Lassen Community College Course Outline MATH-103 Elementary Algebra 4.0 Units I. Catalog Description Introduction to algebra of real numbers, algebraic expressions, linear equations, exponents, polynomials, factoring, rational expressions and equations, graphing, inequalities, systems of equations, roots and radicals, quadratic equations, and applications. This course has been approved for online and correspondence delivery. This course has been approved to be web-enhanced. Access to a computer with internet access is required. Prerequisite(s): Math 102 Basic College Math. Prerequisite Skills: Before entering this course the student will be able to: 1. Analyze and solve problems involving measurement of time, length, area, volumes, weights and capacities in metric and English system of units. 2. Define the basic geometric terms and apply them to problems involving angles, rectangles, squares, parallelograms, trapezoids and circles. 3. Illustrate the application of the rules of algebra to the evaluation of algebraic expressions and the solution of algebraic equations. 4. Display an understanding of the descriptive tools of statistics, including the circle graph, bar graph, frequency distribution, histogram, and determine mean, median and mode. Recommended Preparation: Successful completion of ENGL105 or equivalent assessment placement Does not transfer to UC/CSU 51 Hours Lecture, 51 Hours Lab Scheduled: Fall, Spring II. III. Coding Information Repeatability: Not Repeatable, Take 1 Time Grading Option: Graded or Pass/No Pass Credit Type: Basic Skills TOP Code: 170100 Course Objectives A. Course Student Learning Outcomes Upon completion of this course the student will be able to: 1. Simplify and evaluate polynomial, rational and radical expressions by applying the order of operation rules, the rules of exponents, and appropriate properties of algebra. 2. Simplify, solve, graph and verify solutions of linear equations and inequalities, quadratic equations, and rational equations using the appropriate mathematical computational skills and properties of algebra. B. Course Objectives Upon completion of this course the student will be able to: MATH-103 Elementary Algebra Page 1
1. Simplify and evaluate algebraic expressions of real numbers with application of the order of operations. 2. Solve linear equations and inequalities. 3. Evaluate and graph linear equations in two variables, calculate slope of a line. 4. Perform operations on polynomials, and simplify expressions using the rules of exponents, and convert to and from scientific notation. 5. Factor polynomials, and use factoring to solve equations and application problems. 6. Add, subtract, multiply, divide, and simplify simple, and complex rational (fractional) expressions; solve equations involving rational expressions. 7. Graph points, linear equations, linear inequalities and functions. 8. Manipulate and evaluate roots and radicals using addition, subtraction, multiplication, and division. 9. Solve quadratic equations by factoring and by applying the quadratic formula. 10. Apply algebraic methods to the solution of application problems of various types, including percent, mixtures, rates, and measurement. IV. Course Content A. Algebraic Expressions. 1. Real Numbers 2. Variables, expressions, and equations 3. The number line 4. Operations with real numbers 5. Properties of the real numbers 6. Simplifying and evaluating algebraic expressions B. Linear equations and inequalities in one variable. 1. Addition and multiplication properties of equality 2. Solving linear equations 3. Applications of linear equations 4. Formulas and applications from geometry 5. Ratio and proportions 6. Addition and Multiplication properties of inequality C. Linear equations in two variables. 1. Linear equations in two variables 2. Graphing linear equations in two variables 3. Slope of a line D. Polynomials and exponents. 1. Addition and sbutraction of polynomials; graphing simple polynomials 2. The product rule and power rules for exponents 3. Multiplication of polynomials 4. Special products 5. Integer exponents and the quotient rule 6. Division of polynomials 7. Scientific notation E. Factoring and applications 1. The greatest common factor; factoring by grouping 2. Factoring trinomials 3. More on Factoring Trinomials 4. Special factoring rules MATH-103 Elementary Algebra Page 2
5. Solving quadratic equations by factoring 6. Applications of quadratic equations 7. Solving quadratic inequalities F. Rational expressions 1. Fundamental Property of Rational Expressions 2. Multiplication and division of rational expressions 3. Least common denominator 4. Addition and subtraction of rational expressions 5. Complex fractions 6. Solving equations involving rational expressions G. Equations of lines, inequalities, and functions 1. Equations of lines 2. Graphing linear inequalities in two variables 3. Functions H. Roots and radicals 1. Evaluating roots 2. Multiplication and divsion of radicals 3. Addition and subtraction of radicals V. Assignments A. Appropriate Readings Students will be required to read and study the assigned chapters in the text book. B. Writing Assignments Short answer homework questions are found throughout the textbook assignments. May include math lab assignments. C. Expected Outside Assignments Students can be expected to spend a minimum of two hours outside of class in practice and preparation for each hour of class. Appropriate outside assignments include: reading assignments, practice problems, and applying formulas. May include assignments in the math laboratory. D. Specific Assignments that Demonstrate Critical Thinking Students will be required to interpret mathematics principles and techniques to solve broader and more difficult problems than those presented in class. Students will solve a variety of problems, including those that demand the application of principles in a number of different contexts. VI. Methods of Evaluation Traditional Delivery Multiple measures of student performance, including in-class work, out-of-class work, multiple quizzes, exams, and a comprehensive final. Web-enhanced course Additional information and resources may be made available to students online, and students may be required to do research and complete and/or submit assignments online. Quizzes may be administered online, but exams and summative assessments must be administered face-to-face. Online Delivery MATH-103 Elementary Algebra Page 3
A variety of methods will be used, such as: research papers, asynchronous and synchronous discussions (chat/forum), online quizzes and exams, postings to online website, and email communications. Correspondence Delivery Same as face-to-face with the exception of the desired use of proctored exams and exclusion of participation in classroom activities. Students will be expected to complete assignments and activities equivalent to in-class assignments and activities. Written correspondence and a minimum of six opportunities for feedback will be utilized to maintain effective communication between instructor and student. VII. Methods of Delivery Check those delivery methods for which, this course has been separately approved by the Curriculum/Academic Standards Committee. Traditional Classroom Delivery Web-enhance course Hybrid Delivery Online Delivery Correspondence Delivery Traditional Delivery Classroom instruction consisting of lecture, question and answer, demonstration work and discussion. Online Delivery Online written lectures. Participation in forum-based discussions. Online exercises/assignments contained on website. Discussion papers, email communications, postings to forums, and web-links will comprise the method of instruction. Correspondence Delivery Assigned readings, instructor-generated typed handouts, typed lecture materials, exercises and assignments equal to face-to-face instructional delivery. Written correspondence and a minimum of six opportunities for feedback will be utilized to maintain effective communication between instructor and student. VIII. Representative Texts and Supplies Traditional Classroom & Correspondence Delivery Required : Lial, et. al., Beginning Algebra, 2008, 10th edition, Pearson Publishing, ISBN: 9780321437266 Web-enhanced and Online Delivery Required MyMathLab access code, ISBN: 9780321199911 may be required. MyMathLab access code provides the student with access to the latest edition e-book for the class, Beginning Algebra, current edition, Lial, et. al., Pearson Publishing. Optionally : The clothbound Textbook and access code as a package ISBN 9780321760142. The clothbound textbook alone is ISBN: 9780321673480 IX. Discipline/s Assignment MATH-103 Elementary Algebra Page 4
Mathematics X. Course Status Current Status: Active Original Approval Date: 11/05/2013 Board Approval Date: 11/12/2013 Chancellors Approval Date: 12/04/2013 Revised By: Natalia McClellan Curriculum/Academic Standards Committee Revision Date: 05/01/2018 MATH-103 Elementary Algebra Page 5