Representing Proportional Relationships

Front

What does the constant of proportionality (k) represent in a proportional relationship?

Back

The constant of proportionality (k) represents the ratio between two proportional quantities, indicating how one quantity changes in relation to another.

Tags

CCSS.7.RP.A.2B

Front

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

Back

A table represents a proportional relationship if the ratio of the values in one column to the values in another column is constant.

Tags

CCSS.7.RP.A.2A

Front

What is the first step to simplify a fraction?

Back

The first step to simplify a fraction is to find the greatest common divisor (GCD) of the numerator and denominator.

Front

What does it mean to put a fraction in simplest form?

Back

Putting a fraction in simplest form means reducing it so that the numerator and denominator have no common factors other than 1.

Front

If k = 60 in a proportional relationship, what does this imply about the relationship?

Back

If k = 60, it implies that for every unit increase in one quantity, the other quantity increases by 60 units.

Tags

CCSS.7.RP.A.2B

Front

What is the relationship between proportional relationships and linear equations?

Back

Proportional relationships can be represented by linear equations of the form y = kx, where k is the constant of proportionality.

Tags

CCSS.7.RP.A.2C

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship can be identified from a graph if the line passes through the origin (0,0) and is straight.

Tags

CCSS.7.RP.A.2D

Front

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

Back

The origin (0,0) signifies that when one quantity is zero, the other quantity is also zero, which is a key characteristic of proportional relationships.

Tags

CCSS.7.RP.A.2D

Front

What is an example of a real-world situation that can be modeled by a proportional relationship?

Back

An example is the relationship between distance and time when traveling at a constant speed; as time increases, distance increases proportionally.

Tags

CCSS.7.RP.A.2D

Front

How do you find the missing value in a proportional relationship?

Back

To find the missing value, set up a proportion using the known values and solve for the unknown.

Tags

CCSS.7.RP.A.2C