Ratios and Rates

1.1 Ratios and Rates

Let's practice Ratios and Rates! 

Ratios show the relationship between two values by division that can be written 3 ways. 

Multiple Select

What are the 3 ways we can write a ratio?

• As a fraction

• As an exponent

• Using a colon :

• Using "to"

• Using a plus sign

Multiple Choice

How do you feel about writing ratios?

Let's Practice

Multiple Choice

There are 6 dogs and 10 cats. What is the ratio of dogs to cats?

• 10 to 6

• 6 to 10

Multiple Select

Select all of the correct answers. There are 25 students and 3 teachers. What is the ratio of teachers to students?

• 3:25

• 25:3

• 3 to 25

• 25 to 3

• _25/3

Sometimes we will be asked to compare parts to a whole. 

Example: A gym teacher has 25 basketballs and 15 footballs. 

Multiple Select

A gym teacher has 25 basketballs and 15 footballs. What is the ratio of footballs to basketballs? (Hint: There is more than 1 answer)

• 25 to 15

• 15:25

• 25:40

• 40 to 15

• 3:5

Multiple Select

A gym teacher has 25 basketballs and 15 footballs. Write the ratio of basketballs to TOTAL balls. (Hint: There is more than one answer)

• 25: 15

• 25:40

• 15:40

• 15:25

• 5:8

Multiple Select

A gym teacher has 25 basketballs and 15 footballs. What is the ratio of total balls to basketballs?

• 25:15

• 8:5

• 25:40

• 40:25

• 40:15

RATES

Rate: A ratio of two quantities using different units. 

Unit Rate: Compares a quantity to one unit of another quantity. 

Equivalent Ratios: Have the same unit rate. 

Poll

Are you ready to practice unit rates?

• yes

• no

Multiple Choice

Which of the following is an example of a UNIT rate?

• 300 miles per 3 hours

• $5 for 6 bananas

• 2 pizzas per 1 family

• 1 mile in 10 minutes

Multiple Choice

What operation do we use to find the unit rate?

• Addition

• Subtraction

• Multiplication

• Division

Multiple Choice

What is the better buy? (aka. what's the least expensive!!)

• $6.99 for 6 bags of chips

• $4.99 for 4 bags of chips

• $10 for 8 bags of chips

Multiple Choice

If two tickets to the movies cost $14, then how much does it cost for 3 tickets ?

• $14

• $7

• $21

• $17

Equivalent Ratios

Equivalent ratios are equal. We can determine if two ratios are equivalent by cross-multiplying. If their products are equal, then they are equivalent ratios.

Multiple Select

Are these equivalent ratios?

 $\frac{6}{2}\ and\ \frac{12}{4}$  

• YES

• NO

Multiple Select

Are these equivalent ratios?

 $\frac{2}{3}\ and\ \frac{4}{12}$  

• YES

• NO

Multiple Select

How do you feel this lesson went?