Pre-Calculus/MAT 187
Fall 2016-Spring 2017, CRN: ______________
Dual Enrollment Course at Prescott High School
Monday – Friday in Room 510
Instructor Information:
Name: Mrs. Marcie Jacobs
Email: [email protected]
Office Hours: 1 – 3 pm Tues & Thurs
Phone: (928) 445-2322 ext. 510
or by appointment
Website: https://sites.google.com/a/prescottschools.com/mrs-jacobs-math-classes/
Pre-Calculus is a dual credit course that will earn you 5 credit hours from Yavapai College
and 1 credit at Prescott High School
Dual Enrollment through Yavapai College: This course is offered through a Dual Enrollment
partnership between Prescott High School and Yavapai College resulting in credits that are
counted towards both your high school and college education. Being enrolled in both institutions
means:
 You will establish a permanent college academic record and transcript at Yavapai
College that may be required by future colleges or universities. This permanent academic
record may impact eligibility for future financial aid.
 All students are expected to be in compliance with all current published Prescott High
School and Yavapai College policies, rules, and regulations. Yavapai policies are stated in
the Student Code of Conduct
In accordance with FERPA-Family Educational Rights and Privacy Act of 1974 (www.yc.edu/ferpa).
Yavapai College records belong to the student, who can share with the parent by logging on to the
website at www.yc.edu
Course Description: Topics from college algebra and trigonometry essential to the study of
calculus and analytic geometry. Includes linear, quadratic, polynomial, rational, exponential,
circular, and trigonometric functions, trigonometry, systems of equations, and matrices. Note:
Graphing calculator required (TI-83/84+ recommended). Duplicate credit for MAT 152 and/or MAT
183 and MAT 187 will not be awarded.
Prerequisite: B or better in Algebra II Honors and a satisfactory score on the mathematics skills
and reading proficiency assessments.
Course Content:
1. Functions: Definitions and Operations of the following functions:
linear, quadratic, polynomial, rational, exponential, logarithmic, circular, trigonometric
2. Trigonometry
3. Systems of equations
4. Matrices
5. Graphing calculators
6. Vectors
Learning Outcomes: Upon successful completion of this course, the learner will be able to:
1. Use definitions and operations associated with functions, including inverses,
combinations, and compositions. (1,2) (QL 1)
2. Represent and interpret functions in a variety of ways; numeric, symbolic, graphic,
and verbal. (1-5) (QL 3,4)
3. Solve equations and systems using a variety of techniques including algebraic and
graphical. (1-5) (QL 4)
4. Graph basic functions and use translations to reflect changes made to basic functions.
(1-3) (QL 1,3)
5. Apply mathematics in context and model real situations using mathematics. (1-4,6)
(QLO 2)
6. Use basic trigonometric properties and identities. (1,2,4) (QL 1)
7. Communicate findings both in writing and orally using mathematical language and
symbolism with supporting data and graphs. (1-5) (QL 1,3)
Textbook:
Precalculus with Limits - A Graphing Approach,3rd Ed. by Larson, Hochstetler, Edwards
Grading Policy:
Grading Scale: 90-100% A, 80-89% B, 70-79% C, 60-69% D, 59% and below F
Grading Procedures: Your overall grade is based on the following weight system:
20% Homework, 30% Quizzes and 50% Tests. The points earned through homework, projects,
class activities, quizzes/tests, and notebook quizzes will be assigned to one of the categories in the
weight system. Your overall grade will be calculated by the points you earn and the value of the
points within the weight system.
Homework: 10 pts per assignment (due 2 days after assigned), 20% of grade
Class Activities: 5-10 pts per activity, weighted with Quizzes
Notebook Quizzes: 100 pts per quarter (2 quizzes, 50 pts each), weighted with Tests
Tests: 100 pts per test, 50% of grade
Quizzes: 30-60 pts per quiz, 30% of grade
Trigonometric Project: 100 points (equivalent to one test grade), weighted with Tests
Extra Credit: 2 pts extra credit for each homework problem that you volunteer to work out and
explain to the class. You may earn a maximum of 10 pts each quarter, weighted
with Quizzes.
You will be given a grade for each Quarter at PHS, but your grade for Yavapai College will be your
average for the year. Each semester grade will be calculated as follows:
1st Quarter Grade: 40%, 2nd Quarter Grade: 40% and Final Exam: 20%
Required Course Materials:
It is REQUIRED that you bring the following to class every day:
-Pencil and Paper
-Textbook
-A graphing calculator (TI-83+ or TI-84+). You can rent one from the math department, if needed,
for $20 (paid at the bookstore).
-Binder with 5 tabs (Focus Questions, Notes, Homework, ACT and Quizzes)
-Positive Attitude
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Class Expectations:
-Be Respectful and Responsible
-Be Alert, Prepared, and On Task
-All assignments must be labeled with Name, Period, Date, and Assignment
-All work must be shown to receive full credit for an assignment
Tardies: You are expected to be in class and seated by the time the bell stops ringing. A
detention will be given on a student’s 4th tardy and every tardy thereafter. Be on time and we won’t
have any problems.
Attendance: Attendance is a vital element in a student’s success in school (especially math). If
you accumulate 5 unexcused absences or 10 total absences you will be placed on the no credit list
and you will have to appeal to try to receive credit for the class.
PowerSchool: Your progress can be accessed from your computer through PowerSchool.
Please contact the front office to receive information on how to access PowerSchool from home.
Procedures for our classroom:
1. Be in your seat and have class materials (including previous night’s homework) out and
ready to begin class when the bell rings.
2. Work on Focus Question posted on the board.
3. Go over homework and answer questions, if needed.
4. Give your full attention to the teacher or anyone else who is speaking.
5. Remain in your seat unless otherwise instructed.
6. Leaving the classroom to use the restroom, drinking fountain or locker is NOT permitted
unless it is an emergency. If you leave the room, your phone must remain in the room.
7. Do not touch any items that belong to the classroom, teacher or other students unless you
are given permission to do so.
8. At the end of the period, remain in your seat until the bell rings and wait for teacher to
dismiss the class.
If you choose to not follow the procedures, the following process will be used:
1. Warning
2. Detention
3. Removal from the classroom (to office)
Fire Drill Procedure: In the event of a fire drill, we will line up single file and follow the plan
posted by the classroom door (exit classroom to the left, go to the end of the hall, turn right, exit the
building and gather as a class in the north parking lot). At the end of the drill, we will return to the
classroom in a single file line as well.
Lock Down Procedure: In the event of a lock down, we will get on the floor at the back of the
classroom (with NO talking or electronic devices) and remain in the room until otherwise instructed.
Electronic Devices (cell phones, ipods, etc.): NO ELECTRONIC DEVICES may be used in class
(not even as a calculator) unless permission is given to use it for educational purposes. If I see an
electronic device or think that you are using one, I will take the item and you will have to pick it up
from me at the end of the school day for the first offence, then from the office for any offence after
the first.
Food/Drink: You may have water, but that is the only drink allowed. You may also have a snack
item (granola bar, crackers, fruit snacks, etc), but please do not bring a “meal”. Basically, any item
that will not make a mess in the classroom is acceptable.
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Homework Policy: You will have class time some days to begin homework assignments to give
you the opportunity to ask questions. All homework assigned will be due two days after they
are assigned unless otherwise stated. You will be given an opportunity to ask questions on
each assignment the day after it is assigned. Assignments will be collected at the beginning of
class on the second day. Full credit will be given if ALL problems are attempted. Points will be
deducted accordingly for assignments that do not have all problems attempted and work shown.
Testing Policy: You must finish all test and quizzes during the class period. You will not be
permitted to come back later to finish a test or quiz.
Missed Work: If you are absent, you can check the website or with another student to find out
what you missed. YOU are responsible for finding out what you missed in your absence and for
any topics addressed during your absence, this includes tests/quizzes. It is NOT the teacher’s
responsibility to come to you. For excused absences, you will have the number of days you are
absent plus one day to make up your work but only if the due date was announced while you were
absent. For example, if you are absent Monday, an assignment is announced due Wednesday,
and you return Tuesday, you have one extra day. However, if the assignment is announced
Monday due Wednesday, and you are absent Tuesday, you do not have extra time. Anything that
is not made up in that time will be a zero. For unexcused absences, you will receive a zero and
the work cannot be made up.
Late Work: I do not accept late work. If you are present the day an assignment is announced and
the day it is due, and you do not hand it in, you will receive no credit. If you are present the day an
assignment is announced and absent the day it is due, you are expected to turn in the assignment
as soon as you return.
School Activities: If you know several days in advance that you will be absent due to a school
activity (or any other legitimate excuse), let me know and I will make sure you have your
assignments in advance. These assignments will be due as soon as you return.
Absent On Test Day: If you are absent on the day of a test or quiz, you have no more than one
week from the day of your return to make it up. You must schedule a time outside of class, and
you will be given the same amount of time as everybody else. If you are absent for a review day,
but present the day of the test, you will take the test along with everybody else. If you miss
material leading up to a test, it is your responsibility to get help prior to the test.
Academic Integrity & Student Conduct: We will follow the “PHS Student Handbook” and
“Yavapai College’s Code of Conduct” for all matters regarding discipline. Cheating will not be
tolerated. If a student is caught cheating, they will receive a zero on the work in question at a
MINIMIUM. (per Yavapai College Policy)
Honesty in academic work is a central element of the learning environment. “Cheating” is the act
of obtaining or attempting to obtain credit for academic work through the use of any dishonest,
deceptive, or fraudulent means.” It will be assumed that you will present your own work. The
presentation of another individual’s work as one’s own or the act of seeking unfair academic
advantage through cheating, plagiarism or other dishonest means are violations of the College’s
Student Code of Conduct.
“Plagiarism” is a form of cheating. Plagiarism is the use of distinctive ideas or works belonging to
another person without providing adequate acknowledgement of that person’s contribution.
Violation and penalties for cheating are available in the Yavapai College Student Code of Conduct.
http://www.yc.edu/v5content/student-services/code-conduct.htm) Violations of these rules will
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result in a record of the infraction being placed in your file and receiving a zero on the work in
question at a MINIMUM. At the instructor’s discretion, you may also receive a failing grade for the
course.
Physical or Non-Physical Disabilities, etc.: If you are aware of any physical or non-physical
disability that may affect your attendance and/or performance in class, you must take the
responsibility to meet with me as soon as possible to make the appropriate accommodations.
College Learning Centers & Tutoring: Learning Centers are available on both the Prescott and
Verde Valley Campuses. These centers provide a variety of learning support for students including
tutoring, adaptive computer and learning equipment for students with disabilities, and a networked
general computer lab for registered students. Please call for details: Prescott - 776-2085, or
Verde Valley – 634-6562. Web link: http://www.yc.edu/v5content/learning-center/
YC Disability Resource Services: Disability Resource services provides qualified students with
disabilities ranging from mobility needs, hearing or vision impairment, and learning disabilities
equal access and reasonable accommodations in all Yavapai College academic programs and
activities. This office supports disability and accessibility awareness and promotes a welcoming
environment to all. Contact the Disabilities Resource Director for an appointment. Web Link:
http://www.yc.edu/v5content/disability-resources/
YC Libraries: Library services are available online through the YC website to all students and
also at the Prescott and Verde Valley Campuses. Both campuses include public computer access
and are members of a countywide library network, which provides access to a wide range of
information and resources at libraries throughout Yavapai County. Web Link:
http://www.yc.edu/v5content/library/
YC Open Computer Labs: Most campuses have open computer lab hours for currently enrolled
students. The Prescott and Verde Campus offer Computer Commons. Please check your campus
site for availability and schedules. Web Link:
http://www.yc.edu/v5content/academics/divisions/bucs/computer-commons/
I am looking forward to an enjoyable and successful year as you progress through Pre-Calculus.
As you can tell, I am requiring you to keep a notebook for this class. This is required to help you
organize the material given in class and to use as a tool when you study for tests or quizzes. You
will also be given an assignment sheet at the beginning of each chapter that will list the goals and
homework assignments for the chapter.
Please don’t hesitate to ask questions or to ask for extra help if you are struggling. I want you to
be successful and I am happy to help in any way I can.
Sincerely, Mrs. Jacobs
Important Dates: There will be NO CLASS on September 5, September 26, October 10-14,
November 11, November 23-25, January 16, February 17, February 20, March 13-17, April 14 and
April 17.
Note: Your instructor will make every attempt to follow the above procedures and the following
schedule, but they may be changed in the event of extenuating circumstances.
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Course Outline:
Below is a TENTATIVE schedule for the fall semester.
Week
Activity
8/1-8/5
8/8-8/12
8/15-8/19
8/22-8/25
8/29-9/2
9/5-9/9
9/12-9/16
9/19-9/23
9/26-9/30
10/3-10/7
10/10-10/14
10/17-10/21
10/24-10/28
10/31-11/4
11/7-11/11
11/14-11/18
11/21-11/25
11/28-12/2
12/5-12/9
12/12-12/16
12/19-12/23
Course Introduction, Pre-Test, P1 Graphs of Data
P2 Graphs of Equations and P3 Lines in a Plane,
Quiz P1-P3
P4 Solving Equations and P5 Solving Inequalities
P5 Solving Inequalities, Ch. P review, Ch. P Test
1.1 Functions and Quarter 1 Notebook Quiz #1
1.2 Graphs of Functions and Regression
1.3 Graph Translations and Quiz 1.1-1.3
1.4 Combinations of Functions and 1.5 Inverse Functions
1.5 Inverse Functions and Types of Graphs Quiz #1
Ch. 1 Review, Ch. 1 Test, Q1 Notebook Quiz #2
Fall Break (No class)
2.1 Quadratic Functions and 2.2 Polynomial Functions
2.3 Real Zeros of Polynomials and 2.4 Complex Numbers,
Quiz 2.1-2.3
2.5 Fund. Th. of Algebra and 2.6 Rational Functions
2.7 Graphs of Rational Functions, Ch. 2 Review
Ch. 2 Test, Q2 Notebook Quiz #1
3.1 Exponential Functions and 3.2 Logarithmic Functions
3.3 Properties of Logarithms and Quiz 3.1-3.3
3.4 Solving Exponential and Log Equations and
3.5 Exponential and Log Models, Basic Graph Quiz #2
Ch. 3 Review, Ch. 3 Test, Q2 Notebook Quiz #2
Review and Semester Exam
Learning
Outcome
2,3,5
Course
Content
1,5
2,3,5
2,3,5
2,3,5
1,2,5
2,4,5
1,2,4,5
1,2,4,5
1,2,4,5
1,2,4,5
1,5
1,5
1,5
1,5
1,5
1,5
1,5
1,5
1,5
2,3,5
1,5
2,3,5
2,3,5
2,3,5
2,3,5
1,3,5,7
1,3,5
1,5
1,5
1,5
1,5
1,3,5
1,3,5
1,3,5,7
1,3,5,7
1-7
1,3,5
1,3,5
1,3,5
Below is a TENTATIVE schedule for the spring semester.
1/9-1/13
4.1 Radian and Degree Measure, 4.2 Unit Circle and
4.3 Right Triangle Trigonometry
1,2,5,6,7
2,5
1/16-1/20
4.3 Right Triangle Trig and Quiz 4.1-4.3
1,2,5,6
2,5
1/23-1/27
4.4 Trig Functions of Any Angle, 4.5 Sin and Cos Graphs 1,2,5,6
2,5
1/30-2/3
4.5 Sin and Cos Graphs, 4.6 Graphs of Other Trig Functions,
Discuss Trig Project, Quiz 4.5-4.6, Q3 Notebook Quiz #1 1,2,5,6
2,5
2/6-2/10
4.7 Inverse Trig Functions, 4.8 Applications and Models
1,2,5,6
2,5
2/13-2/17
Ch. 4 Review, Test Ch. 4, Basic Graph Quiz #3
1,2,5,6
2,5
2/20-2/24
Trig Project Presentations, 5.1 Fundamental Identities
1,2,5,6,7
2,5
2/27-3/3
5.2 Verifying Trig Identities, Quiz 5.1+5.2
1,2,5,6
2,5
3/6-3/10
5.3 Solving Trig Equations 5.4 Sum and Difference Formulas,
Q3 Notebook Quiz #2
1,2,5,6
2,5
3/13-3/17
Spring Break (no class)
3/20-3/24
5.5 Multiple-Angle and Product-Sum Formulas, Ch. 5 Review,
Ch. 5 Test
1,2,5,6
2,5
3/27-3/31
6.1 Law of Sines, 6.2 Law of Cosines
3,5,6
1,2,5
4/3-4/7
6.3 Vectors in a Plane, 6.4 Vectors and Dot Products
3,5,6
1,2,5
4/10-4/14
Ch. 6 Review, Ch. 6 Test
3,4,5
1,2,5
4/17-4/21
7.1 Solving Systems of Equations, 7.2 Systems of Linear Equations in 2 Variables,
Q4 Notebook Quiz #1
4,5
6,5
4/24-4/28
7.3 Multivariable Systems, 7.4 Systems of Inequalities
4,5
6,5
5/1-5/5
Ch. 7 Review, Ch. 7 Test, Basic Graph Quiz #4
4,5
4,5,6
5/8- 5/12
12.1 Introduction to Limits, 12.2 Evaluating Limits
5
3,4,5
5/15-5/19
Quiz 12.1+12.2, Notebook Quiz #2, Final Review
1,5
3,4,5
5/22-5/26
Review and Final Exam
1-6
1-6
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Dear Parent/Guardian:
Hello! My name is Mrs. Marcie Jacobs and I will be your child’s Pre-Calculus teacher this
year. Your child should have brought home his/her course syllabus to share with you so
that you can be familiar with it as well. I also wanted to let you know there are a few
materials that your child will need to have for this class. The following is a list of those
items:
1. 3-ring binder (1½ inch) with 5 dividers. The 5 dividers should be labeled:
Focus Questions, Notes, Homework, ACT and Quizzes
2. Notebook paper, graph paper, ruler and pencil.
3. Graphing Calculator - I recommend the TI-84+ Graphing (this can be purchased at
stores like Wal-Mart, Staples, Best Buy, Target or Office Max for around $90- $120).
If you are unable to purchase this calculator, your child can rent a graphing calculator
from the school for $20 (paid for in the bookstore).
To be successful in any math class, the student must attend class, complete assignments
on time and show mastery of concepts. Test and quiz scores account for a large portion of
the grade. A student cannot perform well on a quiz or test without first practicing the
concepts enough times on homework in order to master them. Students who don’t complete
assignments rarely do well on tests or quizzes. Please help your son or daughter to
maximize their potential in this class by providing support and encouragement at
home. This can be done by:
 Checking that your child is completing assignments and keeping organized notes.
 Providing a place at home conducive to studying.
 Encouraging your child to come in for help as soon as they recognize they need it.
 Encouraging your child to form a study group with other students in the class.
 Reminding your child to plan ahead and budget time appropriately.
As you can tell, I am requiring your son/daughter to keep a notebook for this class. This is
required to help your child organize the material given in class and to use as a tool when
he/she studies for tests or quizzes. He/she will also be given an assignment sheet at the
beginning of each chapter which will list the goals and homework assignments for the
chapter. In addition, all assignments and handouts can be found on my website.
I am looking forward to an enjoyable and successful year with your child. If you have any
questions about the materials needed or anything else about this course, feel free to contact
me at 928-445-2322 ext. 510.
Sincerely,
Marcie Jacobs
Mathematics Teacher, Prescott High School
Adjunct Mathematics Professor, Yavapai College
P.S. Please sign and return the following page with your child showing that you have
received this letter and have seen the course syllabus. Thank you!
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Student Information Form:
Please sign below to indicate that you have reviewed the information regarding you
son/daughter’s math course and that you understand the course/classroom expectations.
Please return this by Monday, August 8th.
Student Name (Print Please): _____________________________________________
Student Signature: ______________________________________________________
Parent/Guardian Name (Print Please): ______________________________________
Parent/Guardian Signature: ______________________________________________
Parent/Guardian Phone: _________________________________________________
Parent/Guardian E-Mail: _________________________________________________
Math Class Taken Last Year/Teacher: _____________________________________
Grade Received in Previous Math Class: ___________________________________
Please include any comments or additional contact information below. If you have
any questions or concerns, feel free to call or e-mail me anytime.
Thank you,
Mrs. Marcie Jacobs
Comments or Additional Information:
______________________________________________________________________
______________________________________________________________________
______________________________________________________________________
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