Requisite Approval must be attached CITRUS COMMUNITY COLLEGE DISTRICT DEPARTMENT Mathematics COURSE NUMBER MATH 150 TITLE Intermediate Algebra THIS COURSE IS CLASSIFIED AS: DEGREE APPLICABLE UNIT VALUE 5 LECTURE HOURS PER WEEK BASED ON 18 WEEK SEMESTER 5 ENTRANCE SKILLS, PREREQUISITES, OR CO-REQUISITES Prerequisite: MATH 129 or 130. CATALOG COURSE DESCRIPTION Real number properties, first degree equations and inequalities, absolute value equations and inequalities, applications, polynomials, the binomial theorem, factoring, rational expressions, exponents, radicals, complex numbers, quadratic equations, applications, formulas, linear equations and inequalities, variation, functions, linear systems, conics, inverse functions, exponential, and logarithmic functions. Five hours lecture per week. NOTE: THIS COURSE MAY NOT BE TAKEN CONCURRENTLY WITH EITHER MATH 148 OR 149. STUDENTS MAY NOT EARN MORE THAN A TOTAL OF FIVE UNITS IN ANY COMBINATION OF MATH 148, 149 AND 150. CLASS SCHEDULE COURSE DESCRIPTION Real numbers, linear equations and inequalities, polynomials, binomial theorem, rations expressions, exponents, radicals, complex numbers, quadratic equations, the line, variation, functions, systems, conics, exponential, and logarithmic functions. NOTE: THIS COURSE MAY NOT BE TAKEN CONCURRENTLY WITH EITHER MATH 148 OR 149. STUDENTS MAY NOT EARN MORE THAN A TOTAL OF FIVE UNITS IN ANY COMBINATION OF MATH 148, 149 AND 150.
MATH 150 Intermediate Algebra Page 2 COURSE OBJECTIVES/STUDENT LEARNING OUTCOMES After passing the class with grade C or better, the student should be able to use proper mathematical notation and vocabulary and incorporate the properties of real numbers and complex numbers to perform the following: Communication, Computation, Creative, Critical, and Analytical Thinking 1. simplify algebraic expressions by applying properties of real numbers, rules of exponents, and rules of radicals to write the expressions in the simplest standard forms 2. solve and check solutions of linear equations and inequalities, and special equations such as absolute value, rational, radical, exponential, and logarithmic equations by applying equality properties and simplification rules to solve application problems 3. solve and check solutions of systems of two and three linear equations using algebraic methods, matrices, and determinants, to solve applied problems having two or three unknowns 4. solve quadratic equations by applying factoring techniques, the square root property, completing the square and the quadratic formula to solve free-fall problems 5. perform operations of addition, subtraction, multiplication, and division on polynomials, rational expressions, radical expressions, and complex numbers to simplify expressions and write them in standard forms 6. demonstrate an understanding of linear, nonlinear and inverse functions, and conic sections to find their domains and ranges and to graph them in the rectangular coordinate system by using the most appropriate method 7. given information about the slope, points on a line, and the relationship of the line with other lines, demonstrate the ability to write the equation of that line 8. solve applied problems by applying a systematic problem-solving approach and utilizing linear equations in one variable, variation, quadratic equations, rational equations, and systems of two and three linear equations 9. completely factor polynomials by applying the appropriate types of
MATH 150 Intermediate Algebra Page 3 Technology factoring, including greatest common factors, grouping, difference of squares, sum and difference of cubes, trinomials, and combinations of these methods to simplify expressions and solve equations 10. formulate conclusions based on interpretations and analysis of functions and their graphs to make generalizations about the function s behavior 1. demonstrate an understanding of the basic functions and keystroke sequences of a scientific calculator by evaluating expressions, and by finding radical, exponential, and logarithmic function values Community, Global Consciousness and Responsibility 1. develop effective strategies to collaboratively work with others to complete designated assignment in a timely, efficient manner by completing activities in small groups 2. prioritize activities by developing habitual study strategies designated to reduce anxiety and stress REQUIRED TEXTS AND MATERIALS Intermediate Algebra, Lial/Hornsby/McGinnis, 2004 The reading for this course is: PRIMARILY COLLEGE LEVEL COURSE CONTENT I. Real Numbers: Properties and Fundamental Operations II. III. IV. First-Degree Equations and Inequalities and Applications Absolute Value Equations and Inequalities Rules of Exponents V. Polynomials: Fundamental Operations (Including Binomial Theorem) and Factoring
MATH 150 Intermediate Algebra Page 4 VI. VII. VIII. IX. Rational Expressions: Fundamental Operations and Equations Rational Exponents and Radical Expressions Equations with Radicals Complex Numbers X. Quadratic Equations: Variety of Techniques for Solving and Applications XI. XII. XIII. XIV. XV. XVI. Linear Equations and Inequalities and Related Graphs Variation Functions and Inverse Functions Linear Systems of Equations and Applications Conic Sections Exponential and Logarithmic Functions, Equations and Applications METHODS OF INSTRUCTION (methods may vary by instructor) Lectures Mini lectures Media/technology presentations Comparison/contrast analyses Models and demonstrations Collaborative assignments In-class readings Inquiry strategies Problem-solving evaluations In-class worksheets METHODS OF ASSESSMENT (methods may vary by instructor) Final evaluations will be made using classroom activities such as worksheets, supervised discussions and inquiries, item and error analysis of student solutions, homework assignments, objective-based quizzes and tests (in both hardcopy and electronic form), and group/individual projects and presentations to determine student success meeting course skills, knowledge, and concepts.
MATH 150 Intermediate Algebra Page 5 A course grade may not be based solely on attendance. Revised & Classified: October, 1990 Revised: March, 1993 Revised: May, 1993 Revised: November, 1993 Revised: March, 1994 Revised: March, 1995 Revised: March, 1996 Revised: April, 1998 Revised: February, 1999 Revised: April, 2000 Revised: September, 2005
REQUISITE APPROVAL The Requisite Approval form must be completed for any course that carries a prerequisite, corequisite, or limitation on enrollment as indicated on the Course Approval form. Department: Mathematics Course number: MATH 150 Title: Intermediate Algebra I. RECOMMENDED REQUISITE(S): Prerequisite: MATH 129 or 130. II. TYPE OF REQUISITE AND THE APPROPRIATE LEVEL OF SCRUTINY. CIRCLE THE APPROPRIATE LETTER: B. SEQUENTIAL/CONCURRENT Include in the content review a comparison of the skills, concepts and information taught in the first or concurrent course to those required at entrance for success in the second course. III. CONTENT REVIEW. FACULTY SHOULD BASE CONTENT REVIEW ON THE SYLLABUS AND OUTLINE OF RECORD, TESTS, RELATED INSTRUCTIONAL MATERIALS, TESTS, AND GRADING CRITERIA. CHECK THE APPROPRIATE BOX TO INDICATE THAT THE CONTENT REVIEW HAS BEEN COMPLETED: For courses to be used as requisites or advisories, compare the knowledge and/or skills needed at entry with those taught in the requisite, concurrent, or advisory course. A. LIST THE SPECIFIC SKILLS, CONCEPTS AND INFORMATION REQUIRED FOR SUCCESS IN THE COURSE: 1. Simplify Introductory Algebra level algebraic expressions by applying properties of real numbers, rules of exponents, and rules of radical to write the expressions in the simplest standard forms. 2. Solve and check Introductory Algebra level linear equations and inequalities in one variable, quadratic equations, rational equations, literal equations, and systems of two linear equations by applying the most appropriate method to solve application problems.
REQUISITE APPROVAL MATH 150 Intermediate Algebra Page 2 3. Solve Introductory Algebra level applied problems by applying a systematic problem solving approach and utilizing equations in one variable, quadratic equations, rational equations, and systems of two linear equations. 4. Graph linear equations in two variables by plotting several points, by determining the intercepts, or be determining the slope and a point on the line to make generalizations about linear relationships. 5. Completely factor polynomials at the Introductory Algebra level by applying the appropriate methods of factoring, including greatest common factors, grouping, difference of two squares, trinomial to the product of two binomials, and combinations of these methods to solve equations. 6. Perform operations at the Introductory Algebra level of addition, subtraction, multiplication, and division on polynomials, rational expressions, and square root radical expressions to write expressions in simplest form and to solve application problems. NOTE: Per District policy and procedures the completed and approved Requisite Approval form is considered to be part of the official course outline of record.