Plane Trigonometry


  2. A. Course Title: Plane Trigonometry
    B. Course Number: MA 123 - 30281
    C. Semester: Fall 2018
    D. Days/Time: Online
    E. Credit Hours: 3
    F. Instructor: Schmitz, Charlotte
    G. Office: Heidel Hall (HH) 216
    H. Email Address:
    I. Office Phone: (575) 492-2817
    J. Office Hours: Monday: 8:30:00 AM-11:00:00 AM (MST);
    Tuesday: 8:00:00 AM-9:30:00 AM (MST);
    Wednesday: 8:30:00 AM-11:00:00 AM (MST);
    Thursday: 8:00:00 AM-9:30:00 AM (MST);
    Friday: 8:30:00 AM-10:30:00 AM (MST);
    Questions submitted Monday through Friday by 9:00 am will have a reply within 24 hours. Questions submitted over weekends or holidays will be answered by the end of next academic day. Note: Grades for regular coursework will update to Canvas daily. Grades for assessments will be posted within one week of deadline announced in class or in Canvas.
    K. Time Zone: Mountain Time
    L. Prerequisite(s): MA 113 or appropriate placement test score
    M. Corequisite(s):
    N. Class Location: Virtual

    This course will cover trigonometric functions, solutions of right triangles, properties and relationships between trigonometric functions, radian measures of the angles, graphs of trigonometric functions, the addition formulas, double-angle formulas, half-angle formulas, solution of the general triangle, inverse trigonometric functions, and solutions of trigonometric equations. This is a three credit hour course. Prerequisite: MA 113 or equivalent or appropriate score on a placement test.


    Trigonometry is the study of triangles and the measurements within triangles, which is a necessary component of Physics, Engineering, and Calculus. Trigonometry should transfer to most colleges for mathematics credit.



    PRECALCULUS; Paul Sisson; Hawkes; Second Edition
    Textbook WITH courseware access: 978-1-941552-90-2

    DO NOT attempt to set up your account using Hawkes Learning website. You must connect through the link in Canvas to have access to your work.

    Note: Hawkes courseware comes with an automatic free trial period of 14 days. This temporary access starts on the first day of class and cannot be extended. Please plan for how to purchase the access code prior to the end of the trial period.

    Students may chose any type of calculator for lessons, but tests will require a scientific calculator only. NO graphing calculators will be allowed on tests.


    You can buy your books online at the NMJC Bookstore.


    Students attending New Mexico Junior College will be evaluated according to the following grading scale:

    						90 - 100%	=	A
    						80 -  89%	=	B
    						70 -  79%	=	C
    						60 -  69%	=	D
    					 	 0 -  59%	=	F


    Warning: This course requires proctored exams.  Students are required to use an approved testing facility.  Read information regarding Assessments carefully.  Contact the instructor for additional information.

    For this course your grade will be made up of the following:

    HOMEWORK:                     15%   

    CHAPTER TESTS:              25%   

    ASSESSMENTS:                  60%   

    HOMEWORK is done online using Hawkes courseware.  It is accessed using the “Hawkes Single Sign On” module in Canvas.  Homework due dates can be viewed on the “To-Do” list in Hawkes.  Assignments can be accessed beyond the due date, but a late penalty is applied.  Grades are reviewed weekly after a due date for assignments or tests.  Assignments not attempted before the deadline are posted as zeros in the grade book.  Zeros must be improved by catching up on the work.  Access to all homework ends on Monday of final exam week, no exceptions.  If an assignment is blocked please contact me immediately so I can check settings and fix problems.  Each lesson “Certify” requires 80% mastery.  Hawkes provides a Learn, Practice, Certify system to earn scores.  Each lesson has a homework help file posted in Canvas.  These are intended to help you understand how to show the work and grasp the concepts more thoroughly. 

    CHAPTER TESTS must also be done in Hawkes.  They are accessed by clicking the “Tests” tab after opening the Single Sign On link.  Tests are timed and have two attempts.  Use the first attempt to gauge your knowledge of chapter material.  Then use the “Review” option (immediately following the test or from the grade book) to go over your mistakes and see correct answers in preparation for a second attempt.  Be sure to allow plenty of time and verify internet connection before starting a test.  Timing and loss of connection can result in loss of one or both attempts.  Contact me immediately if access to a test is lost.  Sometimes I can reopen a test and sometimes I can delete an attempt to free up access again.  After two attempts, if the required mastery score of 70 is not earned contact me.  I will want know what you believe the problem is and how you should use the previous attempts before I offer you additional options.  These things can be time consuming so be prepared and work ahead as much as possible.

    ASSESSMENTS must be taken on paper in the testing center or in the classroom and are NOT available in Hawkes.  Assessments are given twice during the semester.  The first one is to be taken after chapter 6 and then a set of final assessments are given during final exams or sooner if you complete the course work early.  “Final assessments” ARE the final exam broken into four separate parts: graphing, solving, notation and applications.  Reviews for each assessment are posted in Canvas in the last module.  Final Assessments are available through Wednesday of final exam week.  Notify your instructor of the testing center you will use before midterm.  If you live within driving distance of NMJC campus, you must use the NMJC testing center- no exceptions.  Driving distance is considered anywhere in Lea County or within 60 miles of Hobbs.

    Note: Grades for work completed in Hawkes will update to Canvas daily.  Grades for assessments will be posted within one week after the deadline announced in class or in Canvas.


    o   Assessments make up 60% of the course grade and there is only one attempt on each.  All instruction and course work during the semester leads to PROVING LEARNING on final assessments in key skill areas.  Lack of preparation, fatigue, apathy, misunderstanding or any other reason for doing poorly on assessments dramatically decreases final grades.  Be practiced, be prepared and be confident before taking assessments.  (Simply put, the average score on assessments pretty much determines your course grade.  You can sabotage your entire grade in the course by failing to prepare for the assessments.  PLEASE do not let that happen!)  

    o   NMJC’s Academic Success Center employs tutors whose job it is to help you LEARN.  They are happy to assist you while you work through “Practice”, but they will not help with “Certify” or with chapter tests (unless it is to help you understand mistakes after submitting an answer).  Also, they are extremely busy at the end of the semester.  There will be limits on the amount of time allowed with tutors.  The priority will be in helping students prepare for final exams.  They will NOT prioritize students who fell behind in their work and are trying to catch up at the last minute. 

    o   Any incident of academic dishonesty on proctored exams will result in a zero on the entire set of assessments associated with the incident.






    Retrieving Grades from T-BirdWeb Portal
    Go to the New Mexico Junior College T-BirdWeb Portal login page. Please enter your User Identification Number (ID), which is your Banner ID, and your Personal Identification Number (PIN). When finished, click Login.

    Tips for Success in Online Courses:
    1. Log in to class regularly.
    2. Pay attention.
    3. Take notes.
    4. Keep up with readings and assignments.
    5. Ask questions when you do not understand something.
    6. Utilize your professor’s office hours and e-mail.
    7. Read the text.
    8. Adhere to the deadlines posted in the course outline.


    New Mexico Junior College’s institutional student learning outcomes represent the knowledge and abilities developed by students attending New Mexico Junior College. Upon completion students should achieve the following learning outcomes along with specific curriculum outcomes for respective areas of study:


    Plane Trigonometry (MA123) is designed to emphasize definitions and uses of the six trigonometric functions in various types of problems and real world situations. 

    The course content of Trigonometry (MA123) supports NMJC’s mission of “promoting success through learning” by encouraging students to accomplish the following:

    ·         Graph various types of functions.  

    ·         Solve various types of equations. 

    ·         Use the necessary notation for each topic including showing work for sequences of simplifying expressions.  

    ·         Set up and solve various types of application problems. 

    ·         Apply each of the above skills as part of the critical thinking and problem solving process.





    At the completion of this course the student should be able to:

    ·         Solve right triangles.

    ·         Apply right triangle solutions to applications in physics and surveying.

    ·         Use degrees and radians as necessary.

    ·         Solve arc length and linear velocity problems and applications.

    ·         Graph trig functions both basic and advanced.

    ·         Prove identities and use advanced trigonometric formulas as applied in calculus.

    ·         Solve trigonometric equations.

    ·         Apply the Law of Sines and the Law of Cosines to solving triangles.

    ·         Compute the area of any triangle.

    ·         Apply Law of Sines and Cosines to applications in physics and surveying.



    Student Requirements
    If you have not already received login information for Canvas/T-BirdWeb Portal/E-mail, you will need to contact the Enrollment Management office at (575) 492-2546.

    Check first-time login page for instructions at

    Canvas Assistance

    You must have access, on a regular basis, to a computer that supports the Canvas minimum specifications and has an active connection to the Internet. See the minimum computer specification requirements at


    GETTING STARTED:  Login to Canvas, complete course information quiz, connect to Hawkes course ware system and begin working on lessons.

    RESOURCES to successfully complete Trigonometry: 

    ·        Work with your instructor as needed (by phone or online);

    ·        Go to the Academic Success Center to work with a tutor for homework help (NMJC Academic Success Center is located in room 123 Mansur Hall, phone number is 575-492-2624);

    ·        Use “Brainfuse”, an online tutoring service (click here to check out Brainfuse); Also, Hawkes gives you one hour for online tutoring that can be access through the

    ·        Communicate with your instructor about any problems regarding your success in class. 


    Ř  Participate in class- take notes while watching videos and ask questions.

    Ř  Abide by deadlines and requirements. 

    Ř  Do not use “Mathway” or other online problem solving apps.  Quick answers from using those things for progress through lessons and chapter tests come at a cost on assessments.  Maintaining an A on regular course work, but failing assessments will lead to a final grade of D or F. 

    PROFESSIONAL COMMUNICATION:  Please use appropriate, professional language, grammar and structure in your emails.  I will do the same.  Do not send an email that looks and reads as though it were composed as a text message.



    hi miss can you open test 2 for me plsi got behind bc my other classes are more fun and i dont get this stuf thx


    Dear Professor Schmitz,

    Would you please allow me until Friday to take chapter 6 test?  I am not understanding section 6.4.  Are you available at noon tomorrow so I can get help with it?


    Student who plans to make an A



    NMJC Communication Standard:

    ü  No text language (For example do not use i, BTW, LOL, IDK…)

    ü  Correct spelling and proper capitalization

    ü  Complete sentences (Start a sentence with a capital letter and end it with a period.)

    ü  Logical organization

    This class will require consistent effort all semester.  Allowing yourself to fall behind will greatly increase probability of failure or need to withdraw.  Remember, if you neglect course work for two weeks or more, I will withdraw you from class.  Failing or withdrawing are a complete waste of your time and money.  If it gets stressful, be willing to make adjustments to your schedule and priorities.  Finishing a required class is a very temporary intrusion to your life.  Be realistic and don’t sacrifice your greater life goals for things going on right now. 

    What will it take to earn credit for Trigonometry?

    “To-Do-List” of 23 assignment scores: 14 lessons (Note this means 14 Practices and 14 Certifies, total of 28); 4 chapter tests; 1 mid-course assessment; 4 final assessments

    Calculation of reasonable time required for each of the above components of the course:

    Practice and Certify for each lesson @ approximately 3 hours each = 84 hours; Chapter Tests @ about 2 hours each = 8 hours; Mid-course Assessment prepare and complete = 6 hours

    Total prior to final assessments = 98 hours

    All this should fit into the first 14 weeks of class.  Allow for first week of “getting started” and we have 13 weeks- 98 hours / 13 weeks = 7.5 or about 8 hours per week. 

    Some weeks will take more some will take less to meet deadlines.  This is the reality of what it takes to meet the stated objectives which warrant credit hours on a degree plan or preparation for the next course. 

    If you know you cannot commit to this amount of work, consider changing your schedule before the refund period expires to avoid all waste of time and money.  (Refund period is through the first week of class only.  Check the academic calendar for the actual date and make a decision before then.)








    Students will be held responsible for the information on these pages.

    Academic Honesty
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    Americans with Disabilities Act (ADA) Information
    Any student requiring special accommodations should contact the Special Needs Student Services Coordinator at (575) 492-2576 or by e-mail at

    Attendance Policy and Participation Expectations
    It is expected that you regularly log into class at least three times weekly and check your Canvas mail to ensure you have not missed any changes/updates. Students are expected to complete discussions/quizzes/tests/ assignments before deadlines expire.

    Canvas Help
    If you experience difficulty with Canvas you may reach the Canvas Helpdesk at, or by calling the 24 hour helpdesk phone at (575) 399-2199.

    The professor is responsible for monitoring and evaluating student conduct and student behavior within the Canvas course. By registering for this class, the student is assumed to have entered into an agreement with New Mexico Junior College and the professor to log into the class regularly and to behave in an appropriate manner at all times. Disruptive behavior may result in the student being removed from the class and dropped for the semester. For comprehensive information on the common rules of netiquette and other online issues, please review the NMJC Online Student Handbook.

    Online Learning Environment
    By participating in an online class, you undertake responsibility for your own progress and time management.

    Offering the work of another as one’s own, without proper acknowledgment, is plagiarism; therefore, any student who fails to give credit for quotations or essentially identical expression of material taken from books, encyclopedias, magazines and other reference works, or from the themes, reports, or other writings of a fellow student, is guilty of plagiarism. Plagiarism violates the academic honesty policy and is considered cheating.

    Tutoring Assistance
    Free tutoring services are available to all NMJC students through Brainfuse and the Academic Success Center located at the Pannell Library on the 1st floor.

    Withdrawal Policy
    The instructor has the right to drop any student who has failed to log on to Canvas for two weeks or more, but it is not guaranteed that the instructor will drop you. If the student chooses to stop attending a class, he/she should withdraw from the class by accessing your student account in the T-Bird Web Portal at, or submitting the required paperwork to the Registrar’s Office by 5:00 p.m. on Tuesday, November 20, 2018. Failure to withdraw yourself from a course by this date may result in your receiving an “F” in the course. All students are encouraged to discuss their class status with the professor prior to withdrawing from the class.


    Trigonometry Course Outline

    For Hawkes Precalculus book 


    This outline is tentative and subject to change at the discretion of the instructor.



    Section number and Title



    Day 1

    Complete Course Information Module and Module Zero



    Weeks 1-3

    Chapter 6: Trigonometric Functions

    6.1 Radian and Degree Measure of Angles


    1.      The Unit Circle and Angle Measure


    2.      Conversion between degrees and radians


    3.      Commonly encountered angles


    4.      Arc length and angular speed


    5.      Area of a circular sector

    6.2 Trigonometric Functions of Acute Angles


    1.      The six basic trigonometric functions


    2.      Evaluation of trigonometric functions


    3.      Applications of trigonometric functions

    6.3 Trigonometric Functions of Any Angle


    1.      Extending the domains of the trigonometric functions


    2.      Evaluation using reference angles


    3.      Relationships between trigonometric functions


    Unit Circle- fill in angles and points




    Chapter 6 Sections 1, 2, 3 TEST (Notation, Applications)



    Weeks 4, 5

    6.4 Graphs of Trigonometric Functions


    1.      Graphing the basic trigonometric functions


    2.      Periodicity and other observations


    3.      Graphing transformed trigonometric functions


    4.      Damped harmonic motion


    6.5 Inverse Trigonometric Functions


    1.      The definitions of inverse trigonometric functions


    2.      Evaluation of invers trigonometric functions


    3.      Applications of inverse trigonometric functions


    4.      Evaluating inverse trigonometric functions (T)



    Chapter 6 Sections 4, 5 TEST (Graphing, Notation)



    Week 6

    Mid-Course Assessment

    Proctored test, on paper, testing center required


    Unit Circle Quiz included with Mid-Course Assessment




    Chapter 7: Trigonometric Identities and Equations

    Weeks 7-8

    7.1 Fundamental Identities and Their Use


    1.      Previously encountered identities


    2.      Simplifying trigonometric expressions


    3.      Verifying trigonometric identities


    4.      Trigonometric substitutions


    7.2 Sum and Difference Identities


    1.      The identities


    2.      Using sum and difference identities for exact evaluation


    3.      Applications of sum and difference identities




    Chapter 7 Sections 1, 2 TEST (Notation)



    Weeks 9-10

    7.3 Product-Sum Identities


    1.      Double-angle identities


    2.      Power-reducing identities


    3.      Half-angle identities


    4.      Product-to-sum and sum-to-product identities


    7.4 Trigonometric Equations


    1.      Applying algebraic techniques to trigonometric equations


    2.      Using inverse trigonometric functions



    Chapter 7 Sections 3, 4 TEST (Solving)


    Chapter 8: Additional Topics in Trigonometry

    Weeks 11-12

    8.1 The Law of Sines and the Law of Cosines


    1.      The Law of Sines and its use


    2.      The Law of Cosines and its use


    3.      Areas of triangles


    8.5 Vectors in the Cartesian Plane


    1.      Vector terminology


    2.      Basic vector operations


    3.      Component form of a vector


    4.      Vector applications


    8.6 The Dot Product and Its Uses


    1.      The dot product


    2.      Projections of vectors


    3.      Applications of the dot product




    Chapter 8 Sections 1, 5, 6 TEST (Notation, Applications)



    Weeks 13-14

    8.2 Polar Coordinates and Polar Equations


    1.      The polar coordinate system


    2.      Coordinate conversion


    3.      The form of polar equations


    4.      Graphing polar equations


    5.      Graphing polar equations (T)

    8.3 Parametric Equations


    8.4 Trigonometric Form of Complex Numbers


    1.      The complex plane


    2.      Complex numbers in trigonometric form


    3.      Multiplication and division of complex numbers


    4.      Powers of complex numbers (DeMoivre’s Theorem)


    5.      Roots of complex numbers




    Week 15

    Review for final assessments





    Finals Week

    Final Assessments:

    All parts are proctored, on paper, in testing center or classroom



    ·       Graphs



    ·       Solving



    ·       Notation



    ·       Applications



    All four parts must be completed before the last day of finals