Chapter 6: TE Graphing Linear Inequalities
Overview
In this chapter, students solve linear inequalities. They use the addition and multiplication properties of inequality and learn that the direction of the inequality is sometimes reversed when solving inequalities. Students solve singlestep and multistep inequalities and progress to compound inequalities and absolute value equations and inequalities. The chapter finishes with graphing inequalities in two variables.
Suggesting Pacing:
Inequalities Using Addition and Subtraction

Inequalities Using Multiplication and Division 
1hr 
MultiStep Inequalities 
1−2hrs 
Compound Inequalities 
1−2hrs 
Absolute Value Equations 
0.5hrs 
Absolute Value Inequalities 
1hr 
Linear Inequalities in Two Variables 
0.5hr
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ProblemSolving Strand for Mathematics
Teachers can increase students’ problem solving abilities by presenting them with challenging activities.
A Sudoku warmup, used on a daily basis for a short period of time or once a week, can lead to excellent conversations on strategies. Solving problems together, students share their thinking and learn from each other. Furthermore, students can continue with Sudoku outside of class and practice various approaches.
Teachers can find Tiling Checkerboard Challenges or other thoughtprovoking brainteasers on the web and can easily differentiate them to meet the needs of students. Students can make progress with Checkerboard Tiling problems in many different ways. When asked, “Can an ordinary
Alignment with the NCTM Process Standards
Playing mathematically oriented games such as Sudoku, chess, Hex, Mudcracky, FiveInaRow, and Set can incorporate many of the NCTM process standards, particularly the Communication Standard. In a structured classroom setting, students will organize and consolidate their thinking (COM.1), communicate coherently and clearly to peers, teachers, and others (COM.2), and analyze and evaluate the thinking and strategies of others (COM.3). In addition, they will use representations to model and interpret physical phenomena (R.3). Both within and outside the classroom, students will apply and adapt a variety of appropriate strategies to solve problems (PS.3) and select and use various types of reasoning and methods of proof (RP.4).
 COM.1  Organize and consolidate their mathematical thinking through communication.
 COM.2  Communicate their mathematical thinking coherently and clearly to peers, teachers, and others.
 COM.3  Analyze and evaluate the mathematical thinking and strategies of others.
 PS.3  Apply and adapt a variety of appropriate strategies to solve problems.
 RP.4  Select and use various types of reasoning and methods of proof.
 R.3  Use representations to model and interpret physical, social, and mathematical phenomena.
Chapter Outline
 6.1. Inequalities Using Addition and Subtraction
 6.2. Inequalities Using Multiplication and Division
 6.3. MultiStep Inequalities
 6.4. Compound Inequalities
 6.5. Absolute Value Equations
 6.6. Absolute Value Inequalities
 6.7. Linear Inequalities in Two Variables