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