Name
The calendar and all assignments are subject to change. Students will be notified of any changes during class,
so it is their responsibility to pay attention and make any necessary changes. All assignments are due the
following class period unless indicated otherwise.
Monday
19
Rates and Ratios –
Unit Rates
Tuesday
20
More rates and
ratios. What are
percents?
Wednesday
21
Connecting Rates,
Ratios, Percents and
fractions
Thursday
22
Common Percents
26
27
More Percents
28
Circle Graphs
29
M & M Activity
Friday
23
Quiz
30
½ day for Students
Percents
Ratio
-
Fraction
How do we define ratio ?
Why is fraction an important part of understanding ratios?
1.
Ratio of apples to oranges ______________ Ratio of oranges to the fruit above___________
2. Ratio of girls to boys in our class _____________Ratio of students to teacher ____________
3. Ratio of students wearing red to students wearing green _______________
Unit Rate:
The "Unit Price" (or "unit cost") tells you the cost per liter, per kilogram, per pound, etc, of what you want to buy.
Just divide the cost by the quantity:
Example: 2 liters for $3.80 is $3.80/2 liters = $1.90 per liter
1
Use your book to complete the page below. Page 407
1. A unit rate is a ________________________________.
2. Writing a Rate as a Unit Rate
To write a rate as a unit rate,
__________________________________________________________.
3.
Example #9 Write as a unit rate: $31,500 every 7 months
4. Example # 10 Write as a unit rate: 337.5 miles every 15 gallons of gas
Next page 408;
5. Example 12 Finding the Best Buy
Approximate each unit price to decide which is the better buy: 4 bars of soap for $0.99
or 5 bars of soap for $1.19.
2
More Rate and Ratio
The advertising department plans to report the results of taste tests. The following are the
proposed four possible conclusions:
1. In a comparison taste test, people who preferred M&Ms outnumbered those who preferred Skittles
by a ratio of 468 to 312.
2. In a taste test, 156 more people preferred M&Ms.
3. In a taste test, 60% of the people preferred M&Ms.
4. In a taste test, people who preferred M&Ms outnumbered those who preferred Skittles by a ratio of
3:2
A. Describe what you think each statement above means.
1.
2.
3.
4.
B. Which one of the proposed statements do you think would be most effective by itself if you were
Advertising M&Ms? Why?
C. Is it possible that all four statements are based on the same survey data? Explain your reasoning.
D. In what other ways can you express the claims in the four proposed advertising statements? Explain.
3
When we say "Percent" we are really saying "per 100"
One percent (1%) means 1 per 100.
1% of this line is shaded: it is very small isn't it?
100% means
In last Sunday’s Lions game, quarterback
Matthew Stafford threw 25 complete
passes along with 15 incomplete passes. Use
that information to answer the following
questions:
all.
Example:
100% of 80 is
100
× 80 = 80
half.
1. Write a fraction that represents the
number of complete passes Stafford threw
out of his total.
50
2. What is the ratio of complete passes to
total passes that Stafford threw?
100
50% means
Example:
50% of 80 is
100
× 80 = 40
3. What percent of Stafford’s passes were
complete?
5
5% means /100ths.
Example:
5% of 80 is
5
100
× 80 = 4
4. If Stafford has the same completion
percentage next week, but throws 56 total
passes, how many passes will he complete?
5. Do your answers to #1-3 have anything in
common?
4
How do we use information to find a
percent?
Over the course of a season, you make 135 free throws, and miss 72. What is your free throw
completion percentage?
Fraction
Decimal
Percent
total made
135


total attempted 207
How can we apply our new knowledge?
The following season, you attempt 250 free throws. Assuming you make the same percentage,
how many free throws will you make next year?
Practice
1. You recently took a test, and you got 17 out of 23 questions correct. What percent of
questions did you get correct?
2. There are 36 carpenters in a crew. Today, 29 of them showed up for work. What
percentage of carpenters showed up for work?
3. The new shoes that you’ve always wanted cost you $135. However, today is your lucky day!
The shoes are on sale for 65% of the original price. How much do the shoes cost now?
4. At your new job, you have the chance to earn $30,000 per year. However, 27% of your
income must be paid in taxes. How much money will you actually make, after taxes?
5
A Percent can also be expressed as a Decimal or a Fraction
A Half can be written...
As a percentage:
As a decimal:
As a fraction:
1. Write each ratio as a decimal, a fraction in lowest terms and as a percent.
Ratio
Fraction
Decimal
Percent
1:4
8:10
18:25
42:50
2. Write each percent as a decimal, a fraction in lowest terms and as a ratio.
Percent
Decimal
Fraction
Ratio
10%
25%
90%
120%
6
Common Percents
You can calculate percentages by first finding what 10% of a value is and then what 5
or 1% is. From there you can multiply to find multiples and then add to get the required
percentage. The example below shows this.
What is 35% of $40?
Step 1
What is 10% of $40?
10% of $40 = $40 ÷ 10 = $4
10% is a relatively easy percentage and
can be found by dividing by 10.
Step 2
3 x $4 = $12
30% of $40 = $12
30% is 3 times ( 3 x) 10% so we multiply
what 10% of $40 is by 3
Step 3
What is 5% of $40?
5% of $40 = $4 ÷ 2 = $2
5% is half of what 10% is so divide what
10% is by 2 .
Step 4
What is 35% of $40?
$12 + $2 = $14
Add what 30% is to what 5% is.
Use the above steps to calculate the percentages fill in the blanks in the tables below.
The first table is completed for you.
10% 30% 5% 35%
10% 40% 5% 45%
$10
$10
$20
$20
$40
$60
10% 80% 5% 85%
10% 1%
$50
$40
$90
$60
$100
$140
7
2% 12%
Use similar steps as shown on the first example to calculate the percentages and
complete the tables below.
10% 1%
6% 16%
10% 1%
$20
$40
$70
$80
$120
$200
10% 1%
8% 18%
3% 13%
10% 5% 2.5% 17.5%
$30
$20
$70
$30
$100
$40
10% 5% 2.5% 12.5%
10% 60% 5% 65%
$30
$40
$80
$70
$90
$90
8
Find 50% of the following numbers.
1.
24
2.
104
3.
95
4.
308
943
8.
21
What is the rule for finding 50%
Find 10 % of the following numbers.
5.
76
9. 93
6.
185
10. 5
7.
11. 2098
What is the rule for finding 10%
Find 1% of the following numbers.
12.
23
16. 9
13.
85
10. 53
14.
763
11. 20098
What is the rule for finding 1%
9
15.
216