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FLORIDA STATE COLLEGE AT JACKSONVILLE COLLEGE CREDIT COURSE OUTLINE COURSE NUMBER: MAT 1033 COURSE TITLE: Intermediate Algebra PREREQUISITE(S): MAT 0028 with a grade of “C” or better or a satisfactory score on the placement test (for non-exempt students only, per Senate Bill 1720/State Board Rule 6A-10.0315). COREQUISITE(S): None STUDENT ADVISING NOTE: Effective Spring 2014, students who entered the ninth grade in a Florida public high school in the 2003-2004 school year, or any year thereafter, and earned a standard Florida high school diploma, or students who are serving as active duty members in any branch of the United States Armed Services, will not be required to take the common placement test (P.E.R.T.) or to enroll in developmental education at any Florida College System institution, including Florida State College at Jacksonville (per State Board Rule 6A-10.0315). These students shall be considered exempt from common placement testing and developmental education instruction, and may accordingly enroll directly in MAT 1033 or MGF 1106/1107, depending on their program of study requirement. For placement in any math course beyond MAT 1033, exempt students will be required to take the common placement test. CREDIT HOURS: 4 CONTACT HOURS/WEEK: 4 CONTACT HOUR BREAKDOWN: Lecture/Discussion/Laboratory: 4 FACULTY WORKLOAD POINTS: 4 STANDARDIZED CLASS SIZE ALLOCATION: 22 CATALOG COURSE DESCRIPTION: The major topics include sets, linear equations and inequalities with applications, absolute value, polynomials and factoring, rational expressions with applications, exponents, roots and radicals, quadratic equations with applications, relations and functions, graphs and systems of linear equations and inequalities. This course is an elective and will not apply towards the A.A. or A.S. mathematics General Education requirements. This course will count as an A.A. elective in both A.A. and A.S. requirements. (CBE) SUGGESTED TEXT(S): Intermediate Algebra, Lial Addison-Wesley, Current Edition Intermediate Algebra w/HM3 CDROM Smart Thinking 1 Password Web, Aufmann Houghton-Mifflin, Current Edition, Intermediate Algebra, Martin-Gay Pearson Education (Prentice-Hall), Current Edition Intermediate Algebra, A Graphing Approach, MartinGay/Greene, Pearson Prentice Hall. Interactive Math – Intermediate Algebra, Martin-Gaye, Current Ed. Pearson Education (Prentice-Hall) Intermediate Algebra, Johnston Thomson Learning, Current Edition Intermediate Algebra, (Alternate) Lial Addison-Wesley, Current Edition Intermediate Algebra for College Students, Angel, Current Edition Pearson Education (Prentice Hall) Intermediate Algebra, Aufmann Houghton-Mifflin, Current Edition Intermediate Algebra for College Students, Angel, Current Edition Intermediate Algebra w/Applications, Wesner, Bernard J. Klein Publishing, Current Edition Intermediate Algebra, Edward Burger Thinkwell, Current Edition ELECTRONIC RESOURCES: MyMathLab, Pearson Publishing, ALEKS/Math Zone, Mcgraw Hill, MathXL, MyLabsPlus, Cengage, Hawkes IMPLEMENTATION DATE: Winter Term, 1967 (672) (was MS 00103) REVIEW OR MODIFICATION DATE: Fall Term, 1998 (991) Fall Term, 2002 (20031) Spring Term, 2005 (20052) Fall Term, 2005 (20061) Fall Term 2008 (20091) - Outline Review 2007 Fall Term, 2011 – ASE Change sent to Fall Term, 2014 (20151) – Proposal 2014-20 Fall Term, 2015 (20161) – Outline Review 14-15 2 COURSE TOPICS I. Sets A. Sets, Notations, Symbolism, B. Subsets of the Real Numbers C. Review of Operations with Real Numbers (Optional) II. Linear Equations and Inequalities A. Linear Equations, One Variable B. Formulas and Literal Equations C. Solve linear and compound inequalities D. Equations Involving Absolute Value E. Applications CONTACT HOURS PER TOPIC 1 9 III. Exponents, Polynomials and Factoring A. Rules of Exponents B. Scientific Notation C. Fundamental Operations on Polynomials D. Factoring 7 IV. Algebraic Fractions A. Fundamental Operations B. Equations with Algebraic Fractions C. Applications 7 V. Roots and Radicals A. Rational Exponents B. Roots and Radicals 1. Simplification 2. Operations on Radicals 3. Equations Containing Radicals C. Complex Numbers 1. Simplification 2. Operations on Complex Numbers 8 VI. Quadratic Equations A. Solving Quadratic Equations 1. Factoring 2. Root Extraction 3. Completing the Square 4. Quadratic Formula 11 3 COURSE TOPICS CONTACT HOURS PER TOPIC B. Complex Numbers as Solutions to Quadratic Equations C. Applications 1. Problems Involving Pythagorean Theorem 2. Other Applications VII. Relations and Functions A. Basic Concepts B. Functional Notation C. Domain and Range D. Evaluate Functions 5 VIII. Graphs 8 A. The Rectangular Coordinate System B. Linear Equations 1. Graphs of Linear Equations i. By plotting points ii. Plotting intercepts iii. Using slope and y-intercept 2. Slope i. Slope as a rate of change ii. Applications of slope to real world problems 3. Perpendicular and Parallel Lines 4. Equations of the Line C. Linear Inequalities D. Introduction to Non-Linear Equations 1. Plot non-linear graphs including basic exponential functions, absolute value functions, and quadratic functions E. Domain and Range IX. Systems of Linear Equations and Inequalities A. In Two Variables B. Applications 4 *COURSE TOPICS NEED NOT BE PRESENTED IN THE INDICATED SEQUENCE. 4 Florida State College at Jacksonville Course Learning Outcomes and Assessment SECTION 1 Semester Credit Hours (Credit): Contact Hours (Workforce): Course Prefix and Number: MAT 1033 Course Title: Intermediate Algebra 4 SECTION 2a (To be completed for General Education courses only.) TYPE OF COURSE (Place an “X” in the box next to those that are applicable.) General Education Core (If selected, core discipline area will be identified in Section 4.) General Education (If selected, you must also complete Section 4, Section 5, and Section 8) SECTION 2b TYPE OF COURSE (Place an “X” in the box next to those that are applicable.) X A.A. Elective A.S. Required Course A.S. Professional Elective A.A.S. Required Course A.A.S. Professional Elective Technical Certificate PSAV/Clock Hour/Workforce Development Education Apprenticeship Upper Division/Bachelors Other: If selected, use this space to title “other” option. SECTION 3 INTELLECTUAL COMPETENCIES (Place an “X” in the box next to those that are applicable.) X Reading X Speaking X Writing X Listening X Critical Analysis X Information Literacy Qualitative Skills Ethical Judgement X Scientific Method of Inquiry Working Collaboratively SECTION 4 (To be completed for General Education courses only.) GENERAL EDUCATION DISCIPLINE AREA (Place an “X” in the box next to those that are applicable.) Communications Humanities Mathematics Social and Behavioral Sciences Natural Sciences SECTION 5 (To be completed for General Education courses only.) GENERAL EDUCATION LEARNING OUTCOME AREA (Place an “X” in the box next to those that are applicable.) Communication Critical Thinking Information Literacy Scientific and Quantitative Reasoning Global Sociocultural Responsibility SECTION 6 LEARNING OUTCOMES TYPE OF OUTCOME (General Education, Course or Program) Define the sets of real numbers, as well as use proper set notation Course Evaluate formulas used in other disciplines such as science, business, statistics, geometry and other applied areas involving routine operations with real numbers. Course METHOD OF ASSESSMENT Students will define the various sets of numbers (natural, whole, integers, rational, irrational, and real), as well as use proper set notation through tests or quizzes, instructor observation, assigned homework, class assignments or discussion, cooperative learning or computer activities. Students will demonstrate their ability to evaluate formulas through tests and/or quizzes, instructor observation, assigned homework, class assignments and/or discussion, cooperative learning and/or computer activities. 5 SECTION 6 (Continued) LEARNING OUTCOMES TYPE OF OUTCOME (General Education, Course or Program) Solve linear equations, including equations containing fractions. Course Solve literal equations and formulas for given variables, including those with fractions. Course Solve linear and compound linear inequalities, including those with fractions. Course Solve absolute value equations and represent the solutions using set notation. Course Translate real-world problems into mathematical equations or inequalities and then solve the problem. Course Simplify algebraic expressions using the rules of exponents. Course Multiply and divide algebraic expressions using scientific notation. Course Simplify expressions containing polynomials including adding, subtracting, multiplying and dividing polynomials (long division onlysynthetic division is optional). Course METHOD OF ASSESSMENT Students will demonstrate their ability to solve linear equations through tests and/or quizzes, instructor observation, assigned homework, class assignments and/or discussion, cooperative learning and/or computer activities. Students will demonstrate their ability to solve literal equations and formulas for given variables through tests and/or quizzes, instructor observation, assigned homework, class assignments and/or discussion, cooperative learning and/or computer activities. Students will demonstrate their ability to solve linear and compound linear inequalities, including those with fractions, through tests and/or quizzes, instructor observation, assigned homework, class assignments and/or discussion, cooperative learning and/or computer activities. Students will demonstrate their ability to solve absolute value equations through tests and/or quizzes, instructor observation, assigned homework, class assignments and/or discussion, cooperative learning and/or computer activities. Students will demonstrate their ability to translate real-world problems using mathematical equations or inequalities through tests and/or quizzes, instructor observation, assigned homework, class assignments and/or discussion, cooperative learning and/or computer activities. Students will demonstrate their ability to simplify exponential expressions using the rules of exponents through tests and/or quizzes, instructor observation, assigned homework, class assignments and/or discussion, cooperative learning and/or computer activities. Students will demonstrate their ability to perform operations (multiply and divide) on algebraic expressions using scientific notation through tests and/or quizzes, instructor observation, assigned homework, class assignments and/or discussion, cooperative learning and/or computer activities. Students will demonstrate their ability to add, subtract, multiply and divide polynomials (using long division) through tests and/or quizzes, instructor observation, assigned homework, class assignments and/or discussion, cooperative learning and/or computer activities. 6 SECTION 6 (Continued) LEARNING OUTCOMES TYPE OF OUTCOME (General Education, Course or Program) Factor polynomials, including the use of the sum and difference of cubes formula. Course Simplify rational expressions, including adding, subtracting, multiplying and dividing them. Course Solve rational equations. Course Represent radicals using rational exponents as well as the radical symbol. Course Perform basic operations on radicals and simplify radical expressions, including cube roots. Course Solve equations involving one or more radicals. Course Simplify complex numbers of the form -a where a>0. Course Perform arithmetic operations using complex numbers. Course METHOD OF ASSESSMENT Students will demonstrate their ability to factor polynomials using various factoring methods, including the sum and difference of cubes formula, through tests and/or quizzes, instructor observation, assigned homework, class assignments and/or discussion, cooperative learning and/or computer activities. Students will demonstrate their ability to simplify rational expressions using various operations through tests and/or quizzes, instructor observation, assigned homework, class assignments and/or discussion, cooperative learning and/or computer activities. Students will demonstrate their ability to solve rational equations through tests and/or quizzes, instructor observation, assigned homework, class assignments and/or discussion, cooperative learning and/or computer activities. Students will demonstrate their ability to represent radicals using rational exponents through tests and/or quizzes, instructor observation, assigned homework, class assignments and/or discussion, cooperative learning and/or computer activities. Students will demonstrate their ability to perform basic operations (add, subtract, multiply, and divide) on radicals, including cube roots, through tests and/or quizzes, instructor observation, assigned homework, class assignments and/or discussion, cooperative learning and/or computer activities. Students will demonstrate their ability to solve equations using one or more radicals through tests and/or quizzes, instructor observation, assigned homework, class assignments and/or discussion, cooperative learning and/or computer activities. Students will demonstrate their ability to simplify complex numbers through tests and/or quizzes, instructor observation, assigned homework, class assignments and/or discussion, cooperative learning and/or computer activities. Students will demonstrate their ability to perform operations (add, subtract, multiply and divide) complex numbers through tests and/or quizzes, instructor observation, assigned homework, class assignments and/or discussion, cooperative learning and/or computer activities. 7 SECTION 6 (Continued) LEARNING OUTCOMES TYPE OF OUTCOME (General Education, Course or Program) Solve quadratic equations over the complex number system by factoring, square-root property, completing the square and quadratic formula. Course Solve application problems (such as Pythagorean Theorem) that involve the use of quadratic equations. Course Identify a function from a graph or set of ordered pairs Course Evaluate functions. Course Identify the domain and range of a function. Course Construct graphs of linear equations and functions by plotting points. Course Interpret the slope of a line in several ways: rate of change, measure of steepness of a line and apply the concept of slope to various real-world applications. Course Determine equations of lines (in both slopeintercept and standard form) when given two points, a graph, or a point and the slope of the line passing through the point. Course METHOD OF ASSESSMENT Students will demonstrate their ability to solve quadratic equations through tests and/or quizzes, instructor observation, assigned homework, class assignments and/or discussion, cooperative learning and/or computer activities. Students will demonstrate their ability to apply the strategies used for solving quadratic equations to application problems through tests and/or quizzes, instructor observation, assigned homework, class assignments and/or discussion, cooperative learning and/or computer activities. Students will identify functions from graphs and/or sets of ordered pairs through tests and/or quizzes, instructor observation, assigned homework, class assignments and/or discussion, cooperative learning and/or computer activities. Students will demonstrate their ability to evaluate functions through tests and/or quizzes, instructor observation, assigned homework, class assignments and/or discussion, cooperative learning and/or computer activities. Students will demonstrate their ability to identify domain and range when given a set of ordered pairs or a graph through tests and/or quizzes, instructor observation, assigned homework, class assignments and/or discussion, cooperative learning and/or computer activities. Students will demonstrate their ability to graph linear equations and functions through tests and/or quizzes, instructor observation, assigned homework, class assignments and/or discussion, cooperative learning and/or computer activities. Students will demonstrate their ability to interpret the slope of a line in several ways through tests and/or quizzes, instructor observation, assigned homework, class assignments and/or discussion, cooperative learning and/or computer activities. Students will demonstrate their ability to write equations of lines (in slope-intercept form and standard form) when given a graph, slope, and/or points on a line through tests and/or quizzes, instructor observation, assigned homework, class assignments and/or discussion, cooperative learning and/or computer activities. 8 SECTION 6 (Continued) LEARNING OUTCOMES TYPE OF OUTCOME (General Education, Course or Program) Construct graphs of linear inequalities using the rectangular coordinate system (one and two variable). Course Construct graphs of nonlinear functions such as quadratic, absolute value and exponential functions, by plotting points. Course Solve systems of linear equations and inequalities and be able to use these tools in the solution of practical problems. Course METHOD OF ASSESSMENT Students will demonstrate their ability to graph linear inequalities through tests and/or quizzes, instructor observation, assigned homework, class assignments and/or discussion, cooperative learning and/or computer activities. Students will demonstrate their ability to graph basic functions (f(x)= |x|, f(x)= x2 , f(x)= ax ) through tests and/or quizzes, instructor observation, assigned homework, class assignments and/or discussion, cooperative learning and/or computer activities. Students will demonstrate their ability to solve linear equations and inequalities through tests and/or quizzes, instructor observation, assigned homework, class assignments and/or discussion, cooperative learning and/or computer activities. SECTION 7 Faculty name(s): Jerry Shawver, Amanda Sartor, Judy Holcomb, William Meisel, and Jamie Stewart Date: 1/28/2013 CS20150615 9