Do Now 2/10/12Do Now 2/10/12

Take out HW from last night.Take out HW from last night.– Text p. 229, #1-20 all, 22-34 evensText p. 229, #1-20 all, 22-34 evens

Copy HW in your planner.Copy HW in your planner.– Text p. 234, #1-10 all, 18-33 all, 36-40 all, 49Text p. 234, #1-10 all, 18-33 all, 36-40 all, 49

In your journal, answer the following question. The In your journal, answer the following question. The students at Westview Middle School are collecting students at Westview Middle School are collecting cans of food for the local food bank. Their goal is cans of food for the local food bank. Their goal is to collect 2,000 cans in one month. After 10 days, to collect 2,000 cans in one month. After 10 days, they have collected 800 cans of food. What they have collected 800 cans of food. What percent of their goal have they reached?percent of their goal have they reached?

HomeworkHomeworkText p. 229, #1-20 all, 22-34 Text p. 229, #1-20 all, 22-34

evensevens

1) proportion1) proportion 2) decimal2) decimal 3) ratio3) ratio 4) simplest form4) simplest form 5) 0.85) 0.8 6) 0.536) 0.53 7) 0.7397) 0.739 8) 0.078) 0.07 9) 0.49) 0.4 10) 0.62510) 0.625 11) 0.58311) 0.583 12) 0.6512) 0.65 13) 1/2013) 1/20

14) 23/2514) 23/25 15) 13/100015) 13/1000 16) 4/516) 4/5 17) 3/50017) 3/500 18) 61/20018) 61/200 19) 7/10,00019) 7/10,000 20) 26/25 or 1 1/2520) 26/25 or 1 1/25 22) 9522) 95 24) 1/824) 1/8 26) 1/426) 1/4 28) 1528) 15 30) 730) 7 32) 432) 4 34) 1634) 16

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?

0 200 400 600 800800 1,000 1,200 1,400 1,600 1,800 2,000

0 800 800 = = 222,000 2,000 55

35

45

55

15

00.2 0.40.4 0.6 0.8 1.0

0 20% 40%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

As afraction

As adecimal

As apercent

ObjectiveObjective

SWBAT write decimals and SWBAT write decimals and fractions as percentsfractions as percents

Percent-Percent- means ‘per one means ‘per one hundred’ or divided by hundred’ or divided by 100. 100.

How many cents are there in a dollar?

Section 6.1, “Fractions, Section 6.1, “Fractions, Decimals, and Percents” Decimals, and Percents”

Always move the decimal Always move the decimal point point TWOTWO places to the places to the RIGHT and add a % sign!RIGHT and add a % sign!

%%

0.710.71 7711

Writing Decimals as Percents Writing Decimals as Percents

When you move the decimal point two places to the RIGHT, When you move the decimal point two places to the RIGHT, you are really multiplying by 100.you are really multiplying by 100.

%%..00

0.120.12 12%12%0.240.2455

24.5%24.5%

Writing Decimals as Percents Writing Decimals as Percents

22 200200%%0.0040.004

55 0.45%0.45%

PercentPercenta fraction/ratio whose denominator isa fraction/ratio whose denominator is

1515

15%15%

100100OO

OO

1515100100

1515 OOOO11

==

Writing Fractions as Writing Fractions as PercentsPercents

Writing Fractions as PercentsWriting Fractions as Percents

12%12% x 4x 4 x 4x 4

33 2525

1212100100

80%80% x x 2020 x x 2020

44 55

8080100100

Write the fraction as an equivalent Write the fraction as an equivalent

fraction with a denominator of fraction with a denominator of 100100..

Method #1Method #1

Writing Fractions as PercentsWriting Fractions as Percents

8

7This means 7 divided by 8.This means 7 divided by 8.

A fraction is the quotientA fraction is the quotient of two integersof two integers

RememberRemember

87

780

64 6

87

Finished

.00

56 4

05

400.875 = 0.875 = 87.5% 87.5%

8

7Use division to write the fraction Use division to write the fraction as a decimal.as a decimal.

Method #2Method #2

Writing Fractions as PercentsWriting Fractions as Percents

12

5Rewrite the fraction as a Rewrite the fraction as a decimal.decimal.

12

5This means 5 divided by 12.This means 5 divided by 12.

A fraction is the quotientA fraction is the quotient of two integersof two integers

RememberRemember

125

55121200

4848 22

4411

Repeating decimalRepeating decimal

..0000

1212 88

0066

7272

0.416 = 0.416 = 41.6% 41.6% 88

Ordering Rational Ordering Rational NumbersNumbers

To compare and order rational To compare and order rational numbers:numbers:

(1)(1)Write all of the numbers as Write all of the numbers as decimalsdecimals

with the same number of decimal with the same number of decimal places. places.

(2) Graph the numbers on a number line (2) Graph the numbers on a number line to see the correct order.to see the correct order.

0 0.5 1

Plot the numbers on a number line. Then order them from least to greatest.

%145,8

5,67.0%,20,

5

2

1.5

4.0

0.40.2 0.670.625 1.45

%145,67.0,8

5,

5

2%,20

In order them from least to greatest.

Using a Number LineUsing a Number Line

2.0 67.0 45.1625.0

Order the Rational Numbers from Least to Order the Rational Numbers from Least to GreatestGreatest

,0.77, 71%, 0.7 ,0.77, 71%, 0.7

0.70.7

0.770.77

0.710.710.70.7

Line up numbers by Line up numbers by the decimal pointthe decimal point

0.70.70000

0.710.710.70.77777

Write all decimals in Write all decimals in the same place valuethe same place value

Place numbers in Place numbers in order from least to order from least to

greatestgreatest

0.70.7

0.710.71000.770.7700

0.70.7

7 7 1010

Write all numbers as Write all numbers as decimals.decimals.

0.770.77

7 7 1010 ,71%, 0.77, 0.7 ,71%, 0.77, 0.7

HomeworkHomework– Text p. 234, #1-10 all, 18-33 all, 36-40 all, Text p. 234, #1-10 all, 18-33 all, 36-40 all,

4949

NJASK7 PrepNJASK7 Prep