Algebra I



Kenwood Academy Mathematics DepartmentCity Colleges of Chicago Dual Credit ProgramCourse Title: General Education Mathematics (MATH 118)Syllabus 2015-2016Instructor: Mr. McEvoy-Hein Phone number: 535-1350 ext. 27383 E-mail: jcmcevoy-hei@cps.edu Tutoring Hours: TTH 8:00-8:50 Mr. Mac’s Schedule Period 12345678Room306306306306306SubjectGeometryAlgebra IIMath 118LunchPrepMath 118PrepAlgebra IICourse Description/Objective:This course is designed to fulfill general education requirements for students who are liberal arts majors. It is not designed as a prerequisite for any other college mathematics course. This course focuses on mathematical reasoning and the solving of real-life problems. Nine topics are to be studied in depth:, Critical Thinking and Problem Solving SkillsLogicHistorical Number SystemsNumber TheorySet TheoryCounting techniques ProbabilityStatisticsFinanceMathematical modeling will be integrated in any combination of topics selected. Technology and writing assignments will be used throughout the course as appropriate. Application involving problem solving skills are emphasized throughout the course.Textbook and Resources: Mathematical Ideas, 12th EditionAuthors: Miller, Heeren and HornsbyPublisher: PearsonDate: 2012Students who do not return a textbook will be charged for a replacement textbook.Credits: High School: Earning a D or above results in .5 credits per semester (1 credit for the entire year). Students will receive AP credit for this class.College: Earning a C or above results in 4 college credit hours.Materials NeededPencilsTextbookPack of colored pen (NOT black or blue)Pencil sharpener3 ring binder (2 in)Tablet of graphing paperLoose-leaf paper 5 Dividers Box of binder clipsScientific calculator or TI-84/TI-84+ graphing calculatorGrading PolicyYour grade will be computed using the following categories and point system:TypeCategoryPercentA90-100B80-89C70-79D60-69FBelow 60FormativeQuizzes30Performance TasksProjectsSummativeTests40Midterm/Final Exam20AssignmentsAssignments 5ParticipationClass WorkNotebook Quizzes5Total100%Unit 1 TitleCritical Thinking Skills and Problem SolvingUnit 6 TitleCounting TechniquesDates (15 days)September 8-September 25Dates (21 days)January 20-February 26Unit 2 TitleLogicUnit 7 TitleProbabilityDates (22days)September 28-October 28Dates (20 days)February 29-March 25Unit 3 TitleNumber SystemsUnit 8 TitleStatisticsDates (16 days)October 29- November 24Dates (15 days)March 28-April 26Unit 4 TitleNumber TheoryUnit 9 TitleFinanceDates (18 days)November 30-January 6Dates (15 days)April 27–May 17Unit 5 TitleSet TheoryDates (8 days)January 7-January 19Student Learning Outcomes: Upon satisfactory completion of the course, students will be able to: Critical Thinking and Problem Solving SkillsUse deductive or inductive reasoning to draw conclusionsIdentify the next term in a pattern or sequenceUse appropriate problem solving strategies to solve mathematical problemsLogicWrite negation statementsWrite statements using logic notationConstruct truth tablesWrite the converse, inverse and contrapositive of a statementRecognize the logical structure of an argument and determine its validity.Historical Number SystemsIdentify various historical numeration systemsConvert numeration systems to Hindu-ArabicConvert Hindu-Arabic numerals to Babylonian, Mayan, or Greek numeralsConvert numbers from decimal to a given baseNumber TheoryFind the all factors of a numberFind the prime factorization of a numberUse divisibility test to determine divisibility of numbersIdentify primes of the form 4k+1 and 4k+3Express primes as sums of squaresFind numbers using Euler’s and Escott’s FormulasIdentify deficient and abundant numbersExpress numbers as sums of primesApply Fermat’s Last TheoremFind the GCF by various methods: prime factors method, dividing by prime factors, Euclidean algorithmFind the LCM y various methods: prime factors method, dividing by prime factors, formulaSet TheoryUse set theory symbols and terms properly Determine complements, and subsets of setsFind the intersection and union of setsUse Venn diagrams as visual representation of operations with setsAnalyze data in a survey, in a data report, in a data tableCounting Techniques and ProbabilityApply the addition and multiplication rules of counting to a contextual (real world) situation.Apply permutations and combinations to a contextual situation.Determine and count the outcomes in an experiment.Apply Pascal’s Triangle to count outcomesProbabilityApply the addition and multiplication rules of probability.Formulate and apply discrete distributions to a contextual situation.Identify mutually-exclusive and independent events from contextual situations.Calculate binomial probabilitiesCalculate expected values and the fair cost of playing a game?StatisticsConstruct and interpret frequency distribution tables and graphs.Determine and interpret the measures of descriptive statistics (i.e., central tendency, dispersion, and position) in contextual situations.Apply properties of the normal distribution to contextual situations.Personal Financial ManagementApply the simple interest formula to calculate interest payments and partial payments on loans.Apply the compound interest formula to determine effective yield for an investment and to determine present value.Calculate finance charges for installment buying using unpaid balance method, average daily balance method and cash advances.Calculate costs involved in buying a house with a mortgage or other investments.?Students are required to read the chapters in the textbook before the topics are discussed in class so that class time can be devoted to more discussion, investigation, and activities with less time spent lecturing. Students will gain proficiency on accuracy and communication of statistical concepts throughout the course, to include effectively communicating how methods, results and interpretations of data for any given experiment are valid. Writing complete responses using appropriate justifications is a critical aspect of gaining statistical proficiency.Homework Assignments:Assignments are essential to the study and mastery of this course. Assignments are viewed as a reinforcement of the concepts discussed in class daily and will be factored into the final grade. Students are responsible for having all assignments completed on time and assignments will be collected at the end of each chapter. Students are responsible for grading their written assignments with their colored pens and asking questions about problems that are incorrect. Students will receive full credit on written assignments if the assignment is completed and graded with all necessary corrections. Homework will serve as a great tool for studying for exams. Cheating and/or plagiarism of any kind will not be tolerated. Evidence of such will result in a grade of 0 on the assignment or exam.Late assignments are only accepted upon teacher discretion.Format for Homework Assignments:Complete all assignments on loose leaf paper only.The heading should look as follows (in the right hand corner): Your Name Date Section#, page#, and problem #sTo receive full credit on each homework assignment (10 points):Homework is turned in on timeWrite problem number and show all necessary work for each problem All problems are attempted Homework is graded in a different color pen/pencilCorrections are made*Failure to follow proper procedure will result in a reduction of points on the assignments. * Your homework will be counted as late if it is not on your desk or if you are tardy during that time.*If you have an excused absence the day an assignment is due, you may full credit when you return to class. It is the student’s responsibility to make up assignments one day after returning from an absence. OrganizationStudents are required to maintain an organized binder that includes the syllabus, formula sheet, class notes, performance tasks, homework, tests and quizzes. No work should be thrown away! Students should organize their binder by unit and in chronological order. Binder checks will be in the form of short quizzes.Quizzes/Exams:Tests are given at the end of each chapter. Quizzes are given 1-2 times per chapter. For exams taking place in-class, there is to be no talking during a test or quiz. If you have a question during an exam please direct it to Mr. Mac. If caught talking or with a cell phone visible, this will be viewed as act of cheating, the exam will not be graded and the student will receive a grade of zero on the exam. Students are also expected to show all work to receive full credit on all exams problems. If there is an exam scheduled on the day that you have a field trip, you should make arrangements ahead of time to take the exam. If you are absent the class before a quiz or a test, you are still expected to take the test. Make-up exams are only given if you have a legitimate absence. It is the student’s responsibility to make arrangements within one day after returning from an absence to make up a quiz or test. If arrangements are not made students will not be allowed to make up the exam and will receive a zero.How to study and be successful in this classCome to class on a regular basis and be prepared to learn and do your bestRead the section or chapters assigned.Take neat and organized notes as instructed by teacherDo not hesitate to ask questions if you need to. Do all homework problems assignedSince 60% of your grade comes from exams, you must study for these exams. To prepare for exams, redo some problems from class notes and assignments. If there are concepts that you still do not feel confident about, do problems from the chapter review that apply to these concepts. If a study guide or practice test is provided, complete every problem and use this as your guide for the type of problems that will be on the exam.If you feel that you are struggling with the material and need one-on-one assistance or just some extra practice, please feel free to come to me for tutoring before school.Attendance/ Tardiness/Leaving ClassStudents are expected to come to class regularly and on time.You are expected to enter the class quietly, be seated and get out homework and proper materials for taking notes. You will not be allowed into the classroom after the 2nd bell rings without a tardy. Students arriving to class later than 3 minutes will be turned away and swept.It is the student’s responsibility to obtain the assignments and notes for any time out of the classroom. If absent on assignment due-date, it is due upon return. If absenteeism is known prior to occurrence, it is the student’s responsibility to obtain assignments beforehand.Students with unexcused absences or tardies will NOT: a) be able to turn in HW that was assigned during their absence b) get an extension on assignments due the day you return to class c) be able to make up tests, quizzes, or class work missedYou should use your passing period to take care of all of the business outside of our classroom (going to the bathroom/office/locker, getting water, etc.) Once we are in the classroom, we are in the classroom! Bathroom passes will be issued sparingly.Students are expected to take responsibility for their grade. It is important to spend time on this class daily Students should keep an organized binder, stay aware of assignment and project due dates and check their grades regularly.HWC PoliciesStudent Policy Manual It is essential that you follow City Colleges of Chicago current student policy. Please read all relevant topics from the link below: ?“No Show” PolicyIf a student registered for the course before the start time of the first class period did not attend the first 2 classes the instructor will inform the Registrar’s Office to remove the student from the course. Administrative Withdrawal “ADW” PolicyA student will be withdrawn at midterm and will be assigned a grade of ADW if he/she did not actively pursue the course up until midterm. Withdrawal “WTH” PolicyNot attending classes does not constitute withdrawal from the course. After midterm, instructors can no longer drop students from the course. If students stop attending classes after the midterm, the instructor can only assign a grade of F. If you no longer attend classes, it is essential that you withdraw from the course. Contact your instructor about the last day for student initiated withdrawal to receive a grade of WTH instead of F.Academic Integrity: The City Colleges of Chicago is committed to the ideals of truth and honesty. In view of this, students are expected to adhere to high standards of honesty in their academic endeavor. Plagiarism and cheating of any kind are serious violations of these standards and will result, minimally, in the grade of “F” by the instructor.Academic Dishonesty: Academic dishonesty is a serious offense, which includes but is not limited to the following: cheating, complicity, fabrication and falsification, forgery, and plagiarism. Cheating involves copying another student’s paper, exam, quiz, use of technology devices to exchange information during class time and/or testing. It also involves the unauthorized use of notes, calculators, and other devices or study aids. In addition, it also includes the unauthorized collaboration on academic work of any sort. Complicity, on the other hand, involves the attempt to assist another student to commit an act of academic dishonesty. Fabrication and falsification, respectively, involve the invention or alteration of any information (data, results, sources, identity, and so forth) in academic work. Another example of academic dishonesty is forgery, which involves the duplication of a signature in order to represent it as authentic. Lastly, plagiarism involves the failure to acknowledge sources (of ideas, facts, charges, illustrations and so forth) properly in academic work, thus falsely representing another’s ideas as one’s own.Penalties for Academic Dishonesty: In individual cases of academic dishonesty, sanctions may range from a written warning to a failing grade for the course; the severity of the penalty is left to the discretion of the instructor. Additional sanctions may be imposed up to and including dismissal from the City Colleges when circumstances warrant it.Classroom Policies and ProceduresRespect for one another and classroom decorum will be maintained at all times. Students are expected to adhere to the Chicago Public Schools Uniform Discipline Code and Kenwood Policy of conduct regarding academics, behavior and dress. In addition, in this class the following policies will be consistently enforced to ensure that every student receives the instructional time and atmosphere that he/she deserves.Be in class before the tardy bell rings.Wear ID at all times.Students who come late to class are very disruptive to the rest of the class. If you are unavoidably late, please enter the room quietly and with a tardy pass. You may not enter class without a pass. Students that are more than 3 minutes late will need to report to hall sweeps. Come to class prepared to learn. (sharpened pencil, colored pen, paper, calculator, notes, book)Take notes daily.Do not get out of your seat without permission.Do not blurt out questions or answers. Raise your hand and wait to be called on.Ask questions if you do not understand what is on the board.Respect all property. (School property, personal property, and other’s property)Respect all ideas given in class and do not criticize anybody’s ideas or thoughts.There will be limited restroom breaks. Students should go to the restroom before class and return before the bell rings. Students will not be allowed to leave the class during the first 10 minutes or last 10 minutes of the class.Students leaving and returning to class during class is also very disruptive. Please take care of any personal business before or after class. All exams have a time limit. Students must turn in assignments and exams within the allotted time. Keep all graded work. If questions arise, it is your responsibility to produce the original document for verification.Eating and drinking is not permitted in the classroom at any time.Cheating and/or plagiarism of any kind will not be tolerated. Evidence of such will result in a grade of zero on the assignment or exam and possible disciplinary action.Cell phones and other electronic devises must be turned off or silenced and may not be visible during class. Phones may not be visible during exams and cannot be used as a calculator. InsubordinationSleeping in class, doing nothing, working on a non-math 118 assignment, excessive talking, teacher or peer disrespect, disruptive behavior, playing with a calculator inappropriately (games), playing with electronic devices such as cell phones, i-pods, etc. will result in the following actions:WarningStudent-Teacher ConferenceParent/Guardian Call HomeAfter School Detention or Referral to an AdministratorMath 118 Course Syllabus2015– 2016 School YearThis form is considered the first homework assignment and will be collected. Please read and sign your names below.This acknowledges that the parent(s) and child have read the syllabus for his/her math class with and understands the contents thereof. __________________________________________ _____________STUDENTStudents Signature Date__________________________________________Print Name of StudentStudent email: __________________________________ Headphones/Technological Devices Policy:Headphones (I-pods and like), cell phones, cameras, recording devices and anything that is deemed a technological device is banned from ________________________________________ classroom. __________________________________________ _____________Students Signature Date__________________________________________Print Name of StudentPARENT /GUARDIAN________________________________________ ______________Parent/Guardian SignatureDate________________________________________Print Name of Parent/Guardian Parent email: ___________________________________ Parent phone number: ________________________Do you have a login to Grade Book?Circle one:YES NO What is the best way to contact you? Circle one:Phone Email ................
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