2. Dates to Remember
Wash Khan
Academy
Clothes
Khan
cut the
Academy
Grass
3. Warm-Up
1. Is the following a proportion? Why or why not:
18/3 = 96/24
2. Solve: 3 + y = -y
4 6
3. Students at MHS go to school 180 out of the 365 days
in a non leap year. What percent of the year is this?
4. Proportions
The shadow of a 4 ft. tall mailbox is 3 ft. long.
If the shadow of a tree is 36 ft. long, how tall
is the tree?
height height
=
shadow shadow
4 H
3 = 36
You must be careful to place the
same quantities in corresponding
144 = 3H positions in the proportion
H = 48
The tree is 48 ft. tall
4
5. Are the Ratios Proportions?
Simplify to tell whether the ratios are equivalent.
8. Ratios vs. Rates
A ratio is the comparison of two different numbers.
Solve: The basketball team won 7 games and lost 4 games.
A. What is the ratio of wins to losses? B. What Percent
of its games has the team won. (What is its win Percent?)
In a ratio, if the numerator and denominator are measured in
different units then the ratio is called a rate.
You can travel 1200 miles on 60 gallons of gas. This rate is
expressed as: 1200 miles/ 60 gal.
A unit rate is a rate in which the second quantity is 1. Like 60
miles per 1 hour. In the above example, what is the Unit? What
is the unit rate?
11. Ratios Involving Measurement
1. Express the ratio 6 feet to 15 inches as a fraction in
simplest form.
Six feet = 72 in. Simplify 72/15; the answer is 24/5
*Change the larger unit to the smaller one. 3 pints = 6cups.
The ratio is now 6 cups to 2 cups. Simplify to: 3/1
12.
13. . Class Work:
Pages 62-63: Odd/Even
**Page 66: Odd; do 3, 5, 7
Even; do 4, 6, 8
**Page 65: Odd; do 3, 5, 9
Even; do 2, 6, 8
