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FLORIDA Pre-Algebra Teacher’s Guide Vol. A

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Use this guide to accompany Lesson 4.06, Semester A. Representations of Linear Models LESSON GOALS • Represent a real-world situation as an equation in slope-intercept form, given information in a table or graph. • Represent a real-world situation as an equation in point-slope form, given information in a table or graph. • Represent a real-world situation as an equation in standard form, given information in a table or graph. 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. PACING One class period, approximately 60 minutes CONTENT BACKGROUND Students have been writing linear equations in slope-intercept, point-slope, and standard forms given the slope and a point on the graph of the equation or two points on the graph of the equation. The problems that students have solved included linear equations and graphs without contexts. In this lesson, students have the opportunity to apply what they have learned as they write linear equations to represent real-world situations. The slope in one of these equations is the constant rate of change in the situation. The y-intercept is the initial value of the dependent variable in the situation before any time has elapsed. The ordered pairs for points on the graph represent corresponding data items, such as a certain time and a certain distance. MATERIALS • Reference Guide pages 166–169 • practice activity Book pages 128–134 • overview and Toolkit presentations KEYWORDS Keywords, such as initial value, linear equation, and rate of change, are hyperlinked throughout the lesson for students to preview. REpRESEnTaTIonS of LInEaR ModELS 215

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