COCHISE COLLEGE Cochise College provides accessible educational opportunities that are responsive to a diverse population and lead to constructive citizenship, meaningful careers, and lifelong learning. Cochise College is committed to continuous improvement in order to provide the best possible service. A key part of this commitment involves assessing student learning outcomes. Assessment, which occurs apart from the regular grading of student work, is conducted by faculty using tests, research papers, projects, presentations or standardized examinations to discover how well students who have passed a course actually achieved the expected learning goals. Faculty members analyze the results so they can develop strategies to help improve student learning in future classes. Course # and Name: MAT071 Developmental Mathematics Level I Semester: Fall 2011 MAT081 Developmental Mathematics Level II MAT123 Developmental Mathematics Level III CRN Meeting Days Meeting Time Site Building Room 1 st, 2 nd 8-week Multiple MTWTH 1100-1300 Ft H 21112 3 Both Instructor Information: Instructor Name: Mark Gibson Office Location: Sierra Vista Campus, Science Bldg., Room 1122/ Fort Huachuca Bldg. 21112, Room 3 Office Hours: Fort Huachuca, Bldg. 21112 Room 3, M-T-W-Th 10:00-11:00 AM, Contact Information: Phone Number: 520-515-5442 Email Address: Gibsonm@cochise.edu 1
Developmental Mathematics Course Procedures Course Information Developmental mathematics at Cochise College is delivered in a fifteen-module format. These modules include the outcomes of the developmental math sequence, mastery of which is essential for success in certain college-level courses and programs. Students are allowed to progress at their own pace provided they meet the minimum course requirements. They may progress beyond those requirements in each course. Developmental Mathematics Level I (MAT 071) is the first of three courses in the developmental math sequence. All students who score below college level on the placement exam must enroll in MAT 071. Completion of modules 1 through 5 is the minimum course requirement. Developmental Mathematics Level II (MAT 081) is the second of three courses in the developmental math sequence. Students who complete MAT 071 with a grade of C or better may enroll in MAT 081. Completion of modules 6 through 10 is the minimum course requirement. Developmental Mathematics Level III (MAT 123) is the third of three courses in the developmental math sequence. Students who complete MAT 081 with a grade of C or better may enroll in MAT 123. Completion of modules 11 through 15 is the minimum course requirement. Completion of all fifteen modules will be considered equivalent to a traditional Intermediate Algebra (MAT 123) course. Course Descriptions and Prerequisites MAT 071 Developmental Mathematics Level I 4 CREDIT HOURS A study of basic arithmetic skills and techniques of computation. Includes fundamental operations with whole numbers, integer exponents, fractions, mixed numbers, decimals, prime numbers, square roots, percent and percent applications, systems of measurement, and geometry. Requires completion of modules 1 through 5. Prerequisite: Appropriate placement test score MAT 081 Developmental Mathematics Level II 4 CREDIT HOURS An introduction to the basic algebra normally included in high school Algebra I. Includes fundamental properties and operations of real numbers, algebraic expressions, linear equations and inequalities, literal formulas and equations, graphing of linear functions and inequalities, properties of exponents, polynomial operations and factoring, quadratic equations. Requires completion of modules 6 through 10. Prerequisite: MAT081 MAT 123 Developmental Mathematics Level III 4 CREDIT HOURS A continuation of algebra concepts equivalent to the content normally covered in high school Algebra II, with review of the real number system, linear equations, absolute value equations and inequalities, functions, basic analytical geometry, systems of equations, polynomials, exponents, radicals, and quadratic equations. Requires completion of modules 11 through 15. May or may not transfer to four-year universities. Prerequisite: MAT123 2
MODULES: Level 1: Modules 1-5 replace the former MAT 071 Fundamental Mathematics course. Level 2: Modules 6-10 replace the former MAT 081 Elementary Algebra course. Level 3: Modules 11-15 replace the former MAT 123 Intermediate Algebra course. Minimum Course Outcomes Module 1 1. Operations on whole numbers, including using order of operations and rounding 2. Prime factorization of whole numbers 3. Least common multiple of two or more whole numbers 4. Exponential notation and expand an exponential expression 5. Operations on signed numbers 6. Application problems Module 2 1. Operations on and simplify fractions and mixed numbers, including using order of operations 2. Application problems Module 3 1. Operations on decimals, including using order of operations and rounding 2. Conversions between fraction and decimal notations 3. Application problems Module 4 1. Operations with percents 2. Ratio and proportion problems 3. Conversions between percent, decimal, and fraction notation Module 5 1. Identification and classification of basic geometric shapes 2. Perimeter and circumference, area, and volume of figures 3. Properties of triangles Module 6 1. Operations on real numbers, including using order of operations. 2. Simplifying and evaluating algebraic expressions 3. Translating phrases into algebraic expressions Module 7 1. Algebraic equations and formulas 2. Inequalities 3. Absolute value equations Module 8 1. Graphs of linear equations 2. Slope and intercepts of linear graphs and equations 3. Application problems 3
Module 9 1. Operations on polynomials 2. Properties of exponents and simplify expressions 3. Division of polynomials Module 10 1. Factoring trinomials, differences of squares, four-term expressions, and the sum/difference of cubes 2. Solving quadratic equations using factoring 3. Application problems Module 11 1. Operations on and simplifying rational expressions 2. Rational equations 3. Simplifying complex rational expressions Module 12 1. Systems of equations in two and three variables 2. Application problems Module 13 1. Simplifying radical expressions, including rationalizing the denominator 2. Operations on radical expressions 3. Radical equations Module 14 1. Expressions involving rational exponents 2. Identify functions from graphs 3. Function notation and function values Module 15 1. Operations on complex numbers, including rationalizing the denominator 2. Solving quadratic equations by completing the square and using the quadratic formula 3. Application problems Required Student Materials You need a MyMathLab access code (purchased in the bookstore or purchase when you log-in at cochise.mylabsplus.com). The code will allow you access to homework, tests, guidebook, e-text, videos, animation, and PowerPoint presentations. The access code is valid for 18 months from date of activation. A photo ID is required for taking tests. A three-ring binder and notebook is required for notes, worksheets and printed materials. Students with Disabilities: If you have a documented disability and require any auxiliary aids, services or other accommodations as a student at Cochise College, please contact the ADA coordinator at 515-5337. 4
Class Information: How this course works Instruction You will work through one module at a time. Once a module is successfully completed, you will begin the next module. You will work at your own pace you may complete as many modules as you choose, but are expected to complete at least eight modules (with a minimum of five modules) each semester. In subsequent semesters, you will continue working where you left off in the previous semester. The course assignments in each module consist of PLACEMENT, Homework, Practice Test and TEST. All homework and Practice Tests can be accessed from any computer with an internet connection. The PLACEMENT and TEST require a password and must be taken in the Math computer lab. Only homework and TESTS are counted in your grade (PLACEMENTs and Practice Tests are not counted). You have unlimited* attempts on all homework, Practice Tests, and TESTS (only one attempt on the PLACEMENT). Furthermore, you are allowed to improve your scores on any homework or TEST from any previous module in the semester. *If you do not pass a Practice Test or a TEST in five attempts, you will be required to review your test with an instructor. Please bring your work for the test to your instructor. After the review with your instructor, you will be allowed to take the test again. You are expected to work in the Math Computer Lab during your scheduled class time. You may also work in the lab during Open Lab hours. The Math Computer Lab staff is available to help you whenever a concept is not clear or you are having difficulty with a problem. This means help when you need it. You may also work in the Math Computer Lab outside of your scheduled class time during Open Lab hours. Tutors will be available and happy to assist you. There are many modes of instruction available on MyMathLab a customized guidebook, videos, e- textbook, animations, and PowerPoint presentations. In addition, with every homework problem, you may get interactive step-by-step instruction (see the Help Me Solve This tab) or see an example of a similar problem (see View an Example tab). You may access any of these modes of instruction from any computer with a fast connection including your home computer. In addition, you may choose to print out portions of the guidebook or e-text from your home computer. Internet Resources: In addition to the resources in MyMathLab, the following are quite helpful: o http://www.khanacademy.org/ A wealth of videos and exercises from Bill Gates favorite teacher. o www.youtube.com YouTube can be a great resource. Search for the topic you are doing and pick videos posted by teachers or professors. o http://www.mathvids.com/topic/mathhelp/8-pre-algebra Pre Algebra topics (registration may be required but it is free). o http://www.wolframalpha.com/ Enter what you need help doing (equations, LCM, etc) and follow the prompts. o http://mathforum.org/library/drmath/drmath.middle.html Drexel University s Math Department has an awesome help site. o http://www.coolmath.com/prealgebra/index.html It s for kids, but it s awesome. 5
Types of Assignments: Every module consists of four types of assignments PLACEMENT, Homework, Practice Test, and TEST and these are described below. In addition, you are required to complete a 10-question paper final at the end of Module 5 and Module 10, and a 20-question paper test at the end of Module 15. You will have only one attempt on these tests. Your scores on these tests will count as a TEST score in the last Module (5, 10, or 15). 1. PLACEMENT This test must be taken in the Math Computer Lab and with a photo ID. A tutor is needed to input the password. This test can only be taken one time (make sure you have enough time to complete entire test before you start it). Your score does not count in your grade. Your score determines what you need to study in each module. If your score is 80%, o Inform your instructor. Your score on the PLACEMENT will be entered as your score for the TEST in that module. (You are still allowed to improve your scores on homework or the TEST in that module, if you choose). Any homework credited by the PLACEMENT test must be completed to the 80% level before the score counts as test. o Go on to next module. If your score is 80%, o MyMathLab will automatically assign homework based on the problems that you answered correctly and those that you missed. Go to first homework assignment. 2. Homework To help you complete each homework assignment, you should read the Guidebook and e-text and watch accompanying videos and animations. Step-by-step instruction and worked examples are also available with each homework problem (see the icons to the right of the problem). You must score 80% on each homework assignment to access the Practice Test for each module. You may make unlimited attempts at any homework; only your best score is counted. Once you are satisfied with your score, continue onto the next homework assignment. 3. Practice Test This score does not count in your grade. You must score 70% to take the module TEST. You may make unlimited* attempts. Students are encouraged to meet with instructors to review practice test results. *If you do not pass a Practice Test in five attempts, you will be required to review your test with an instructor. Please print the Practice Test and bring your work for the test to your instructor. After the review with your instructor, you will be allowed to take the test again. This test may be printed (from any computer connected to a printer) for studying offline. 4. TEST This test must be taken in the Math Computer Lab and with a photo ID. A teacher or professional tutor is needed to input the password. No books or notes allowed during testing. Scratch paper will be provided by the instructor. No other windows may be open on the computer besides MyMathLab test. No calculators are allowed (except in Modules 4, 5, and 11-15). You may make unlimited attempts*; only your best score is counted. o *If you do not pass a TEST in five attempts, you will be required to review your test with an instructor. Please bring your work for the test to your instructor. After the review with your instructor, you will be allowed to take the test again. You must score 80% in order to move on to next module. 6
*In every chapter, MyMathLab also includes two Sample Tests (e.g., Chapter 1-A and Chapter 1-B). These may be accessed at any time and do not count in your grade. You may wish to preview these tests before taking the PLACEMENT to improve your score. To access these tests, click on QUIZZES and TESTS these sample tests are listed at the bottom of the page. 5. FINAL These tests are on paper, not in MyMathLab and are taken after Modules 5, 10, and 15. Your score will count as one test grade and be included in Module 5, 10, or 15. Assignment Minimum Score # of Attempts Counts in Grade? Password? Prerequisites PLACEMENT 0% 1 No Yes 80% on previous mod TEST Homework 80% Unlimited Yes No PLACEMENT Practice Test 70% 5/Unlimited* No No 80% on homework TEST 80% 5/Unlimited* Yes Yes 70% on Practice Test Grading: Performance measures, conditions and standards. The student will be evaluated on the basis of performance on the following: To receive a passing grade, you must complete the five modules for your course: MAT071 (Modules 1-5), MAT81 (Modules 6-10), or MAT123 (Modules 11-15). While the course is self-paced, you should remember that five modules is a typical course. Completing more than five modules will help you expedite your course completion. We recommend completing eight modules in a semester. Your grade will be determined by the average of the five best module scores. For example, if you complete five modules with an A average, you may continue working in more modules without fear of lowering your grade. Grades are weighted as follows: o 20% Homework o 75% TESTS o 10% Attendance The Grade Scale is as follows: o A 90 100% (after module 5, 10, or 15 is completed) o B 80 89% (after module 5, 10, or 15 is completed) o C 70-79% (after module 5, 10, or 15 is completed) o I Any % (if module 5, 10, or 15 has been started but not completed) o F Any % (if module 5, 10, or 15 has not been started) Grade Standards for Cochise College A: The highest academic grade possible; an honor grade which is not automatically given to a student who ranks highest in the course, but is reserved for accomplishment that is truly distinctive and demonstrably outstanding. 7
B: A grade that denotes achievement considerably above acceptable standards and mastery of course materials C: Indicates a satisfactory degree of attainment and is the least acceptable standard for graduation from college or additional studies within the discipline. This grade implies completion of the minimum outcomes identified in the course curriculum. I: Denotes that the student and instructor have agreed to an incomplete grade and have signed an incomplete grade form and filed it with the registrar. F: Indicates inadequate or unsatisfactory attainment, serious deficiency in understanding of course material, or failure to complete requirements of the course. Attendance is mandatory! Students are required to attend class every day. Attendance will be recorded each class. Students who are not making sufficient progress and/or are consistently missing class may be locked out of MyMathLab. Any student who is locked out of MyMathLab is responsible for contacting the instructor. Students who are locked out of MyMathLab have one week to contact the instructor. Students who do not contact the instructor may be dropped from the class. If you are tardy or leave early, your instructor may choose to count you absent. Instructor Policies Timing In most four-credit-hour college courses, the average student spends 8 to 16 hours per week studying to be successful in the course. In this course, you are required to spend four hours per week in the Math Computer Lab, but are always welcome and encouraged to spend more time. You may work on homework and Practice Tests anywhere, but it s helpful to have the lab tutors available for answering questions. Your success in this course will be enhanced by the amount of time you spend doing math. Calculators In general, calculators are not allowed for tests (except in Modules 4, 5, and 11-15). Graphing calculators are not allowed. If you do use a calculator for homework (it is NOT encouraged), please ensure that you can complete the work without a calculator, as you will need to do for the tests. You are STRONGLY advised not to use a calculator for homework in Modules 1-3. The following table summarizes calculator use for module PLACEMENTs and TESTs. Module 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Calculator No No No Yes Yes No No No No No Yes Yes Yes Yes Yes Cell Phones Cell phones will not be allowed during class. Please turn off the cell phone and store in your bags or purses. One warning will be given. A second infraction will result in dismissal from class for that day. A third infraction will result in meeting with the Dean of Instruction. Academic Integrity You are expected to do your own work on the tests. Cheating on tests, misrepresentation of attendance, falsifying records, or lying will result in loss of credit for all work involved. Additional sanctions will be imposed as appropriate, in accordance with Cochise College s Academic Integrity policy found in the Student Handbook. 8