6.4BD, 6.5A: Proportional Ratios & Rates (Mon., April 14)

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they can be simplified to the same fraction.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms of the ratio by their greatest common factor (GCF).

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as miles per hour or price per item.

Front

How do you find a missing value in a proportional relationship?

Back

You can find a missing value in a proportional relationship by setting up a proportion and cross-multiplying to solve for the unknown.

Front

If 5 gallons of blue paint are mixed with 9 gallons of yellow paint, what is the ratio of blue to yellow?

Back

The ratio of blue to yellow paint is 5:9.

Front

How can you express the ratio 8:2 in simplest form?

Back

The simplest form of the ratio 8:2 is 4:1.

Front

What is the unit rate of 40 grams of insects eaten by 8 bats?

Back

The unit rate is 5 grams per bat (40 grams ÷ 8 bats).

Front

If the ratio of boys to girls is 5:4 and there are 60 girls, how many boys are there?

Back

There are 75 boys in the choir.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.