Unit Rates and Proportions

This video tutorial covers the concept of unit rates, explaining how they are ratios comparing two quantities with different units. It discusses how to express rates as unit rates with a denominator of one and introduces complex fractions. The tutorial provides practical examples, such as calculating Sarah's walking rate and comparing battery prices to find the best deal. It also explores proportions and their relation to rates, using examples like Bob's pizza consumption. The video concludes with real-world applications of unit rates, emphasizing their usefulness in everyday shopping scenarios.

What is a unit rate?

• A rate that cannot be simplified

• A rate comparing two similar units

• A rate with a numerator of one unit

• A rate with a denominator of one unit

How do you convert a rate of 80 miles in 2 hours to a unit rate?

• Subtract 2 from both the numerator and denominator

• Add 2 to both the numerator and denominator

• Multiply both the numerator and denominator by 2

• Divide both the numerator and denominator by 2

What is a complex fraction?

• A fraction with a decimal as the numerator

• A fraction that cannot be simplified

• A fraction with a fraction as the numerator or denominator

• A fraction with a whole number as the numerator

How do you solve a complex fraction like 1/2 divided by 1/3?

• Multiply by the reciprocal of the divisor

• Divide by the reciprocal of the divisor

• Subtract the fractions

• Add the fractions

If Sarah walks 52 steps in half a minute, how many steps does she walk in a full minute?

• 52 steps

• 26 steps

• 104 steps

• 78 steps

What is a proportion?

• A rate with a denominator of one

• An equation stating two ratios are equivalent

• A comparison of two different units

• A fraction with a whole number

In the phrase '24 dollars profit for every 2 bracelets sold', what is the denominator?

• Every

• 2 bracelets

• 24 dollars

• Profit

Which package of batteries offers a better deal?

• Both are the same

• 16 count for $16

• Neither is a good deal

• 4 count for $4.25

How many pizzas can Bob eat per hour if he eats half a pizza in a quarter hour?

• 2 pizzas

• 1 pizza

• 4 pizzas

• 3 pizzas

What is the unit rate for the price of one battery in the 16 count package?

• $1.06

• $1.00

• $1.10

• $0.94