##### Elementary Algebra

**I. Course Prefix/Number: **MAT 070

** Course Name: **Elementary Algebra

** Credits: **4 (4 lecture; 0 lab)

**II. Prerequisite **

MAT 060 or appropriate score on Mathematics Placement Test.

**III. Course (Catalog) Description **

Course prepares students for an intermediate algebra course by covering the fundamental concepts, operations, and applications of basic algebra. Algebraic topics include linear equations and inequalities, polynomial operations, graphing equations and inequalities in two variables, and systems of equations. Course objectives will be achieved using computer-assisted learning, group discussions, and individual tutoring.

**IV. Learning Objectives **

**Module 6 Objectives:**

Solve and graph first degree equations in one variable.

Solve formulas for specific variables.

Solve applied problems involving first degree equations in one variable.

Solving and graph first degree inequalities in one variable.

**Module 7 Objectives:**

Simplify expressions using the laws of exponents.

Calculate using Scientific Notation.

Perform addition and subtraction of polynomials.

Perform multiplication of polynomials including some special products.

Perform division of a polynomial by a monomial.

**Module 8 Objectives:**

Factor out the greatest common factor from a polynomial.

Factor trinomials successfully.

Factor polynomials using the difference of squares.

Solve quadratic equations by factoring.

**Module 9 Objectives:**

Solve and graph first degree equations in two variables.

Calculate slope and intercepts of linear equations in two variables.

Solve applied problems involving slope.

Solve and graph first degree inequalities in two variables.

**Module 10 Objectives:**

Recognize and apply concepts involved pertaining to functions.

Solve problems involving direct and indirect variation sucessfully.

Solve systems of two equations using Graphing, Substitution, and Addition methods.

Recognize and apply concepts regarding applied problems involving systems of two equations.

**V. Academic Integrity **

Students and employees at Oakton Community College are required to demonstrate academic integrity
and follow Oakton's Code of Academic Conduct. This code prohibits:

• cheating,

• plagiarism (turning in work not written by you, or lacking proper citation),

• falsification and fabrication (lying or distorting the truth),

• helping others to cheat,

• unauthorized changes on official documents,

• pretending to be someone else or having someone else pretend to be you,

• making or accepting bribes, special favors, or threats, and

• any other behavior that violates academic integrity.

There are serious consequences to violations of the academic integrity policy. Oakton's policies and procedures provide students a fair hearing if a complaint is made against you. If you are found to have violated the policy, the minimum penalty is failure on the assignment and, a disciplinary record will be established and kept on file in the office of the Vice President for Student Affairs for a period of 3 years.

Details of the Code of Academic Conduct can be found in the Student Handbook.

• cheating,

• plagiarism (turning in work not written by you, or lacking proper citation),

• falsification and fabrication (lying or distorting the truth),

• helping others to cheat,

• unauthorized changes on official documents,

• pretending to be someone else or having someone else pretend to be you,

• making or accepting bribes, special favors, or threats, and

• any other behavior that violates academic integrity.

There are serious consequences to violations of the academic integrity policy. Oakton's policies and procedures provide students a fair hearing if a complaint is made against you. If you are found to have violated the policy, the minimum penalty is failure on the assignment and, a disciplinary record will be established and kept on file in the office of the Vice President for Student Affairs for a period of 3 years.

Details of the Code of Academic Conduct can be found in the Student Handbook.

**VI. Sequence of Topics **

**Module 6: Linear Equations and Inequalities in One Variable**

2.1 The Addition Property of Equality

2.2 The Multiplication Property of Equality

2.3 Further Solving Linear Equations

2.4 Problem Solving

2.5 Formulas and Problem Solving

2.6 Percent and Mixture Problem Solving

2.7 Solving Linear Inequalities

**Module 7: Polynomials**

3.1 Exponents

3.2 Negative Exponents and Scientific Notation

3.3 Introduction to Polynomials

3.4 Adding and Subtracting Polynomials

3.5 Multiplying Polynomials

3.6 Special Products

3.7 Dividing Polynomials with Monomials

**Module 8: Factoring Polynomials**

4.1 The Greatest Common Factor

4.2, 4.3, 4.4 Factoring Trinomials

4.5 Factoring Perfect Square Trinomials and the Difference of Two Squares

4.6 Solving Quadratic Equations by Factoring

**Module 9: Graphing Equations and Inequalities in Two Variables**

6.1 Reading Graphs and the Rectangular Coordinate System

6.2 Graphing Linear Equations In Two Variables

6.3 Intercepts

6.4 Slope and Rate of Change

6.5 Equations of Lines

6.7 Graphing Linear Inequalities in Two Variables

**Module 10: Functions, Direct and Indirect Variation, and Systems of Equations**

6.6 Introduction to Functions

6.8 Direct and Indirect Variation

7.1 Solving Systems of Linear Equations by Graphing

7.2 Solving Systems of Linear Equations by Substitution

7.3 Solving Systems of Linear Equations by Addition

7.4 Systems of Linear Equations and Problem Solving

**VII. Methods of Instruction **

Methods of instruction include one-on-one and/or small group discussion, and required website ancillaries. Calculators/computers will be used.

Course may be taught as face-to-face, media-based, hybrid or online course.

Course may be taught as face-to-face, media-based, hybrid or online course.

**VIII. Course Practices Required **

This course will be taught by a classroom instructor with the use of an interactive computer website. Course participants must attend scheduled class hours as well as one computer lab hour per week. Students may be dropped from the course if they miss more than three class sessions or three lab hours.

Each of the first four modules must be completed with the minimal post-test score as prescribed by the department to proceed to the final module for the course. All course work must be completed in a notebook.

Students may complete a course at any time during the semester. Upon completion of a course, the student can start the next sequential course. A new access code must be purchased at that time. If all modules of a course are not successfully completed within a semester, the student can re-enroll in the same course the following semester beginning with their first uncompleted module.

Each of the first four modules must be completed with the minimal post-test score as prescribed by the department to proceed to the final module for the course. All course work must be completed in a notebook.

Students may complete a course at any time during the semester. Upon completion of a course, the student can start the next sequential course. A new access code must be purchased at that time. If all modules of a course are not successfully completed within a semester, the student can re-enroll in the same course the following semester beginning with their first uncompleted module.

**IX. Instructional Materials **

**Note:**Current textbook information for each course and section is available on Oakton's Schedule of Classes.

Within the Schedule of Classes, textbooks can be found by clicking on an individual course section and looking for the words "View Book Information".

Textbooks can also be found at our Mathematics Textbooks page.

A scientific calculator, notebook, and earphones are required.

**X. Methods of Evaluating Student Progress **

As determined by department and individual instructor.

**XI. Other Course Information **

If you have a documented learning, psychological, or physical disability you may be entitled to reasonable academic accommodations or services. To request accommodations or services, contact the Access and Disability Resource Center at the Des Plaines or Skokie campus. All students are expected to fulfill essential course requirements. The College will not waive any essential skill or requirement of a course or degree program.