Exploring Ratios, Rates, and Unit Rates

The video lesson introduces the concept of ratios, explaining how they compare two quantities and can be represented in different forms. It covers the distinction between part-to-part and part-to-whole ratios, and extends the discussion to rates and unit rates, which involve different units. The lesson includes examples of calculating unit rates using complex fractions and explores equivalent ratios through ratio tables. The video concludes with practice problems to reinforce the concepts taught.

What are the three ways to represent a ratio?

• Graph, chart, and table

• Fraction, decimal, and percentage

• Addition, subtraction, and multiplication

• Colon, fraction, and the word 'to'

What distinguishes a rate from a ratio?

• Rates compare similar quantities

• Rates are always written as fractions

• Rates compare quantities using different units

• There is no difference

What is the unit rate of cupcakes if 24 dollars buys 12 cupcakes?

• $2 per cupcake

• $1 per cupcake

• $12 per cupcake

• $24 per cupcake

How do you simplify a complex fraction to find a unit rate?

• By adding the numerator and denominator

• By dividing the numerator by the denominator

• By multiplying by the reciprocal

• By subtracting the denominator from the numerator

If a half tablespoon of frosting has 5/4 grams of fat, how many grams of fat are in one tablespoon?

• 2 grams

• 2 and 1/2 grams

• 5/4 grams

• 1 gram

What is the unit rate of a swan's flight if it flies 1 and 1/4 miles every 2/3 of a minute?

• 1 mile per minute

• 1 and 1/4 miles per minute

• 2/3 mile per minute

• 1 and 7/8 miles per minute

What is an equivalent ratio?

• A ratio that cannot be simplified further

• Ratios that have the same value when simplified

• A ratio that simplifies to 1:1

• Ratios that are opposites of each other

How many boys are in the class if the ratio of girls to boys is 5 to 3 and the class has 24 students?

• 9 boys

• 15 boys

• 10 boys

• 14 boys

How do you find equivalent ratios in a ratio table?

• By subtracting the same number from each value

• By multiplying each value by the same number

• By dividing each value by the same number

• By adding the same number to each value

In a ratio table, if the ratio of milk to chocolate syrup is 1/2 cup to 2 tablespoons, what is the ratio for 1 cup of milk?

• 1 cup to 4 tablespoons

• 1 cup to 2 tablespoons

• 1 cup to 8 tablespoons

• 1/2 cup to 4 tablespoons