Calculating Unit Rates and Proportionality

This video tutorial introduces the concept of unit rates, explaining how they compare two values, such as speed or cost per unit. It provides step-by-step instructions on calculating unit rates, using examples like speed and cost per ounce. The tutorial also demonstrates the use of ratio tables for visualizing unit rates, emphasizing the importance of labels and correct division. The video concludes with a summary and encourages viewers to engage with the content.

What is a rate in mathematical terms?

• A specific kind of algebraic expression

• A method for solving geometry problems

• A comparison between two values

• A type of equation

How can a rate be expressed using a fraction?

• Both numerator and denominator

• Cannot be expressed as a fraction

• Denominator only

• Numerator only

What is a unit rate?

• A rate with the number one as the denominator

• A rate with any random denominator

• A rate that cannot be simplified

• A rate expressed without a fraction

What is the first step in calculating a unit rate?

• Divide the values

• Identify the two items being compared

• Write the rate as a ratio

• Label the units

How do you determine which number is the denominator when setting up a unit rate?

• It is the item you have one of

• It is the item you have more of

• It is always the smaller number

• It is always the larger number

What does a unit rate describe in the context of speed limits?

• The number of hours driven

• The time taken to travel one mile

• The distance traveled per unit of time

• The maximum speed allowed

What is the correct way to divide to find a unit rate?

• Divide the denominator by the numerator

• Divide the numerator by the denominator

• Multiply the numerator by the denominator

• Add the numerator to the denominator

What is the purpose of using ratio tables in understanding unit rates?

• To reduce the need for calculation

• To add complexity to simple calculations

• To create a more challenging problem

• To visualize the relationship between quantities

How many chunks should the bar be split into to find the rate per hour in the given example?

• Six chunks

• Five chunks

• Four chunks

• Three chunks

What is the cost per ounce for the fudge brownie M&Ms?

• $1.00

• $3.00

• $0.33

• $0.50