Multiple Representations

Front

What is a proportional relationship?

Back

A proportional relationship is one in which two quantities maintain a constant ratio. For example, if y = kx, where k is a constant, then y is proportional to x.

Tags

CCSS.7.RP.A.2D

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant. For example, y = mx + b (where b ≠ 0) represents a non-proportional relationship.

Tags

CCSS.7.RP.A.2D

Front

How do you determine if a table represents a proportional relationship?

Back

Check if the ratios of corresponding values are constant. If they are not, the relationship is non-proportional.

Tags

CCSS.7.RP.A.2A

Front

What is the rate of change?

Back

The rate of change is a measure of how much a quantity changes in relation to another quantity. It is often represented as the slope in a linear equation.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What does a constant slope indicate?

Back

A constant slope indicates a linear relationship, meaning the rate of change is the same throughout.

Tags

CCSS.HSF-LE.A.1B

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant factor (k) in the equation y = kx, representing the ratio of y to x.

Tags

CCSS.7.RP.A.2B

Front

How can you find the constant of proportionality from a word problem?

Back

Identify the quantities involved, determine their ratio, and simplify to find the constant.

Tags

CCSS.7.RP.A.2B

Front

What does it mean if a relationship is not proportional?

Back

It means that the relationship does not maintain a constant ratio, often indicated by a non-zero y-intercept in a linear equation.

Tags

CCSS.7.RP.A.2D

Front

What is an example of a proportional relationship in real life?

Back

An example is the relationship between distance and time when traveling at a constant speed.

Tags

CCSS.7.RP.A.2A

Front

What is an example of a non-proportional relationship?

Back

An example is the relationship between the number of items purchased and the total cost when there is a fixed delivery fee.

Tags

CCSS.7.RP.A.2D