Multiple Representations

Front

What is a proportional relationship?

Back

A proportional relationship is one in which two quantities maintain a constant ratio or rate. 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. This often includes a constant added or subtracted value.

Tags

CCSS.7.RP.A.2D

Front

How can you identify a proportional relationship from an equation?

Back

If the equation can be expressed in the form y = kx (where k is a constant), it represents a proportional relationship. If there is an added or subtracted constant, it is non-proportional.

Tags

CCSS.7.RP.A.2C

Front

What does the constant of proportionality represent?

Back

The constant of proportionality is the constant factor (k) that relates two proportional quantities. It indicates how much one quantity changes in relation to another.

Tags

CCSS.7.RP.A.2B

Front

How do you find the constant of proportionality from a table?

Back

To find the constant of proportionality from a table, divide the values of one quantity by the corresponding values of the other quantity. If the result is constant, the relationship is proportional.

Tags

CCSS.7.RP.A.2B

Front

What does a point (x, y) on a graph represent?

Back

A point (x, y) on a graph represents the relationship between the two quantities, where x is the independent variable and y is the dependent variable.

Tags

CCSS.HSF.IF.A.1

Front

What is the meaning of the slope in a graph?

Back

The slope of a graph represents the rate of change between the two variables. It indicates how much y changes for a unit change in x.

Tags

CCSS.8.EE.B.5

Front

How can you determine if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0).

Tags

CCSS.7.RP.A.2D

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept is the point where the graph crosses the y-axis. In a proportional relationship, the y-intercept is always zero.

Tags

CCSS.HSF-IF.C.7A

Front

What does it mean if a graph is not linear?

Back

If a graph is not linear, it indicates a non-proportional relationship, where the rate of change between the variables is not constant.

Tags

CCSS.8.F.A.3