Ratios and Rates

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you express a ratio in simplest form?

Back

To express a ratio in simplest form, divide both terms of the ratio by their greatest common divisor (GCD).

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is a rate?

Back

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

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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 apples = $0.50 per apple.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If you can cut 3 lawns in 5 hours, what is your rate of cutting lawns per hour?

Back

Your rate is 3 lawns / 5 hours = 0.6 lawns per hour.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If your friend can cut 5 lawns in 8 hours, what is their rate of cutting lawns per hour?

Back

Your friend's rate is 5 lawns / 8 hours = 0.625 lawns per hour.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you compare two rates?

Back

To compare two rates, convert them to the same unit or find a common denominator, then compare the values.

Tags

CCSS.6.RP.A.3A

Front

If hamburger sells for 3 pounds for $6, how much does it cost per pound?

Back

The cost per pound is $6 / 3 pounds = $2 per pound.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the formula to find the rate of snowfall?

Back

The rate of snowfall can be calculated using the formula: Rate = Total Snowfall (in inches) / Total Time (in hours).

Tags

CCSS.6.RP.A.3B

Front

If Buffalo received 22 inches of snow in 12 hours, what was the snowfall rate?

Back

The snowfall rate for Buffalo is 22 inches / 12 hours = 1.83 inches per hour.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2