Rates, Ratios and Unit Rates

Front

What is a ratio?

Back

A ratio is a comparison of two quantities expressed as a fraction, indicating how many times one value contains or is contained within the other.

Tags

CCSS.6.RP.A.2

CCSS.6.RP.A.1

Front

How do you simplify a ratio?

Back

To simplify a ratio, 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 unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something (e.g., miles per hour).

Tags

CCSS.6.RP.A.2

CCSS.6.RP.A.1

Front

How do you convert a ratio to a fraction?

Back

To convert a ratio to a fraction, write the first term as the numerator and the second term as the denominator.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the difference between a ratio and a rate?

Back

A ratio compares two quantities, while a rate compares two quantities with different units (e.g., speed is a rate comparing distance and time).

Tags

CCSS.6.RP.A.3A

Front

How do you determine if one rate is faster than another?

Back

To determine if one rate is faster, compare the unit rates of both scenarios; the one with the higher unit rate is faster.

Tags

CCSS.6.RP.A.3B

Front

What is the simplest form of the ratio 18:3?

Back

The simplest form of the ratio 18:3 is 6:1.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If a teacher grades 25 assignments in 20 minutes, what is the rate per assignment?

Back

The rate per assignment is 1 assignment per 0.8 minutes, or 1.25 assignments per minute.

Tags

CCSS.6.RP.A.2

CCSS.6.RP.A.1

Front

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

Back

Expressing a ratio in simplest form means reducing it to the smallest whole numbers that maintain the same relationship.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you find the unit rate from a given quantity?

Back

To find the unit rate, divide the total quantity by the number of units (e.g., total inches divided by total hours).

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2