ࡱ> WYV{ bjbjzz >DX X 8DB\@fq@s@s@s@s@s@s@$XB E@@@M#M#M#q@M#q@M#M#R;U>¹+<]@@0@<EdE<U>EU>M#@@G@EX x:  GROSSMONT COLLEGE Official Course Outline MATHEMATICS 090 ELEMENTARY ALGEBRA 1. Course Number Course Title Semester Units Semester Hours MATH 090 Elementary Algebra 5 5 hours lecture or 4 hours lecture plus 2 hours computer assisted instruction (4.5 hours lecture and 1.5 hours lab) 80-90 total lecture hours 2. Course Prerequisites None. Corequisite None. Recommended Preparation A Pass grade in MATH 088 or equivalent. 3. Catalog Description This course is the first of a two-course sequence in algebra intended to help prepare students for transfer level mathematics. An introduction to the following topics is included: the vocabulary of algebra, translation from English to algebra, evaluation of literal expressions, and functions. Topics covered in more depth include solving and graphing linear equations and inequalities in one and two variables; solving and graphing systems of equations in two variables; factoring; algebraic operations on polynomial, rational, and radical expressions; solving quadratics using factoring, and rational equations. This course is recommended for students with little or no recent knowledge of algebra and is offered on a Pass/No Pass basis only. 4. Course Objectives The student will: Solve and graph linear equations and inequalities in one and two variables. Calculate and interpret slope from graphs, two points, and using formulas. Find equations of lines in two variables. Solve and graph systems of linear equations and inequalities in two variables. Identify if an equation or a curve represents a function. Evaluate and perform basic arithmetic operations on functions and find the domain and range of functions using ordered pairs. Apply properties of exponents and perform arithmetic operations on polynomials Employ various techniques for factoring polynomials. Solve quadratic equations by factoring. Simplify and perform arithmetic operations on rational expressions and solve simple rational equations. Simplify and evaluate radicals. Apply all of the techniques for solving equations to applied problems. MATHEMATICS 090 ELEMENTARY ALGEBRA page 2 5. Instructional Facilities seq level1 \h \r0  Standard classroom equipped with: 1) White board. 2) Overhead projector/document camera. 3) SmartCart. The Math Study Center equipped with: 40 computers. White board. Overhead projector/document camera. Appropriate software for integrated computer instruction. 6. Special Materials Required of Student Calculator (with exponential and square root functions). 7. Course Content Linear equations and inequalities in one variable: solve including some literal and conditional equations, identities, and contradictions; number line graphs. Linear equations and inequalities in two variables: graph, slope, x and y intercepts, equation of a line, use of slope-intercept and two points to find the equation of a line, and identification of graphical solutions to linear inequalities. Systems of equations in two variables: solve by graphing, substitution, and elimination. Introduction to Functions: notation, evaluation, find simple domain and range, perform simple arithmetic operations on functions. Exponents: basic rules and definitions of integer and rational exponents, scientific notation, multiply and divide numbers in scientific notation. Polynomials: simplify and perform arithmetic operations on polynomial expressions (division by monomials and first degree binomials only with no synthetic division). Factoring: use distributive property for greatest common factors, factor by grouping, the difference of two squares and trinomials. Quadratic equations: solve by factoring, no graphing. Rational expressions and equations: simplify and perform arithmetic operations on rational expressions and solve simple equations using cross-multiplication or polynomial denominators factorable with techniques learned in the course. Roots and radicals: introduction to square roots, cube rotes and nth roots; simplify, evaluate, and multiply radicals. Application problems: solve problems that demonstrate proficiency with linear equations, linear systems, and quadratic equations aligned with expected outcomes for the course. 8. Method of Instruction The development of problem solving techniques may be achieved by using a variety of instructional techniques including instructor presented examples and/or daily problem assignments. 9. Methods of Evaluating Student Performance Homework. Quizzes. Tests. In-class, comprehensive final exam. MATHEMATICS 090 ELEMENTARY ALGEBRA page 3 10. Outside Class Assignments Homework and problems sets and/or online assignments. 11. Texts a. Required Text(s): 1) Bittinger, Martin L., and David J. Ellenbogen and Barbar L. Johnson. Intermediate Algebra Concepts & Applications. Boston, MA: Addison Wesley, 2012, 5th ed. 2) Math 90 Elementary Algebra Lecture Notes. Supplementary texts and workbooks: Student Solutions Manual. Addendum: Student Learning Outcomes Upon completion of this course, our students will be able to do the following: Solve linear, quadratic, and rational equations, linear systems and linear inequalities. Simplify and evaluate algebraic expressions. Interpret linear equations numerically, graphically and symbolically and be able to transition between them. Apply appropriate algebraic methods to solve word problems. 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