Requisite Approval must be attached

Transcription

1 Requisite Approval must be attached CITRUS COMMUNITY COLLEGE DISTRICT DEPARTMENT Mathematics COURSE NUMBER MATH 148 TITLE Intermediate Algebra I THIS COURSE IS CLASSIFIED AS: DEGREE APPLICABLE UNIT VALUE 2.5 LECTURE HOURS PER WEEK BASED ON 18 WEEK SEMESTER 3 ENTRANCE SKILLS, PREREQUISITES, OR CO-REQUISITES Prerequisite: MATH 129 or 130. CATALOG COURSE DESCRIPTION Presents the first half of a two-semester alternative to intermediate algebra. (MATH 150). Real number properties, first degree equations and inequalities, absolute value equations and inequalities, applications, polynomials, the binomial theorem, factoring, rational expressions, exponents, radicals, and complex numbers. Three hours lecture per week. NOTE: BOTH MATH 148 AND MATH 149 MUST BE COMPLETED TO SATISFY A MATH 150 PREREQUISITE. MAY NOT BE TAKEN CONCURRENTLY WITH MATH 149 OR MATH 150. CLASS SCHEDULE COURSE DESCRIPTION First half of a two-semester alternative to intermediate algebra (MATH 150). Real number properties, first degree equations and inequalities, absolute value equations and inequalities, applications, polynomials, the binomial theorem, factoring, rational expressions, exponents, radicals, and complex numbers. NOTE: BOTH MATH 148 AND MATH 149 MUST BE COMPLETED TO SATISFY A MATH 150 PREREQUISITE. MAY NOT BE TAKEN CONCURRENTLY WITH MATH 149 OR MATH 150. COURSE OBJECTIVES/STUDENT LEARNING OUTCOMES

2 MATH 148 Intermediate Algebra I Page 2 Communication, Computation, Creative, Critical, and Analytical Thinking 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: 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 linear equations and inequalities, equations, and special equations such as absolute value, and rational by applying equality properties and simplification rules to solve application problems 3. solve quadratic equations by applying factoring techniques to solve freefall problems 4. perform operations of addition, subtraction, multiplication, and division on polynomials, and rational expressions to simplify expressions and write them in standard forms 5. demonstrate an understanding of linear functions to find their domains and ranges and to graph them in the rectangular coordinate system by using the most appropriate method 6. 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 7. solve applied problems by applying a systematic problem-solving approach and utilizing linear equations in one variable, variation, quadratic equations, and rational equations 8. 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 9. completely factor polynomials by applying the appropriate types of 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

3 MATH 148 Intermediate Algebra I Page 3 Technology 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 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 designed to reduce anxiety and stress REQUIRED TEXTS AND MATERIALS Intermediate Algebra, Lial/Hornsby/McGinnis, 2004 The reading for this course is: PRIMARILY COLLEGE LEVEL REQUIRED ASSIGNMENTS OUTSIDE OF CLASS Over an 18 week presentation of the course three hours per week are required for each unit of credit. Two hours of independent work done out of class are required for each hour of lecture. Students will be required to complete the following types of assignments outside of the regular class time: Study Practice skills Read required materials Solve problems DEGREE APPLICABLE COURSE: 2 hours of independent work done out of class per each hour of lecture or class work, or 3 hours lab, practicum, or the equivalent, per unit. COURSE CONTENT

4 MATH 148 Intermediate Algebra I Page 4 I. Real Numbers: Properties and Fundamental Operations II. III. IV. First-Degree Equations and Inequalities and Applications Absolute Value Equations and Inequalities Graphing and Functions; Variation V. Linear Systems and Applications VI. VII. VIII. Rules of Exponents Polynomials: Fundamental Operations (Including Binomial Theorem) and Factoring Rational Expression: Fundamental Operations and Equations 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. A course grade may not be based solely on attendance. Adopted: June, 1992 Revised: March, 1993 Revised: May, 1993

5 MATH 148 Intermediate Algebra I Page 5 Revised: November, 1993 Revised: March, 1994 Revised: March, 1995 Revised: March, 1996 Revised: April, 1998 Revised: April, 2000 Revised: September, 2005

6 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 148 Title: Intermediate Algebra I 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 liner equations by applying the most appropriate method to solve application problems.

7 REQUISITE APPROVAL MATH 148 Intermediate Algebra I Page 2 3. Solve Introductory Algebra level applied problems by applying a systematic problem-solving approach and utilizing linear 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 by 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.