Student Guide and Syllabus for MAT100 Introductory Algebra


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1 Course Information: MAT100 Introductory Algebra Section 13C Credit and Contact Hours: 4 credit hours (freeelective only) and 4 contact hours Room: 316 Main Building Meeting Dates and Times: Mondays and Wednesdays from 8:009:50 a.m. Final Class Meeting: TBA Final Exam: TBA College Breaks: There will be no classes held October 10, 11 and November Course Prerequisite: MAT098 Prealgebra, equivalent or placement; matriculated students who do not meet the course prerequisite will not be allowed to take this course Course Description: This course covers basic algebraic skills essential to the study mathematics. Course topics include linear expressions, equations and inequalities; systems of equations and inequalities; polynomial, rational and radical expressions and equations; and graphing on the coordinate plane. Applications to various fields of study will be explored. This course counts as free elective credit only. Instructor Information: Mary Clackler Office: None Phone Number: (518) with voic Web Resources: Fall 2011 Availability Hours Monday Tuesday Wednesday Thursday Friday 10:0011:00a.m. By appt. 10:0011:00 p.m. 5:006:00 p.m. By appt.. Required Text and Materials: Students will be required to bring the following materials to class each day: Introductory Algebra, 4 rd edition; Alan S. Tussy and R. David Gustafson. Brooks/Cole. ISBN # A scientific calculator with square and square root functions A large threering binder will be preferred as a course notebook A package of graph paper (for your threering binder) A highlighter for guided notes Pencils; assignments that are not completed in pencil will lose 20% of the earned value Methods of Instruction and Evaluation: Fall 2011 M Clackler at Clinton Community College Page 1 of 8
2 This course will be presented by a series of lectures, example problem solving, demonstrations and group discussions. Assignments will be given each class session and time will be permitted at the beginning of the next session to ask questions. Assignments, quizzes, and exams will constitute the final grade; the specific grading scheme is as follows: Learning Activities and Grading Scale: Percent of Final Grade: Chapter Exams (3 at 20% each) 60% Cumulative Final Exam 10%) 10% or 30% (see Chapter Exams next page) Quizzes 3% each) 30% Grades will be rounded to the nearest whole number value before being assigned a letter grade. A % B % D % A % C % D 6065% B % C 7375% F 059% B 8385% C % Course Assignments and Learning Activities: Successful completion of this course requires proficiency in the departmentallydefined course objectives. To that end, there will be no curve applied to the course. I have designed this course to best help you gain these skills, but you will need to work hard to learn the material and earn a passing grade in the course. The information that follows details all of the activities you will need to complete throughout the semester. It is meant to provide you with an initial overview of what types of learning activities you will be engaged in and, more importantly, it will serve as a reference when you embark upon any given assignment. Active Class Attendance All students are expected to attend each class on time and prepared with the course textbook, a notebook with graph paper, a calculator, and pencils. Active participation means that each student is taking notes, participating in class discussions, independently completing problems in their notebook and asking questions when necessary during the class period. As each class will begin with a brief review and studentgenerated questions, each student should be prepared with applicable questions before class begins. Ultimately, each student is responsible for their own learning. Textbook Readings and Homework Assignments Students are expected to complete all assigned course readings and homework assignments before the next class meeting (see detailed course schedule for specific assignments). It is crucial to complete all homework assignments in order to master the topics and corresponding technology before they are required in class assignments, quizzes, and exams; answers to all homework problems appear at the end of the text. Students are expected to complete the assigned homework problems, correct their results and rework problems as necessary; time will be spent at the beginning of each class addressing issues from the assigned homework. As a rule of thumb, expect to spend approximately 2 hours working outside of class for each hour spent working in class. That translates to 8 (or more) hours weekly that should be scheduled to complete assignments for this course alone. I encourage students to block out one hour per day to work on class assignments: it is beneficial to study regularly! Fall 2011 M Clackler at Clinton Community College Page 2 of 8
3 Course Assignments and Learning Activities Continued: Proficiency Quizzes A five to ten question quiz will be given each Monday from 10:0010:10 a.m. Each quiz question will be an example from a previous homework assignment or an important course concept; students must show all work to receive credit for each problem. Work that includes the answer only, insufficient detail or illegible work will receive no credit. The purpose of these quizzes are fourfold: (1) to ensure that students are practicing course material; that is completing and correcting all homework, (2) to empower students to be responsible for course material whether covered in class or in the text, (3) to encourage students to complete all homework assignments clearly and in an organized manner while including detailed work and sketches, and (4) to promote timely arrival to class and class preparedness. For these reasons, there will be no time extensions given and no makeup quizzes allowed. Note that 13 quizzes will be given throughout the semester and only your highest 10 scores will be counted. Practice Exams Prior to each exam, problems that constitute a practice exam will be available via your course website. These problems will give students a general idea of the scope and difficulty of the upcoming exam. I encourage students to work in groups, see me for help, or visit our Tutoring Center for help with practice exams. Chapter Exams This course will have three chapter exams. Students are responsible for knowing when each exam will be given and for being present on those days. If you miss an exam, your grade will be recorded as a zero: I DO NOT GIVE MAKEUP EXAMS. After final exams are given I will replace your lowest test score with the percentage on your final exam provided it will help your grade. I do not give makeup exams, however, I replace your lowest test score with the final exam percentage if you miss ONE exam then that will be the exam that is replaced by the final exam percentage. If you miss two exams I will expect verifiable proof of very good reasons (my call on what is very good) for BOTH exams. If you provide such proof we will take care of the second missed exam at that point. To date no one has convinced me they had a good reason for missing two exams. Cumulative Final Exam This course will have a cumulative final examination. It is important to understand and retain the material to a satisfactory level within a math course. Exam Corrections Exam corrections for each respective exam will be due one week following the exam s return date. You can earn up to 5 additional percentage points on each of the three chapter exams (not to exceed a score of 100%) by submitting a complete set of exam corrections. I encourage students to work in groups, see me for help, or visit our Tutoring Center for help with exam corrections. Extra Help and Accomodations: Please be aware of and use all of the resources available to you for this class: Actively participate in class and ask any questions that you have. Fall 2011 M Clackler at Clinton Community College Page 3 of 8
4 See me for help or phone me during my available hours. You may also ask questions via if it is more convenient. I strongly encourage students to form study groups. Working with a motivated group of your peers can be an invaluable learning experience. There are qualified and very supportive math tutors available to help you, free of charge, five days a week, in the Tutoring Center located on the fourth floor of our main building. A schedule of tutoring staff/times is usually available the second week of the semester and will be posted on the web at If you have, or suspect you may have, any type of disability or learning problem that may require extra assistance or special accommodations, please speak to me privately after class or during my office hours as soon as possible so I can help you obtain any assistance you may need to successfully complete this course. You should also contact Laurie Bethka, Room 420M in the Academic Assistance Center, for further assistance. Departmental Outline for MAT100: I. An Introduction to Algebra (textbook chapter 1): including describing numerical relationships, fractions and decimals, real numbers, operations with real numbers, solving equations, exponents and order of operations, algebraic expressions II. Equations, Inequalities, and Problem Solving (textbook chapter 2): including solving equations, problem solving, simplifying algebraic expressions, formulas, inequalities Exam III. Graphs, Linear Equations, and Functions (textbook chapter 3): including graphing using the rectangular coordinate system, equations containing two variables, graphing linear equations, the slope of a line, describing linear relationships, writing linear equations, functions IV. Solving Systems of Equations and Inequalities (textbook chapter 4) Exam V. Exponents and Polynomials (textbook chapter 5): including integer exponents, scientific notation, polynomials, operations involving polynomials VI. Roots and Radicals (textbook chapter 8): including evaluations square and higher order roots, operations with radicals, solving radical equations and rational exponents Exam VII. Factoring and Quadratic Equations (textbook chapter 6): including factoring out the greatest common factor, factoring by grouping, factoring trinomials, solving quadratic equations by factoring VIII. Rational Expressions and Equations (textbook chapter 7): including simplifying rational expressions, operations with rational expressions, complexfractions Cumulative Final Exam Departmental Objectives for MAT100: As the result of instructional activities, students will be able to: 1. Communicate using the appropriate mathematical vocabulary 2. Identify algebraic expressions and equations Fall 2011 M Clackler at Clinton Community College Page 4 of 8
5 3. Use appropriate mathematical notation 4. Translate word problems into mathematical expressions or equations and vice versa 5. Complete tables of values using provided equations 6. List the factors of a given number and give the prime factorization of a given number 7. Build up a given fraction to an equivalent fraction with the indicated denominator and simplify a given fraction 8. Convert an improper fraction to an equivalent mixed number and vice versa 9. Perform operations with real numbers 10. Convert between fractions, decimals and percentages 11. Order given real numbers and graph given real numbers on the number line 12. Use the order of operations to simplify algebraic expressions 13. Evaluate an expression by substituting in given values 14. Simplify a given expression by combining like terms and by using the distributive property 15. Solve a given equation, formula and inequality 16. Write clear, coherent solutions that demonstrate an understanding of the math concepts 17. Logically determine if solutions make sense 18. Solve word problems within the context of business, economics, entertainment, health, science, sports, and technology applications 19. Graph a given point on the coordinate plane and identify a point that has been graphed 20. Determine the slope and intercepts of a linear equation 21. Place a linear equation in each of the following forms: slopeintercept form, pointslope form, or general form 22. Write and graph linear relationships 23. Determine if given linear functions are parallel, perpendicular or neither 24. Evaluate functions at a point 25. Determine if a mathematical relationship is a function 26. Determine the domain and range of a function 27. Determine if a given ordered pair is a solution to a system of linear equations or inequalities 28. Solve a system of linear equation by the graphing method, the substitution method and the addition method 29. Solve linear inequalities and systems of linear inequalities and graph their solution set 30. Simplify expressions involving exponents 31. Convert numbers in standard notation to scientific notation and vice versa and use to simplify computations 32. Determine if a given expression is a polynomial and the degree of a given polynomial 33. Perform operations with polynomials 34. Use various factoring techniques to factor polynomials (including factoring out GCF, factoring difference of squares, factoring by grouping, and factoring trinomials). 35. Solve a quadratic equation by factoring and by using the quadratic formula 36. Simplify rational and radical expressions and complex fractions 37. Perform operations with rational and radical expressions 38. Solve simple radical and rational equations 39. Convert expressions with rational exponents to radical form Course Policies and Procedures: Fall 2011 M Clackler at Clinton Community College Page 5 of 8
6 Ignorance of course policies and procedures will not excuse students from their consequences. Please note the following policies and procedures will be in effect the duration of the course and will be applied equally to all students: Attendance Policies and Procedures: Attendance will be taken at the beginning and end of each class. Students will be entered absent (A), absent for a portion of the class (1/2 A), or in attendance. Students who come in after or who leave prior to roll being called will not be recorded as in attendance unless they inform the instructor of their presence (during a break or after class). It is the student s responsibility to ensure that they are recorded as in attendance so as to not be involuntarily withdrawn from the course. It is important to attend class each day; the helpful discussions and presentations that take place in class are difficult if not impossible to replicate on an individual basis. Absences do not excuse you from the homework assigned during the absence or from learning the concept taught during the absence. If you are absent from class on a day that an assignment is due, it is your responsibility to get your assignment delivered to me that day. (You may have a classmate, friend or family member deliver the assignment to me in person, or have it put in my mailbox and be timed in and initialed by the person putting it in the mailbox.) If possible, you should learn prior to your absence what is going to be taught and complete all assignments before returning to class. In the case of illness, you should begin to work on the homework as soon as it becomes feasible to do so. Attendance policy conforms to the policy found on page 24 of the CCC catalogue: "If, for some unavoidable reason, a student should miss class, it is the student's responsibility to contact the instructor as soon as possible to determine what measures can be taken to make up the missed work to maintain the continuity of the course. However, the instructor is not obligated to give makeup work, quizzes, examinations or extended due dates for work missed because of a student absence. When a student misses more than 15 percent of the class meetings for a particular course, his or her absence will be considered excessive. Excessive absences may result in a student being involuntarily withdrawn from the course by the Registrar ut upon recommendation of the instructor and may in turn affect financial aid. In such cases the student will receive a grade of W." For our class, 4.5 or more absences will make you eligible to be involuntary withdrawn (i.e. receive a grade of W for the course). Academic Integrity: Conduct which undermines the professional standards of CCC shall be subject to college action. Such conduct includes, but is not limited to: cheating, plagiarism, unauthorized collaboration, and stealing. Action against the student may include, but is not limited to: receiving an "Fgrade" on the assignment, receiving an "Fgrade" for the course, or college dismissal. In such offenses, the instructor will act at her discretion, based on the procedure outlined in the CCC catalogue. Fall 2011 M Clackler at Clinton Community College Page 6 of 8
7 Quiz and Exam Policies and Procedures: Students are responsible for knowing when each exam will be given and for being present on those days. If you miss an exam, your grade will be recorded as a zero: I DO NOT GIVE MAKEUP EXAMS. All course exams are cumulative; it is the nature of mathematics. If I can't understand what you have written, or it is illegible, you will receive zero credit for your response. You should clearly show all steps involved in solving a problem. If I cannot see your work, you will receive zero credit. In addition, I cannot give partial credit for answers if all of your work is not properly detailed. Scrap paper will be supplied at each exam; be sure that problems worked on scrap paper are properly numbered and labeled in order to earn credit for your work. To make each response clear, be sure to underline, box, or circle your final answer. If you work a problem more than once be sure to X out the incorrect response; you will receive minimal credit for a problem if more than one response is provided (even if one of the responses is correct). Desks must be cleared for all quizzes and exams, except for pencils, a calculator, and a straight edge. Do not speak with other students during a quiz or exam or I will assume you are exchanging answers. If supplies are needed, or you need a question answered, please ask me. Students found communicating during an exam will BOTH receive zeros for the quiz/exam. Students are not allowed to share supplies (such as a calculator) during a quiz or exam. I will assume you are exchanging answers and BOTH students will receive zeros for the quiz/exam. Students are expected to come to every quiz and exam prepared (i.e. supplied with sufficient pencils, their own calculator and a straight edge). Supplies (such as a calculator and pencils) will not be provided for the student during a quiz or exam. Students are not allowed to leave the room and return to complete a quiz or exam after said quiz/exam has been distributed. If a student leaves the room during a quiz or exam, the quiz/exam will be collected at the time the student leaves the classroom and graded asis. Students are allowed to leave once the quiz/exam has been completed and turned in. Students are not allowed to answer or reference cell phones, pagers, or other electronic devices during a quiz or exam; students found accessing such devices during a quiz or exam will receive a zero for the quiz/exam. All test materials need to be turned in with the exam (including scrap paper). Fall 2011 M Clackler at Clinton Community College Page 7 of 8
8 Miscellaneous Policies and Procedures: Assignments that are not completed in pencil will lose 20% of the earned value Electronic devices must be turned off or turned to vibrate. Answering a cell phone while in class is disruptive and therefore is prohibited. Course Continuity Plan: In the case that the college officially closes because of an emergency which causes a short term disruption of this course, we will utilize to continue this course in the short term (13 weeks). All students need to utilize their campus to receive course related information. Fall 2011 M Clackler at Clinton Community College Page 8 of 8
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