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THE 2006 GUIDE FOR SUCCESS IN TRIGONOMETRY This guide is designed to supply you with the necessary information, guidelines and recommendations for a successful semester of trigonometry. In this course, we will become familiar with various methods of solving problems using the trigonometric functions. We will utilize our knowledge of mathematics to apply theorems and use trigonometric identities. What is trigonometry? Trigonometry literally means “triangle measure.” It is the course of study in solving problems using properties of triangles. We will begin with the familiar cases of right triangles and move into oblique (non-right) triangle problems. INSTRUCTOR’S NAME: Mr. Sundvick COURSE GOALS: 1. To define angles and arcs in degrees 2. To solve problems involving similar triangles 3. To define the fundamental trigonometric ratios in a right triangle 4. To apply right triangle trigonometry to real-world situations 5. To define angle measures in radian form 6. To convert from radian measure to degree measure and vv 7. To apply radian measure to linear and angular velocity problems 8. To define the trigonometric functions formally 9. To apply trigonometry to wind and water waves 10. To find the exact values of trigonometric functions 11. To define circular functions 12. To study basic trigonometric graphs 13. To graph all six trigonometric functions including phase shift, vertical shift and amplitude variations 14. To apply the graph of a trigonometric function to real-world situations 15. To define the fundamental identities 16. To verify analytically whether a statement is an identity 17. To verify graphically whether a statement is an identity 18. To use the sum and difference identities 19. To use the double- and half-angle identities 20. To use the product-sum and sum-product identities 21. To define the inverse trigonometric functions 22. To solve trigonometric equations involving inverse operations 23. To use the Law of Sines to solve real-world applications 24. To use the Law of Cosines to solve real-world applications 25. To use Heron’s Formula to find the area of a triangle 26. To define vectors geometrically 27. To define vectors algebraically 28. To apply the dot product to two vectors 29. To define the polar coordinate system 30. To sketch polar graphs 31. To define complex numbers in polar form DAILY CLASS MATERIALS: TEXT BOOK: Analytic Trigonometry with Applications by Barnett, Zeigler and Byleen COUGAR PLANNER PENCILS TI-83 GRAPHING CALCULATOR (TI-84 is comparable, TI-85, TI-86 and TI-89 are not) NOTEBOOK CLASS FORMAT: READING - something we are going to do a lot of. Most often we will cover a new section each day or two. It is your responsibility to read the upcoming section prior to class. Concentrate on the vocabulary in bold, and definitions, theorems and identities in the mauve, green and tan boxes. HOMEWORK - it will occur every night. Homework will be graded and collected. If you do not do your homework, your grade will suffer. We will have some time in class to go over homework, but not more than a few problems. See me before or after school if you have additional questions. Rubric: A – All problems worked out to completion, showing all relevant steps. Work is exceptionally neat, well organized and easily read. Answers are accurate and clearly labeled. B – Most problems worked out to completion, showing all relevant steps. Work is neat, organized and easily read. Most answers are accurate and clearly labeled. C – Most problems worked out to completion or attempted, showing some relevant steps. Work is readable. Some answers are accurate. D – About half of the problems attempted or completed, lacks relevant work. Not organized or easily read. F – An attempt at some problems, lacks relevant work, unorganized. 0 – not attempted or submitted. QUIZZES – four or five per quarter. Some will concentrate on the basic memory information required in any trigonometry course. We will usually practice this at the beginning of class. The others will be chapter-specific problems like the homework. TESTS – three or four per quarter. At the end of each chapter there will be a test. We will first spend at least two full classes reviewing the material. At this time you should make sure you have full understanding of the chapter. There will be no time for questions on the day of the test. Tests are timed assessments and no extra time is allowed beyond one class period. NOTEBOOK - you must have one. You should keep all the Definitions, Examples, Memory Information and Match Problems in one organized notebook. If I write it, so should you. I will check notebooks periodically. It will count as part of your citizenship grade in class. ACCADEMIC GRADE: Your quarter grade is based on the following: TESTS (3 or 4) 60% QUIZZES (4 or 5) 20% HOMEWORK 20% Your semester grade is based on the following: QUARTER I 40% QUARTER II 40% FINAL EXAM 20% CITIZENSHIP GRADE: Your citizenship grade is calculated as follows: Each student receives 100 “points” toward your citizenship grade. Each time you come late, come unprepared, don’t take adequate notes or use a hall pass you lose points according to the following progression. 1 for the first in each category, then two more, then three more, then four more. Each category will show negative points against your “100 points”. Again, it looks like this: -1, -3, -6, -10, -15, -21, -28,… Once you have lost these points you may never regain them. These “points” are NOT factored into your quarter grade. Citizenship is a measure of how well you integrate and adapt to the academic environment set by the teacher. Each of the ways to lose points represents a distraction to the class and must be minimized to insure proper learning. Misbehavior also subtracts points from the citizenship grade with the amount depending upon the circumstances and frequency of occurrences. It may take a quarter or so to figure this out, but you and only you earn the citizenship grade. I just set the criteria. OUTSTANDING 90-100 SATISFACTORY 75-89 NEEDS IMPROVEMENT 60-74 UNSATISFACTORY 0-59 GRADES: Your awareness of your current grades is very important. You may expect regular printouts of class grades posted in the classroom. Grades are posted by student number. You may also expect the InTouch application to be updated regularly. Discrepancies with grades will happen as I collect and return 700 to 800 papers each week. Keep all your returned work. I will be available to discuss discrepancies with grades before and after school only. I will not take class time to discuss your individual situation. PRINTOUTS: All printouts must be requested at least one day in advance. For paper printouts, submit a written, dated request to the proper basket and anticipate a return the next day. For e-prints, send requests to firstname.lastname@example.org. EMAILS For all emails please put a subject in the appropriate area. We receive a lot of junk mail and occasionally scams get through our security system. I do not open suspicious mail and want to ensure your message is read and not deleted because the address is not familiar. HONORABLE CLASSROOM CONDUCT: This is an honors class and an elective. Discipline problems will be taken care of swiftly. I believe that learning may be best achieved in a relaxed and social environment. This is not a cue to disregard the desire for others to learn. We will not interrupt others while they are speaking nor will we interrupt the learning process in any way. ATTENDANCE: Come to class. All missing work must be done on your time. It is your responsibility to check the calendar regarding all make-up work. Missing tests, quizzes and homework are zeros until you make them up. Come in before or after school to do so. You must make them up before the next one. TARDINESS AND UNPREPAREDNESS: It cannot be stressed enough that you come to class ON TIME, with your materials ready to learn. There will be no tolerance for milling about at the beginning of class. You should be in your seat at the bell. Both unpreparedness and tardiness will be tracked in the grade book and count against your citizenship grade. It is your responsibility to sign the tardy sheet. If not, you may be marked absent. Being detained by a school official is rare and will be handled case by case. I will make note of all such cases and determine whether the situation warrants accepting the late pass or not. Certainly habitual cases will not be accepted. HALL PASSES There is no reason to have a hall pass during class. With this in mind, I do understand that emergencies arise. As stated in the criteria for citizenship grade, you will lose points toward citizenship for using a hall pass. It is a disruption and takes up class time. A few still keeps the grade at an O, but too many will affect it. You must have your planner and fill it out completely in ink. CALCULATOR USAGE: This class will depend heavily on the use of a graphing calculator. The TI-83, TI-83 Plus or TI-84 is preferred and referenced throughout the course. Other graphing calculators (non-TI and TI-85, TI-86 and TI-89) are not as efficient or as capable as the TI-83/84 series. Though the TI-89 does have downloadable software that compares, it is way less user friendly. You must bring your calculator daily. Calculators may not be shared during any test or quiz. I do not lend out calculators. Also, be sure you understand how to use it before the exam. Points will be deducted from your exam for calculator instructions during the test. TEST/QUIZ SITUATIONS: Accurate assessments are vital to measure the level of understanding of the material presented. The environment will consist of silent, undisturbed work time for the entire duration of the examination. There should be no communication whatsoever with any other student for any reason, whether you are finished or not. You may not borrow or share calculators. You may not pass notes, books or even pencils. I will take away all distractions to insure the assessment is accurate and fair for everyone. If you can not adhere to these parameters, you will be required to take your assessments on your own time before or after school. If you continue to disrupt the examination you will be immediately sent out of the room. If you finish early, you may work independently on other projects, but again, do not collaborate with your neighbors at all. ACCADEMIC INTERGRETY: With so much emphasis on assessment and pressure to perform at a high level, each year I catch many students cheating. Cheating in this class consists of passing off any work that is not original or allowing other to copy your paper. You are encouraged to work together on homework, but you may not copy from other students or from the back of the book. If you are caught copying homework, all parties will receive zeros. For tests and quizzes as stated above, absolutely no communication is allowed during the assessment. Focus on your own work only. If not, you may be moved, asked to retake the assessment after school or lose points. If it is apparent that you have cheated on a quiz or test, for example you have the right answer(s) to the wrong version of the test, you will get a zero. LATE WORK: Homework is due daily and there is no acceptable excuse for late work. Homework is only collected immediately at the beginning of class on test days. Other days we have at least 10 or 15 minutes to go over it. If you arrive after I collect the homework, you may not hand it in for a grade. Being detained by a school official is rare and will be handled case by case. I will make note of all such cases and determine whether the situation warrants accepting the work or not. Certainly habitual cases will not be accepted. At the end of each quarter I will offer, with strict guidelines, a few replacement assignments to make up for those few rare occurrences when an assignment is missed. These graded assignments will replace a lower grade. They can not hurt your grade. ABSENT WORK: For approved absences, district guidelines recommend three days per absence for make-up work. I will extend that to five and to more as individual situations dictate. I will allow students to make up tests and quizzes until the date of the next one. Once the time has passed, you may not make up the assignment. “EXTRA CREDIT” For the purposes of this class, extra credit does not exist. There are clear statistical reasons for not issuing extra credit. All it does is skew the data and water down an A. I do, however, offer replacement work for a few homeworks and one quiz per quarter. They are optional assignments and will be issued before the end of the quarter. As usual, a rigid deadline will be enforced. UNSATISFACTORY REPORTS: At any time if your grade falls below a 75%, you may expect an unsat sent home. GENERAL COURSE OUTLINE: First Quarter Chapter 1 Right Triangle Ratios 1.1 through 1.4 7 days Review 2 days Test 1 1 day Chapter 2 Trigonometric Functions 2.1 through 2.6 9 days Review 2 days Test 2 1 day Chapter 3 Graphing Trigonometric Functions 3.1 through 3.6 9 days Group Activity Ch 3 1 day Review 2 days Test 3 1 day Cumulative Review Chapters 1-3 Review 3 days Cumulative Test 1-3 1 day Second Quarter Chapter 4 Identities 4.1 through 4.5 11 days Review 3 days Test 4 2 days Chapter 5 Trigonometric Inverses and Equations 5.1 through 5.4 5 days Review 2 days Test 5 1 day Chapter 6 Oblique Triangles and Vectors 6.1 through 6.6 10 days Review 3 days Test 6 1 day Cumulative Review Chapters 4-6 Review 3 days Cumulative Test 4-6 1 day Final Review Review 4 days Final Exam 1 day ASSIGNMENT HEADING: Name Assignment (section) Period Begin your work. Show all pertinent work, including calculator key-strokes where applicable. Skip a line between questions. Circle or underline the final answers. Keep it neat and organized. If I can’t read it, don’t know which one it is or from whom, I can’t give credit for it. NOTE: These guidelines are designed to assist students in attaining the maximum benefit from the class. As each class progresses throughout the year, it may be necessary to make minor adjustments or amendments. Students will be well informed as to what they may be and how they are affected.
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