Time Commitment Expect to spend hours per week outside of the instruction period. This means at least 7 hours outside of school per week.

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1 EARLY COLLEGE HIGH SCHOOL SPRING 2018 PPCC MAT 121.4S1: College Algebra GT MA 1 4 credits Course Syllabus Course Details Course Schedule: M-F Periods 3 and 4 Classroom: Room 192 Instructor: Brandi Kraft Brandi.Kraft@d11.org ECHS Main Phone: Website: Text: College Algebra Graphs and Models by Bittinger, 6th ed. Calculator: TI-83+ or TI-84 Graphing Calculator (or equivalent) is required. These calculators are available to check out from the library. Cost to replace a lost calculator is $100 TI-89 s or 92 s are not acceptable, Cell Phones are not acceptable Prerequisite: Accuplacer score of 85(EA), or recent ACT score of 23 or above. NO Cell Phone use allowed in class, except if listening to music during lab Grades will be posted online at: and on Q Math Tutoring: Free instructional help is available at ECHS on Tues at lunchtime and Thurs after school from 3:00-3:30 in Room 174 with myself and Mr. Beretta. Free instructional help is also available in the PPCC Math Centers. Please check posted hours and locations for the PPCC Math Center nearest to you online at ppcc.edu. Time Commitment Expect to spend hours per week outside of the instruction period. This means at least 7 hours outside of school per week. Course Description College Algebra explores topics including solving equations and inequalities, functions and their graphs, exponential and logarithmic functions, linear and non-linear systems. In addition to the mathematics we will be investigating, you will learn how to read, write, and communicate about mathematics. You will do this by reading the textbook and discussing problems in class. This course is one of the Statewide Guaranteed Transfer courses, GT-MA1, see below for more information. Course Requirements College Algebra is a foundational mathematical discipline. This course will emphasize understanding concepts rather than following a set of rules. Topics will be considered geometrically, numerically, algebraically, and verbally. A major part of conceptual understanding is an appreciation for the logical structure of algebra. For this reason, concepts may be presented by statement, proof, explanation, and intuitive argument. There is also a great deal of technical skill involved in algebra. It is our hope that you will find what you learn in this course to help you develop strengths in communication, problem-solving, and critical thinking. We will cover sections 1.1, 1.2, 6.1, 6.2, 7.2, 7.4 and Chapters 2-5. We will also briefly review the Prerequisite Topics of 8 of the Review Topics and sections 1.3, 1.4, 1.5, and 1.6. It is expected that students read the text before class each day to enhance participation in class discussion and understanding of the concepts. Students are expected to be part of the learning community in this classroom. Participation, respect, and best effort are to be part of each student s responsibility. Students are expected to arrive on time and be alert and attentive in class. Students are encouraged to participate in discussions and work together on worksheets, all other conversations must be kept until after class.

2 Attendance Attendance will be taken at each class. Students are responsible for class material regardless of attendance. Regular attendance is vital for success in this class. Punctuality is recommended and greatly appreciated. Academic Expectations We are in a college level setting and college level work is challenging. We expect our students to develop a sense of ownership to learn the math concepts and to responsibly engage with the course materials. Students should be timely and consistent in completion of course requirements. Each math course is designed to prepare students to be contributing members in their field of interest. We realize that math courses involve struggling with new concepts and this is a shared experience. Our goal is to collaborate with students so that they can successfully complete each chapter and each course. Homework Homework will account for 5% of your total grade It is essential that you do your homework diligently to succeed in this course. You are responsible to complete any problems that are not completed at school. During the first week (the Prerequisite Topics), your homework will be from the book. After the first week, all your homework will be online with MyMathLab (MML) We will cover how to access MML during the second week of class The answers to homework problems (after the first week) are entered in MML, however, students are expected to completely work out each problem neatly and in an organized manner in a notebook as if it was a written assignment. I will be checking your notebook most days to guide you in how to correctly work a problem algebraically. You should be circling any problem that you get help with so that you have a record of the problems you are struggling with. Then you should go back and do another similar problem like that one until you can do it without any help. Each section of each chapter of homework has a due date. Each section will be due about hours after we have covered that section in class. The due date is displayed in MML. Know and complete each section by its due date. All sections covered for a test will be counted as one homework score. The lowest homework score will be dropped at the end of the semester. If you are absent you are still responsible to keep up with each section on schedule, unless in extenuating circumstances. I want you to be successful. Here s how to succeed with your assignments: INVEST TIME working ALL problems. ASK QUESTIONS of your instructor, classmates, tutors, PUT IN THE TIME EACH DAY to complete the problems Make good use of CLASSWORK TIME, after school tutoring and the math centers Work each homework problem on paper, neatly, organized, algebraically correct Tests There will be five Chapter tests, worth 60% of your total grade. All answers must be accompanied by the appropriate work in an organized and mathematically correct format for full credit to be awarded. No test score is dropped No retake tests are allowed for any reason. Notes, formulas, and phones are NOT allowed on any test Use of notes, formulas or phones will result in a Zero on that test and a write-up in Q, and possible consequences with the dean If your Final Exam score is higher than a Chapter test, I will replace the lowest Chapter Test score that is greater than a zero (for which the final is higher) with the Final Exam score. NOTE: You may NOT replace a chapter test that has a score of zero with your final exam score. All tests include problems that extend the concepts of the homework and thus challenge your understanding. They may require creative integration of concepts covered. All students will have the same amount of time to complete exams unless registered with OASIS.

3 Quizzes Quizzes will account for 5% of your total grade The Prerequisite Quiz will count as your first quiz score All the rest of the quizzes will be assigned in mml. They will be assigned with each section of mml homework and will be due (online) on the day of the test. There are quizzes for each section that we cover. One quiz score will be the sum of all the section quiz scores for that chapter. You need to work the quiz problems on your own. Treat them like a test, with the exception that you can look things up in your notes and book if you are stuck, but try to complete them without looking anything up. These quizzes are great preparation for each test. The lowest quiz score will be dropped at the end of the semester. Take-home Worksheets There is one take-home worksheet for each chapter. It will cover the first four sections of each chapter. I encourage students to look up similar problems in MML and in the book, work with classmates, find similar problems in your book and ask your instructor, or go to the PPCC Math Centers to help complete these worksheets. You must show all work for each problem on the worksheet. Each worksheet will have its own due date and must be turned in by that date. Only if the student has an excused absence, may they turn the worksheet in after the due date. The take-home worksheets will account for 5% of your total grade. The lowest worksheet score will be dropped at the end of the semester. Groupwork There will be one group worksheet and one group activity for each chapter. The group worksheet will cover the last two sections of each chapter. I will break the class into groups of three or four and have each group work together on a worksheet. I will grade each of them based on the correctness of the solution as well as participation and effort within the group. The student must attend class to get credit for the group worksheet. The group activity will be graded on participation and effort. If the student has an emergency on groupwork day, then they can drop that group worksheet score. If the student has more than one emergency on a groupwork day then we will work something out at that time. You must show all work for each problem on the worksheet. The groupwork will account for 5% of your total grade. The lowest groupwork score will be dropped at the end of the semester. Final Exam Final Exam is worth 20% of your grade. All students must take the comprehensive final regardless of their grade to date. All students must take the Final Exam in order to receive a passing grade. The post-assessment quiz in MML measures students progress and must be a part of the final exam score, counting 5% of the final exam grade. The Final Exam date is Tuesday and Wednesday May 22 nd and 23 rd. Grading Policy Your grade will be based on the following scale: Breakdown of total grade: Homework: 5% % = A Quizzes: 5% 80-89% = B Tests: 60% 70-79% = C Take-home Worksheets: 5% 60-69% = D Groupwork: 5% 0-59% = F Final Exam: 20% Total: 100% All your work must be done during the semester! And this work must be on your homework, quizzes, worksheets, and tests! There is no extra credit work during the semester and no extra credit work once the semester is over.

4 Academic Honesty The following is from the Student Standard of Conduct, found website of PPCC : Students are expected to conduct themselves according to the highest standards of honesty in the classroom, shop, or laboratory. Failure to do so is grounds for disciplinary action, including suspension or expulsion from Pikes Peak Community College. Academic dishonesty is defined as the unauthorized use of assistance with intent to deceive a faculty member or another person assigned to evaluate work submitted to meet course and program requirements. Examples of academic dishonesty include, but are not limited to, the following: the submission, in whole or part, of material prepared by another person and represented as one s own plagiarism, which is defined as the act of taking the writings, ideas, etc., of another person and passing them off as one s own the unauthorized use of notes, books, or other materials; the deliberate, unacknowledged reference to the work of another student; or the soliciting of assistance from another person during an examination illegitimate possession and/or distribution of test materials or answer keys unauthorized alteration, forgery, or falsification of official academic records. Guaranteed Transfer (GT) Pathways Course Guaranteed Transfer (GT) Pathways Course Statement: The Colorado Commission on Higher Education has approved MAT 121 College Algebra for inclusion in the Guaranteed Transfer (GT) Pathways program in the GT-MA1 category. For transferring students, successful completion a minimum C grade guarantees transfer and application of credit in this GT Pathways category. For more information on the GT Pathways program, go to CONTENT CRITERIA FOR GT-MA1 COURSES Students should be able to: Demonstrate good problem-solving habits, including: o Estimating solutions and recognizing unreasonable results. o Considering a variety of approaches to a given problem, and selecting one that is appropriate. o Interpreting solutions correctly. Generate and interpret symbolic, graphical, numerical, and verbal (written or oral) representations of mathematical ideas. Communicate mathematical ideas in written and/or oral form using appropriate mathematical language, notation, and style. Apply mathematical concepts, procedures, and techniques appropriate to the course. Recognize and apply patterns or mathematical structure. Utilize and integrate appropriate technology. COMPETENCIES AND STUDENT LEARNING OUTCOMES ASSOCIATED WITH GT-MA1 COURSES GT PATHWAYS COMPETENCY: QUANTITATIVE LITERACY Competency in quantitative literacy represents a student s ability to use quantifiable information and mathematical analysis to make connections and draw conclusions. Students with strong quantitative literacy skills understand and can create sophisticated arguments supported by quantitative evidence and can clearly communicate those arguments in a variety of formats (using words, tables, graphs, mathematical equations, etc.) Student Learning Outcome (SLO 1): Interpret Information o Explain information presented in mathematical forms (e.g., equations, graphs, diagrams, tables, words). Student Learning Outcome (SLO 2): Represent Information

5 o Convert information into and between various mathematical forms (e.g., equations, graphs, diagrams, tables, words). Student Learning Outcome (SLO 3): Perform Calculations o Solve problems or equations at the appropriate course level. o Use appropriate mathematical notation. o Solve a variety of different problem types that involve a multi-step solution and address the validity of the results. Student Learning Outcome (SLO 4): Apply and Analyze Information o Make use of graphical objects (such as graphs of equations in two or three variables, histograms, scatterplots of bivariate data, geometrical figures, etc.) to supplement a solution to a typical problem at the appropriate level o Formulate, organize, and articulate solutions to theoretical and application problems at the appropriate course level. o Make judgments based on mathematical analysis appropriate to the course level Student Learning Outcome (SLO 5): Communicate using Mathematical Forms o Express mathematical analysis symbolically, graphically, and in written language that clarifies/justifies/summarizes reasoning (may also include oral communication). Student Learning Outcome (SLO 6 required for Statistics courses only): Address Assumptions o Describe and support assumptions in estimation, modeling, and data analysis, used as appropriate for the course. List of Course Learning Outcomes 1. Demonstrate an understanding of set notations, subsets of the real numbers and properties of real numbers. 2. Perform algebraic manipulations including working with exponents, radicals, polynomial operations, factoring and algebraic fractions. 3. Solve the following types of equations: linear, quadratic, rational, exponential, logarithmic equations, radicals, equations in quadratic form and equations involving absolute value. 4. Demonstrate an understanding of formulas including formula evaluation and solving a formula for any of the variables. 5. Read and analyze problems in the form of word problem applications and obtain solutions using equations. 6. Solve and graph first degree inequalities, higher degree inequalities and inequalities involving absolute value. 7. Recognize and graph linear functions, rational functions, absolute value functions, and graph inequalities in two variables. 8. Work with function notation and demonstrate knowledge of the meaning of a function. 9. Demonstrate an understanding of function composition, one-to-one functions and inverse functions. 10. Examine, evaluate and graph exponential and logarithmic functions. 11. Use at least two of the following techniques to solve linear and non-linear systems of the equations: substitution, addition, Gaussian elimination, Cramer's rule. 12. Perform operations with matrices and use a matrix operation. 13. Graph systems of inequalities. 14. Identify the conic section represented by a given second degree equation and graph conic sections including circles, parabolas, ellipses and hyperbolas. 15. Explore various topics related to sequences and series including series notation, sequence formulas, counting principles, mathematical induction and the Binomial Theorem. 16. Perform synthetic division. 17. Use the Remainder Theorem and the Factor Theorem to factor and evaluate polynomials. 18. Solve polynomial equations using the Rational Root Theorem and/or approximation techniques. 19. Write and speak clearly and logically in presentations and essays. 20. Demonstrate the ability to select and apply contemporary forms of technology to solve problems or compile information. AMERICANS WITH DISABILITIES ACT Any student eligible for academic accommodations due to a disability or would like to consult with a disability specialist should contact the Office of Accommodative Services (OASIS) at Please visit our webpage for additional information Additional college wide policies can be found in the institutional syllabus located on the college website: **Note: Changes and revisions to the course syllabus may be made at any time during the semester as circumstances dictate.

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