Understanding Ratios and Rates

The video tutorial covers the concept of ratios, including their definitions and different ways to write them. It explains how to simplify ratios and convert units. The tutorial introduces unit rates, defines them, and discusses their practical applications. Examples of calculating unit rates are provided, along with a discussion on their real-world uses. The video concludes with a reminder to bring a calculator to class for further exercises.

What is a ratio?

• A comparison of two quantities by addition

• A comparison of two quantities by division

• A comparison of two quantities by subtraction

• A comparison of two quantities by multiplication

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

• Using a fraction

• Using a colon

• Using a percentage

• Using the word 'to'

What does it mean for two ratios to be equivalent?

• They are both written as fractions

• They are written in the same format

• They have the same value but different numbers

• They have the same numbers

How can you find an equivalent ratio to 1:5?

• Subtract 1 from both terms

• Add 1 to both terms

• Divide both terms by 2

• Multiply both terms by 2

When converting measurements to write a ratio, what should you do?

• Convert both measurements to the same unit

• Convert only the smaller measurement

• Convert only the larger measurement

• Leave the measurements as they are

What is a rate?

• A ratio comparing quantities over time

• A ratio comparing three quantities

• A ratio comparing two quantities with different units

• A ratio comparing two quantities with the same units

Which of the following is an example of a rate?

• 10 miles to 2 kilometers

• 3 feet to 36 inches

• 20 grams of fat per 5 servings

• 5 apples to 3 oranges

What is a unit rate?

• A rate for two units of a given quantity

• A rate for three units of a given quantity

• A rate for four units of a given quantity

• A rate for one unit of a given quantity

How do you find the unit rate of 50 miles in 5 days?

• Multiply 50 by 5

• Divide 50 by 5

• Add 50 and 5

• Subtract 5 from 50

Why is it important to understand unit rates?

• They are not practically useful

• They are only used in mathematical problems

• They are used in everyday decisions like shopping

• They help in comparing quantities with the same units