This document provides homework assignments from the textbook involving ratios, proportions, unit conversions, and comparing unit rates. Students are directed to complete odd or even numbered problems from specific pages.
Warm-Up
1. Is thefollowing 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 RatiosProportions?
Simplify to tell whether the ratios are equivalent.
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?
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
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