Lesson Plan -- Percent
Chapter Resources
- Lesson 4-9 Percents
- Lesson 4-9 Percents Answers
- Lesson 4-10 Convert Percents, Fractions, and Decimals
- Lesson 4-10 Convert Percents, Fractions, and Decimals Answers
1
Name ———————————————————————
LESSON
4-9
California
Standards
Gr. 5 NS 1.2: Interpret
percents as 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.
Gr. 1/2 MR 1.2: Use
tools, such as
manipulatives or
sketches, to model
problems.
Date ————————————
Percents
Words to Remember
35
35% 5 }
Percent: A ratio whose denominator is 100
100
Represented by the symbol %
Getting Started In Lesson 2-21 you learned how to represent decimals
as fractions, and in Lesson 2-22 you learned how to represent a fraction as a
decimal. In this lesson you will use both of these skills to work with percents.
E@)584-
Writing Percents as Part of a Hundred in
Fraction Form
Write 45% as a fraction.
Solution
45
45% 5 }
Write the percent as a fraction
with a denominator of 100.
100
9
5}
20
9
ANSWER 45% is equivalent to }.
20
Don’t forget to simplify each fraction. A problem involving
fractions is never complete until the fraction is in simplest form.
T:A <0 1;
34
Write the percent as a fraction.
1.
80% 5 } 5
2.
65% 5 } 5
3.
25% 5 } 5
4.
10% 5 } 5
100
100
Math Intervention
Book 4 Ratios, Rates, Proportions, and Percents
100
100
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
Simplify the fraction.
Name ———————————————————————
E@)584-
Date ————————————
Writing Percents as Part of a Hundred in
Decimal Form
Write 30% as a decimal.
Solution
3FNFNCFS
Notice that dividing
by 100 is the same as
moving the decimal
point two places to
the left.
30% 5 .30
30
30% 5 }
Write the percent as a fraction.
100
5 0.30
Divide.
ANSWER 30% is equivalent to 0.30.
T:A <0 1;
Write the percent as a decimal.
5.
20% 5 } 5 0.
6.
45% 5 } 5 0.
7.
92% 5 } 5 0.
8.
13% 5 } 5 0.
100
100
E@)584-
100
100
Using a Model to Show a Percent
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
Draw a model to show 25%.
Solution
1
25% 5 }
;\MX Write the percent as a fraction.
4
;\MX Draw a shape and section it into
the same number of pieces as
the denominator.
;\MX Shade the same number of pieces
as the numerator.
T:A <0 1;
Draw models to show each percent.
9.
30%
10.
75%
11.
60%
12.
10%
Math Intervention
Book 4 Ratios, Rates, Proportions, and Percents
35
Name ———————————————————————
Date ————————————
Summarize
Writing Percents as Fractions
Write the percent as a fraction with a denominator of 100. Simplify
the fraction.
Writing Percents as Decimals
Move the decimal point two places to the left.
Using a Model to Show Percent
Write the percent as a decimal. Draw a shape and section it into the
same number of pieces as the denominator. Shade the same number
of pieces as the numerator.
Practice
Write the percent as a fraction.
1.
15%
2.
35%
3.
50%
4.
85%
5.
5%
6.
40%
7.
60%
8.
95%
9.
25%
10.
10%
11.
42%
12.
87%
13.
32%
14.
9%
15.
77%
16.
53%
21.
55%
17. Which figure represents 20%?
A.
B.
C.
D.
Draw a model to show the percent.
18.
25%
19.
70%
20.
Identify the percent shown.
22.
36
Math Intervention
Book 4 Ratios, Rates, Proportions, and Percents
23.
40%
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
Write the percent as a decimal.
Name ———————————————————————
Date ————————————
Write the percent as a decimal and as a fraction. Then shade the
diagram to represent the percent.
24. Carrie wants to plant tomatoes in 40% of her garden. The
diagram models her garden. Shade a part of the garden
that Carrie can plant with tomatoes.
______________________________________________________________
______________________________________________________________
25. Marcus wants to use 25% of a wood board
for a project. The diagram models the piece of
wood. Shade a part that represents the piece of
wood that Marcus needs.
_________________________________________________________________________________
_________________________________________________________________________________
26. Conrad pays more for a bin of scrap metal if the bin is
more than 70% full. The diagram models the bin. Shade
the part of the bin that represents 70% full.
______________________________________________________________
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
______________________________________________________________
27. Maura is painting a picture in 10% sections. The diagram models
the paint canvas. Shade a piece of the canvas that represents the
part she will paint today.
______________________________________________________________
______________________________________________________________
,1,A7=/ -<1<'
28. Shade the figure. What part of the figure represents 90%?
29. Fill in the missing words. To write a percent as a ____________
the number before the percent symbol goes in the ____________ of
the fraction and ____________ goes in the ____________.
Math Intervention
Book 4 Ratios, Rates, Proportions, and Percents
37
Answer Key
Lesson 4-9, pp. 34–37
Try this:
4
1. 80; }
​ 5 ​ 13
2. 65; }
​ 20 ​ 1
3. 25; }
​ 4 ​ 1
4. 10; }
​ 10 ​ 5. 20; 20
6. 45; 45
7. 92; 92
8. 13; 13
9. Sample answer:
10. Sample answer:
11. Sample answer:
12. Sample answer:
Practice:
3
1. }
​ 20 ​ 7
2. }
​ 20 ​ 1
3. }
​ 2 ​ 17
4. }
​ 20 ​ 1
5. }
​ 20 ​ 2
6. }
​ 5 ​ Answer Key
3
7. }
​ 5 ​ 19
8. ​ } ​ 20
9. 0.25
10. 0.10
11. 0.42
12. 0.87
13. 0.32
14. 0.09
15. 0.77
16. 0.53
17. B
18. Sample answer:
19. Sample answer:
20. Sample answer:
21. Sample answer:
22. 50%
23. 75%
2
24. 0.40, }
​ 5 ​; Sample answer:
Answer Key
1
25. 0.25, }
​ 4 ​; Sample answer:
7
26. 0.70, }
​ 10 ​; Sample answer:
1
27. 0.10, }
​ 10 ​; Sample answer:
28. Sample answer:
29. fraction; numerator; 100; denominator
Name ———————————————————————
4-10
California
Standards
Gr. 5 NS 1.2: Interpret
percents as 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.
Gr. 7 NS 1.3: Convert
fractions to decimals
and percents and use
these representations
in estimations,
computations, and
applications.
+WV^MZ\8MZKMV\[.ZIK\QWV[
IVL,MKQUIT[
Getting Started In Lesson 4-9 you learned how to turn a percent into a
fraction and a decimal. In this lesson you will use these skills to go the other
direction and take fractions and decimals and turn them into percents.
Decimals and Percents To write a decimal as a percent, you can
multiply by 100. Note that multiplying by 100 is the same as moving the
decimal point two places to the right. Add a zero to the right if necessary
to move the decimal two places to the right.
E@)584-
Writing Decimals as Percents
Write the decimal as a percent.
a.
0.27
b.
0.39
Solution
a.
b.
Multiply by 100.
0.27 5 (0.27 3 100)%
5 27%
Move the decimal point.
0.39 5 39%
Multiply by 100.
Simplify.
Move the decimal point
2 places to the right.
E@)584-
Writing Fractions as Percents
Write the fraction as a percent.
13
a. }
20
Solution
13 13 3 5
65
a. } 5 } 5 }
20 20 3 5 100
5 65%
"OPUIFS.FUIPE
Another way to
write a fraction as a
percent is to convert
the fraction to a
decimal, and then
convert the decimal
to a percent.
38
7
32
b. }
Multiply numerator and denominator by 5.
Write as a percent.
13
ANSWER } 5 65%
20
7
32
b. } 5 0.21875
Write fraction as a decimal.
5 0.21875
Move the decimal point 2 places to the right.
5 21.875%
Write decimal as a percent.
7
ANSWER } 5 21.875%
32
Math Intervention
Book 4 Ratios, Rates, Proportions, and Percents
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
LESSON
Date ————————————
Name ———————————————————————
Date ————————————
T:A <0 1;
Write the decimal as a percent.
1.
0.13 5
%
2.
0.91 5
%
3.
0.57 5
%
4.
0.08 5
%
Write the fraction as a percent.
2
5
5. } 5
9
10
6. } 5
%
5
16
7. } 5
7
8
8. } 5
%
E@)584-
%
%
Determining if Two Values are Equivalent
17
Is 68% equivalent to }?
20
Solution
17
20
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
You can also convert
the percent or
decimal to a fraction
and compare the two
results.
?
68
100
}5}
"OPUIFS.FUIPE
Write a proportion with the given fraction and the
percent fraction.
?
17 + 100 5 20 + 68
1700 Þ 1360
Write cross products.
Multiply and compare.
17
ANSWER The cross products are not equal, so 68% is not equivalent to }.
20
T:A <0 1;
Fill in the missing information to determine if
the values are equivalent.
1
3
9. } and 30%
10.
11
22% and }
50
?
?
} 5 }
+
?
5
} 5 }
+
+
?
5
+
Math Intervention
Book 4 Ratios, Rates, Proportions, and Percents
39
Name ———————————————————————
Date ————————————
Summarize
Writing Decimals as Percents
To write a decimal as a percent, move the decimal point 2 places to
the right.
Writing Fractions as Percents
Multiply the numerator and denominator by the same factor to
p
rewrite the fraction in the form } . If the denominator is not a
100
factor of 100, write the fraction as a decimal, and then write the
decimal as a percent.
Determining if Two Values are Equivalent
Write a proportion with the given fraction and the percent fraction.
Then compare cross products. An alternative method is to write the
percent as a fraction and compare the results.
8ZIK\QKM
1.
0.67
2.
0.3
3.
0.19
4.
0.26
5.
0.55
6.
0.71
7.
0.33
8.
0.49
Write the fraction as a percent.
4
5
10. }
5
6
14. }
9. }
13. }
3
10
12. }
7
15
16. }
80%
20.
1
4
11. }
47
55
15. }
57
100
12
33
Match the percent with the correct fraction.
17.
60%
4
5
A. }
18.
25%
3
5
B. }
19.
3
4
C. }
75%
1
4
D. }
Match the percent with the correct decimal.
21.
A.
40
12%
0.5
22.
36%
23.
50%
24.
42%
B.
0.36
C.
0.42
D.
0.12
Math Intervention
Book 4 Ratios, Rates, Proportions, and Percents
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
Write the decimal as a percent.
Name ———————————————————————
Date ————————————
Solve the problem by determining whether the values are
equivalent or not. Explain your answer.
18
20
18
20
25. Ryan scored 87% on his last quiz. Abby received }.
Who received the better grade on the quiz?
How do you know?
__________________________________________________
__________________________________________________
__________________________________________________
67
100
his book. Who has read more of his book?
26. Theo read } of a book. Adam read 70% of
How do you know?
_________________________________________________________________________________
_________________________________________________________________________________
_________________________________________________________________________________
3
5
lunch. Who ate more pizza? How do you know?
27. Beatrice ate } of a pizza for lunch. Noah ate 55% of his pizza for
_________________________________________________________________________________
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
_________________________________________________________________________________
_________________________________________________________________________________
,1,A7=/ -<1<'
28. Fill in the missing words. To determine the percent
represented by a fraction, ____________ the numerator by
the ____________. Then move the decimal in the result two
places to the ____________.
29. Write the equivalent percent.
1.
% is equivalent to }
5
30. Compare the values. Jordan ran 96% of a race at her fastest pace.
4 of the same race at her fastest pace. Who ran her fastest
Kelly ran }
5
pace the longest? How do you know?
__________________________________________________________________________
__________________________________________________________________________
Math Intervention
Book 4 Ratios, Rates, Proportions, and Percents
41
Answer Key
Lesson 4-10, pp. 38–41
Try this:
1. 13
2. 91
3. 57
4. 8
5. 40
6. 90
7. 31.25
8. 87.5
30
1
9. Sample answer: ​ } ​ 0 }
​ 100 ​; 1 • 100 0 3 • 30; 100 ≠ 90
3
22
11
10. Sample answer: }
​ 100 ​ 0 } ​ ​; 22 • 50 0 11 • 100; 1100 5 1100
50
Practice:
1. 67%
2. 30%
3. 19%
4. 26%
5. 55%
6. 71%
7. 33%
8. 49%
9. 80%
10. 25%
11. 30%
12. 57%
13. 83.3%
14. 85. 45%
15. 46.6%
Answer Key
16. 36.36%
17. B
18. D
19. A
20. C
21. D
22. B
23. A
24. C
18
25. Abby; Sample answer: ​ } ​ 5 0.90 5 90%. 90% is greater than 87%.
20
67
26. Adam; Sample answer: ​ } ​ 5 67%. This is less than 70%.
100
3
27. Beatrice; Sample answer: ​ } ​ 5 60%. This is greater than 55%.
5
28. divide; denominator; right
29. 20
4
30. Jordan; Sample answer: Kelly ran }
​ 5 ​, or 80%, of the race at her fastest pace.
Since 80 , 96, Jordan ran her fastest pace for more of the race.