Understanding ratio notation, rate language and unit rates

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 as a fraction a/b.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'x per 1 unit'.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the quantity by the number of units. For example, if 10 apples cost $5, the unit rate is $5/10 = $0.50 per apple.

Front

What is the unit rate of 1 1/2 dozen cookies sold in 1/3 hour?

Back

The unit rate is 9/2 dozens of cookies per hour.

Front

If a recipe requires 3 1/2 cups of sugar for 14 muffins, how much sugar is needed for 7 muffins?

Back

1.75 cups of sugar are needed for 7 muffins.

Front

What is the unit rate of butter used if 1/2 a batch of cookies uses 1/4 cup of butter?

Back

The unit rate is 1/2 cups of butter per batch.

Front

How do you find the speed of an object in unit rate terms?

Back

To find the speed, divide the distance traveled by the time taken. For example, if a snail moves 3/10 of a meter in 1/12 hour, the speed is 3 3/5 meters per hour.

Front

If Henry can write 5 1/4 pages in 3 hours, how many pages does he write per hour?

Back

Henry writes 1.75 pages per hour.

Front

What does it mean to express a rate in simplest form?

Back

Expressing a rate in simplest form means reducing the ratio to its lowest terms, making it easier to understand and compare.

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.