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MARSHALL COUNTY HIGH SCHOOL Mrs. Charlotte ZajacSYLLABUS FOR PRECALCULUS HONORS (Course #3126H-001) Fall 2015 Room #140Course Description:Prerequisites: Algebra II Honors and Geometry Honors or minimum ACT Math Score of 19.Precalculus is for those university path students planning a college curriculum which will require more than the minimum of science, math, and/or technology. This course, as its name implies, may serve as a lead-in for high school calculus or may be a final math course for those not desiring to take calculus at the high school level. This year, we are participating in a Statewide Dual Credit program, which will allow students to receive college credit for Precalculus upon successfully passing a Challenge Exam at the end of the course. The exam is required for all students enrolled in the class and will be given during school hours at no cost to the student.Course Outline:First QuarterUnit One-Functions and Their GraphsGraphs of EquationsFunctionsAnalyzing Graphs of FunctionsA Library of Parent FunctionsTransformations of FunctionsCombinations of Functions: Composite FunctionsInverse FunctionsMathematical Modeling and VariationUnit Two-Polynomial and Rational FunctionsQuadratic Functions and ModelsPolynomial Functions of Higher DegreePolynomial and Synthetic DivisionComplex NumbersZeros of Polynomial FunctionsRational FunctionsNonlinear InequalitiesSecond QuarterUnit Three-Exponential and Logarithmic FunctionsExponential Functions and Their GraphsLogarithmic Functions and Their GraphsProperties of LogarithmsExponential and Logarithmic EquationsExponential and Logarithmic ModelsUnit Four-TrigonometryRadian and Degree MeasureTrigonometric Functions: The Unit CircleRight Triangle TrigonometryTrigonometric Functions of Any AngleGraphs of Sine and Cosine FunctionsGraphs of Other Trigonometric FunctionsInverse Trigonometric FunctionsApplications and ModelsThird QuarterUnit Five-Analytic TrigonometryUsing Fundamental IdentitiesVerifying Trigonometric IdentitiesSolving Trigonometric EquationsSum and Difference FormulasMultiple-Angle and Product-to-Sum FormulasUnit Six-Additional Topics in TrigonometryLaw of SinesLaw of CosinesVectors in the PlaneVectors and Dot ProductTrigonometric Form of a Complex NumberHONORS CONTENT: Students will prepare and poster and descriptive story using an actual or proposed trip between three cities to illustrate the Law of Sines/Law of Cosines (component #3).Unit Seven-Systems of Equations and InequalitiesSystems of InequalitiesUnit Ten-Topics in Analytic GeometryPolar CoordinatesGraphs of Polar CoordinatesHONORS CONTENT: Technology labs will be incorporated into this unit to illustrate the application of polar measurements (component #6).Unit A-Review of Fundamental Concepts of AlgebraRational ExpressionsSolving EquationsLinear Inequalities in One VariableFourth QuarterUnit Eight-Matrices and DeterminantsOperations with MatricesThe Inverse of a Square MatrixUnit Nine-Sequences, Series and ProbabilitySequences and SeriesArithmetic Sequences and Partial SumsGeometric Sequences and SeriesThe Binomial TheoremHONORS CONTENT: Students will participate in a group activity to identify data that represents a sequence (arithmetic and geometric); the group will produce scenarios that reflect the sequence and possible quiz questions (component #4).Unit Ten-Topics in Analytic GeometryIntroduction to Conics: ParabolasEllipsesHyperbolasParametric EquationsUnit Twelve-Limits and an Introduction to CalculusIntroduction to LimitsTechniques for Evaluating LimitsThe Tangent Line ProblemLimits at Infinity and Limits of SequencesHONORS CONTENT: Students will research historical contributors to the field of Calculus and present their findings orally, as well as submitting them electronically via Dropbox (components #2, #6 and #7).Unit Thirteen-Concepts in StatisticsModeling DataSupplies:??All assignments are to be written in PENCIL on LOOSE-LEAF PAPER.??I recommend each student have a GRAPHING CALCULATOR (TI-84 Plus is preferred) of their own to use at all times. Graphing calculators will be available to use in class, but will not be allowed out of the room.Course Curriculum:See State Standards at . Textbook is Precalculus with Limits, 3rd edition by Ron Larson. There is a companion website with solutions to all odd-numbered exercises: Classroom Rules:Rules will be discussed during class, but basically revolve around RESPECT, for yourself, others andschool property. You can access current Marshall County School Board Policy at and the MCHS Handbook at .Any infractions will be handled on a case-by-case basis and will progress as follows:1st OffenseDocumented Warning2nd OffenseClassroom Consequence (depending on severity of offense)3rd OffenseParent/Guardian contact4th OffenseDiscipline referral to administrationGrading Scale:A 93-100B 85-92C 75-84D 70-74F 0-69Grading Categories:Homework 10%Assessments 30%Quizzes/Labs 20%9 weeks tests 25%Projects 15%Three points will be added to the final grade for Honors students.Student Expectations:Attendance:It is impossible to replicate a class that has been missed and, because we use block scheduling, eachschool day is equivalent to two regular class periods. Please try and schedule appointments aroundclasses when possible.Make-up Work:It is the student’s responsibility to ask for make-up work, including any quizzes or tests that have beenmissed. Board policy states that a student is allowed one day per day of absence to make up any missedwork (Policy #6.2001). Grades will be posted at least weekly so students can monitor any missed assignments and their current grade. In addition, there is an online parent portal available so parents can log on and check grades at any time.Project:All students will be required to complete two projects during the semester (one per nine week gradingperiod) that will represent 15% of their grade. They will be graded individually and very little class timewill be used to work on them.Parent-Teacher Communication:The best way to communicate with me is through email: czajac@ . You may also leave amessage in the office (phone number is (931) 359-1549) and I will return your call during my planningtime or after school.I will periodically send text messages to those who subscribe to the service (no replies are allowed—text will originate from an anonymous number). Students and parents are encouraged to subscribe by texting @zajacpreca to 81010.I have a web page that can be accessed through a link on the MCHS web site; please check it periodically for updates and changes.Remediation/Tutoring/Test Makeup:I will be available on Tuesday and Thursday mornings from 7:15 – 7:45am in my classroom and at other times by request.Classroom Renaissance Incentives:For students who have earned Renaissance cards, the following incentives will be given in this class:Blue Card20 points added to lowest test gradeWhite Card15 points added to lowest test gradeBlack Card10 points added to lowest test gradeGray Card5 points added to lowest test gradeAwards cannot be combined; higher award will be given.By signing below, I acknowledge that I have read and understand all portions of the syllabus for Precalculus Honors.Student Signature_________________________________________________Date______________________Parent/Guardian Signature_________________________________________________Date______________________Parent/Guardian Phone Number:___________________________________________________Parent/Guardian Email:___________________________________________________________ ................
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