Exploring Ratios and Unit Rates

The video tutorial introduces the concept of ratios and unit rates, explaining their definitions and different methods to express them. It provides examples to illustrate how ratios compare two numbers and how unit rates simplify these comparisons to one unit. The tutorial includes practical examples, such as calculating the cost per pack of cards and determining time per mile, to demonstrate the application of these mathematical concepts.

What is a ratio?

• A comparison of two numbers by division

• A number that represents a part of a whole

• A method to solve equations

• A number that is always greater than one

Which of the following is NOT a way to write a ratio?

• A plus B

• A to B

• A colon B

• A/B

If you have 5 apples and 10 oranges, how would you write the ratio using the fraction method?

• 10/5

• 5/10

• 5:10

• 5 to 10

What is a unit rate?

• A ratio where one of the numbers is one

• A ratio where both numbers are equal

• A ratio that compares two different units

• A ratio that is always less than one

If you buy 5 packs of Star Wars cards for $25, what is the unit rate?

• $5 per pack

• $25 per pack

• 5 packs per dollar

• 25 packs per dollar

How do you convert 30 seconds to 60 seconds when calculating unit rates?

• By subtracting 30

• By multiplying by 2

• By adding 30

• By dividing by 2

Why would you change 30 seconds to 60 seconds in a unit rate calculation?

• To increase the numbers

• To reduce the numbers

• Because 60 seconds is one minute

• To make the calculation easier

If Rita ran 5 miles in 48 minutes, what is her time per mile?

• 8.5 minutes per mile

• 12 minutes per mile

• 9.6 minutes per mile

• 10 minutes per mile

What is the first step in finding the unit rate for Rita's running time?

• Divide the time by 5

• Add 5 to the time

• Multiply the time by 5

• Subtract 5 from the time

What should you do to both numbers when calculating a unit rate?

• Multiply or divide both by the same number

• Subtract the same number from both

• Leave one number unchanged

• Add the same number to both