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FLORIDA Pre-Algebra Teacher’s Guide Vol. A

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Use this guide to accompany Lesson 6.08, Semester A. Identify Linear Models LESSON GOALS • determine whether a function is linear or nonlinear using a graph. • determine whether a function is linear or nonlinear using a table. • determine whether a function is linear or nonlinear using an equation. FLORIDA STANDARDS • MAFS.8.F.2.4 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. • MAFS.8.F.1.2 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). • Also MAFS.8.SP.1.2 PACING One class period, approximately 60 minutes CONTENT BACKGROUND In previous lessons, students have focused on equations that represent linear functions. Using an equation, however, is only one way to model a function. In this lesson, students consider how graphs and tables of ordered pairs can also represent functions. Then they learn how to determine whether a function is linear or nonlinear by studying graphs, tables, and equations. This work prepares them for lesson 6.09, in which they will compare functions that are represented by different types of model. MATERIALS • reference Guide pages 234–235 • Practice activity Book pages 215–222 • overview and Toolkit presentations KEYWORDS Students can preview definitions of keywords hyperlinked throughout the lesson. • linear function • nonlinear function 308 IdenTIfy LInear ModeLS

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