College of Micronesia-FSM
P. 0. Box 159 Kolonia
Pohnpei FM 96941
Course Outline
| Course Title | Department and Number |
|---|---|
| Elementary Algebra | Division of Natural Sciences and Mathematics MS 096 |
Course Description: Students will be able to perform arithmetic operations on expressions and equations; solve and graph linear equations and inequalities; solve ratios, proportions, and problems involving two unknowns; factor and graph polynomial expressions including solving quadratic equations by factoring.
Course Prepared by: Dana Lee Ling
| Hours per Week | Weeks | Semester Hours | Semester Credits | Preps | ||||
|---|---|---|---|---|---|---|---|---|
| Lecture | ||||||||
| Laboratory | ||||||||
| Workshop | ||||||||
| Study | ||||||||
| Totals: | 4 | 1 | ||||||
MS 096 Elementary Algebra is designed so that students meet five days each week. One hour each on Monday, Wednesday, and Friday; one and half hours Tuesday and Thursday; for a total of six contact hours per week during a sixteen week term. The course is four credits. The instructor is compensated for six contact hours (the equivalent of two sections) per week and one preparation.
Purpose of Course
Degree Requirement:
Degree Elective: ______
Certificate: ______
Remedial: X
Other: ______
Prerequisite Course:A grade of "C" or better in MS 095, by placement, or permission of instructor.
Date approved by Committee:__________
Date approved by President:__________
- Course Objectives or Learning Outcomes
- Program student learning outcomes
Students will be able to:- define mathematical concepts, calculate quantities, estimate solutions, solve problems, represent and interpret mathematical information graphically, and communicate mathematical thoughts and ideas.
- Course student learning outcomes
Students will be able to:- perform arithmetic operations on numbers, terms, expressions, equations, and inequalities.
- solve and graph linear equations and inequalities.
- solve problems involving ratios, proportions, rates, mixtures, and multiple unknowns.
- perform arithmetic operations on, factor, and graph polynomial expressions.
- Specific student learning outcomes
Students will be able to:- perform arithmetic operations on numbers, terms, expressions, equations, and inequalities..
- graph numbers on a number line
- factor numbers and terms
- add, subtract, multiply, divide, and exponentiate integers, rational numbers, and expressions
- calculate inverses
- simplify, rationalize, and evaluate expressions with radicals
- translate word phrases to expressions and equations
- evaluate expressions, equations, and formulas
- solve and graph linear equations and inequalities.
- solve linear equations, application problems, inequalities, and functions
- graph coordinates, linear equations, linear inequalities, and functions
- calculate slope and intercept from coordinate pairs
- analyze a graph of a line to determine the slope and intercept
- identify the domain and range of a function
- find the value of a function
- solve problems involving ratios, proportions, rates, mixtures, and multiple unknowns.
- solve ration, proportion, percentage, rate, and mixture problems
- translate and solve problems involving percentages
- solve problems involving two and more unknowns
- perform arithmetic operations on, factor, and graph polynomial expressions.
- perform arithmetic operations on monomials, binomials, trinomials, and polynomials
- factor monomial, binomial, trinomial, and polynomial expressions
- solve quadratic equations by factoring
- graph quadratic equations and functions
- perform arithmetic operations on numbers, terms, expressions, equations, and inequalities..
- Program student learning outcomes
- Course content
- Foundations of Algebra Number Sets and the Structure of Algebra. Fractions. Adding and Subtracting Real Numbers; Properties of Real Numbers. Multiplying and Dividing Real Numbers; Properties of Real Numbers. Exponents, Roots, and Order of Operations. Translating Word Phrases to Expressions. Evaluating and Rewriting Expressions.
- Solving Linear Equations and Inequalities Equations, Formulas, and the Problem-Solving Process. The Addition Principle. The Multiplication Principle. Applying the Principles to Formulas. Translating Word Sentences to Equations. Solving Linear Inequalities.
- Problem Solving Ratios and Proportions. Percents. Problems with Two or More Unknowns. Rates. Investment and Mixture.
- Graphing Linear Equations and Inequalities The Rectangular Coordinate System. Graphing Linear Equations. Graphing Using Intercepts. Slope-Intercept Form. Point-Slope Form. Graphing Linear Inequalities. Introduction to Functions and Function Notation.
Polynomials Exponents and Scientific Notation. Introduction to Polynomials. Adding and Subtracting Polynomials. Exponent Rules and Multiplying Monomials. Multiplying Polynomials; Special Products. Exponent Rules and Dividing Polynomials. - Factoring Greatest Common Factor and Factoring by Grouping. Factoring Trinomials of the Form x² + bx + c. Factoring Trinomials of the Form ax² + bx + c, where a ? 1. Factoring Special Products. Strategies for Factoring. Solving Quadratic Equations by Factoring. Graphs of Quadratic Equations and Functions. Linear and quadratic equations
- Textbook:
Elementary and Intermediate Algebra, 2/E [or direct successor editions] 2007 ISBN: 0-321-36854-1 Carson, Gillespie, Jordan Addison Wesley - Required course materials: Scientific calculator.
- Reference materials: As per instructor needs.
- Instructional costs: Standard instructional materials such as markers, erasers, paper.
- Methods of Instruction: The course will be taught by lecture, class discussion. Sections that can access or meet in a computer laboratory are recommended to utilize spreadsheet software to assist students in visualizing equations through graphing tools. Quizzes, tests, and a final examination will provide measurement of achievement of course objectives. Grading as per the policy in the current college catalog.
- Evaluation: None. No credit-by-examination.
- Attendance policy: As per the current college catalog.
- Academic honesty policy: As per the current college catalog.