1. Objective: Students will be able to understand
January 25, Math 201
Objective: Students will be able to understand
the concept of rate
Aim: What is the difference between a rate and a ratio?
Standards: 6.N.6, 6.N.8
Prior Knowledge: 1) In a classroom, there are 12 students
and 5 computers. Write the ratio of
students to computers.
2) In the gym closet, there are 10 softballs,
4 basketballs, and 3 soccer balls. Write the
ratio of soccer balls to the total number
of balls.

2. A rate is a ratio of two measurements having different units. Example:
Tyrone travelled 300 miles in 5 days
The units miles and days are different

3. When a rate is simplified so that it has a denominator of 1 unit, it is called a unit rate
Example:
The speed limit on the highway is 55 miles per hour
The denominator is 1 unit

4. Unit cost is the cost of a single item or unit of measurement
Example:
The cost of a 12-ounce jar of jam is $2.49
The unit cost is 21 cents per ounce

5. Example:
The telephone rang 50 times in 5 minutes. Write the rate as a fraction and find the unit rate.
Step 1 Write the rate as a fraction:
Step 2 Find an equivalent rate with a denominator of 1. (If we want 1 in the denominator, what number can we divide the denominator and numerator by?)
Step 3 Name the unit rate

6. Example:
Write the rate 90 miles in 2 hours as a fraction. Find the unit rate.
Write the rate as a fraction
The numerator and denominator have a common factor of _______________
Name the unit rate

7. Independent Practice:
Write the rate for selling 300 tickets in 6 days as a fraction. Find the unit rate.
Write the rate as a fraction.
Find an equivalent rate with a denominator of 1. Divide the numerator and denominator by ____.
The unit rate is _______ tickets per day.

8. Remember, to find a unit cost, divide by the denominator
Mr. Tucker bought a box of oranges for $ The box contains 15 oranges. Find the unit cost to the nearest cent.
Write the rate as a fraction
Divide the numerator by the denominator.
The unit cost rounded to the nearest cent is
______________
Each orange costs about_____________

9. Unit rate homework:
Write each rate as a fraction. Find each unit rate.
30 feet every 5 seconds
28 pancakes every 7 minutes
60 miles every 3 hours
$24.30 for 6 pounds