Unit Rates
What is a unit rate?
A unit rate means a rate for one of something
What are equivalent ratios?
Equivalent ratios are two or more ratios that represent the same relationship between numbers.
How can unit rates help you when shopping?
Unit rates help compare prices to determine which product is a better deal.
If a recipe calls for 3 cups of sugar to make 6 cupcakes, how much sugar is needed for 12 cupcakes?
You need 6 cups of sugar
Create a real-life scenario where you would need to use unit rates.
Comparing the cost of different brands of cereal to find the best deal per ounce.
If a car travels 300 miles in 5 hours, what is the unit rate in miles per hour?
60 miles per hour.
300/5=60
Are the ratios 2:3 and 4:6 equivalent? Explain why or why not.
Show your work.
Yes, they are equivalent because 2/3=4/6 when simplified.
If you can type 50 words in 2 minutes, how fast can you type in words per minute?
You can type 25 words per minute
If a car can travel 240 miles on 8 gallons of gas, how many miles can it travel on 1 gallon?
The car can travel 30 miles on 1 gallon
How would you explain the concept of equivalent ratios to a younger student?
Equivalent ratios are like having the same amount of candy but in different group sizes; they still represent the same total.
A recipe requires 4 cups of flour for 8 cookies. What is the unit rate of flour per cookie?
4 cups/8 cookies
0.5 cups per cookie.
Find two equivalent ratios for the ratio 5:10.
Two equivalent ratios are 1:2 and 10:20.
Explain how you would use unit rates to compare two different products.
By calculating the unit price for each product, you can see which one costs less per item.
A group of friends buys 3 pizzas for $24. How much would 7 pizzas cost?
7 pizzas would cost $56
Give an example of how you could use a table to represent equivalent ratios.
A table showing the number of pencils to pens in different quantities, like 2:5, 4:10, etc.
If a store sells 12 apples for $6, what is the unit price per apple?
6 dollars/12 apples = 0.5 dollars per apple.
If the ratio of cats to dogs is 3:4, what is the equivalent ratio if there are 12 cats?
The equivalent ratio is 12 cats to 16 dogs (12:16).
You buy 3 notebooks for $9. How much does each notebook cost?
Each notebook costs $3
If a runner completes 5 laps in 15 minutes, how long does it take to complete 1 lap?
It takes 3 minutes to complete 1 lap
Describe a situation in which you would need to find a unit rate in everyday life.
When comparing the gas mileage of two different cars to see which one is more efficient.
A cyclist travels 120 miles in 4 hours. What is the unit rate in miles per hour, and how would you calculate it?
120 miles/4 hours = 30 miles per hour
Create a table of equivalent ratios for the ratio 1:5.
show table
An athlete runs 10 miles in 1 hour and 30 minutes. What is the unit rate in miles per hour?
6.67 miles per hour.
If a painter can paint 3 rooms in 6 hours, how long will it take to paint 10 rooms?
It will take 20 hours to paint 10 rooms
Develop a word problem involving unit rates and solve it step by step.
If you can read 60 pages in 2 hours, how many pages can you read in 5 hours?