Warm Up

1
Warm Up
Problem of the Day
Lesson Presentation
Lesson Quizzes
2
Warm Up Write each fraction in the simplest
form.
4 10
25
8 50
1.
2.
75 100
12 36
34
13
3.
4.
18 48
35
38
5.
6.
3
Problem of the Day Use the clues to find the
mystery percent.
1. The product of its digits is 24.
1 2
2. It is greater than .
3. The sum of its digits is a prime number.
83
4
Sunshine State Standards
Prep for MA.7.A.1.2 Solve percent problems,
including problems involving discounts, simple
interest, taxes, tips, and percents of increase
or decrease. Rev. MA.6.A.5.1 Rev. MA.6.A.5.2
5
The students at Westview Middle School are
collecting cans of food for the local food bank.
Their goal is to collect 2,000 cans in one month.
After 10 days, they have 800 cans of food. What
percent of their goal have they reached?
6
800
1,000
2,000
1,200
1,400
1,600
1,800
0
200
400
600
2 5
4 5
1 5
3 5
5 5
0
0.2
0.6
0.8
1.0
0
0.4
0
80
20
60
0
40
100
2 5
800 2000
The model shows that 800 out of 2,000 can be
written as , , 0.4, or 40. The
students have reached 40 of their goal.
7
Additional Example 1 Writing Decimals as Percents
Write 0.7 as a percent.
Method 1 Use pencil and paper.
Write the decimal as a fraction with a
denominator of 100.
0.7

Write the numerator with a percent sign.
70
8
Additional Example 1 Continued
Write 0.7 as a percent.
Method 2 Use mental math.
Move the decimal point two places to the right
and add a percent sign.
0.70
70
70
9
Check It Out Example 1
Write 0.3 as a percent.
Method 1 Use pencil and paper.
Write the decimal as a fraction with a
denominator of 100.
0.3

Write the numerator with a percent sign.
30
10
Check It Out Example 1 Continued
Write 0.3 as a percent.
Method 2 Use mental math.
Move the decimal point two places to the right
and add a percent sign.
0.30
30
30
11
Additional Example 2 Writing Fractions as
Decimals
5 8
Write as a percent.
Method 1 Use pencil and paper.
5 8
5 8
Use division to write the fraction as a decimal.
0.625
62.5
Write the decimal as a percent.
12
Additional Example 2 Continued
5 8
Write as a percent.
Method 2 Use mental math.
5 ? 12.5 8 ? 12.5
Write an equivalent fraction with a denominator
of 100.
62.5 100

Write the numerator with a percent sign.
62.5
13
Check It Out Example 2
3 5
Write as a percent.
Method 1 Use pencil and paper.
3 5
3 5
Use division to write the fraction as a decimal.
0.60
60
Write the decimal as a percent.
14
Check It Out Example 2 Continued
3 5
Write as a percent.
Method 2 Use mental math.
3 20 5 20
Write an equivalent fraction with a denominator
of 100.
60 100

Write the numerator with a percent sign.
60
15
Additional Example 3 Ordering Rational Numbers
4 5
3 4
Order 17, 0.25, , 0.1, , and 20 from
least to greatest.
Step 1 Write the numbers as decimals with the
same number of decimal places.
17 0.17
0.25 0.25
0.1 0.10
20 0.20
16
Additional Example 3 Continued
4 5
3 4
Order 17, 0.25, , 0.1, , and 20 from
least to greatest.
Step 2 Graph the numbers on the number line.
0.00 0.10 0.20 0.30 0.40 0.50 0.60
0.70 0.80 0.90 1.00 1.10 1.20
Step 3 Compare the decimals.
0.10 lt 0.17 lt 0.20 lt 0.25 lt 0.75 lt 0.80
17
Check It Out Example 3
3 4
1 2
Order 12, 0.20, , 0.8, , and 40 from
least to greatest.
Step 1 Write the numbers as decimals with the
same number of decimal places.
12 0.20
0.20 0.20
0.8 0.80
40 0.40
18
Check It Out Example 3 Continued
3 4
1 2
Order 12, 0.20, , 0.8, , and 40 from
least to greatest.
Step 2 Graph the numbers on the number line.
0.00 0.10 0.20 0.30 0.40 0.50 0.60
0.70 0.80 0.90 1.00 1.10 1.20
Step 3 Compare the decimals.
0.12 lt 0.20 lt 0.40 lt 0.50 lt 0.75 lt 0.80
19
Additional Example 4 Choosing a Method of
Computation
Decide whether using pencil and paper, mental
math, or a calculator is most useful when solving
the following problem. Then solve.
If 27 out of 50 people have the newspaper
delivered to their home, what percent of these
people have the newspaper delivered to their home?
Think 27 50 divides evenly.
27 out of 50
Using pencil and paper is the best method.
0.54
Write the decimal as a percent.
54
54 of the people have the newspaper delivered to
their home.
20
Check It Out Example 4
Decide whether using pencil and paper, mental
math, or a calculator is most useful when solving
the following problem. Then solve.
If 10 out of 50 students have blue backpacks,
what percent of the students have blue backpacks?
Think The denominator is a multiple of 100.
10 out of 50
Mental math or pencil and paper is the best
method.
0.20
Write the decimal as a percent.
20
20 of the students have blue backpacks.
21
Lesson Quizzes
Standard Lesson Quiz
Lesson Quiz for Student Response Systems
22
Lesson Quiz Part I
1. Write 0.65 as a percent.
65
60
2. Write as a percent.
23
Lesson Quiz Part II
Decide whether using pencil and paper, mental
math, or a calculator is most useful when solving
the following problem. Then solve.
4. If 36 out of 80 people surveyed have been on
a boat, what percent of these people have been
on a boat?
Calculator 45
24
Lesson Quiz for Student Response Systems
1. Which of the following represents 0.52 as a
percent? A. 52 B. 26 C. 13 D. 4
25
Lesson Quiz for Student Response Systems
2. Which of the following represents 0.08 as a
percent? A. 80 B. 40 C. 28 D. 8
26
Lesson Quiz for Student Response Systems
7 10
3. Which of the following represents as a
percent? A. 7 B. 17 C. 70 D. 77
27
Lesson Quiz for Student Response Systems
2 5
4. Order 0.2, 14, 0.63, and in order from
least to greatest. A. 0.2, 14, , 0.63 C.
14, 0.2, , 0.63 B. 14, 0.2, 0.63, D. 0.63,
, 0.2, 14
2 5
2 5
2 5
2 5
28
Lesson Quiz for Student Response Systems
5. Choose the most useful method of computation
and then solve. If 45 out of 90 students
surveyed prefer Algebra to Geometry, what percent
of these students prefer Algebra? A. calculator
30 B. calculator 50 C. mental math 30 D.
mental math 50