Understanding Ratios and Rates

This video tutorial introduces seventh graders to the concept of ratios, rates, and unit rates. It explains how to write and simplify ratios, identify equivalent ratios, and understand rates as comparisons of quantities with different units. The lesson also covers how to calculate unit rates and provides examples to illustrate these concepts.

What is a ratio?

• A comparison of two or more numbers

• A mathematical operation

• A unit of measurement

• A type of fraction

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

• Using a colon

• Using the word 'to'

• Using a fraction

• Using a multiplication sign

What must you do if a fraction can be simplified?

• Leave it as it is

• Simplify it to its lowest terms

• Convert it to a decimal

• Multiply it by 10

What are equivalent ratios?

• Ratios with different denominators

• Ratios that cannot be simplified

• Ratios that are always whole numbers

• Ratios that express the same relationship

How can you create an equivalent ratio?

• By dividing both terms by different numbers

• By subtracting the same number from both terms

• By multiplying both terms by the same number

• By adding the same number to both terms

What distinguishes a rate from a ratio?

• A rate is a type of fraction

• A rate compares two numbers with the same units

• A rate compares two numbers with different units

• A rate is always a whole number

What is a unit rate?

• A rate that is always a decimal

• A rate that compares to one unit of measurement

• A rate that compares two units

• A rate that cannot be simplified

How do you find a unit rate?

• By subtracting the denominator from the numerator

• By adding the numerator and denominator

• By dividing the numerator by the denominator

• By multiplying the numerator by the denominator

In a cost comparison, what does a lower unit rate indicate?

• A higher overall cost

• An equal value

• A better value

• A worse value

If a 30-pack of pencils costs $7.97, what is the cost per pencil?

• $0.40

• $0.27

• $0.50

• $0.60