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FLORIDA Pre-Algebra Teacher’s Guide Vol. A

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Use this guide to accompany Lesson 6.06, Semester A. Linear Function Equations and Rate of Change LESSON GOALS • Write the equation of a linear function and determine the rate of change of the function using a point on the line and the slope of the line. • Write the equation of a linear function and determine the rate of change of the function using two points on the line. 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). PACING One class period, approximately 60 minutes CONTENT BACKGROUND Lessons 6.06 and 6.07 work together to introduce students to linear function equations and rate of change. In Lesson 6.06, students learn to find the rate of change for a function and write an equation for the function given two points or the slope and a point. With two points, students can substitute the x- and y-values into the slope formula to calculate the rate of change. They can use the slope, whether given or calculated, and a point to find the y-intercept and the equation for the function by using the point-slope form of the linear function, y – y 1 = m(x – x 1 ). They substitute the given point for (x 1 , y 1 ) and MATERIALS • reference guide pages 222–227 • Practice activity Book pages 201–205 • overview and Toolkit presentations KEYWORDS Students can preview definitions of keywords hyperlinked throughout the lesson. • linear function • point-slope form • rate of change • slope • slope-intercept form 296 LInear FUncTIon eqUaTIonS anD r aTe oF change

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