6-1 Percents

Course 2

Warm UpWarm Up

Problem of the DayProblem of the Day

Lesson PresentationLesson Presentation

Warm UpWrite each fraction as a decimal.

Course 2

6-1 Percents

1. 34

38

2.

3. 4.

0.75 0.375

35

615

0.6 0.4

Problem of the DayAlex noted that 4 tulip bulbs bloomed out of every 5 bulbs that he planted. Write the part that bloomed of the total amount of bulbs planted as a fraction and a decimal.

Course 2

6-1 Percents

, 0.845

Learn to model percents and to write percents as equivalent fractions and decimals.

Course 2

6-1 Percents

Vocabulary

percent

Insert Lesson Title Here

Course 2

6-1 Percents

Course 2

6-1 Fractions, Decimals, and Percents

A percent is the ratio of a number to 100. The symbol % is used to indicate that a number is a percent.

= 6%6100

The word percent means “per hundred.” So 6% means “6 out of 100.”

Reading Math

Write the percent modeled by each grid.

A. B.

Additional Example 1: Modeling Percents

Course 2

6-1 Percents

shaded total

_______ 32100

___ = 32% shaded total

_______ 66100

___ = 66%

Write the percent modeled by each grid.

A. B.

Check It Out: Example 1

Course 2

6-1 Percents

shaded total

_______ 44100

___ = 44% shaded total

_______ 75100

___ = 75%

Write 28% as a fraction in simplest form.

Additional Example 2: Writing Percents as Fractions

Course 2

6-1 Percents

So 28% can be written as .

Write the percent as a fraction with a denominator of 100.

Simplify.

28% =28

100

725

=

725

Write 90% as a fraction in simplest form.

Check It Out: Example 2

Course 2

6-1 Percents

So 90% can be written as .

Write the percent as a fraction with a denominator of 100.

Simplify.

90% =90

100

910

=

910

Additional Example 3: Writing Percents as Decimals

Course 2

6-1 Percents

Write 17% as a decimal.

Method 1

Use pencil and paper.

17% = 17100

= 0.17

Write the percent as a fraction with a denominator of 100.

Divide 17 by 100.

Additional Example 3 Continued

Course 2

6-1 Percents

Write 17% as a decimal.

Method 2

Use mental math.

17% = 0.17 Move the decimal point two places to the left.

Check It Out: Example 3

Course 2

6-1 Percents

Write 24% as a decimal.

Method 1

Use pencil and paper.

24% = 24100

= 0.24

Write the percent as a fraction with a denominator of 100.

Divide 24 by 100.

Check It Out: Example 3 Continued

Course 2

6-1 Percents

Write 24% as a decimal.

Method 2

Use mental math.

24% = 0.24 Move the decimal point two places to the left.

Lesson Quiz

36%

Insert Lesson Title Here

Course 2

6-1 Percents

1. Write the percent modeled by the grid.

2. Write 92% as a fraction in simplest form. 2325

3. Write 16.4% as a decimal. 0.164