**Ratio, Rate, Proportion**

Ratios

The ratio of triangles to circles is 2 to 3.

Ratios

You can write ratios

3

ways

Rate

A rate is a

ratio

comparing two numbers with different

units

.

Conclusion

Ratio

A

ratio

is a

comparison

of two or more numbers.

1. 2 to 3

2. 2:3

3. 2/3

Ratios

Write ratios in

simplest form

.

28/36 7/9

18/9 2/1

14/32 7/16

Rate, Unit Rate

Example

A car travels 100 miles in 2 hours.

100 miles

2 hours

You should know:

Example:

Definition:

You should know:

Definition:

Rates, Unit Rate

You should know:

A

unit rate

tells the rate in the lowest terms, or the amount for

1

.

Ex.

100 miles

2 hours

=

50 miles

1 hour

Ratios Warm-Up

2. There are 72 students and 3 teachers on Team 7-3.

3. There are 33 girls and 39 boys on Team 7-3.

4. A train car has 64 seats. There are 48 passengers on the train.

Write the ratios in simplest form in all three forms.

5. Last year Morgan's baseball team won 20

more games than they lost

. If they won 80 games, what was the ratio of wins and loses?

**Proportions**

**A proportion is an**

equation

showing two ratios are

equal

.

equation

showing two ratios are

equal

.

definition:

**Proportions**

Example:

**10**

**25**

**=**

**40**

**100**

**Proportions**

You Should Know:

In a proportion, if the ratios are equivalent then the

cross-products

are equal.

Think of equal fractions.