PreCalculus Morgan Park High School Syllabus 2013-2014 1 Instructor: Lauren Phillips Classroom: Room 254 Phone/Email: 773-535-2550 lnphillips@cps.edu Office Hours: Text / Resources PRECALCULUS by Pearson-Addison-Wesley 6th edition. Course Description Students will build on knowledge acquired in their previous mathematics classes. Topics to be covered include coordinate geometry, linear, polynomial, exponential, logarithmic, and other types of functions and their graphs, equation solving, inequalities, trigonometry, including analytic and applications, parametric and polar equations, systems of equations and inequalities, matrices, conic sections, discrete algebra including probability, statistics, sequences and series, and an introduction to calculus including limits, derivatives and integrals. This course is aligned to the Illinois Learning Standards (ILS), the EXPLORE, PLAN, ACT, and College Readiness Standards (EPAS), and the Chicago Reading Initiative (CRI). This class is considered to be one of the most challenging and rigorous classes in the high school math sequence. Course Objective Students will be able to use graphical, numerical, and algebraic modeling of functions as well as problem solving, conceptual understanding and facility with technology to solve problems related to the preparation of students for study of calculus, science and advanced mathematics courses. Goals 1. To enhance students knowledge of mathematical theory and applications. 2. To prepare students for their career and college goals. 3. To prepare students for ACT, SAT and other standardized tests. The Illinois State Goals and Standards that will be included include the following: State Goal 1: Read with understanding and fluency. (This will include word analysis and vocabulary). State Goal 3: Write to communicate for a variety of reasons. State Goal 6: Demonstrate and apply a knowledge and sense of numbers, including numeration and operations (addition, subtraction, multiplication, and division), patterns, ratios and proportions. State Goal 7: Estimate, make and use measurements of objects, quantities and relationships and determine acceptable levels of accuracy. State Goal 8: Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results. State Goal 9: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space. State Goal 10: Collect, organize and analyze data using statistical methods; predict results; and interpret uncertainty using concepts of probability. Prerequisites Students must have successfully completed Algebra/Trigonometry and Geometry. Guidelines for Success Students make their own luck. They achieve. It takes: Preparation Responsibility Integrity Dedication Effort to be successful! Required Materials Ø Notebook/ Dividers 4 dividers (Homework, Bell Ringers/Exit Tickets, Tests/Quizzes, Handouts) Ø Spiral notebook for notes only Ø Loose leaf paper and graph Paper Ø Pens and No. 2 Pencils Ø A graphing calculator (TI83+ or TI84 suggested) is essential. Homework and tests cannot be completed without use of a calculator (the book gives examples using the TI 83+, TI 84 series) Ø Text book Ø Protractor/ruler
PreCalculus Morgan Park High School Syllabus 2013-2014 2 Ø Internet access Course Requirements 1. Attend class daily and on time. 2. Bring necessary learning supplies daily. Keep brand new text in excellent condition ($25 damage fee). 3. Participate in class by paying attention, taking notes, contributing to discussions and meeting all classroom expectations. 4. Read and study the textbook as you work on completion of all homework and classwork assignments. 5. Work hard independently, and work effectively with others students and with me. 6. Follow directions the first time. 7. Turn in all assignments and projects on time. 8. Study for and complete all tests and quizzes. 9. Seek outside assistance as needed. School Requirements 1. Bring a reinstatement form from the attendance office within 3 days for all excused absences. 2. If late to class, you will be swept. This will result in a zero for the day. 3. Wear ID at all times while in the building. ID S must be worn and visible before upon entering class. 4. Wear appropriate clothing at all times. 5. No electronic devices, i.e. cell phones, MP3 players, or cameras, are to be used in classroom. 6. Drinking water is permitted but otherwise, no eating or drinking in class. 7. Follow Uniform Discipline Code. If a student(s) is/are suspected of cheating, the Uniform Discipline Code will be followed. Everyone involved will receive an F for that assignment. Class Procedures: 1. Class-work includes open notebook mini quizzes, which will cover math concepts and note-taking skills, board work, class participation, any work completed in class and on other problems. 2. Homework will be given almost daily so that students will be able to master the skills necessary to satisfy course requirements. Homework must be complete, with all work shown, and on time to receive full credit. Some problems may be checked for correctness. Students should read and study the textbook and class notes before beginning homework. 3. Late homework is only accepted due to an excused absence. The absence is excused by sign-out sheet for a school function or reinstatement from the Attendance Office. Students will be held accountable for all missed work. Late work is due when the student returns from absence and will be collected up until and on the Wednesday following an absence (Late-work Wednesday). No late homework will be accepted after Late-work Wednesday or the chapter test. If a student knows that she or he will be absent on the day of a quiz, test, or project due date, the student should arrange to turn in the project or take the test/quiz prior to the absence or on the day of her or his return. Illness, especially extended illness, will be treated on a case-by-case basis. Homework is posted on the Morgan Park website (morganparkcps.org) or can be found in the missing assignment folder upon return to school. It is easy to monitor your student s progress in my class. Grades will be posted on IMPACT and can be viewed via the Parent Portal. You may access your grades via http://impact.cps.k12.il.us/applications.asp using the student and/or parent portal. Students should check their grades weekly and will be expected to report their current grade percentage at any time upon teacher request. 4. A test or quiz will be given almost every week. These are based on information from the book, as well as notes and examples given in class. They will consist mostly of mathematical problems in an open response format and some multiple-choice questions. 5. All work must be shown or no credit is given. If work is shown, partial credit will be given for any correct work. 6. Projects and Special Assessments are important. These will be closely aligned with the material from the book and are reality-based. Projects and Special Assessments from other sources will also be assigned. Projects and Special Assessments must be turned in on time to receive full credit. If they are late, half credit will be given. No credit will be given if it is more than two days late. If a student is absent on the due date, it must be turned in on the day the student returns with an excuse note from the parent attached and a reinstatement from the Attendance Office. Other projects will also be assigned with the same criteria for lateness. Some projects may require that students need to stay after school to complete the project. These projects will be announced and confirmed with a letter to parents/guardians.
PreCalculus Morgan Park High School Syllabus 2013-2014 3 Attendance: Students are required to attend class daily and on time. There are only 6 acceptable causes for absences student illness, family emergency, death in the immediate family, observation of religious holidays, circumstances which cause reasonable concern to the parent or legal guardian for the safety or health of the student, and other situations beyond the control of the student as determined by the principal or principal s designee, on a case by case basis, including, but not limited to homelessness and its attendant difficulties. A note explaining the absence must be brought into the office within 2 days of the said absence. Tardiness is not allowed and will be dealt with using the Uniform Code of Discipline. Poor attendance has a negative impact on student achievement. Makeup Work: See Class Procedures #3. Resources: Students can attend tutoring after school and use the library for internet access. Students obtain assignments and other information from the Morgan Park H.S. website. Students will also be given the assignments in class. REMEDIATION AND RECOVERY: Students who are failing will be required to attend tutoring twice a week. Tutoring will held in a designated room from time to be announced and on days to be announced. For students who do not have excessive absences but after a good faith effort still are in danger of failing the course a recovery plan/contract will be available. Students who take a chapter test and are unhappy with their results have an opportunity to retake the test. However, students have to show/ prove that they have mastered the material that they have missed prior to taking the retest. They must work additional problems that they find in the text or on the internet. Once the student has shown the teacher mastery of the missed concepts, then they are ready to take the retest after school. Students must make arrangements with the teacher to retest. Tutoring is strongly recommended. Tests and quizzes that need to be retaken can be taken afterschool on the agreed upon date for test make-ups. Grading Scale Letter Grade Percent Range (%) A 90-100 B 80-89 C 70-79 D 60-69 F 0-59 Evaluation Policy (Grade weighting) Class Work 25% Quiz 15% Test 15% Mid-term/Semester Finals 15% Projects/Special Assignments 15% Homework 10% Binder/Notebooks 5% PRECALCULUS HONORS Course Description WEEK (S) CHAPTERS TOPICS 1-5 1 Functions and Graphs Modeling and Equation Solving Functions and Their Properties Twelve Basic Functions and Their Graphs Building Functions from Functions Graphical Transformations 6-12 2 Polynomials, Power and Rational Functions Modeling with Functions Linear and Quadratic Functions and Modeling Power Functions with Modeling Polynomial Functions of Higher Degree with Modeling Real Zeros of Polynomial Functions Complex numbers
PreCalculus Morgan Park High School Syllabus 2013-2014 4 Week 10 All previous chapters 13-18 3 Exponential, Logistic and Logarithmic Functions 19 All previous chapters Final review and exam 20-26 4 Trigonometric Functions 27-30 5 Analytic Trigonometry Complex Zeros and the Fundamental Theorem of Algebra Graphs of Rational Functions Solving Equations in One Variable Solving Inequalities on One Variable Synthetic Division Remainder and Factor Theorems Rational Functions Graphs of Rational Functions Domain and Range of rational functions Translations of Rational Functions Horizontal and Vertical asymptotes Inverse functions Mathematical Models Writing functions to model situations Domains restricted by content. Quarterly review and exam Exponential and Logistic Functions Exponential and Logistic Modeling Logarithmic Functions and Their Graphs Properties of Logarithmic Functions Equations Solving and Modeling Mathematics of Finance Angles and Their Measures Trigonometric Functions of Acute Angles Trigonometry Extended: The Circular Functions Graphs of Sine and Cosine, Sinusoids Graphs of Tangent, Cotangent, Secant, and Cosecant Graphs of Composite Trigonometric Functions Inverse Trigonometric Functions Solving Problems with Trigonometry Fundamental Identities Proving Trigonometric Identities Measurement of Angles Sectors of Circles Evaluating and Graphing Sine and Cosine The Other Trigonometric Functions Inverse Trigonometric Functions Modeling Periodic Behavior Relationships Among the Trigonometric Functions Solving Right Triangles Area of a Triangle Periodic Functions Sinusoidal functions Amplitude and period Graph of the sine function Horizontal translations Vertical translations Equations of sinusoidal functions Unit circle definitions of sine and cosine Law of Cosines Law of Sines Right triangle trigonometry Similarity. Fundamental Identities Proving trigonometric identities Sum and difference identities Multiple-angle identities The law of sines The law of cosines 31 Review and PSAE 32-33 6 Vectors in a Plane
PreCalculus Morgan Park High School Syllabus 2013-2014 5 Vectors, Parametric Equations, and Polar Coordinates 34 7 Systems and Matrices 35 8 Analytic Geometry in Two and Three Dimensions 36 9 Discrete Mathematics 37 Chapters 4-9 Review and final 38 10 An Introduction to Calculus Complex numbers Dot products of Vectors Parametric Equations and Motion Polar Coordinates Graphs of Polar Equations Linear functions and equations Parametrically defined functions and equations Vector-valued functions Addition of vectors Geometric interpretation of Vectors Scalar multiplication of vectors Rate of change Solving systems of Two Equations Matrix algebra Partial Fractions Quarterly review and exam Conic Sections and Parabolas Ellipses Hyperbolas Translation and Rotation of Axes Polar Equations of Conics Three-Dimensional Cartesian Coordinate Systems Basic Combinations Probability Sequences and Series Statistics and Data (Graphical and Algebraic) Fundamental Counting Principal Recognize patterns in organizing lists for counting purposes Factorial, n! Permutation Combination Tables, Graphs, and Averages Box-and-Whisker Plots Limits and Motion: The Tangent Problem Limits and Motion: The Area Problem Numerical Derivatives and Integrals ASSIGNMENTS/GRADING POLICIES: 1. Tests/Quizzes: will be given almost every week and will be based on information from the text, notes, examples, and class work / homework. 2. Daily class work and/or homework: must be completed and turned in with all work shown. 3. Class Participation is assessed. 4. Projects: will require research and access to library and internet. 5. Midterm/Final Exam: cumulative midterm and semester final. 6. Norm Reference: Alternative assessments may be used. 7. All Work Must Be Shown To Be Given Credit.