MASSASOIT COMMUNITY COLLEGE Fall 2012 INSTRUCTOR: Dolores Shea Office: T 326 Tutoring Hours: MWF: 10 – 1PM, TR:9AM – 1 PM Phone: 1-508-588-9100 ext. 1078 Email: dshea@massasoit.mass.edu COURSE TITLE/NUMBER: Introductory Algebra: 11074 MATH101 L1 (MWF 9:00AM – 9:50AM) Classroom: T 541 GENERAL COURSE DESCRIPTION: This course is designed to provide the fundamental concepts of algebra and examine some simple applications of these concepts, i.e. word problems. Topics include signed numbers, algebraic expressions, linear equation and inequalities in one variable, the Cartesian coordinate system, linear equations and inequalities in tow variables, systems of equations, and descriptive statistics (e.g. mean, median, mode, and reading graphs). Note: Credits earned in this course cannot be applied toward graduation. Prerequisite: C- or better in Fundamentals of Mathematics (MATH010) or waiver by placement testing results or Department Approval. TEXT: Aufmann & Lockwood, Introductory Algebra: An Applied Approach 8E- AIM, Houghton Mifflin Company 2011. TEACHING PROCEDURE: Each class will begin with a discussion of the previously assigned homework problems. New material will be presented in the form of lecture, group work and sample problems. GETTING HELP: If you are having trouble with the coursework, you are encouraged to seek additional help. I am available in the tutoring room (T 432) for tutoring (my hours are listed above). Seek help as soon as you find yourself falling behind in your class work. SPECIAL ACCOMMODATIONS: “ Students with disabilities who believe that they may need accommodations in the classroom are encouraged to contact a disability counselor as soon as possible. Students with learning disabilities should contact Andrea Henry, at extension 1805. Students with physical disabilities should contact Mary Berg, at extension 1425. All students at the Canton Campus should contact Mary Berg at extension 2132. Students at the Middleboro campus should contact Andrea Henry at ext. 1805.” NO MAKE-UPS WILL BE GIVEN on hour exams unless you know in advance that you will be absent and make arrangements with the instructor. The lowest test grade will be dropped, however, if you miss a test that grade will be the one dropped. CLASSROOM BEHAVIOR: In order to create an effective learning and teaching environment, appropriate and courteous student classroom behavior is expected at all times. Disruptive or inappropriate behavior will not be tolerated. You are expected to fully comply with all college rules and regulations outlined in the Student Handbook. ATTENDANCE: A students’ attendance will count as 10% of the final grade. In order to receive a satisfactory grade in this course, a student should miss no more than six classes. The following absences will be equivalent to a numerical grade: 1 absence = 93%, 2 absences = 86%, 3 absences =79%, 4 absences = 73%, 5 absences = 66%, and 6 absences = 58%. COURSE POLICIES AND REQUIREMENTS: 1. Students are encouraged to attend all classes. In the event that a student must miss a class, it is the responsibility of the student to do all homework assignments. 2. There will be four hand-in assignments which will be graded and counted as one test grade (10%). 3. There will be seven in class tests, but the lowest test grade will be dropped (60%). 4. Attendance will count as one test grade (10% see above for calculating). 5. 80% of the final grade will result from the test grades, hand-in assignments, and attendance. 6. Final Exam will count as two test grades (20%). GRADING SYSTEM: Grades are reported using a 4.0 system A 4.0 93 and above: Excellent C1.7 70-72 A3.7 90-92 D+ 1.3 67-69 B+ 3.3 87-89 D 1.0 63-66: Unsatisfactory B 3.0 83-86: Good D0.7 60-62 B2.7 80-82 F 0.0 Below 60: Failure C+ 2.3 77-79 I Incomplete is given at the C 2.0 73-76 discretion of the professor. COURSE TOPICS: (Test dates are tentative) I Chapter 1: Pre-Algebra Review 1.1 Integers: p. 6 #3-63 odd 1.2 Add & Subtract Integers: p. 12 #3-73 odd 1.3 Multiply & Divide Integers: p. 21 #1-57 odd 1.4 Order of Operations Agreement: p. 27 #1-19 odd, 33-63 odd 1.6 Add & Subtract Rational Numbers: p.41 #43-77 odd, 83-103 odd 1.7 Multiply & Divide Rational Numbers: p. 51 #1-33 odd, 37-55 odd Percents: p. 53 #85-103 odd TEST: September 12, 2012 II Chapter 2: Variable Expressions 2.1 Variable Expressions: p. 47 #1-205 odd 2.2 Simplify Variable Expressions: p. 88 #3-141 odd 2.3 Translate Variable Expressions: p. 96 #1-55 odd ** Descriptive Statistics Packet Circle, Line, and Bar Graphs Mean, Median, and Mode TEST: Sept 21, 2012. III Chapter 3: Solving Equations 3.1 Introduction to Equations: p 125 # 1-145 odd 3.2 General Equations I: p. 139 #1-103 odd 3.3 General Equations II: p. 149 #3 -53 odd TEST: Oct. 4, 2012 NO CLASS: Oct. 8, 2012 (Columbus Day – Monday) 9.2 Equations with Inequalities: p. 457 #1-33 odd, 43-81 odd 9.3 Solve General Inequalities: p. 463 #1-19 odd 3.4 Translating sentences into Equations: p. 157 #1-23 odd 3.5 Mixture Problems: p. 173 #1-9 odd 6.6 Ratio & Proportions: p. 322 #1-29 odd 6.7 Literal Equations: p. 328 # 1-39 odd TEST: October 26, 2012 IV Chapter 7: Linear Equations in Two Variables 7.1 The Rectangular Coordinate System: p.360 #1-27odd 7.2 Linear Equations in Two Variables: p.370 #1-35 odd 7.3 Intercepts & Slopes of Straight Lines: p. 380 #1-45 odd, 49-69 odd No Class: Monday: November 12, 2012 Veterans’ Day Last day to withdraw for a class is November 13, 2012 TEST: November 16, 2012 Thanksgiving Recess: November 22-25, 2012 6.4 Equations of Straight Lines: p. 388 #7-45 odd 9.4 Graphing Linear Inequalities: p. 467 #1-25 odd 8.1 Graphing Linear Equations: p. 408 #1-39 odd Perpendicular and Parallel found here TEST: Nov.28, 2012 V Chapter 8: Systems of Linear Equations and Inequalities 8.2 Solving Systems of Equations by Graphing and by the Substitution Method: p. 418 #3-31odd, 37-45 odd 8.3 Solving Systems of Equations by the Addition Method: p. 426 #1-35 8.4 Application Problems in Two Variables: p. 432 #1-13 odd, 15, 17 TEST: December 12, 2012 *Last Day of Class December 14, 2012 FINAL EXAM: December 19, 2012 8AM – 10 AM OUTCOMES BASED LEARNING MATRIX Course: MATH101 Introductory Algebra Department: Mathematics Course Description: This course is designed to provide the fundamental concepts of algebra and examine some simple applications of these concepts, i.e. word problems. Topics include signed numbers, algebraic expressions, linear equations and inequalities in one variable, the Cartesian coordinate system, linear equations and inequalities in two variables, systems of equations, and descriptive statistics (e.g. mean, median, mode, and reading graphs). Note: Credits earned in this course cannot be applied to graduation. Prerequisite: C- or better in Fundamentals of Mathematics (MATH010) or waiver by placement testing results or Departmental Approval INSTRUCTIONAL OBJECTIVES: COURSE OUTCOMES OUTCOMES ACTIVITIES At the end of this course, students will be able to Apply the rules of signed numbers, the order of 1. Add, subtract, multiply and divide signed operations agreement, and the rules for rational numbers. (W,R,CT,QS) simplifying algebraic expressions in order to 2. Simplify numeric expressions according to have the basic skills necessary for successful the order of operations. (emphasis on completion of the other topics in this course integers) (W,R,CT,QS) and related topics in other courses. 3. Evaluate variable expressions. (W,R,CT,QS) 4. Simplify algebraic expressions using the distributive law. (W,R,CT,QS) 5. Combine like terms. (W,R,CT,QS) Solve first degree equations and inequalities in 1. Determine whether a given number is a one variable in order to solve problems that solution of an equation/inequality. can be modeled by these types of relationships. (W,R,CT,QS) 2. Solve equations/inequalities of the form ax b, x a b, ax b c, ax b cx d. (W,R,CT,QS) 3. Solve equations/inequalities containing fractions and parentheses. (W,R,CT,QS) Plot points and graph linear equations and inequalities on the Cartesian coordinate system in order to use these skills to solve related problems in this and related courses. Determine an equation of a given line in order to solve application problems in this and related courses. Solve systems of linear equations in order to solve applications problems in this and related courses. Solve simple descriptive statistics problems in order to analyze and interpret data in real word situations. Strengthen Core Competencies** in order to increase success in this and other courses and in the workplace. 4. Solve literal equations. (W,R,CT,QS) 5. Solve proportions. (W,R,CT,QS) 6. Translate and solve number problems, percent problems, ratio and proportion problems. (W,R,CT,QS) 1. Plot points and find the coordinates of a given point. (W,R,CT,QS) 2. Graph an equation/inequality by plotting points, by finding the x-, and y-intercepts, and by using the slope-intercept method. (W,R,CT,QS) 3. Graph an equation/inequality of the form y mx b, Ax By C, y b, x a. (W,R,CT,QS) 1. Find the slope of a line given two points or given an equation of the line. (W,R,CT,QS) 2. Write an equation of a line given a point and the slope, two points, or information about parallel and perpendicular lines. (W,R,CT,QS) 3. Determine when two lines are parallel, perpendicular or neither.(W,R,CT,QS) 1. Solve a system of linear equations in two variables by graphing, the substitution method, and the addition method. (W,R,CT,QS) 2. Determine if a system of linear equations is inconsistent or dependent. (CT,QS,W,R) 3. OPTIONAL: Solve a system of linear equations using Cramer’s Rule. (W,R,CT,QS) 4. Solve mixture, current, distance, and number word problems. (W,R,CT,QS) 1. Read and interpret bar graphs, pie graphs, and line graphs. (W,R,CT,QS) 2. Calculate the mean, the median, and the mode for a given set of data. (W,R,CT,QT) Reference above **Indicate the Core Competencies that apply to the outcomes activities and assessment tools: Critical Thinking (CT); Technology Skills (TS); Oral Communications (OC); Quantitative Skills (QS); Reading (R); Writing (W).