Course Description:
The purpose of this course is to emphasize the study of functions and other skills necessary for the study of calculus. Students are expected to master the skills and thoroughly understand the concepts covered in the course. They are expected to retain this knowledge, which will generally not be reviewed in the course. Mathematical concepts are often introduced at an abstract and theoretical level. New ideas are often developed through student investigation with guidance from the teacher. Students will be expected to apply their knowledge to openended and nonroutine problems. Students will sometimes be expected to learn material by reading the textbook and/or solving problems on their own. Students are expected to be highly selfmotivated, taking the fullest responsibility for their own learning and seeking help when needed.
Topics shall include, but not be limited to, polynomial, rational, exponential, inverse, and circular functions; theory of limits; vectors; conic sections; and polar coordinates.
Behavioral Expectations
The teacher plays a role in learning but ultimately, you are responsible for the quality of your education. In order to maximize your learning experience, ask yourself the following questions:
 Do you attend classes on a regular basis?
 Are you on time to class?
 Are you prepared for class  pencil/pen, notebook, calculator?
 Do you do your homework everyday?
 Do you pay attention in class, participate in discussions and ask relevant questions?
 Do you treat all other students with respect and allow for open educational debate?
 If you are absent, do you make an effort to find out what was covered and make up the work?
 Do you seek extrahelp as soon as possible if you did not understand something in class?
 If you miss a test, do you take the initiative to arrange a makeup?
These are the behaviors that make for a good student and a good learning environment. You are expected to be such a student.
Mr. PEACOCK
Precalculus Syllabus
Office: Room 2437
Web Site: www.peacockmaths.org
Tutoring: Mon., Tue., and Thurs. after school by appointment
Phone: 7543215300 ext. 3218
Required:
• Textbook: Addison Wesley, Stats Modeling the World
• Math Notebooks: 3 notebooks total – two spiral notebooks (one for class notes and one for homework) and a binder notebook (for handouts and misc. papers). Required for class every day.
The class notes notebook will be maintained as follows;
1. Will be taken and maintained IAW the SplitPage Note Taking (aka Cornell Notes) procedures discussed in class. Notes may be taken before, during or after class.
2. Powerpoint on SplitPage Note Taking procedures can be accessed on my web site.
3. Notes will be graded IAW the Independent SplitPage Note Taking Rubic.
4. When absent, students are responsible for obtaining missed notes. All class notes are given as PowerPoint lectures and are available on my web site.
5. Class notes notebook will graded by chapters on the test. The notebook will be collected the day of each test.
The homework notebook will be maintained as follows;
1. Heading on the top of the first page of an assignment. Heading shall include assignment section number, problems assigned, name, period and date.
2. Show all work to receive credit for homework assignments.
3. Homework will be checked daily at the beginning of class during the homework quiz.
The 3 ring binder will be maintained as follows;
Keep all handouts, worksheets and misc. items..
• Graphing Calculator (GDC): TI89 required for class everyday.
1. The TI89 calculator will be issued to students and used during class and at home too familiarize students with its operation.
2. The TI89 or any other graphing may not be used on any quiz or test in this class.
Students may use scientific calculators are quizzes and tests.
• Students are required to bring their notebooks and calculator to class each day. Failure to do so will affect your ability to complete this course satisfactorily.
Attendance:
• This course is very fastpaced and demanding. One topic builds on another. Daily participation is a must. You are responsible for all material presented in class, present or absent, including announcements about course procedures. Exams, quizzes, and homework may include questions on material presented only in class, so performance on these indirectly reflects attendance. I do not reteach previous lessons. If you are absent, it is your responsibility to review the material covered, complete the assignments missed and if you require additional help attend tutoring after school. Tardies – IAW ATC student handbook.
Evaluation:
You must show all work, neatly and organized, or give an explanation to receive
credit for all answers. All work in this course most be your own work IAW the student honor code and the Ethical Practice in AP Statistics.
• Examinations: Chapter tests and/or projects are 60% of total grade. Books and /or notes are not allowed to be used at anytime during a test. Violation of the student honor code will be handled IAW the ATC Student Handbook.
• Quizzes: Homework quizzes are 15% of total grade. Each homework quiz will contain 4 questions and be graded as follows: 4 correct 100, 3 correct  85, 2 correct  70, 1 correct  50. Normally, a homework quiz will be given during the first 10 minutes of class on days when homework is due. Additional quizzes may also be given at times. Homework quizzes missed due to excused absences will not be made up and will not count towards final grade. Homework quizzes missed due to unexcused absences or tardies will be assigned a grade of zero.
• Homework: Homework is 10% of total grade. Homework will be checked when assigned during the first 510 minutes of class (during the homework quiz). All work must be shown to receive credit, answers only will receive no credit. All work must be neat and organized. Full credit for a homework assignment is 2 points. Partially completed homework will receive half credit, 1 point. No late homework will be accepted. Homework will normally be given on completion of a Section/Lesson.
• Notebook: Class Notes Notebook is 10% of total grade. Notebook will be graded IAW the Notes Grading Rubric on a scale of 0 to 20. Late notebooks will be graded IAW the ATC student handbook.
• Class Participation Grade: Class participation is 5% of total grade. Class participation includes, but is not limited to; paying attention during class, note taking, participating in class discussions, asking/answering questions, working class problems  your turn, etc.) Full participation credit is 2 points. Partial participation is half credit, 1 point. No participation or disrupting class is a zero.
• Course grades: A: 100–90 B+: 8987 B: 8680 C+:7977 C: 7670 D+: 6967
D: 6660 F: 590.
• Makeup work: All makeup homework will be completed in accordance with the student handbook. However, previously assigned work is due the day of return. Makeup homework will be presented during the normal homework check upon your return to class. Makeup tests will be completed in class on the day of return to class. Makeup tests and homework not completed within the required time period will be assigned a grade of zero.
Restroom Passes:
Restroom passes are only to be used for their stated purpose and should normally take about 5 minutes. Only one person at a time will be allowed to go to the restroom. A restroom pass will be posted, just go and return the pass. You do not have to ask permission. Restroom passes are a privilege. If a student abuses their restroom privileges, then they lose them.
Electronic Devices:
IAW the student code of conduct and ATC student handbook, forbidden devices (including, but not limited to laptops, tablets, iPods, mp3 players, smart watches and cell phones not turned off and out of sight) will be confiscated. Warnings will not be given.
Classroom Rules:
#1 Be prepared for class.
#2 Do not disrupt the class (talking, horseplay, joking around, etc.).
#3 Remain in assigned seat.
#4 Participate in all class activates (note taking, working problems, etc.).
#4Class starts and ends IAW the bell schedule.
Consequences of breaking the above rules are IAW the ATC student handbook.
Precalculus Course Pacing Guide
Days

Main Ideas

Chapter/Sections

Assessment

7

Functions and their representations in the Cartesian plane.

Chapter 1 – Functions and Their Graphs
11 Lines in planes
12 Functions
13 Graphs of functions
14 Shifting, Reflecting, and Stretching Graphs
15 Combinations of functions
16 Inverse functions
17 Linear models and scatterplots

Homework Assignments
Daily Quiz
Note Taking
Chapter 1 Test

10

Learn to analyze and graph polynomial and rational functions.

Chapter 2 – Polynomial and Rational Functions
21 Quadratic functions
22 Polynomial Functions of Higher degree
23 Real zeros of polynomial functions
24 Complex numbers
25 The fundamental theorem of algebra
26 Rational functions and asymptotes
2.7 Graphs of rational functions
2.8 Quadratic models

Homework Assignments
Daily Quiz
Note Taking
Chapter 2 Test

8

Properties and characteristics of exponential and logarithmic functions.

Chapter 3 – Exponential and Logarithmic Functions
31 Exponential functions and their graphs
32 Logarithmic functions and their graphs
33 Properties of logarithms
34 solving exponential and logarithmic equations
35 Exponential and logarithmic models
36 Nonlinear models

Homework Assignments
Daily Quiz
Note Taking
Chapter 3 Test

12

Learn how to evaluate and graph the trigonometric functions, their inverses, and their reciprocals.

Chapter 4 – Trigonometric Functions
41 Radian and Degree Measure
42 Trigonometric functions: the unit circle
43 Right triangle trigonometry
44 Trigonometric functions of any angle
45 Graphs of sine and cosine functions
46 Graphs of other trigonometric functions
47 Inverse trigonometric functions
48 Applications and models

Homework Assignments
Daily Quiz
Note Taking
Chapter 4 Test

10

Learn strategies for simplifying expressions and solving equations by using trigonometric identities.

Chapter 5 – Analytic Trigonometry
51 Using fundamental identities
52 Verifying trigonometric identities
53 Solving trigonometric equations
54 Sum and difference formulas
55 Multipleangle and producttosum formulas

Homework Assignments
Daily Quiz
Note Taking
Chapter 5 Test

8

Learn how to apply trigonometry to oblique triangles, vectors, and complex numbers.

Chapter 6 – Additional Topics in Trigonometry
61 Law of sines
62 Law of cosines
63 Vectors in the plane
64 Vectors and dot products
65 Trigonometric form of a complex number

Homework Assignments
Daily Quiz
Note Taking
Chapter 6 Test

11

Analyze sequences and series, expand binomials, and determine the probabilities of events.

Chapter 8 – Sequences, Series, and Probability
81 Sequences and series
82 Arithmetic sequences and partial sums
83 Geometric sequences and series
84 Mathematical induction
85 The binomial theorem
86 Counting principles
87 Probability

Homework Assignments
Daily Quiz
Note Taking
Chapter 8 Test

7

Introduction to limits, including techniques for calculating the limit of a graph at a given point.
Find the tangent lines of a function and the area of a region, two basic problems in calculus.

Chapter 11 – Limits and an Introduction to Calculus
111 Introduction to limits
112 Techniques for evaluating limits
113 The tangent line problem
114 Limits at infinity and limits of sequences
115 The area problem

Homework Assignments
Daily Quiz
Note Taking
Chapter 11 Test

8

Describe and analyze points, vectors, lines, and planes in threedimensional space.

Chapter 10 – Analytic Geometry in Three Dimensions
81 The threedimensional coordinate system
82 Vectors in space
83 The cross product of two vectors
84 Lines and planes in space

Homework Assignments
Daily Quiz
Note Taking
Chapter 10 Test

14

Work with conic sections and equations in parametric and polar form.

Chapter 9 – Topic in Analytic Geometry
91 Circles and paraboas
92 Ellipses
93 Hyerbolas
94 Rotation and systems of quadratic equations
95 Parametric equations
96 Polar coordinates
97 Graphs of polar equations
9.8 Polar equations of cones

Homework Assignments
Daily Quiz
Note Taking
Chapter 9 Test

Women have a passion for mathematics. They divide their age in half, double the price of their clothes, and always add at least five years to the age of their best friend.
~Marcel Achard
