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Algebra in Middle School Mathematics

1. Title of Course, Course Number and Credits:
Algebra in Middle School Mathematics, MAEN 500, 3 credits.

2. Description of Course:
This course provides an introduction to the basic concepts of algebra using real life and real data
applications. Topics include: real number system, solving algebraic equations and inequalities,
polynomials, exponents, radicals, rational expressions.

3. Course Prerequisites:

4. Course Objectives:
To prepare student with the basic algebraic techniques needed for higher level MAEN courses as well
preparing them to fully understand topics that they will be presenting to their students at the middle and
high school level.
To introduce some basic techniques on the TI 83 graphing calculator.

5. Student Learning Outcomes. Students will be able to:

1.Effectively express themselves in oral form through class participation, and project presentations;
communicate clearly and orderly in writing by translating a real life problem into a mathematical
which will be assessed through quizzes, exams, and projects.

2. Apply critical thinking skills and algebraic techniques to problem solving, equations, and
inequalities; graphing in order to transform raw data into information concerning real life applications;
which will be assessed through examination questions and project assignments.

3. Locate and use information in problem solving requiring geometry, algebra, and graphing
techniques. This will be assessed through examination questions and project assignments.

4. Work effectively with others on projects and homework assignments.

5. Students taking this course will be able to;
• Solve and graph linear and quadratic equations.
• Solve equations involving Polynomials, Rational and Radical Expressions.
• Factor polynomials.
• Solve and graph systems of linear equations and inequalities.
• Use the graphing calculator to graph functions.
• Applications of above topics

6. Topical Outline of the Course Content:

Chapter 1 Review of Real Numbers .5 weeks
Section 1.1-1.7 Review: Operations of Real Numbers  
Section 1.8 Properties of Real numbers  
Section 1.9 Reading Graphs  
Chapter 2 Equations, Inequalities, and Problem Solving 1.5 weeks
Section 2.1 Simplifying Algebraic Expressions  
Sections 2.2, 2.3, 2.4 Solving Linear Equations  
Sections 2.5, 2.6, 2.7 Problem Solving  
Section 2.8 Solving Linear Equations  
Chapter 3 Graphing 1.5 Weeks
Sections 3.1-3.4 Slope, Intercepts, and Graphing Linear Equations  
Sections 3.5, 3.6 Slope-Intercept and Point-Slope Forms  
Section 3.7 Functions  
Chapter 4 Solving Systems of Linear Equations and Inequalities 1,5 weeks
Sections 4.1-4.3 Solving Systems of Linear Equations by Graphing, Substitution,and Addition  
Section 4. Graphing Systems of Linear Inequalities  
Chapter 5 Exponents and Polynomials 1.5 weeks
Sections 5.1-5.4 Exponents and Operations on Polynomials  
Section 5.5 Negative Exponents and Scientific Notation  
Section 5.6 Division of Polynomials  
Chapter 6 Factoring Polynomials 2 weeks
Sections 6.1-6.4 Factoring Trinomials, Binomials, and by Grouping  
Section 6.5, 6.6 Using Factoring to Solve Quadratic Equations; Applications  
Chapter 7 Rational Expressions 2 weeks
Sections 7.1-7.4 Arithmetic of Rational Expressions  
Section 7.5 Solving Equations using Rational Expressions  
Sections 7.6, 7.7 Proportion, Variation, and Applications  
Section 7.8 Simplifying Complex Fractions  
Chapter 8 Roots and Radicals 2 weeks
Sections 8.1-8. Arithmetic of Radicals  
Section 8.5,8,6 Solving Radical Equations and Problem Solving  
Section 8.7 Rational Exponents  
Chapter 9 Solving Quadratic Equations 1 week
Sections 9.1,9.3 Square Root Method and Quadratic Equation  
Sections 9.2, 4.9.5 If time permits  

7. Guidelines/Suggestions for Teaching Methods and Student Learning Activities:
Lectures, classroom discussions and student problem solving in class.

8. Guidelines/Suggestions for Methods of Student Assessment (Student Learning Outcomes)
In Class: Weekly Quizzes, Midterm, Final.
Class Projects.

9. Suggested Reading, Texts and Objects of Study:
Beginning Algebra, by K. Elayne Martin-Gay, 4th edition, Prentice Hall.

10. Bibliography of Supportive Texts and Other Materials:
Algebra and Trigonometry, by Swokowski/Cole, 9th
TI calculator

11. Preparer’s Name and Date:
Dr. Diane Kalish, Spring, 2001.

12. Original Department Approval Date: Fall 1979