Proportional / Nonproportional Relationships

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how many units of one quantity correspond to one unit of another quantity.

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 of one item by the quantity of another item, ensuring the denominator is 1.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does it mean for a relationship to be proportional?

Back

A relationship is proportional if two quantities maintain a constant ratio or rate. This means that as one quantity increases or decreases, the other does so in a consistent manner.

Tags

CCSS.7.RP.A.2A

Front

What is the formula for finding the slope of a line?

Back

The slope (m) of a line is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Tags

CCSS.8.EE.B.5

Front

What is the significance of the slope in a proportional relationship?

Back

In a proportional relationship, the slope represents the constant rate of change between the two quantities, indicating how much one quantity changes for a unit change in the other.

Tags

CCSS.8.EE.B.5

Front

How can you determine if a table of values represents a proportional relationship?

Back

A table of values represents a proportional relationship if the ratios of corresponding values are constant.

Tags

CCSS.7.RP.A.2A

Front

What is the relationship between unit rates and proportional relationships?

Back

Unit rates are often used to identify proportional relationships, as they provide a way to compare quantities on a per-unit basis.

Tags

CCSS.7.RP.A.2C

Front

What is an example of a nonproportional relationship?

Back

An example of a nonproportional relationship is when the cost of items does not increase at a constant rate, such as a bulk discount where the price per item decreases as more items are purchased.

Tags

CCSS.7.RP.A.2A

Front

How can you identify a nonproportional relationship from a graph?

Back

A nonproportional relationship can be identified from a graph if the line is not straight or does not pass through the origin.

Tags

CCSS.7.RP.A.2D

Front

What is the unit rate for 408 words in 4 minutes?

Back

The unit rate is 102 words per minute.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2