DataWORKS Educational Research

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DataWORKS Educational Research Algebra 1 9.0 (5Q) Students solve a system of two linear equations in two variables algebraically and are able to interpret the answer graphically. Students are able to solve a system of two linear inequalities in two variables and sketch the solution sets. Lesson to be used by EDI-trained teachers only. DataWORKS Educational Research (800) 495-1550 • www.dataworks-ed.com ©2011 All rights reserved. Comments? feedback@dataworks-ed.com

Inequality Symbols and Meanings: Learning Objective Today, we will solve systems of linear inequalities by graphing. What are we going to do today? ≤ and ≥ < and > Inequality Symbols and Meanings: Activate (or provide) Prior Knowledge A linear inequality compares expressions with an inequality symbol and contains numbers and variables raised to the first power only. y = mx + b Slope-intercept form slope y-intercept Determine the slope and y-intercept of the inequalities. y < x + 2 y ≤ -x + 2 1. 2. Slope (m): 1 Slope(m): -1 y- intercept(b): 2 y- intercept(b): 2 Graph the ordered pair to verify whether it is a solution to the inequality. y < x + 2 3. y ≤ -x + 2 4. (-2,5) (0,0) y < x + 2 y ≤ -x + 2 (5) < (-2) + 2 (0) ≤ -(0) + 2 5 < -2 + 2 False 0 ≤ 0 + 2 5 < 0 True 0 ≤ 2 Students, you already know how to determine the slope and y-intercept of a linear inequality and verify whether an ordered pair is a solution to a linear inequality. Today, we are going to graph linear inequalities using the slope and y-intercept to and verify ordered pairs in order to solve systems of linear inequalities.

Inequality Symbols and Meanings:

Inequality Symbols and Meanings: Algebra 1 9.0 (5Q) Students solve a system of two linear equations in two variables algebraically and are able to interpret the answer graphically. Students are able to solve a system of two linear inequalities in two variables and sketch the solution sets. Lesson to be used by EDI-trained teachers only. DataWORKS Educational Research (800) 495-1550 • www.dataworks-ed.com ©2011 All rights reserved. Comments? feedback@dataworks-ed.com

Inequality Symbols and Meanings:

1. In your own words, how do you graph a linear inequalities? 2. What did you learn today about graphing linear inequalities? Why is that important to you?