Course Description: This course is designed to prepare students for the study of calculus. First semester will cover advanced topics in algebra and second semester will cover topics in trigonometry. Textbook/Materials: Textbook: Algebra and Trigonometry 2nd Edition, Cynthia Young 1½ inch 3-ring binder with 5 section dividers 1 package of loose leaf paper At least 2 pencils with erasers At 1-2 poster boards used throughout the year TI-84 or TI-Nspire Calculator All above items are required and are available at OPRFHS bookstore Grades: Grades will be calculated according to the following scale: Tests: 40% Quizzes: 30% Homework/Classwork: 15% Projects: 15% Grading Scale: A 90-100%
F 59% and below
Quarter Grade: At the conclusion of each quarter a grade will be assigned based on the categories listed above. Quarter grades reset at the start of a new quarter however the two quarter grades determine your final semester grade. Final Exam Grade: A final exam will be given during the last 3 days of the semester and will consist of both multiple choice questions and free response questions. The final exam is a cumulative assessment of the entire semester. Semester Grade: Quarter 1 - 40%,
Quarter 2 - 40%
Final Exam - 20%
PARENT ACCESS TO GRADES: I try to update Skyward weekly. It is important that you, and your family, use this tool to stay aware of your overall grade in the class as well as how you are performing in each of the categories mentioned above. If you have concerns about anything you see on Skyward related to your grade, please let me know promptly. TEACHER EXPECTATIONS & DAILY ROUTINES: Classroom Expectations: Students are expected to be responsible (arrive on time, have all materials needed for class, and study and complete assignments on time), be respectful (treat everyone in the class with the respect and be engaged in collaborative partnerships), be focused (actively participate and listen) and have fun. Everyone has a right to feel emotionally and physically safe in this classroom.
Chrome book Expectations: Students should bring their Chrome book to class every day ready and charged. It is the responsibility for each student to keep their Chrome book in perfect working order. DO NOT share or lend out your Chrome book. DO NOT share your login or password. Students will NOT be permitted to charge Chrome books in the classrooms. Charging stations are available in the library, (other locations to be named soon). Lids up – students are expected to have Chrome books out and ready to work on. Lids down – students are expected to have their Chrome books closed. Chrome books away – students are expected to put their Chrome books under their desk or in their backpack.
Binder: You are expected to keep a binder with 5 different sections. Each section should be labeled clearly and maintained daily. The sections are Notes, Homework, Rev/Quiz/Test, Unit Goals, and Vocabulary.
Proper Heading: If an assignment is given from a worksheet then a HW# should be placed in the upper right hand corner. If an assignment is given from the book then it should be completed on a separate piece of paper with a proper heading in the upper right hand corner that includes: your name, the date, and the assignment number. An assignment will not be credited if it lacks the proper heading.
Daily Homework: Homework will be assigned daily. Every homework assignment will be completed on loose leaf paper with the proper heading and ordered in your binder. All problems must be written out completely and all work must be shown. All problems need to be attempted to receive full credit. Late assignments will be collected up to one day after the due date.
Skyward and Homework: On Skyward each homework tab will have a range of homework assignments numbers that have been checked in. It will also show the total points possible that could have been achieved. Each homework assignment is worth 2 points. For example 10/10 means that all the homework was turned in. 8/10 means that, in that range of assignments, one homework assignment was not turned in. For specifics such as which assignments and dates please contact me.
Quizzes and Tests: Must be taken in pencil. At least one test and one quiz will be given during each chapter. If you are only absent the day before the test/quiz, you will still take the test on the scheduled day. If you are absent only the day of a test, you must take the test on the day you return. If you are not happy with your quiz scores, quiz corrections and tutoring is expected; after completing quiz corrections, receiving tutoring, and emailing me PRIOR to the unit exam, your quiz scores for that chapter can be replaced by your exam grade for the unit if it is higher. The email regarding quiz corrections should contain the following: Parents/Guardians must be CC’d on it. State name, class period, and topic in subject line. State when you will have quiz corrections done. State the days and times you will be meeting with me or the tutoring center (must have signatures and dates on corrections, which are done on a separate sheet of paper apart from the quiz(zes)) Minimum 2 meetings with myself or tutoring State why you performed poorly on the test. Complete sentences must be used throughout the email Corrections must be turned in on the day of the test or before.
Notes: You should write down all class notes and put it in the proper place in your binder. Make sure to include a proper heading and that they contain everything that was written on the screen, blackboard, and discussed in class.
Tardies: In order to make the most of our time together, it is important that you come to class on time and begin working right away. Being tardy to class means that you are missing important components of the day’s activities. If you have an unexcused tardy you will NOT be given additional time to complete tests, quizzes, or class work already in progress.
Excused Absences: Attendance is crucial to this math class. During class I cover every topic that is essential for each quiz/test/final. We also do many class activities that are important in the understanding of the material. Getting the benefit of them when absent is difficult. According to school rules, if a student has 12 absences in a semester, they can fail the course. Of course being absent at times is unavoidable so if you are absent for class, it is your responsibility to pick up any worksheets or notes that were completed in class. If you are absent the day of a test or quiz, you are expected to take it the day you return. If you are absent the day prior to a test or quiz, you are to take it as scheduled. For multiple day absences, you will receive that many days plus one to complete your test or quiz. All completed notes are available on my website or by asking me for a copy.
Unexcused Absences: If you have an unexcused absence you will NOT: a) Be able to turn in HW that was collected or checked in during your absence and you lose the privilege of turning in late HW. b) Get an extension on any assignments that are due the day you return to class c) Be able to make up tests, quizzes, or class work missed d) 6 unexcused absences means failure in the course.
Academic Integrity: Working together on HW and projects where appropriate is strongly encouraged. However, copying other people’s work is prohibited. If you copy from another student or any other source (or allow a student to copy your work), you will receive a zero for the assignment and will not be permitted to redo the assignment. If you are quoting or paraphrasing from an outside source for a project or paper, be sure to cite the source appropriately.
Cell Phone Use: Cell phone use during any assessment is not allowed. Cell phones should not be out during class and on silent or off unless you are explicitly told it is allowed. You are not allowed to charge your cell phone in the classroom. Cell phone use during any assessment results in an automatic zero on that assessment. You will be asked to take out, turn off, and place your cell phone in your backpack during any assessment. You cannot use your cell phone as a calculator during class as your TI-84 or TI-Nspire serves this purpose. *All school policies not directly mentioned above will be followed. COURSE OUTLINE:
TOPICS COVERED IN COLLEGE ALGEBRA AND TRIGONOMETRY 1-2 SEMESTER ONE I. Basic Concepts of Algebra A. The Real Number System B. Integer Exponents,. Scientific Notation. & Order of Operations C. Four Operations with Polynomials D. Rational Expressions E. Radical Notation, Rational Exponents. F. Equation solving
Graphs, Functions, and Models A. Intro to Graphing/Functions and Graphs. B. Linear Functions, Slope and Applications C. Equations of Lines & Modeling D. More on Functions/Algebra of Functions E. Symmetry and Transformations of Functions.
III. A. B. C. D. E. F.
Functions, Equations, and Inequalities Linear Equations, Functions and Models The Complex Numbers Quadratic Equations, Functions and Models Analyzing Graphs of Quadratic. Functions. Equation Solving-radicals Solving Linear Inequalities
IV. Polynomial Functions and Modeling A. Graphing Polynomial Functions
SEMESTER TWO I. The Trigonometric Functions A. Trigonometry Functions of Acute Angles B. Applications of Right Triangles C. Trigonometric Functions of Any Angle D. Radians, Arc Length and Angular Speed E. Circular Functions: Graphs and Properties F. Graphs of Transformed Sine and Cosine and Functions II. Trigonometric Identities, Inverse Equations
A. Identities: Pythagorean and Sum/Difference B. Identities: Cofunctions, Double Angle and HalfAngle C. Proving Trig. Identities D. Inverses of Trig. Functions E. Solving Trig. Equations III. Applications of Trigonometry A. The Law of Sines B. The Law of Cosines C. Area of a Triangle
B. Polynomial Division- Remainder and Factor Theorem C. Theorems about zeros of Polynomial Functions D. Rational Functions E. Polynomial and Rational Inequalities F. Variation and Application
Comments from previous students about their reflection of themselves after finishing CAT: “To be successful in college algebra trig(CAT) you will need to follow the following steps to get/earn the grade you expect. 1) Come to class well rested. 2) Come to class with all homework completed. 3) Come to class with a working calculator. 4) Put away your cell phone as soon as the bell rings. 5) Pay attention to all material (even if you believe it’s boring). 6) Don’t talk in class no matter how tempting it may be. 7) Study for tests and quizzes (No matter how tired you are). 8) Ask questions about things you don’t understand. 9) Come in after school for extra help (no matter how bad you don’t want to.) 10) Go to the tutoring center (even if you don’t want to go). After following these steps, I’m guaranteed you’ll be successful.” “The first thing is utilize help when it is given. Don’t pull a ‘nah, I don’t need help’ because that will pull you down. If you ask for help, it’s not like you are dumb, nobody is perfect. Another thing is to study and do NOT shy away from homework. Do not copy it, cheat, etc. just do it because if you know how to do the homework, you will know how to ace the quizzes and if you know how to do that, what could possibly stop you from getting an A on the tests? The teacher(s) are there to help you and even if they somehow are not, the tutoring center is another great place to get help.” “One thing that I would do differently to be more successful in this class would be to learn the unit circle better right from the start because you really need to know that for all of the following units. Another thing I would say is that it is pretty easy to get behind in the homework, and the homework is important to review what happened in class. This is why another thing I would have done differently to do better is keep up with the homework. Finally, I would have gone to the tutoring center/teacher more instead of waiting until the last second before the quiz to try to learn the unit. The most important thing I would have done differently over all is to just learn the material the first time around because once you understand how to do the work it’s not really that hard.” “My major issues this year were that I procrastinate, I don’t do homework, I don’t pay attention, and up until recently, I didn’t care about this class. That is different now. I‘m done being a slacker. Math comes easy to me, I just don’t apply myself.” “There is just too much stuff I should have done. To name a couple of things, I procrastinated way too much and am overall just crazy. I was lucky enough to have you as my teacher to help me. One thing that should have happened earlier is that a I should have switched seats immediately in the year and sat at … and …’s table. That way I would have just focused so much more than sitting by my close friends who just were dead weights. Another thing that would have helped me tremendously is if I were to memorize all the trick you told me, the Bill Cosby thing, left hand rule and many other nifty tricks and sayings. I wish I memorized sine, cosine, tangent and all their meanings. I also should have been off my phone more over all. I just strictly needed to pay more attention.” “Well, knowing I’m graduating did not help the cause. I feel as if I had the same mind set coming into senior year, then my current mind set, I would have a better grade. It’s not even that I don’t get the concept, it’s if I put the time in to study it would not be as bad. If I got help on the stuff I did not fully understand that would’ve helped. Also if I paid attention more it would not be so confusing. Less talking too but like you said before we started the 2nd semester the “senioritis” got the best of me.” “I think I should have taken this class more seriously. During first semester I tried harder and it became easy for me so I thought it would have been the same during the next semester. I got help when needed but I got used to the idea of it being so easy. Once 2nd semester started the class got harder and I struggled more. I didn’t get the help that I needed except for in class, which wasn’t enough. I didn’t pay attention enough and was spaced out, doing other work, or on my phone. I fell behind but I caught up by the end of the third quarter. I repeated my actions once fourth quarter but I learned some of the material but I didn’t know all of it. Looking back I should have gotten more help and participated more often. My A dropped to a B.”
As a junior in a senior class: “As a junior, there is a lot of pressure being put on me in terms of college. Senior year is important but colleges look at grades and GPA at the end of junior year. Advocating for my self has always been a strength of mine as a student. Time management on the other hand is a major weakness of mine as a student. At the beginning of the semester I found myself behind on work due to my absences. Once I was behind I found it very hard to catch up. Every night homework was assigned and I found myself struggling to catch up with previous homework. Being behind caused a lot of stress for me and had a negative impact on my grade. My lack of time management also left me struggling to keep up with the work in order to pass the next test. Missing school for any reason was overall on me. I should have taken days off when I was feeling deadly ill only. Attendance is key. Also, I could have really helped myself manage my time by coming in early the next day for help or anything I missed. Also planning ahead for tests would have helped my stress levels while taking test/quizzes. When taking tests/quizzes, I find that I am able to focus best when all my work is done.”
CAT – Course 245
COURSE SYLLABUS Dear Parents/Guardians: It is my pleasure to have your child in my class. I believe if we work together we can all be successful this year. Therefore I have attached a list of classroom expectations and an overview of my grading policy so we can work together to make this year enlightening and full of discovery. I have also shared my expectations and grading policy with your child today in class. I am sure we all recognize the importance of focusing on schoolwork in order to complete any course with success. I hope you can take a moment to read these expectations and share any feelings or questions with your child and/or me. Please feel free to contact me with any questions about your child's progress or any questions in general. Please reach me through email, [email protected], or phone number 434-3351 before 8:00 a.m. or after 3:04 p.m. In order for me to contact you, please provide me with the following information. Also, please indicate what method you prefer for me to use in order to contact you. Print your information clearly and sign in the appropriate place, indicating that you have read this material. Have your child return this page to me as soon as possible. Thank you, Mrs. Carmen Avalos (Please return only the bottom information and keep the top information for your records.) (Please print)