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FLORIDA Pre-Algebra Teacher’s Guide Vol. A

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LESSON GOALS • Find the slope of a line using a graph, a table, and an equation. • explain why any two points on a line can be used to find its slope. FLORIDA STANDARDS • MAFS.8.EE.2.6 Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b. PACING One class period, approximately 60 minutes CONTENT BACKGROUND In this lesson, students learn how to find slope using a graph, a table and a formula. They will draw upon their prior knowledge of writing ratios and dividing to find a rate. Their understanding of x- and y-coordinates will be expanded and applied to understanding rise (vertical change, or change in y) and run (horizontal change, or change in x). They will learn that slope is the ratio of rise to run, and that the slope of a line is the same at all points on a line. MATERIALS • Reference Guide pages 106 –109 • Practice Activity Book pages 77–83 • Overview and Toolkit presentations KEYWORDS Students can preview definitions of keywords hyperlinked throughout the lesson. • hypotenuse • leg of a right triangle • rate of change • right triangle • rise • run • slope Slope Use this guide to accompany Lesson 3.05, Semester A. 148 SlOPe

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