Lesson Plan

Determine the rate of change (slope) of a linear function from a verbal description, a table of values, a graph, or two given points

Determine the initial value (y-intercept) of a linear function from a verbal description, a table, a graph, or by substituting a known point into y = mx + b

Construct the equation y = mx + b to model a linear relationship when given information in any representation (verbal, tabular, graphical, or as coordinate pairs)

Interpret the rate of change in terms of the real-world situation the function models (e.g., "For each additional hour, the cost increases by $15")

Interpret the initial value in terms of the real-world situation the function models (e.g., "When zero hours have passed, the starting balance is $200")

8.F.B.4

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.