LESSON PLAN

MATH 514

Nancy Berkley

Nancy Chewning

Jack Kaniecki

Title of Lesson: Solving Compound Inequalities

Objective: To solve compound inequalities graphically and Algebraically.

                 To write solutions in set notation.

                 To use the graphing calculator to solve or verify solutions.

                  To understand the concepts necessary for solving absolute

                  value inequalities.

Correlating SOL: Algebra 2 SOL Objective 4: The student will solve absolute value equations and inequalities graphically and algebraically. The graphing calculator will be used as a primary method of solution and to verify algebraic solutions.

INSTRUCTIONS FOR IMPLEMENTING THE LESSON

Background Knowledge: How to solve inequalities in one variable

                                       How to graph inequalities on a number line.

                                       How to access functions on a graphing calculator.

Introductory Material: Worksheet on Sets and Venn diagrams, Review of Intersection and Union of Sets, the use of AND/OR connectors, and the terms DISJUNCTION and CONJUNCTION

Lesson Goals:  Solve each part of the compound inequality sentence.

                       Graph each individual solution..

                        Determine a solution to the compound sentence by reflecting the appropriate union or intersection of the two sets.

                        Graph the solution and write in set notation.

Materials Needed:  Fill in the blank Notes/Worksheets to record concepts that are formulated by the teacher and students together.

Assessment:  Worksheet of 9 problems that reflect the goals of the lessons.

Vocabulary: Venn Diagrams        Intersection

                    Union                       Disjunction

                    Conjunction              Disjoint

                    Subsets

Technology: Graphing Calculator instructions and guided practice in solving/verifying solution to compound inequalities.

                    Teacher directed examples

                    Matching Activity that incorporates use of the calculator to find solutions.

                    Overhead Projector.

 

 

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JMU Home       

James Madison University
Department of Mathematics and Statistics
540-568-6184
fitzgewj@jmu.edu
www.math.jmu.edu 
Dr. Jeanne Fitzgerald
Associate Professor of Mathematics

Department of Mathematics & Statistics
James Madison University
Harrisonburg, VA 22807  

email: fitzgewj@jmu.edu  
Telephone: 540-568-3802
 

 

 

 

This page was last updated 07/05/2007