Construct a function to model a linear relationship between two quantities

Start lessonBegins with Constructing linear functions · Slides

Teacher tools for this standard

Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
Guided Notes →One page your students fill in and keep.
Exit Ticket →Three items at the end of class. No student accounts.
Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
Homework →Assign practice; it grades itself.

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.

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.

What you'll learn

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")

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