Larry Whittington
Mathematics, Algebra, Calculus, Functions, Ratios and Proportions
Material Type:
Full Course, Homework/Assignment, Syllabus
Academic Lower Division
  • High Impact Course Material
  • Openstax
  • Precalculus
  • Syllabus
  • THECB Grantee
    Creative Commons Attribution
    Media Formats:

    Education Standards

    Sample MATH 2412 PreCalculus OpenStax Syllabus


    This is an example of a redesigned course that uses the OpenStax PreCaculus Textbook. Emphasis is placed on the structure of course (which is not conics centric) and how homework is implemented. To avoid the financial responsiblity of the student or higher education institution purchasing publisher online homework services like Pearson's MyMathLab, ConnectMath or Aleks; students are assigned exercises from the textbook that have answers available. The strategy is to give access to the answers of the problems so that the students have to prove how the answer was obtained. This allows the students some immediate feedback if their written process does not obtain the solution given in the back of the textbook.

    This allows the student to recognize that a process, operation or strategy was carried out incorrectly which can be used to draw attention that a question needs to be raised during the next lecture or additional assistance may be required on their journey to mastery of the content.

    Sample MATH 2412 PreCalculus OpenStax Syllabus and Homework Assignments

    MATH 2412│Section 1 │XXXXdays & XXXXdays XX:XXam – XX:XXpm


    Larry Whittington








    Office Hours:

    XXXXdays and XXXXdays XX:XXam – XX:XXpm

    I check emails every day; however, you can expect a response from me within 48 hours. Emails after 5pm Friday will be answered Monday.


    Class Location: Room XXX





    Fall 20XX


    Office Location:


    Room XXX




    Important Dates:

    Class Start Date                      August XXth  

    First Exam Date                      September XXrd

    Last Day to Withdraw            October XXth


    Course Description

    In-depth combined study of algebra, trigonometry, and other topics for calculus readiness. (ACGM)


    Credit Hours

    3 Credit Hours | 45 hours per semester

    Semester Credit Hour Definition


    The minimum amount of time for a one-credit-hour course per semester equals 50 minutes per week for 15 weeks of engaged learning plus one week for final examinations or other methods of assessment. A credit hour is an amount of work represented by intended learning outcomes and verified by evidence of student achievement, for the various modes of instruction offered at North American University. Therefore, a 3 semester-credit-hour course contains at least 45 hours of engaged learning time (i.e., instruction/student engagement/educational experience) for 15 weeks. 


    The unit of measurement for academic work is the credit hour. One academic semester credit hour is equal to a minimum course time of:  


    (A) 15 hours of classroom lecture


    (B) 30 hours of laboratory experience


    (C) 45 hours of internship/externship/practicum


    Course Format


    This course is In-Person: In order to complete this course successfully students need access to a computer and the Internet daily. This course is in person but will have some Online Components (discussion board, group work, online assignment submissions, etc.) All instructions are contained in this syllabus and in the j1 eLearning course management system.


    Online Components are in the j1 eLearning course management system. In order to access j1 eLearning, please click MyPortal app on your Office365 portal. For j1 eLearning and course related issues, please contact with Distance Education Support via one of the following methods:

    •          Visit Room XXX

    •          Call XXX-XXX-XXXX



    Technical Requirements

    This course requires assignments to be submitted in Microsoft Office or Adobe Acrobat (pdf) file formats. Assignments created using other applications, such as Google Documents, Microsoft Works, or WordPerfect, are not acceptable.



    Additional Software

    Access to an Internet browser such as Firefox, Safari or Google Chrome is mandatory for success. You will need to access the university’s LMS (Learning Management System) Jenzabar eLearning daily to maximize your potential in this course.



    Course Prerequisites

    MATH 1314 College Algebra


    Learning Outcomes

    Upon completion of this course, students will:


    • Demonstrate and apply knowledge of properties of functions. (ACGM).
    • Recognize and apply algebraic and transcendental functions and solve related equations. (ACGM).
    • Apply graphing techniques to algebraic and transcendental functions. (ACGM).
    • Compute the values of trigonometric functions for key angles in all quadrants of the unit circle measured in both degrees and radians. (ACGM).
    • Prove trigonometric identities. (ACGM).
    • Solve right and oblique triangles. (ACGM).


    Core Curriculum


    Through the core curriculum, students will gain a foundation of knowledge of human cultures and the physical and natural world; develop principles of personal and social responsibility for living in a diverse world; and advance intellectual and practical skills that are essential for all learning.

    THECB Core Objectives


    • Critical Thinking Skills - to include creative thinking, innovation, inquiry, and the analysis, evaluation, and synthesis of information.
    • Communication Skills - to include effective written, oral, and visual communication.
    • Teamwork - to include the ability to consider different points of view and to work effectively with others to support a shared purpose or goal.
    • Personal Responsibility - to include the ability to connect choices, actions, and consequences to ethical decision-making.
    • Social Responsibility (Lit Only)—to include the ability to connect choices, actions, and consequences to ethical decision- making 



    All required Core Objectives will be assessed for all courses offered as part of the

    Core Curriculum; optional Core Objectives may be assessed at faculty discretion and will be considered in program-level reviews of institutional effectiveness relating to the delivery of instruction. 



    Course Materials

    • A Laptop, Tablet or Desktop Computer compatible with Jenzabar eLearning.
    • Pre-Calculus from OpenStax, Print ISBN 1-938168-34-8, Digital ISBN 1-947172-06-9,
    • A scientific or graphing calculator is permitted and recommended. (No calculators will be allowed on quizzes or exams)

    Course Components



    Students are expected to spend approximately six (6) hours a week, on average completing homework assignments in order to achieve the learning objectives for this 16-week lecture course. This meets the federal government’s expectation of two (2) hours homework for each hour of lecture.

    All homework will be assigned on a regular basis (every day of class) and the DUE DATE will be the following class.  You may seek assistance from your instructor when needed. Late homework will not be accepted. Paper-based homework will not be accepted. 



    There are 4 exams and 1 comprehensive final exam. The exam schedule for this course is part of the tentative calendar at the end of the syllabus. Do not miss an exam unless it is unavoidable. If you know in advance that you must miss an exam, notify me BEFORE the exam, and if I determine that the absence is justified, I will adjust the grading formula for you, but I WILL NOT give a make-up exam. Otherwise, you will receive a grade of 0 for the missed exam.  


    Course Grading


    Grading Breakdown

    Activity Types

    Point Values



    3/4 Exams


    Individual CA Project 1


    Individual CA Project 2


    Comprehensive Final



    Total: 100 %


    Grading Conversion Table

    Point (or Percentage Achieved) 

    Course Grade 





















    Below 50 


    Need a "C" or better to pass this course.








    Assignment Guidelines


    INDIVIDUAL COLLEGE ALGEBRA PROJECT 1:  This individual college algebra project will count as 10% of your semester grade and will be evaluated using the following rubric:



    Level 5

    Level 4

    Level 3

    Level 2

    Level 1


    Expertly conveys thoughts or ideas to an audience to the point of being influential and leaving a lasting impression

    Competently conveys thoughts or ideas to an audience and presents him/herself as a knowledgeable presenter

    Is comfortable conveying thoughts or ideas to an audience

    Limited ability to convey thoughts or ideas to an audience

    Inability to convey thoughts or ideas to an audience


    Expertly engages an audience and knows how to draw out the most participation from a group

    Competently engages an audience with at least a quarter of the audience participating in the discussion

    Engages an audience with an acceptable level of familiarity

    Limited ability to engage an audience

    Inability or reluctance to engage an audience


    Expertly describes the process and can teach the process to students who may not be familiar with the process prior to the presentation

    Competently shows how the problem is solved and has a format that the audience can relate to or understand clearly

    Has some understanding of the process, but requires assistance in formulating the process or remembering the steps involved

    Limited ability to convey any knowledge or understanding of the process needed to solve the problem

    Inability to convey any knowledge or understanding of the process needed to solve the problem


    Expertly follows the process, uses the correct formulas, demonstrates mastery of the concept, and solves the problem flawlessly

    Competently follows the steps and has one minor error during the process that may or may not lead to an incorrect answer

    Shows competency in the process, but has minor errors that need to be corrected through the computational part of the problem

    Difficulty performing the steps and operations required to achieve an accurate result

    Inability to accurately solve the problem and requires assistance through the entire process
















    INDIVIDUAL COLLEGE ALGEBRA PROJECT 2:  This individual college algebra project will count as 15% of your semester grade and will be evaluated using the following rubric:



    Level 5

    Level 4

    Level 3

    Level 2

    Level 1


    Expertly differentiates among interpretations of quantitative information, including causality and correlation

    Competently differentiates among interpretations of quantitative information, including causality and correlation

    Differentiates among interpretations of quantitative information, including causality and correlation

    Limited ability to differentiate among interpretations of quantitative information

    Inability to differentiate among interpretations of quantitative information


    Expertly interprets quantitative measures, including statistical significance and descriptive statistics (mean, median, mode)

    Competently interprets quantitative measures, including statistical significance and descriptive statistics (mean, median, mode)

    Interprets quantitative measures, including statistical significance and descriptive statistics (mean, median, mode)

    Limited ability to interpret quantitative measures

    Inability to interpret quantitative measures


    Expertly utilizes quantitative measures (electronic, graphical, tabular or numerical) to make informed decisions in a variety of contexts

    Competently utilizes quantitative measures (electronic, graphical, tabular or numerical) to make informed decisions in a variety of contexts

    Utilizes quantitative measures (electronic, graphical, tabular or numerical) to make informed decisions in a variety of contexts

    Difficulty utilizing quantitative measures to make informed decisions in a variety of contexts

    Inability to utilize quantitative measures to make informed decisions in a variety of contexts





    Students are responsible for:

    • reading any assigned reading as stated in the weekly blocks of the course page
    • reviewing the web-page resources posted in the course page for each week
    • reading all discussion postings in the weekly blocks as assigned
    • posting weekly discussion postings as assigned
    • assuring that their computer/device is compatible and working to engage effectively in this online course
    • uploading assignments before or on the assigned due date/time

    Students can expect:

    • the instructor will return email and phone communications within 24 hours unless otherwise announced in the course page.
    • homework assignments will be graded after 7 days of the due date.


    Student Help


    Student Success and Career


    The North American University Student Success Center is located on the 8th floor of the Main Building. The Success Center provides an open space that meets the academic needs of students to create a more conducive learning environment. The Student Success and Career Office offers the following educational enhancement initiatives:

    Freshman Peer Mentor Program

    • Content Based Tutoring

    • Academic Coaching

    • Career Advising

    • Academic Workshops

    • Career counseling

    • Career and Internship Fairs

    • Interview Preparation Meeting (Mock Interviews)

    • Resume / Cover letter development seminars


    Learn more by visiting The Student Success Center online:

    Library Resources  

    Students are expected to do research using databases, periodicals, and journals. Please visit the library's website for more detailed information: 


    Communication Expectations


    Now that you are scholars who make learning your full-time occupation, you may find a situation in which you need to contact me at any given time of day. I encourage you to email me at, visit me during my posted office hours, or propose an appointment time should you need to meet at a different time. REMINDER: If you find yourself unable to attend a scheduled exam due to a pressing matter, you must contact me at least 24 hours in advance to discover whether we can reschedule the date. Unless you are physically ill, I can imagine no other valid excuse for missing an exam.


    General Course Requirements & Professor Expectations


    1. Be punctual. The professor must provide a learning environment conducive to learning for all students. Tardiness is distracting and disruptive to fellow students and the professor.  Students who miss quizzes or class assignments due to tardiness may not be able to make up the missed grade. The student may visit with fellow classmates to acquire notes of information missed or may make an appointment with the professor for further direction.


    1. Avoid absences. Your best chance to do well in this class is to attend every class meeting.  Students are expected to be diligent. It is expected that students will access Jenzabar eLearning every day and will complete the weekly assignments by the due date. Students are also expected to actively participate with the learning content using the Jenzabar eLearning platform. Therefore, it is vital that students complete the assigned readings and assignments on schedule so that they are prepared. The University’s attendance policy states that regular and punctual class attendance is essential and that no assigned work is excused because of absence, no matter what the cause. Records of class attendance are kept by faculty. When an accumulation of absences reaches the point of endangering a student’s academic status or exceeds 6 class hours, the faculty member can report the situation to the Registrar’s Office to begin proceedings to drop the student.  A professor should not assume that continued absence from class indicates an official withdrawal until notified by the Registrar (NAU Student Handbook).  


    1. Plan for exams. If a student cannot make it to class for a scheduled exam because of a pressing matter, it is the student’s responsibility to make arrangements with the professor and schedule a different date for the exam. It is up to the instructor whether the excuse for missing a test date is valid.


    1. Submit assignments on-time. Late work will not be accepted; however, extensions may be granted under certain circumstances at my discretion. 


    1. Note that Exam scores are final.  Once a quiz or exam has been auto graded, the grade will remain as is, unless the exam was not fully graded due to technical issues. 


    1. Gradebook Policy. The Gradebook in Jenzabar eLearning will be used to track your graded assignments; however, it is only a tool to track grades earned on assignments and to give you an approximate idea of the grade you may receive in this courseThe grade reflected in the Gradebook, may not be the grade earned at the end of the semester. You must meet all requirements and you must follow all policies established for this course such as the attendance policy in order to receive the grade reflected in the Gradebook. I reserve the right to change the Gradebook grade.


    1. Adhere to copyright regulations.  “Unauthorized photocopying of copyrighted works, including musical works, may be unlawful and may infringe the copyright of the copyright owner. Students in possession of unauthorized duplications of copyrighted material are subject to appropriate disciplinary action as well as those civil remedies and criminal penalties provided by federal law.”


    1. Silence your mobile devices.  Cell phones are required to be “turned off” or set on a silent/vibrate mode. Under no circumstances will any student be allowed to carry on a telephone conversation or text during the class session. In case of emergencies, please leave the room as quietly and courteously as possible.


    1. Maintain a clean learning environment.  Students may keep food and drinks at their desks but must ensure the area is clean before leaving for the day.  In lab environments, food and drinks are not permitted around lab equipment.


    1. Demonstrate respect in the classroom.  Each student is expected to demonstrate respect to the professor, fellow classmates, and practicum personnel (if applicable).  
    2.  Demonstrate professionalism.  Each student is expected to act professionally, both in and out of the classroom.  Any inappropriate verbal disgracing regarding this program will result in probation, suspension, and/or dismissal of the program.  NAU reserves the right to exclude at any time persons whose conduct is undesirable.


    1. Technology Requirements:


    University Policies


    Americans with Disabilities Act (ADA)


    North American University complies with Section 504 of the Rehabilitation Act of 1973 and the Americans with Disabilities Act of 1990, pertaining to the provision of reasonable academic adjustments/auxiliary aids for students with a disability. In accordance with Section 504 and ADA guidelines, NAU provides reasonable and appropriate accommodations to eligible students upon their request. Persons with disabilities who desire accommodations are encouraged to contact the Student Services Office. This process begins with the student completing and submitting the Learning Disability Accommodation Request form, which can be found on the University website at:


    Then the student/parents provide official supporting documentation from a physician. Once these items are submitted, the Student Services Office follows up with the student’s instructors to update them about the student’s pending accommodations. All information pertaining to the student is maintained with the Student Services Office.

    Accommodations may include but are not limited to:

    • Extended time for tests

    • Separate/quiet testing environment

    • Note taking assistance

    • Enlarged written materials

    • Books on Tape

    • Preferential seating


    Sexual Harassment

    Policy Sexual Harassment is defined unwelcome, sexual and/or gender-based verbal, written, online and/or physical conduct. Any form of conduct that has the purpose or effect of interfering with a student’s performance or access to University programs or which creates an intimidating or hostile learning or living environment is also sexual harassment. Sexual harassment will not be tolerated at the University. If you believe that you have experienced an incident of sexual harassment, contact Human Resources immediately so that a proper investigation can be conducted.





    Student Complaint Policy and Procedure

    North American University is committed to treating all students fairly and respectfully. One of the methods NAU employs to achieve this outcome is the use of a student complaint system. A formal complaint is a request for the resolution of a problem, conflict, concern, or issue that negatively impacts a student(s). Student formal complaints may include (but are not limited to) issues regarding classroom instruction, policies, procedures, services, and offices. Formal complaints must be filed using NAU’s formal complaint form. A variety of channels exist at North American University to resolve problems that a student may encounter. Formal complaints that involve discrimination and sexual/sexual harassment are addressed under Title IX and are handled separately from the processes described below. Formal complaints involving grades where the final course grade is disputed and/or the student believes that the final grade is not indicative of his/her academic performance are addressed by the grade appeal process. In an instance of perceived violation of a policy, a student may file a complaint. This policy provides two avenues for pursuing a complaint: 1. An Informal Resolution Procedure and 2. A Formal Resolution Procedure.


    For complete complaint policy and procedure please visit the Student Handbook online at:


    Student Rights and Responsibilities:


    NAU monitors academic progress every fall and spring semester to identify those students who are experiencing difficulty with their courses.  Satisfactory Academic Progress (SAP) is based upon two componentsGPA of 2.0 or higher and successful course completion of at least 67% of course work attempted.  Students remain in good standing with the University’s and Financial Aid when both criteria are met.  Students who do not maintain these required minimum standards will be placed on probation or suspension as appropriate.  The complete Satisfactory Academic Progress policy and the Undergraduate Satisfactory Academic Progress for Financial Aid policy can be found in the current Undergraduate Catalog.  


    “Incomplete” Grades

    “Incomplete” grades are given only at the professor’s discretion and must be requested by the student.  If the professor grants the “Incomplete,” the student has until ninety (90) days after the beginning of the next regular semester to complete the course requirements. If the student does not complete the course requirements within the deadline, the grade of “Incomplete” will automatically convert into a grade of “F.”  Please note that “Incompletes” are given only in an emergency or when there are extenuating circumstances.  Refer to the catalog for additional details about receiving a grade of “Incomplete” in a course.


    Academic Integrity

    Students are expected to be above reproach in all scholastic activities.  Students who engage in scholastic dishonesty are subject to disciplinary penalties, including the possibility of failure in the course and expulsion from the UniversityPlagiarism will not be tolerated. You must use proper MLA documentation indicating borrowed work by using quotation marks to capture someone else’s words verbatim, as well as a parenthetical citation containing the author’s name. I will use my own discretion, but plagiarism will likely result in either a zero for the assignment or the student being dropped from the course.


    Note that the institution has a firm policy against scholastic dishonesty, which “includes but is not limited to:


    • Submitting homework, or paper that is partially or entirely the work of someone else.

    • Violations of Copyrights.

    • Dishonesty in ANY coursework.

    • Submitting, as original work, a term paper which has already been submitted in another course.

    • Copying from any other student's paper or allowing a student to copy from your paper.

    • Cheating.

     (NAU Student Handbook, Page 29). This policy will be strictly enforced.


    Since scholastic dishonesty harms the individual, all students, and the integrity of the University, policies on scholastic dishonesty will be strictly enforced.


    All scholastic dishonesty incidents will be reported to the Coordinator of General Education.  Do not allow your peers to pressure you to cheat.  Your grade, academic standing, and personal reputation are at stake.


    Some components of this course are designed to be highly interactive with students helping each other learn; however, all written assignments are designed to represent the efforts of each student individually and not to be shared. When students submit their efforts for grading, they are attesting that they have abided by this rule.


    Plagiarism includes, but is not limited to, the use of, by paraphrase or direct quotation without correct citation in the text and on the reference list, the published or unpublished works of another person. Students may NOT submit papers and assignments that they have previously submitted for this or other courses. The use of materials generated by agencies engaged in "selling" term papers is also plagiarism. Students are encouraged to review the tutorials and suggested websites for more information about plagiarism. Papers and other assignments may be submitted to an external agency for verification of originality and authenticity.


    By enrolling in this course, the student expressly grants NAU a "limited right" in all intellectual property created by the student for the purpose of this course. The "limited right" shall include but shall not be limited to the right to reproduce the student's work product to verify originality and authenticity, and for educational purposes.


    Academic Responsibilities

    Students are expected to be diligent in their studies and complete class requirements. Students are responsible for all class work and assignments. On recommendation of the professor and with the approval of NAU administration, students may, at any time, be dropped from courses. This may result in a “W” or “F” on the student’s permanent record.





    Senate Bill 11 (SB11)

    The Open Carry Law allows license holders to carry their handguns in an open manner throughout the state of Texas as long as the handgun is secured in a shoulder or belt holster. They MAY NOT OPENLY CARRY on the premises of a university or on a public or private driveway, street, sidewalk or walkway, or parking area of a university.


    The Campus Carry Law concerns the carrying of concealed handguns on campus and went into effect for four-year universities in August 2016. The Campus Carry Law permits CONCEALED handguns to be carried by valid Concealed Handgun License (CHL) holders on a university campus, in portions of the campus approved for carry. Link to bill:

    Course Calendar


    Week Number 


    Class Details   





    Must show your work!

    XXXXday XX/24


    No Class


    XXXXday XX/26 


    Introduction to Pre-Calculus / What Matters





    OpenStax Exercises

    XXXXday XX/31


    Exponential Functions

    1 – 49, 61 – 67 odd

    XXXXday XX/2


    Graphs of Exponential Functions

    1 – 45 odd





    XXXXday XX/7


    Logarithmic Functions

    1 – 53 odd and 65

    XXXXday XX/9


    Graphs of Logarithmic Functions

    1 – 49 odd





    XXXXday XX/14


    Logarithmic Properties

    1 – 37 odd

    XXXXday XX/16 


    Exponential and Logarithmic Equations- Assign 1st Project

    1 – 67 odd





    XXXXday XX/21

    1st Project

    Presentations for 1st Project


    XXXXday XX/23

    Test 1: Chapter 4

    Assessment of Chapter 4 Online eLearning Exam






    XXXXday XX/28


    Angles – Assign 2nd Project

    1 – 67 odd

    XXXXday XX/30


    Unit Circle: Sine and Cosine Functions

    1 – 79 odd, 101 and 103





    XXXXday XX/5


    The Other Trigonometric Functions

    1 – 51 odd, 73 and 75

    XXXXday XX/7 


    Right Triangle Trigonometry

    1 – 31 odd, 53 and 55





    XXXXday XX/12


    Graphs of the Sine and Cosine Functions

    1 – 41 odd

    XXXXday XX/14 


    Graphs of the Other Trigonometric Functions

    1 – 45 odd, 55 and 57





    XXXXday XX/19


    Inverse Trigonometric Functions

    1 – 61 odd

    XXXXday XX/21 

    Test 2: Chapters 5 & 6

    Assessment of Chapters 5 & 6 In-Class Exam






    XXXXday XX/26

    7.1, 7.2

    Equations with Identities, Sum and Difference Identities

    1 – 33 odd; 1 – 41 odd

    XXXXday XX/28 


    Double-Angle, Half-Angle, and Reduction Formulas

    1 – 43 odd





    XXXXday XX/2


    Sum-to-Product and Product-to-Sum Formulas

    1 – 43 odd

    XXXXday XX/4


    Solving Trigonometric Equations

    1 – 71, 93 – 105 odd





    XXXXday XX/9

    Test 3 Chapter 7

    Assessment of Chapter 7 In-Class Exam


    XXXXday XX/11 

    9.1, 9.2

    Systems of Linear Equations: Two Variables or Three Variables

    1–45, 57–77 o; 1–45, 51–69 o





    XXXXday XX/16


    Systems of Nonlinear Equations and Inequalities: Two Variables

    1 – 45 odd, 55 and 57

    XXXXday XX/18 

    9.4, 9.5

    Partial Fractions, Matrices and Matrix Operations

    1 – 53 odd; 1 – 53 odd





    XXXXday XX/23


    Solving Systems with Gaussian Elimination

    1 – 45, 53 – 61 odd

    XXXXday XX/25


    Thanksgiving Day






    XXXXday XX/30


    Solving Systems with Inverses

    1 – 41, 53 – 61 odd

    XXXXday XX/2

    Test 4: Chapter 9

    Assessment of Chapter 9 Online eLearning Exam






    XXXXday XX/7

    Final Review

    Review for the Final Examination Pt. 1


    XXXXday XX/9 

    Final Review

    Review for the Final Examination Pt. 2






    XXXXday XX/14

    Final Exam

    Final Examination In-Class Final Exam 11:30am – 2:30pm


    XXXXday XX/16

    Finals Week

    No Class