january 25, 2012 learn to write decimals and fractions as a percent eq: can you find the two methods...

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January 25, 2012 Learn to write decimals and fractions as a percent EQ: Can you find the two methods you use to write ¾ as a percent! Homework pg. 335 #12-26 http://new.schoolnotes.com/ Course 2 6-2 Fractions, Decimals, and Percents

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January 25, 2012Learn to write decimals and fractions as a percent

EQ: Can you find the two methods you

use to write ¾ as a percent!

Homework pg. 335 #12-26

http://new.schoolnotes.com/Course 2

6-2 Fractions, Decimals, and Percents

6-2 Fractions, Decimals, and Percents

Course 2

Warm UpWarm Up

Problem of the DayProblem of the Day

Lesson PresentationLesson Presentation

Write each fraction in the simplest form

Course 2

6-2 Fractions, Decimals, and Percents

1. 410

850

2.

3. 75100

4. 1236

5. 6. 1848

25

34

13

35

38

425

915

Warm-up page 327 #13-20

Course 2

6-2 Fractions, Decimals, and PercentsGrade HW

Vocabulary –a.decimalb.fractionc. percent

d.ratioe.simplest form

Power Point Lesson 6:2 KIN Page 145-146

Course 2

6-2 Fractions, Decimals, and Percents

0 200 400 600 800 1,000 1,200 1,400 1,600 1,800 2,000

0 15

25

35

45

55

00 0.2 0.4 0.6 0.8 1.0

0 20% 40% 60% 80% 100%

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.

8002000

25

Write 0.7 as a percent.

Additional Example 1: Writing Decimals as Percents

Course 2

6-2 Fractions, Decimals, and Percents

Method 1: Use pencil and paper.

0.7 = 70100

= 70%

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

Write the numerator with a percent sign.

710

=

Write 0.7 as a percent.

Additional Example 1 Continued

Course 2

6-2 Fractions, Decimals, and Percents

Method 2: Use mental math.

0.70 =

= 70%

Move the decimal point two places to the right and add a percent sign.

70%

Write 0.3 as a percent.

Check It Out: Example 1

Course 2

6-2 Fractions, Decimals, and Percents

Method 1: Use pencil and paper.

0.3 = 30100

= 30%

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

Write the numerator with a percent sign.

310

=

Write 0.9 as a percent.

Check It Out: Example 1 Continued

Course 2

6-2 Fractions, Decimals, and Percents

Method 2: Use mental math.

0.90 =

= 90%

Move the decimal point two places to the right and add a percent sign.

90%

Course 2

6-2 Fractions, Decimals, and Percents

Write as a percent.58

58

= 5 ÷ 8

= .625

= 62.5%

Use division to write the fraction as a decimal.

Write the decimal as a percent.

Additional Example 2: Writing Fractions as Decimals

Method 1: Use pencil and paper.

To divide 5 by 8, use long division and place a decimal point followed by a zero after the 5.

8 5.00

Remember!

.625

Course 2

6-2 Fractions, Decimals, and Percents

5 ● 12.5 8 ● 12.5

Write an equivalent fraction with a denominator of 100.

=

Write as a percent.58

Additional Example 2 Continued

Method 2: Use mental math.

62.5 100

Write the numerator with a percent sign.= 62.5%

Course 2

6-2 Fractions, Decimals, and Percents

Write as a percent.35

35

= 3 ÷ 5

= 0.60

= 60%

Use division to write the fraction as a decimal.

Write the decimal as a percent.

Check It Out: Example 2

Method 1: Use pencil and paper.

Course 2

6-2 Fractions, Decimals, and Percents

3 • 20 5 • 20

Write an equivalent fraction with a denominator of 100.

=

Write as a percent.35

Check It Out: Example 2 Continued

Method 2: Use mental math.

60 100

Write the numerator with a percent sign.= 60%

Course 2

6-2 Fractions, Decimals, and Percents

Choose the most useful method of computation. Then solve.

27 out of 50 =

Using pencil and paper is the best method.

Think: 27 ÷ 50 divides evenly.

Write the decimal as a percent.

Additional Example 3: Choosing a Method of Computation

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?

2750

= 0.54

= 54%

54% of the people have the newspaper delivered to their home.

Course 2

6-2 Fractions, Decimals, and Percents

Choose a useful method of computation. Then solve.

10 out of 50 =

Mental math or pencil and paper is the best method.

Think: The denominator is a multiple of 100.

Write the decimal as a percent.

Check It Out: Example 3

If 10 out of 50 students have blue backpacks, what percent of the students have blue backpacks?

1050

= 0.20

= 20%

20% of the students have blue backpacks.

20100

=

Lesson Quiz

Insert Lesson Title Here

60%

Course 2

6-2 Fractions, Decimals, and Percents

1. Write 0.65 as a percent.

2. Write as a percent. 610

Choose the most useful method of computation. Then solve.

65%

Calculator; 45%

3. If 36 out of 80 people surveyed have been on a boat, what percent of these people have been on a boat?

Course 2

6-2 Fractions, Decimals, and Percents

Review and practiceGuided Practice

pg. 334 #1-11Homework

pg. 335 #12-26Overview

EQ: Can you find the two methods you use to write ¾ as a percent!