6th Grade Unit Rate and Proportions

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a quantity of one. For example, if you earn $50 for 2 hours of work, the unit rate is $25 per hour.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the total amount by the number of units. For example, if you earn $200 for 8 hours of work, divide 200 by 8 to find the unit rate of $25 per hour.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if 1/2 = 2/4, then these two ratios are in proportion.

Front

How can you find an unknown in a proportion?

Back

To find an unknown in a proportion, you can cross-multiply and solve for the unknown. For example, if a/b = c/d, then ad = bc.

Front

If Kaleigh buys 3 apps for $9, how much does each app cost?

Back

Each app costs $3. (Total cost $9 divided by 3 apps = $3 per app.)

Front

If Elijah earns $200 for 8 hours of work, what is his hourly wage?

Back

His hourly wage is $25 per hour. (Total earnings $200 divided by 8 hours = $25 per hour.)

Front

If Jasmine has 45 keys in total and 6 are padlock keys, what fraction of her keys are padlock keys?

Back

The fraction of padlock keys is 6/45, which simplifies to 2/15.

Front

How do you convert a ratio to a fraction?

Back

To convert a ratio to a fraction, write the first quantity as the numerator and the second quantity as the denominator. For example, the ratio 3:4 can be written as the fraction 3/4.

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions state that two ratios are equal. For example, if the ratio of boys to girls is 2:3, then the proportion can be written as 2/3 = 4/6.

Front

If Emily makes 2 bracelets in 3 hours, how many bracelets can she make in 1 hour?

Back

Emily can make 2/3 of a bracelet in 1 hour.