1. Ch. 2 Vocabulary
7.) Ratio 8.) Rate 9.) Unit rate 10.) Conversion factor 11.) Unit analysis

2. 2-6 Ratios, Rates & Conversions
Algebra 1

3. Rates Rate – two quantities measured in different units.
Unit rate – a rate per one given unit
For example, 30 mph

4. Example 1 Find the Unit Rate
$2 for 5 cans of green beans

5. Ex. 2 Convert the measure.
12 fluid ounces to cups (1 cup = 8 fluid ounces)

6. Ratio A ratio is a comparison of two numbers by division.
The ratio of 2 to 5 can be expressed three different ways;
2 to 5
2:5
2/5

7. Ratio’s (cont’d)
Basically, a ratio has to be a comparison of only like things or labels (in., ft., yd., & mile)
Referring to our previous example, then 2 ft to 5 ft we can write as a ratio, 2:5.
If we had 3 ft. to 7 in., then we would have to change feet to inches first. 3 • 12 = 36
36 in. to 7 in. OR 36/7

8. Ex. 3
The Sears tower in Chicago, Illinois, is 1450 ft. tall. About how many meters tall is the tower? Use the fact that 1m is approximately 3.28 ft.

9. Assignment

10. Percent A percent is a ratio that compares a number to 100.
Percent also means per hundred, or hundredths.
Percents can be expressed with a percent symbol (%), as fractions, or as decimals.
35% = 35/100 = .35

11. To solve problems with percents, you can either use
PERCENT PROPORTION OR
Percentage = r
Base
**Choose the best way
EQUATIONS
Write equations based on the key words,
is =
of x
what no. n

12. Example 1 30 is what percent of 70?
**What percent of 70 is 30?
30 = n * 70

13. Example 2 What number is 36% of 112?
n= .36 * 112