Exploring Unit 4, Task 11 Concepts

This lesson covers the difference between rates and unit rates. A rate is a ratio comparing two different units, often expressed as fractions. Key indicators of rates include terms like 'per', 'in', and 'to'. Examples of rates include 30 miles per 2 gallons and 40 yards in 5 seconds. A unit rate is a rate with a denominator of one, such as 5 miles per hour. To find a unit rate, divide the numerator by the denominator.

What is a rate?

• A fraction with a denominator of one

• A single quantity

• A comparison of two quantities with different units

• A comparison of two quantities with the same units

Which of the following keywords typically identify a rate?

• Per

• Or

• And

• With

Which of the following is an example of a rate?

• 10 apples

• 5 miles

• 30 miles per 2 gallons

• 3 students

What differentiates a rate from a ratio?

• Rates are always whole numbers

• Rates are always less than one

• Rates compare quantities with different units

• Rates compare quantities with the same units

What is a unit rate?

• A rate with a denominator of one

• A rate with a numerator of one

• A rate with equal numerator and denominator

• A rate with a denominator of zero

If Hector can walk 10 miles in 2 hours, what is his unit rate?

• 10 miles per hour

• 20 miles per hour

• 5 miles per hour

• 2 miles per hour

How do you calculate a unit rate?

• Divide the numerator by the denominator

• Subtract the denominator from the numerator

• Add the numerator and denominator

• Multiply the numerator and denominator

What is the unit rate of 40 yards in 5 seconds?

• 10 yards per second

• 8 yards per second

• 5 yards per second

• 2 yards per second

Which of the following is NOT a unit rate?

• 20 dollars per 2 hours

• 3 books per student

• 10 apples per basket

• 5 miles per hour

What is the unit rate of 25 points in 2 games?

• 10 points per game

• 12.5 points per game

• 20 points per game

• 15 points per game