1. Lesson 1
Data Analysis
Ratios and Rates

2. Warm-Up Simplify the following fractions. a. b. c.
For each fraction below, write two equivalent fractions. a. b.

3. Ratios and Rates Targets:
Understand the difference between ratios and rates. Apply ratios and rates to solve problems.

4. Vocabulary Ratios: Uses division to compare two numbers.
Rates: A ratio comparing two numbers with different units.
Unit Rates: A rate with a denominator of 1.

5. Writing a Ratio A ratio comparing two numbers, a and b, can be written
in three ways:
a : b
a to b

6. Example 1a
Use the table to find the following ratios. Write each ratio
all three ways in simplest form.
Ratio of girls to all students
Total number of girls: = 20
Total number of students: = 42
Write ratios : to 21

7. Example 1b
Use the table to find the following ratios. Write each ratio
all three ways in simplest form.
Ratio of boys to girls
Total number of boys: = 22
Write ratios : to 10

8. Example 2
A rectangular picture frame measures 4.5 feet long and
18 inches wide. What is the total ratio of the frame’s
length to width?
Convert units.
4.5(12) = 54 inches
Ratio of length to width:

9. Example 3
Super cinemas sells a movie pass for $50 for admission into 8 movies.
Movie Land sells a similar pass for $60 for admission into 10 movies.
Which movie theater has the better deal?
Super Cinemas:
Movie Land:
Movie Land is the better deal.

10. Exit Problems Identify each as either a ratio or a rate.
3 yards to 6 feet
Convert $48 for 3 CD’s to a unit rate.
A recipe calls for 2 cups of granulated sugar and 1 cup of brown sugar. What is the ratio of granulated sugar to total sugar?

11. Communication Prompt
Describe the differences between a ratio, a rate and a unit
rate. Give an example of each one.