FLORIDA Pre-Algebra Teacher’s Guide Vol. A

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Page 162 of 390

Use this guide to accompany Lesson 3.02, Semester A. Equations in Two Variables LESSON GOALS • Determine whether an ordered pair is a solution to an equation in two variables. • Make a table of ordered pairs to graph a line. 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 previous lessons, students have found solutions to equations in one variable. In Lessons 3.02 and 3.03, they learn about equations in two variables. In Lesson 3.02, students learn that a solution to an equation is an ordered pair: one value for x and one value for y. Because a linear equation in two variables represents a line that extends indefinitely, an equation has multiple solutions. Students learn how to use substitution to determine whether an ordered pair (x, y) is a solution to a given equation. When solving the equation using the ordered pair results in an identity (e.g., 8 = 8), the values used for x and y represent a solution to the equation. Students also practice using an equation to find a table of ordered pairs that can be graphed on the coordinate plane. In Lesson 3.03, students learn to write an equation in standard form (Ax + By = C) by using properties of equality. They learn about x-intercepts and y-intercepts, and how to graph a line based on its intercepts. KEYWORDS students can preview definitions of keywords hyperlinked throughout the lesson. • identity • linear equation • ordered pair • solution of an equation with two variables • substitution property of equality MATERIALS • Reference Guide pages 92–95 • Practice Activity book pages 61–63 • Overview and toolkit presentations EquAtIOns In t WO VARIAblEs 127

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