A decimal number represents a whole number and part of a whole number
separated by a decimal point .
 Numbers can be represented with decimal numbers, words, fractions, and percents.
 We often think about decimal numbers and percents in terms of parts of a dollar.
Example: Equivalent1 forms of a number.
1
Parts of a dollar
equal in value
Decimal
number
Read as words
Fraction
Percent
0.25
Twenty-five
hundredths
25
100
25%
0.05
Five
hundredths
5
100
5%
A. 30
10
B. 30
100
Which fraction represents the
same amount as seventy-five
hundredths?
A. 75
100
B. 100
75
Uncle John says he will pay you
90% of a dollar each time you
walk his dog. How much money
will you earn for walking the dog
one time?
$0.25 = 25 cents
A. $0.09
B. $0.90
C. $9.00
In your own words, what is a
percent? A percent is ________.
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? [email protected]
Which of the following fractions
means 30%? How do you know?
Click here to see how I make
equivalent forms of a number
5th Grade Number Sense 1.2 (5Q)
Interpret percents as a part of a hundred; find decimal and percent
equivalents for common fractions and explain why they represent the same
value; compute a given percent of a whole number.
Lesson to be used by EDI-trained teachers only.
Concept Demonstration
“Cent” in everyday words.
A century is 100 years.
There are 100 cents in a dollar.
There are 100 centimeters in a meter.
Click to go back to Concept Development.
0.25
ones
tenths hundredths
thousandths
25 %
100
00
1
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? [email protected]
5th Grade Number Sense 1.2 (5Q)
Interpret percents as a part of a hundred; find decimal and percent
equivalents for common fractions and explain why they represent the same
value; compute a given percent of a whole number.
Lesson to be used by EDI-trained teachers only.
Skill Development/Guided Practice
A percent (%) is a special way of writing fractions with a denominator of 100.
• The root word “cent” means hundred.
• Percent means “per hundred” or “out of 100.”
Show common decimal numbers as percents.
ones
tenths hundredths
Step #1: Read the question carefully.
Step #2: Change the decimal number into a fraction with a denominator of 100 as follows:
a. Place the decimal number in the place value chart.
b. If no number fills the hundredths spot, place a zero there.
c. Create a fraction with 100 in the denominator and parts per 100 in the numerator.
Step #3: Change the fraction into a percent.
Step #4: Interpret the percent. “____ is equivalent/equal to ____.”
0 25
35
= 35%
100
25

= 25%
100
thousandths
1. Which percent is equal to 0.35?
A. 350%
B. 3.5%
C. 35%
ones
tenths hundredths thousandths
D. 0.35%
0.35 is equal to 35%
2. Which percent is equal to 0.45?
A. 450%
B. 45%
C. 4.5%
ones
tenths hundredths thousandths
D. 0.45%
0.45 is equal to 45%
3. What percent is equivalent to 0.04?
4. What percent is equivalent to 0.06?
0
3 5
0 4 5
45
= 45%
100
4
6
0 0 6
0 0 4
= 6%
= 4%
100 0.06 is equivalent to 6%
100 0.04 is equivalent to 4%
5. Which percent is equal to 0.8?
6. Which percent is equal to 0.7? 70
80
A. 700%
A. 0.8%
=
80%
=
70%
B.
70%
B.
8% 0
8 0
0 7 0
100
100
C.
7%
C. 80%
ones
ones
tenths hundredths thousandths
ones
tenths hundredths thousandths
D. 800%
0.8 is equal to 80%
D.
tenths hundredths thousandths
0.7%
ones
tenths hundredths thousandths
0.7 is equal to 70%
CFU Why did I place the decimal number in the place value chart? How did I use the place value chart to create a fraction? Why did I
create a fraction with 100 in the denominator? How did I change the fraction to a percent? Why did you place the decimal number in the
place value chart? How did you use the place value chart to create a fraction? Why did you create a fraction with 100 in the
denominator? How did you change the fraction to a percent?
5th Grade Number Sense 1.2 (5Q)
DataWORKS Educational Research
Interpret percents as a part of a hundred; find decimal and percent
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? [email protected]
equivalents for common fractions and explain why they represent the same
value; compute a given percent of a whole number.
Lesson to be used by EDI-trained teachers only.
Skill Development/Guided Practice (continued)
A percent (%) is a special way of writing fractions with a denominator of 100.
• The root word “cent” means hundred.
• Percent means “per hundred” or “out of 100.”
Show common decimal numbers as percents.
ones
tenths hundredths
Step #1: Read the question carefully.
Step #2: Change the decimal number into a fraction with a denominator of 100 as follows:
a. Place the decimal number in the place value chart.
b. If no number fills the hundredths spot, place a zero there.
c. Create a fraction with 100 in the denominator and parts per 100 in the numerator.
Step #3: Change the fraction into a percent.
Step #4: Interpret the percent. “____ is equivalent/equal to ____.”
0 25
7. What percent is equal to 0.1?
0
ones
1 0
tenths hundredths thousandths
10
= 10%
100 0.1 is equal to 10%
25

= 25%
100
thousandths
8. What percent is equal to 0.5?
0
ones
5 0
tenths hundredths thousandths
50
= 50%
100
0.5 is equal to 50%
9. Which percent is equivalent to 0.625?
A. 625%
62.5
B. 62.5%
= 62.5%
C. 6.25% ones tenths hundredths thousandths 100
D. 0.625%
0.625 is equivalent to 62.5%
10. Which percent is equivalent to 0.375?
A. 375%
37.5
B. 0.375%
= 37.5%
C. 3.75% ones
tenths hundredths thousandths 100
D. 37.5%
0.375 is equivalent to 37.5%
11. What percent is equal to 0.125?
12. What percent is equal to 0.875?
0
6 2 5
12.5
0 1 2 5
= 12.5%
100 0.125 is equal to 12.5%
ones
tenths hundredths thousandths
0
3 7 5
87.5
0 8 7 5
= 87.5%
100 0.875 is equal to 87.5%
ones
tenths hundredths thousandths
CFU Why did I place the decimal number in the place value chart? How did I use the place value chart to create a fraction? Why did I
create a fraction with 100 in the denominator? How did I change the fraction to a percent? Why did you place the decimal number in the
place value chart? How did you use the place value chart to create a fraction? Why did you create a fraction with 100 in the
denominator? How did you change the fraction to a percent?
5th Grade Number Sense 1.2 (5Q)
DataWORKS Educational Research
Interpret percents as a part of a hundred; find decimal and percent
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? [email protected]
equivalents for common fractions and explain why they represent the same
value; compute a given percent of a whole number.
Lesson to be used by EDI-trained teachers only.
Importance
A percent (%) is a special way of writing fractions with a denominator of 100.
• The root word “cent” means hundred.
• Percent means “per hundred” or “out of 100.”
1. Showing common decimal numbers as percents helps us understand the percent probability2 of
an event occurring3.
2
3
how likely or unlikely it is that something will happen
happening
Michael was told the probability of having the spinner land on the
shaded region is 0.40. What percent probability is there that the
spinner will land in the shaded region?
There is a 40% chance the spinner will land in
the shaded region.
2. Showing common decimal numbers as percents will help you do well on tests.
Sample Test Question:
8.
What percent is equal to 0.835
A
83.5%
B
8.35%
C
0.835%
D
835%
CFU
Does anyone else have another reason why it is important to show common decimal numbers as percents? (pair-share) Why is it important
to show common decimal numbers as percents? You may give one of my reasons or one of your own. Which reason is more important to
you? Why?
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? [email protected]
5th Grade Number Sense 1.2 (5Q)
Interpret percents as a part of a hundred; find decimal and percent
equivalents for common fractions and explain why they represent the same
value; compute a given percent of a whole number.
Lesson to be used by EDI-trained teachers only.
Closure
A percent (%) is a special way of writing fractions with a denominator of 100.
• The root word “cent” means hundred.
• Percent means “per hundred” or “out of 100.”
1. Show common decimal numbers as percents below.
2. In your own words, what is a percent?
Step #1: Read the question carefully.
Step #2: Change the decimal number into a fraction with a denominator of 100 as follows:
a. Place the decimal number in the place value chart.
b. If no number fills the hundredths spot, place a zero there.
c. Create a fraction with 100 in the denominator and parts per 100 in the numerator.
Step #3: Change the fraction into a percent.
Step #4: Interpret the percent. “____ is equivalent/equal to ____.”
1. Which percent is equal to 0.65?
A. 65%
B. 650%
C. 6.5%
ones
tenths hundredths thousandths
D. 0.65%
0
6 5
65
= 65%
100
0.65 is equal to 65%
2. What percent is equivalent to 0.08?
0
ones
0 8
tenths hundredths thousandths
8
= 8%
100
0.08 is equivalent to 8%
What did you learn today about showing common decimal numbers as percents?
Day 1 ___________________________________________________________________________________________________
________________________________________________________________________________________________________
Day 2 ___________________________________________________________________________________________________
________________________________________________________________________________________________________
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? [email protected]
5th Grade Number Sense 1.2 (5Q)
Interpret percents as a part of a hundred; find decimal and percent
equivalents for common fractions and explain why they represent the same
value; compute a given percent of a whole number.
Lesson to be used by EDI-trained teachers only.
Independent Practice
Name ____________________
A percent (%) is a special way of writing fractions with a denominator of 100.
• The root word “cent” means hundred.
• Percent means “per hundred” or “out of 100.”
Show common decimal numbers as percents.
ones
tenths hundredths thousandths
Step #1: Read the question carefully.
Step #2: Change the decimal number into a fraction with a denominator of 100 as follows:
a. Place the decimal number in the place value chart.
b. If no number fills the hundredths spot, place a zero there.
c. Create a fraction with 100 in the denominator and parts per 100 in the numerator.
Step #3: Change the fraction into a percent.
Step #4: Interpret the percent. “____ is equivalent/equal to ____.”
0 25
1. Which percent is equal to 0.17?
A. 0.17%
B. 1.7%
C. 17%
ones
tenths hundredths thousandths
D. 170%
0
1 7
2. What percent is equivalent to 0.02?
17
= 17% 0 0 2
100
ones
0.17 is equal to 17%
3. Which percent is equal to 0.4?
A.
4%
B. 0.4%
C. 400%
ones
tenths hundredths thousandths
D. 40%
0
4 0
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? [email protected]
12.5%
0.125 is equal to 12.5%
2
= 2%
100
0.02 is equivalent to 2%
4. What percent is equivalent to 0.9?
ones
5. Which percent is equal to 0.125?
A. 125%
12.5
B. 0.125%
=
C. 12.5% ones tenths hundredths thousandths 100
D. 1.25%
1 2 5
tenths hundredths thousandths
40
= 40% 0 9 0
100
0.4 is equal to 40%
0
25

= 25%
100
tenths hundredths thousandths
90
= 90%
100
0.9 is equivalent to 90%
6. What percent is equivalent to 0.375?
0
ones
3 7 5
tenths hundredths thousandths
37.5
= 37.5%
100
0.375 is equivalent to 37.5%
5th Grade Number Sense 1.2 (5Q)
Interpret percents as a part of a hundred; find decimal and percent
equivalents for common fractions and explain why they represent the same
value; compute a given percent of a whole number.
Lesson to be used by EDI-trained teachers only.
Periodic Review 1
Name ____________________
A percent (%) is a special way of writing fractions with a denominator of 100.
• The root word “cent” means hundred.
• Percent means “per hundred” or “out of 100.”
Show common decimal numbers as percents.
ones
tenths hundredths thousandths
Step #1: Read the question carefully.
Step #2: Change the decimal number into a fraction with a denominator of 100 as follows:
a. Place the decimal number in the place value chart.
b. If no number fills the hundredths spot, place a zero there.
c. Create a fraction with 100 in the denominator and parts per 100 in the numerator.
Step #3: Change the fraction into a percent.
Step #4: Interpret the percent. “____ is equivalent/equal to ____.”
25

= 25%
100
0 25
1. Which percent is equal to 0.81?
A. 0.81%
B. 81%
C. 8.1%
ones
tenths hundredths thousandths
D. 810%
0
8 1
2. What percent is equivalent to 0.08?
81
8
= 81% 0 0 8
= 8%
100
100
ones
tenths hundredths thousandths
0.81 is equal to 81%
3. Which percent is equal to 0.2?
A. 200%
B. 20%
C.
2%
ones
tenths hundredths thousandths
D. 0.2%
0
2 0
0.08 is equivalent to 8%
4. What percent is equivalent to 0.3?
20
= 20% 0 3 0
100
ones
tenths hundredths thousandths
30
= 30%
100
0.2 is equal to 20%
5. Which percent is equal to 0.875?
87.5
A. 875%
=
B. 0.875%
100
C. 8.75% ones
tenths hundredths thousandths
D. 87.5%
0
8 7 5
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? [email protected]
0.3 is equivalent to 30%
6. What percent is equivalent to 0.625?
87.5%
0.875 is equal to 87.5%
0
ones
6 2 5 62.5 = 62.5%
tenths hundredths thousandths
100
0.625 is equivalent to 62.5%
5th Grade Number Sense 1.2 (5Q)
Interpret percents as a part of a hundred; find decimal and percent
equivalents for common fractions and explain why they represent the same
value; compute a given percent of a whole number.
Lesson to be used by EDI-trained teachers only.
Periodic Review 2
Name ____________________
A percent (%) is a special way of writing fractions with a denominator of 100.
• The root word “cent” means hundred.
• Percent means “per hundred” or “out of 100.”
Show common decimal numbers as percents.
ones
tenths hundredths thousandths
Step #1: Read the question carefully.
Step #2: Change the decimal number into a fraction with a denominator of 100 as follows:
a. Place the decimal number in the place value chart.
b. If no number fills the hundredths spot, place a zero there.
c. Create a fraction with 100 in the denominator and parts per 100 in the numerator.
Step #3: Change the fraction into a percent.
Step #4: Interpret the percent. “____ is equivalent/equal to ____.”
0 25
1. Which percent is equal to 0.42?
A. 420%
B. 42%
C. 4.2%
ones
tenths hundredths thousandths
D. 0.42%
0
4 2
2. What percent is equivalent to 0.01?
42
= 42% 0 0 1
100
ones
tenths hundredths thousandths
1
= 1%
100
0.42 is equal to 42%
3. Which percent is equal to 0.8?
A. 0.08%
B.
8%
C. 80%
ones
tenths hundredths thousandths
D. 800%
0
8 0
0.01 is equivalent to 1%
4. What percent is equivalent to 0.5?
80
= 80% 0 5 0
100
ones
tenths hundredths thousandths
50
= 50%
100
0.8 is equal to 80%
5. Which percent is equal to 0.375?
37.5
A. 375%
=
B. 37.5%
100
C. 3.75% ones
tenths hundredths thousandths
D. 0.375%
0
3 7 5
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? [email protected]
25

= 25%
100
0.5 is equivalent to 50%
6. What percent is equivalent to 0.125?
37.5%
0.375 is equal to 37.5%
0
ones
1 2 5 12.5 = 12.5%
tenths hundredths thousandths
100
0.125 is equivalent to 12.5%
5th Grade Number Sense 1.2 (5Q)
Interpret percents as a part of a hundred; find decimal and percent
equivalents for common fractions and explain why they represent the same
value; compute a given percent of a whole number.
Lesson to be used by EDI-trained teachers only.
Periodic Review 3
Name ____________________
A percent (%) is a special way of writing fractions with a denominator of 100.
• The root word “cent” means hundred.
• Percent means “per hundred” or “out of 100.”
Show common decimal numbers as percents.
ones
tenths hundredths thousandths
Step #1: Read the question carefully.
Step #2: Change the decimal number into a fraction with a denominator of 100 as follows:
a. Place the decimal number in the place value chart.
b. If no number fills the hundredths spot, place a zero there.
c. Create a fraction with 100 in the denominator and parts per 100 in the numerator.
Step #3: Change the fraction into a percent.
Step #4: Interpret the percent. “____ is equivalent/equal to ____.”
25

= 25%
100
0 25
1. Which percent is equal to 0.67?
A. 0.67%
B. 6.7%
C. 670%
ones
tenths hundredths thousandths
D. 67%
0
6 7
2. What percent is equivalent to 0.09?
67
= 67% 0 0 9
100
ones
tenths hundredths thousandths
9
= 9%
100
0.67 is equal to 67%
3. Which percent is equal to 0.6?
A. 60%
B.
6%
C. 0.6%
ones
tenths hundredths thousandths
D. 600%
0 6 0
0.09 is equivalent to 9%
4. What percent is equivalent to 0.1?
60
= 60% 0 1 0
100
ones
tenths hundredths thousandths
10
= 10%
100
0.6 is equal to 60%
5. Which percent is equal to 0.625?
62.5
A. 625%
=
B. 62.5%
100
C. 6.25% ones
tenths hundredths thousandths
D. 0.625%
0
6 2 5
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? [email protected]
0.1 is equivalent to 10%
6. What percent is equivalent to 0.875?
62.5%
0.625 is equal to 62.5%
0
ones
8 7 5 87.5 = 87.5%
tenths hundredths thousandths
100
0.875 is equivalent to 87.5%
5th Grade Number Sense 1.2 (5Q)
Interpret percents as a part of a hundred; find decimal and percent
equivalents for common fractions and explain why they represent the same
value; compute a given percent of a whole number.
Lesson to be used by EDI-trained teachers only.
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? [email protected]
Blank Page
5th Grade Number Sense 1.2 (5Q)
Interpret percents as a part of a hundred; find decimal and percent
equivalents for common fractions and explain why they represent the same
value; compute a given percent of a whole number.
Lesson to be used by EDI-trained teachers only.