Unit Rate Basics
What is a unit rate?
A ratio that compares two quantities with different units where the denominator of the ratio is one.
If 5 apples cost $3, what is the cost per apple?
$1.60
How do you calculate the unit rate from 60 miles in 2 hours?
60miles/2 hours ---> divide both the numerator and denominator by 2 to find how many miles per 1 hour.
Which is a better deal:
4 pens for $2 or 7 pends for $3?
4 pens for $2
What does "per" mean when discussing rates?
indicates an amount for each unit
Give an example of a unit rate in everyday life.
Answers vary- teacher judgement
A car travels 150 miles on 5 gallons of gas. What is the miles per gallon?
30 miles per gallon
If you earn $120 for 15 hours of work, what is your hourly wage?
8 dollars per hour
If a car goes 180 miles in 3 hours, how does that compare to another that goes 240 miles in 4 hours?
They are the same miles per hour
comparison of two quantities (a and b). Can be written 3 ways.
What is the formula used to find a unit rate?
An item per one unit of another item; a rate with a denominator of one.
If a recipe requires 3 cups of flour for 4 batches, how much flour is needed per batch?
3/4 cup flour
Find the unit rate for 45 miles in 3 hours.
15 miles per hour
Which is a better deal: 5 pounds of bananas for $4 or 8 pounds for $6.
5 pounds for $4
What 3 ways can ratios be represented?
Can be written with a colon (a:b), in fraction form (a/b), using words (to or for every)
How is a unit rate different from a ratio?
a ratio is a comparison of two quantities, and a unit rate is an amount of an item (numerator) per 1 unit of another item (denominator).
If a school has 120 students and 5 teachers, what is the student-to-teacher ratio and the unit rate of students per teacher?
24 students per teacher
Calculate the unit rate for 100 miles in 2.5 hours.
40 miles in one hour
Determine which has a better unit rate: 6 pizzas for $30 or 10 pizzas for $50.
10 pizzas for $50
Provide an example of using rate language to describe a situation.
teacher judgement
Why is it important to understand unit rates?
teacher discrepancy
If Joan bought 11 oz of blueberries for $5.50, and Josh bought 12 oz for $6.00, who paid the higher rate?
They paid the same
What is the unit rate for 90 yards in 3 minutes?
30 yard per minute
If one car gets 30 miles per gallon and another gets 25 miles per gallon, which is more efficient?
30 miles per gallon
Jason is driving across the country. For the first 3 hours he travels 60mph. For the next 2 hours he travels 72 mph. Assuming he has not stopped during his traveling, what is his average traveling speed in miles per hour?
64.8 miles per hour