Mastering Rates and Unit Rates

LO: I can use Rates and Unit Rates to solve real world problems

Introduction to Rates

• Rates are a comparison of two quantities with different units.

• Unit rates are rates that have a denominator of 1 unit.

• Unit rates help us compare prices, speeds, and other measurements.

• They are often expressed as fractions or decimals.

Multiple Choice

What are unit rates used to compare?

• Quantities with different units

• Prices, speeds, and other measurements

• Rates with a denominator of 1 unit

• Fractions or decimals

Unit Rates:

Rates with a denominator of 1 unit are used to compare quantities with different units.


They are commonly used to compare prices, speeds, and other measurements. Unit rates can be represented as fractions or decimals.


They provide a standardized(uniformed) way to compare different quantities and make informed decisions.

Understanding Unit Rates

• Unit rate: A rate that compares a quantity to one unit of another quantity.

• Calculating unit rate: Divide the quantity by the unit to find the rate.

• Example: If 10 apples cost $5, to find the cost per apple, divide the cost, or $5 by the number of apples, 10. Your unit rate would be $0.50 per apple

Multiple Choice

What is the unit rate if 15 oranges cost $7.50?

• $0.50 per orange

• $0.75 per orange

• $1.00 per orange

• $1.50 per orange

Unit Price:

Did you know? The unit rate is the cost per unit of a product. In this case, the unit price for oranges is $0.50 per orange. It means that each orange costs $0.50. So, if you want to buy 15 oranges, it will cost you $7.50. Remember, unit price help us compare prices and make informed decisions!

Multiple Choice

What is unit rate used for?

• Comparing prices

• Calculating ratios

• Measuring quantities

• Converting units

Open Ended

Joshua earns $20 per hour tutoring. At this rate how much money does he make if he tutors 8 hours?

Open Ended

Joissy is jumping rope. The double number line represents the number of minutes and the number of jumps Joissy does. What is Joissy's jumping rate in jumps per minute?

Multiple Choice

What is the unit rate ?

• 55 jumps per minute

• 110 jumps in 2 minutes

• 220 jumps in 4 minutes

• 330 jumps in 6 minutes

Draw

Bravo Supermarket sells 5 cans of condensed milk for $2.50.

Write this amount as a rate of cost to cans.

Math Response

Bravo Supermarket sells 5 cans of condensed milk for $2.50.

What is the rate in dollars per can?

EXPRESS AS A FRACTION

Type answer here

Correct Answer: \frac{0.50}{1}

Deg^°

Rad

Math Response

What is the cost of 10 cans of soup?

EXPRESS AS A FRACTION

Type answer here

Correct Answer: \frac{5.00}{10}

Deg^°

Rad