1. Ratios, Rates, & Unit Rates
Lesson 9

2. ratio Ratio: a comparison of two quantities by division without labels
Part to part
Part to whole
Ratios can be written with words, a colon, or as a fraction. Make sure to write ratios in simplest form.
ratio

3. Practice Writing ratios
There are 6 apples, 4 bananas, 3 oranges
What is the ratio of bananas to apples?
What is the ratio of bananas and apples to oranges?
What is the ratio of oranges to total pieces of fruit?
There are 11 boys and 13 girls in a class.
What is the ratio of boys to girls?
What is the ration of boys to students?
Practice Writing ratios

4. Rate: a ratio that compares two quantities measured in different units, includes labels. Written as a fraction.
160 Beats
2 Minutes
288 Miles
6 hours
Rate

5. Unit Rate: a rate whose denominator is 1 when written as a fraction.
To find the unit rate, divide the numerator (top) by the denominator (bottom).
160 Beats ÷ 2 = 80 beats
2 Minutes ÷ minute
288 Miles ÷ 6 = 48 miles
6 hours ÷ hour
MONEY ALWAYS GOES ON TOP
Unit Rates

6. Practice Unit Rates

7. Practice Unit rates

8. Complex Fractions: contain a fraction in the numerator, denominator, or both.

9. Practice Unit rates with complex fractions
Divide the numerator by the denominator!
Practice Unit rates with complex fractions

10. Unit rates with complex fractions
Unit rates may include complex fractions.
EX: Marc mowed ½ of his yard in 1 hour.
To find the unit rate, divide the numerator (top) by the denominator (bottom).
4 cups of flour
1 cup of sugar
Cups of flour
Cups of sugar
Unit rates with complex fractions

11. Practice Unit rates with complex fractions

12. Better Buy/ better deal
To find the better buy, compare unit rates. Determine which item is the cheapest per unit.
Find the unit rate for each item, then compare.
To find the unit rate divide the numerator by the denominator. Round to the nearest cent (hundredth).
Money should always be the numerator, to find the cost per unit!
$ $2.12
96 oz oz
$0.02 per oz for brand a
$0.01 per oz for brand b
Brand B is the BETTER BUY! It is cheaper.
Better Buy/ better deal

13. Practice Better buy

14. Better buy practice

15. Better buy practice

16. If two rates have the same unit rate, they are proportional!
*Remember this for next week!
Proportional rates