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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,

3. Course Prerequisites:
None

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
model,
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