### Rates of Change

Learn how to solve problems involving rates of change.

Grades 8 through 9 Material from CK-12

#### Why Use This Content?

See when students have begun their work. Or not.

#### Standards

##### 8.EE.B.5

Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance?time graph to a distance?time equation to determine which of two moving objects has greater speed.

##### 8.EE.B.6

Use similar triangles to explain why the slope m is the same between any two distinct points on a non?vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.

##### 8.F.B.4

Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.