20/09/2012 18:26:00
MATH 1113: PreCalculus
Fall 2012
CRN: xxxxx, Online Course
MyMathLab Course ID: xxxxxxxxx (You will need this code to access the online components of the course.)
Instructor: Name
Office: MILE, UL301 Phone: (404) 413  xxxx Email: xxxxxx@gsu.edu
Email communication with your instructor from anywhere other than GSU official account will not be given any consideration and will be discarded.
Class Time: Online class
Office Hours: Tuesdays and Thursdays, 10:00 am – 10:45 am, MILE, UL301
Other times by appointment
Regular office hours will be suspended during the exam week.
Welcome to PreCalculus course. This course covers a variety of PreCalculus topics that include trigonometric functions, identities, inverses, and equations, polar coordinates, vectors, conic sections etc. See http://www2.gsu.edu/~wwwmat/13115.html for a detailed description of out course content standards for MATH 1113.
Textbook and Course Materials (2 items):
* Math 1111/1113 College Algebra w/Class Notes Package Georgia State University
Custom Edition by Lial, Hornsby, Schneider, Daniels 5E Value Pack
(Required) ISBN13: 9781256692584
*MyMathLab Access Code (Required, included in the Value Pack)
**NOTE** Textbook and access code are bundled in the University Bookstore at a discounted price. Deferred payment plans are also available.
Visit http://www.mymathlab.com/gettingstarted for detailed information on MyMathLab registration with your purchased access code. (Click “Registering and Enrolling in your course” under the student menu). You MUST use the school zip code – 30303 and the GSU official Email account to sign up for MyMathLab on CourseCompass.com
General Structure of Course:
Welcome to PreCalculus course. This course covers a variety of PreCalculus topics that include trigonometric functions, identities, inverses, and equations, polar coordinates, vectors, conic sections etc.
The course is taught using MyMathLab and CourseCompass. MyMathLab is an online software program that can be accessed at CourseCompass.com. Homework, quizzes, problem solving activities, tests, and the Final Exam are all done using MyMathLab. MyMathLab has a variety of features available to help you master the course material. These features include videos, an interactive textbook, and interactive homework problems that provide immediate feedback and guided help. To register for MyMathLab, you will need a course ID (this is not the GSU CRN) and an access code. The MILE is our computer lab for College Algebra and PreCalculus courses ONLY. Even though online students are not required to attend the MILE for attendance grades, I still highly recommend that the online students should visit the lab on a weekly basis and utilize this resource to have clear understanding of the concepts. The lab time is suited for individual questions. There will be a host of instructors, graduate students and student assistants familiar with Math 1111/1113 to answer your questions while you visit!
The course is taught using MyMathLab and CourseCompass. MyMathLab is an online software program that can be accessed at CourseCompass.com. Homework, quizzes, problem solving activities, tests, and the Final Exam are all done using MyMathLab. All exams are closed book, closed notes. Tests and the Final Exam will be proctored and must be taken online in the MILE using MyMathLab. MyMathLab has a variety of features available to help you master the course material. These features include videos, an interactive textbook, and interactive homework problems that provide immediate feedback and guided help. To register for MyMathLab, you will need a course ID (this is not the GSU CRN) and an access code. At the GSU bookstore, the new books (PreCalculus by Lial, Hornsby, Schneider, Daniels 5E Value Pack) come bundled with an access code.
Prerequisite: A grade of C or higher in MATH 1111 or an appropriate score on the placement test is required or an approved transfer credit for MATH 1111 or equivalent course.
Administrative Withdrawal: During the first two weeks of the semester, the Department of Mathematics and Statistics may check the computer records to determine whether or not each student has met the prerequisites for this course. If you do not have the prerequisites, please inform your instructor and change to another course right away. If our computer search finds that you do not have the prerequisites, you must drop this course within the first week of the semester (or withdraw after the first week of the semester) or you may be withdrawn automatically.
If you do not register for CourseCompass with your instructor’s course ID during the first two weeks of the semester, you may be administratively withdrawn from your class.
If the student does not register for MyMathLab (MML) through CourseCompass.com within the first 2 weeks of the semester (to complete the MML assignments) the Instructor has the right to withdraw the student administratively. If the student is not able to purchase the Access Code at the beginning of the semester due to pending financial aid approval or due to some restrictions, the student must notify the Instructor immediately and make arrangements in writing. Please note that deferred payment plans are available at the University Bookstore.
MANDATORY REQUIREMENTS
MANDATORY ORIENTATION SESSIONS:
MATH 1113 students (including online section) are required to attend a mandatory orientation session in the MILE during the first week of the semester. The orientation sessions will be offered several times of the day starting from Tuesday, August 21^{st}. The details about the Orientation Sessions will be posted on Coursecompass website and email notifications will be sent to all enrolled students. This orientation session is meant to inform the student about the course, what is expected of the student, what the student can expect from their instructors, and the MILE rules/policies. If a student does not attend a session they are making a personal choice to risk not being fully aware of their responsibilities as a MATH 1113 student and will have to accept the consequences of their decision.
**WARNING ABOUT TEMPORARY ACCESS CODES**
Temporary Access codes that available through coursecompass.com for MATH 1113 have been known to have technical issues. The department of Mathematics and Statistics of Georgia State University encourages you to not use a temporary access code, to avoid these issues. If the student chooses to use a temporary access code they do so at their own risk.
Orientation Quiz:
The Orientation Quiz is a quiz on MyMathLab over the syllabus, the orientation session, and general MATH 1113 Policies. The students must score a 100% on this quiz before they will be allowed to begin any assignments for MATH 1113. Students have an unlimited amount of attempts
MILE Attendance is NOT required for the online section for grades. They must take the exams in the MILE, UL301 in proctored environment and must attend the Orientation Session.
IMPORTANT NOTES:
Orientation sessions will be held in the MILE for all Math 1111/1113 students to set your Course Compass account during the first week of the semester.
WHERE’S MY COURSE? http://pearsonmylabandmastering.com/?cc
The schedule information has been sent to the students by email to their GSU official addresses and has been posted on the CourseCompass Announcement page.
It is highly recommended that you attend one of the Orientation sessions to learn how the program will be conducted during the semester, new rules and policies.
During the CourseCompass upgrades, registered MyMathLab users can access their courses that are powered by XL, which includes: homework, tests, tutorials, study plan and gradebook areas. Go to the special login page to enter your login name and password.
MyMathLab  http://www.mathxl.com/login_mml.htm
MyMathLab also includes live tutor support available from 5:00 PM to midnight, Sunday through Thursday. The toll free number is 8887770463.
Since Georgia State University does not support MyMathLab (MML) or Course Compass (Pearson Education the publisher of the textbook supports this software), it is the responsibility of the student to use the resources above to resolve all technical issues independently of the University. Georgia State University and its faculty are not responsible for outcomes due to individual technical issues, nor scheduled MML and Course Compass downtime. It is expected that the student will be responsible for completing their work in a timely fashion as to alleviate any pressures these scheduled downtimes occur. All students will be notified of these downtimes through the announcements page of the course. Course Compass
Tech Support number is 18006776337.
Support Website: http://247.pearsoned.com
There is no class meeting with your Instructor.
What can I do to master course content?
There are many things you can do that will help to master the course content. In addition to doing the assigned homework and quizzes, you can
– begin the material BEFORE it is discussed in class. This course is conducted in an active learning environment. Hence, it is assumed that the students will have working knowledge of the week’s topics/material and will discuss from that vantage point.
Keep a copy of the PACING CALENDAR near to you at all times. This will guide you on ALL due dates and keep you up to date on all expectations.
Click “View All Announcements” on the Announcements page of MyMathLab DAILY. These announcements and email are the main forms of communication. The MATH 1113 Coordinator ( Ms. Sarkar) and all Instructors rely heavily on these forms of communication and expect students to check daily.
HOW SHOULD I STUDY?
Read the sections that have homework assignments and quizzes.
View the Lecture Videos for each Section through the “Multimedia Library”. Take thorough notes in a notebook and record questions. These questions should be addressed to your Instructor or in the MILE lab.
In the “Multimedia Library” view the ‘animated’ problems. Work through these and work to minimize the questions generated from the lecture videos.
Use the “View an Example” and the “Help Me Solve This” features while working the homework problems. To start a section quiz, you MUST meet the prerequisite of 90% or better grade on homework section. WATCH DUE DATES FOR QUIZZES – they will NOT be reopened.
Ask for help from one of the MILE assistants to clarify your questions on the material.
Use the MyMathLab Tutoring Center. For more information select Chapter Contents on the course page and then select Math Tutor Center at the top of the page.
The MILE (Mathematics Interactive Learning Environment) in 301Urban Life Building:
The MILE is located in 301 Urban Life Building. It is down the hall from the Georgia State University book Store.
The MILE will be open Monday through Friday between 8 am and 8 pm during Spring 2012.
The MILE website is http://www3cas.gsu.edu/~themile/
You can check the status of the availability of computers in the MILE from the above website by clicking on the proper description. It gives you real time updates.
Alternatively, please check the following website for real time update for Computer Availability in the MILE, Urban Life 301.
http://webdb.gsu.edu/gsu/labs/ul301.cfm
First week of the semester.
You MUST plan to attend one of the Orientation Sessions during the first week.
MILE ATTENDANCE IS NOT REQUIRED for this online section.
NOTE: The lab will be closed on Monday September 3^{rd}, 2012.
MILE assistants and instructors are in the MILE to assist you in understanding the course material. You are strongly encouraged to ask questions and take advantage of the available help from the instructors and MILE assistants.
You are expected to be doing only your Math 1111/1113 work or your mathrelated activities (such as scheduling a test or watching a math video) while you are in the lab.
If you switch your registered class to another Math 1113 class (i.e. to a different CRN) after August 20^{th}, 2012, you should immediately contact the MILE and notify the MILE to make the necessary changes in the system with your new class CRN.
You are required to log in on the attendance tracking software, AccuTrack when you enter the MILE and log out when you leave the MILE, even for a short break. If you forget to log out when you leave the MILE, no credit will be given for attending the MILE for that period.
No food, drinks, water, gum, or candy is permitted in the lab. There are no exceptions. Violators will be removed.
All cell phones, pagers, watches, and any other electronic devices that beep or ring must be turned off during lab. Any kind of cell phone usage, even sending or reading text messages, will not be allowed.
The MILE rules and policies MUST be observed at all times. Please refer to the posted MILE Rules on CourseCompass.
During exam days, students may not be allowed to study in the MILE during test sessions. It is recommended that during testing week, students may plan to get the help prior to the scheduled exam days.
During Final Exam days, students will NOT be allowed to use the MILE for studying or practicing.
GRADE CONTENTS
Homework
The online homework assignments can be attempted an unlimited number of times prior to the due date.
The highest score will be recorded.
Homework can be done from anywhere using MyMathLab, but the preferred location is the MILE.
You are allowed to get help on homework, but the work submitted must be your own.
Homework should be used as preparation for quizzes. Do the homework exercises repeatedly until you can do the work correctly without any assistance from tutors, notes, or software tutorials.
Quizzes
You should have a minimum score of 90% on your homework assignment to be able to take the same section quiz.
The online quizzes can be attempted up to two times prior to the due date.
Your best score will be recorded.
Quizzes can be taken from anywhere using MyMathLab, but the preferred location is the MILE.
Please Note: All homework and quiz assignments must be completed by 11:59 pm on the following Monday of the week in which they are assigned, no exceptions. For example, the due date for the homework and quiz assignments for Lesson 1  2.3, 2.6, 2.7 scheduled for the class meeting on Tuesday, August 21^{st} is Monday, August 27^{th} at 11:59 pm. You MUST always verify the due dates of the assignments from the online MyMathLab calendar.
Tests
Four major tests and the mandatory Final Exam are administered for MATH 1111/1113 courses. The proctored, password protected tests using MyMathLab must be taken in the MILE.
Only one attempt is allowed for each test.
You are not allowed any assistance on a test.
After signing up for a test, if you will miss a test for a valid reason, contact your teacher at least 24 hours in advance with proper documents. An alternative slot may be arranged to take the test during the exam days only. No makeup session is available after the exam days.
There is a window in which a test can be taken, and you may select the day and time to take your test. Check your course schedule for the exact dates and times of your testing window. You must schedule your test prior to the opening of the testing window to be guaranteed a seat in the MILE. Use the test scheduler found at http://www3cas.gsu.edu/~themile/registration/
If you miss a test for any reason during your scheduled session, you may try to reschedule your session by logging back on to the test registration site to select another session from the available slots or contact the MILE immediately. If no slot is available, you may NOT be admitted at any other time.
** If you encounter any problem registering for the test or accessing your course compass account, please stop by the MILE and contact the MILE assistants before the 3day exam period begins. The registration issues may be resolved if you contact the MILE assistant before the very first day of the scheduled test days. The accommodations or alternative arrangements may not be guaranteed when the MILE capacity reaches its maximum. So, you are encouraged to sign up early to reserve your slot. No Makeup session is available after the exam days. It is important that you pay attention that the Final Exams will take place according to the University schedule. If you miss your Final Exam, NO Make up sessions will be offered after the scheduled slots of the Final Exam.
Please know that for all the tests, usually no vacant seat is available for the last several slots of the testing period to accommodate students without prior registration for those specific slots.
There will be upcoming information about how to schedule your test throughout the semester. Announcements for the test scheduler will be posted in CourseCompass.
You are required to take at least three out of four tests. No tests will be dropped, but if your final exam grade is higher than your lowest test score, your lowest test score will be replaced with your final exam score.
If you cannot appear at a test, you will receive a score of zero. In that case, as described earlier, your missing test score will be replaced by the Final Exam score during final grade computation.
Students will not be allowed to use iPod, cell phones, Bluetooth or any listening device during an exam. Once you start taking an exam, you may not leave the MILE before you submit the test. This may qualify as an ‘unattended exam’ and thus may be considered as academic dishonesty.
No Attendance Grade (MILE or Class).
Problem Solving Activities:
You will be given three Problem Solving Activities throughout the semester.
Problem Solving Activities account for 5 % of your overall grade.
These activities may require prior knowledge of High School level Math and requires critical thinking.
Pre & Post QL are extra credit assignments; Pre QL is offered at the beginning of the semester, Post QL is offered at the end of the semester. These bonus points will be added to the test score as described in the grade computation method, not to the Final Exam score. These extra credit assignments will not be available for make up after the due date and they are not available during the Amnesty Days.
GRADE CALCULATION
Formal Assessments:
Tests 45%
Quizzes 15%
Homework 10%
Problem Solving Activities 5%
Final Exam 25%
100 % total
NOTE: If your Final Exam score is higher than your lowest test score, it will replace the lowest test score in the determination of your final grade. Overall score will not be shown on MyMathLab Gradebook. You should calculate your overall average according to the statement in the syllabus. Please note that your homework average and quiz average are correct ONLY after work not attempted has been assigned a 'zero'.
Example of Final Grade Computation:
The Final Grade is computed by using the following method:
10% of Homework + 5% of Problem Solving Activities + 15% of Quiz + 11.25 % of (Test 1 + Test 2 + Test 3 +Test 4 + Pre QL +Post QL)^{ ♣} + 25% of Final Exam
^{♣ }If your Final Exam score is higher than your lowest test score, it will replace the lowest test score in the determination of your final grade.
For Example,
Homework: 90
Problem Solving: 91
Quiz Average: 78
Test Grades: T1 = 88, T2 = 72, T3 = 0 (missed), T4 = 68
Final Exam: 74
Pre QL: 4 pts.
Post QL: 5 pts.
Final Grade: .10*90 + .05*91+ .15*78 +.1125*(88 +72+ 74 + 68+9) + .25*74 = 78.74
Note: The final exam grade replaced the missing test grade.
NOTE: If your Final Exam score is higher than your lowest test score, it will replace the lowest test score in the determination of your final grade. The overall average in your MML grade book may be incorrect as it does not reflect the necessary changes for the final grade computation. Overall score will not be shown on MyMathLab Gradebook. You should calculate your overall average according to the statement in the syllabus! Please note that your homework average and quiz average are correct ONLY after work not attempted has been assigned a 'zero'.
Grading Scale:
Grade

A+

A

A

B+

B

B

C+

C

D

F

Range

97100

9396

9092

8789

8386

8082

7779

7076

6069

059

Rounding:
When determining the final average, grades will be rounded in the usual way. For example, a grade of 86.5 will be rounded up to an 87, but an 86.4 will not be rounded up.
Exam Coverage:
All exams are online and will be proctored in the MILE, UL301. Test weeks are on the calendar below.
Test 1: Sections 2.3, 2.6 – 2.8, 5.1 – 5.4
Test 2: Sections 6.1 – 6.5, 7.1 – 7.2
Test 3: Sections 4.1, 7.3 – 7.6
Test 4: Sections 8.1 – 8.4, 8.7
Final Exam: Comprehensive – All materials covered will be on the exam including Sections 10.1 and 10.2.
Calculator Policy: You will be provided a TI84 to use on all proctored assessments. This is the only calculator that will be used on the tests and final exam.
TEST POLICY: All tests are proctored in the MILE and are closed book and closed notes. All cell phones must be turned OFF. Students will not be allowed to use iPod, cell phones, Bluetooth, headphone or any listening device during an exam.
MakeUp Policy/Amnesty Days: As your final exam will replace your lowest test grade, no makeup exams will be given. Absence from the final exam will result in a grade of F for the course unless arrangements are made PRIOR to its administration. There will be NO makeup quizzes. If you miss a quiz or homework for any reason, these assignments will be reopened from 12:00 am on Saturday, Decenber 1^{st}, 2012 to 11:59 pm on Sunday, December 2^{nd}, 2012 for 48 hours to allow completion. This will be the only time they will be reopened. There will not be any extension for Amnesty Days.
Withdrawal: October 9^{th}, 2012 is the last day for regular withdrawal. Students are allowed to withdraw with a grade of W a maximum of six times in their undergraduate careers at Georgia State. The limit on withdrawals does not apply if a student withdraws from all classes during a term before the midpoint. However, students are only allowed to withdraw from all classes prior to the midpoint twice without having their withdrawals count against the limit. Students who withdraw from all classes a third or subsequent time will automatically receive a grade of WF in their classes if they have reached their limit of W's.
INCOMPLETE POLICY: Assignment of incompletes by an instructor follows the university
policy on incompletes. In particular: Incompletes can be assigned at the discretion of the instructor and not the student. A student must have completed most of the major assignments of the course (generally all but one). And the student must be earning a passing
grade in the course in the judgment of the instructor. In addition, in order to manage MILE resources, a specific schedule for completion of the assignments must be approved by the course coordinator prior to the assignment of the incomplete. If you do not get approval of the schedule or you deviate from schedule, there is no guarantee that you will be allowed to complete the assignments.
Student Accommodation Form: Students enrolled in MATH 1113 course through Office of Disability Services (ODS) MUST provide the proper documentation of R.I.T.A. form and the Accommodation letter in a timely manner as per ODS Exam protocol. Students eligible for extra time will be given additional time for the tests as indicated in the Letter of Accommodation. However, no additional arrangement will be made for the quiz assignments as this privilege is already incorporated in the quiz assignments.
Academic Integrity :
The complete Academic Honesty Policy may be found at http://www2.gsu.edu/~wwwfhb/sec409.html
You must bring a blank Blue Book on each test day and do not write any information on the front cover. Your Blue Book will be swapped with another Blue Book with a GSU official stamp. You will be given a coversheet before you take the exam. You must return the exam coversheet as well as your Blue Book. All work submitted for credit must be your own. Plagiarism will not be tolerated. If you plagiarize, you will receive an F for the exam or for the course depending on the severity of the infraction, and appropriate actions will be taken according to the University policy on plagiarism. If you have other windows open during an exam, this will also count as cheating. The Department of Mathematics and Statistics at Georgia State University has the right to regard finding unauthorized material in your calculator memory and having other windows open during the final exam as cheating. If you cheat, you will receive an F for the test or for the course depending on the severity of the infraction, and appropriate action will be taken according to the University policy on academic honesty.
* This course syllabus provides a general plan for the course, deviations may be necessary.
TENTATIVE COURSE OUTLINE FOR MATH 1113 – PreCalculus FALL 2012
Keep a copy near and dear
This day by day outline provides a general plan for the course; deviations may be necessary.
Monday

Tuesday

Wednesday

Thursday – In Class

Friday

20Aug

21 Aug

22 Aug

23 Aug

24 Aug

Week 1

First Day of Class




Lesson 1  2.3, 2.6, 2.7





27 Aug

28 Aug

29 Aug

30 Sep

31 Aug

Week 2
Lesson 2  2.8, 5.1, 5.2





3 Sep

4 Sep

5 Sep

6 Sep

7 Sep

Labor Day
University Closed
Week 3

Lesson 3 – 5.3, 5.4




10 Sep

11 Sep

12 Sep

13 Sep

14 Sep

Week 4
Lesson 4  6.1, 6.2


Test 1 Sections 2.3, 2.6 – 2.8, 5.1 – 5.4

17 Sep

18 Sep

19 Sep

20 Sep

21 Sep

Week 5
Lesson 5 – 6.3, 6.4





24 Sep
Week 6
Lesson 6 – 6.5, 6.6

25 Sep

26 Sep

27 Sep

28 Sep

1 Oct

2 Oct

3 Oct

4 Oct

5 Oct

Week 7
Lesson 7 – 7.1, 7.2





8 Oct

9 Oct  W day

10 Oct

11 Oct

12 Oct

Week 8
Lesson 8 – 7.3, 7.4


Test 2: Sections 6.1 – 6.6, 7.1 – 7.2

15 Oct

16 Oct

17 Oct

18 Oct

19 Oct

Week 9
Lesson 9 – 4.1, 7.5





22 Oct

23 Oct

24 Oct

25 Oct

26 Oct

Week 10
Lesson 10–7.6, Review





29 Oct

30 Oct

31 Oct

1 Nov

2 Nov

Week 11
Lesson 11 – 8.1, 8.2, 8.3


Test 3: Sections 4.1, 7.3 – 7.6

5 Nov
Week 12

6 Nov

7 Nov

8 Nov

9 Nov

Lesson 12 – 8.4, 8.7





12 Nov
Week 13

13 Nov

14 Nov

15 Nov

16 Nov

Lesson 12 – 10.1, 10.2


Test 4: Sections 8.1 – 8.4, 8.7

19 Nov

20 Nov

21 Nov

22 Nov

23 Nov

Thanksgiving Break

Thanksgiving Break

Thanksgiving Break

Thanksgiving Break

Thanksgiving Break

26 Nov
Week 14
Lesson 14Review for Final

Last Day of Tues inclass

Last Day of Wed inclass

Last Day of Thurs inclass

Last Day of Fri inclass

3 Dec

4 Dec

5 Dec

6 Dec

7 Dec

Week 15

Final Exam: All sections including 10.1 and 10.2

Amnesty Days  from 12:00 am on 12/1/2012 to 11:59 pm on 12/2/2012.
Final Exam schedule  Tuesday, December 4^{th}, 2012 through Friday, December 7^{th}, 2012 at the following times in the MILE, UL301:
Tuesday, December 4, 2012:

8:00 am – 10:30 am,
10:45 am – 1:15 pm,
1:30 pm – 4:00 pm,
4:15 pm – 6:45 pm

Wednesday, December 5, 2012:

8:00 am – 10:30 am,
10:45 am – 1:15 pm,
1:30 pm – 4:00 pm,

Thursday, December 6, 2012:

8:00 am – 10:30 am,
10:45 am – 1:15 pm,
1:30 pm – 4:00 pm,
4:15 pm – 6:45 pm

Friday, December 7, 2012:

8:00 am – 10:30 am
10:45 am – 1:15 pm,
1:30 pm – 4:00 pm

MATH 1113 – Content Standards
Title: Precalculus
Catalog course description. Prerequisite: Math 1111, or departmental approval. Trigonometric functions, identities, inverses, and equations; vectors; polar coordinates, conic sections.
Goals. Prepare students for a course in calculus by consolidating their understanding of algebraic, trigonometric, exponential, and logarithmic functions, and the introduction of ideas leading to the concepts of limit and derivative.
Course Content Standards
The following standards are offered as guidelines for assessing student progress, judging the effectiveness of instructional programs, and developing curricular units. The subject matter outlined in these standards represents the minimum knowledge in which a student should demonstrate proficiency at the successful completion of the course.
CS1. Quantitative Reasoning
Students will use quantitative reasoning in problem solving situations including: geometric an symbolic representation and manipulation; pattern recognition; translating mathematics into words and words into mathematics; recognizing incorrect answers and arguments and knowing when an answer is reasonable; being able to write out a solution in a logical and clear form rather than presenting a collection of unidentified intermediate numbers that may end with the final numerical answer.
CS2. Algebraic Functions
Students will use functions and related concepts including: recognition of a function in either graphical, table, implicit, or explicit form; be able to find domains and ranges and determine if a function is onetoone; perform operations of functions including composition, finding inverses, and finding difference quotients; graphically determine when a functions is increasing, decreasing, constant, onetoone, continuous, and even or odd; apply basic graph transformations including af(x), f(x) + d, f(x – c), f(bx), f(x), f( x) to the parent functions; graph a function defined as piecewise.
CS3. Defining the Trigonometric Functions
Students will use circular and trigonometric functions and related concepts including: find exact values of the functions by using the unit circle, wrapping function, and special triangles; know the relationship between radian measure and degree measure and be able to convert from one unit to the other; know the definition of the six (6) trigonometric functions as related to the right triangle; distinguish between right angled and oblique triangles and recognize the appropriate method needed to solve the triangle (Law of Sines, Law of Cosines, Pythagorean Theorem)
CS4 Use of Trigonometric Functions
Students will demonstrate knowledge of and be able to use trigonometry. Specifically: (1) given one of the trig values of an angle in a certain quadrant, be able to find the other five trigonometric functions through identities not limited to Pythagorean, identity, reciprocal identities, even/odd identities and quotient identities, (2) solve oblique triangles using the Law of Sines, and Law of Cosines, and work related applied problems, (3) graph the basic six trigonometric functions, including sine and cosine functions with applied graph transformations; identify the domain, range, period, amplitude and phase shifts of the functions. (4) find the exact values of the inverse trig functions, (5) solve linear and quadratic trigonometric equations and equations with compound angles.
CS5. Mathematical Proofs
Students will demonstrate an understanding of mathematical proofs and related concepts by specifically developing: sum, difference, and cofunction identities, double angle and half angle formulas, and sum to product and product to sum identities.
CS6. Analytic Geometry
Students will be demonstrate knowledge of and be able to use analytic geometry concepts and related techniques, including polar coordinates and conic sections including: convert polar to rectangular coordinates and vice versa; sketch graphs of polar functions including cardioids, roses, circles, and spirals; identify equations of parabolas, hyperbolas, and ellipses and sketch their graphs.
CS7. Vectors
Students will demonstrate an understanding of algebraic and geometric vectors and be able to use them to model situations and solve problems.
CS8 Applications and Technology
When applying analytic, algebraic, geometric and algorithmic techniques to solving applied problems, students should be able to use technology when appropriate. Care should be taken to ensure that use of technology is not accompanied by a decrease in mathematical or fundamental understanding.
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