Understanding Rates and Unit Rates

This lesson covers the concept of rates, focusing on unit rates and their applications. It begins with defining rates as ratios comparing two quantities, often involving time. The lesson includes examples such as miles per hour and dollars per hour. It then explores unit rates, demonstrating how to calculate them through example problems. The first problem involves calculating how long it takes to save a certain amount of money, while the second problem compares the fuel efficiency of two cars. The lesson emphasizes the importance of unit rates in simplifying calculations and making comparisons.

What is a rate?

• A comparison of two quantities using division

• A type of equation

• A type of graph

• A mathematical operation

Which of the following is an example of a rate?

• Meters

• Liters

• Kilograms

• Miles per hour

What is a common unit for measuring speed?

• Miles per hour

• Kilograms per hour

• Liters per hour

• Meters per hour

What is the first step in finding a unit rate?

• Add the quantities

• Multiply the quantities

• Divide the quantities

• Subtract the quantities

If Alexei saves $45 every three weeks, how much does he save in one week?

• $60

• $15

• $30

• $45

What is the unit rate of $45 every three weeks?

• $25 per week

• $20 per week

• $15 per week

• $10 per week

How many weeks will it take Alexei to save $105?

• 7 weeks

• 8 weeks

• 6 weeks

• 5 weeks

What is the unit rate of Alexei's savings per week?

• $10

• $15

• $20

• $25

How much money will Alexei save in five weeks?

• $105

• $90

• $75

• $60

What is the benefit of finding a unit rate?

• It simplifies calculations

• It is unnecessary

• It complicates the problem

• It provides an exact answer