Faculty Name / Mrs. Rachelle Magnani
Term / 2015 - 2016
Meetings / Periods 1and 2; MTWRF; Room 301
Faculty’s Contact Information
Phone / 724-452-6041Ext. 1243Email Address /
Other Information /
General Course Information
Pre-requisites, Co-requisites, & other restrictions / 75% or better in Algebra 2 and teacher recommendation.Student must meet district requirement of 4 math credits.
Course Description from Program of Studies / This course is for the serious-minded student who wants to better his preparation for the Calculus and other higher mathematics. It consists of an extension of the skills of Algebra 2 with a major emphasis on functions: linear, polynomial, exponential, and trigonometric. Ten to twelve weeks of the course are devoted to a thorough study of trigonometry. Other topics may be covered as time permits. It is strongly recommended that students purchase a graphic calculator for this course. A TI calculator will be used in class.
Standards/Anchors/Objectives / Simplifying and evaluating radical expressions. M11.A.1.1.3
Simplify expressions with negative and/or rational exponents. M11.A.2.2.1
Apply properties of exponents to simplify expressions with powers. M11.A.2.2.2
Apply properties of exponents to simplify expressions with variables written as a ratio. M11.D.2.2.3
Factor algebraic expressions, including difference of squares and trinomials (trinomials limited to the form ax² + bx + c where a is not equal to 0). M11.D.2.2.2
Given a linear function, can put in standard form Ax+By=C and find the x and y-intercepts by solving for x=0 and y=0. M11.D.2.1.2
Given a linear equation or a graph of a line, find the slope and y-intercept. M11.D.3.2.3
Utilize slope to answer a real life question. M11.D.3.2.1
Given a table of values create a graph of a line. M11.D.4.1.1
Given the graph of a line, two points, or slope and point, write the equation of the line in slope-intercept form. M11.D.3.2.2
Given a linear inequality graph the function. M11.D2.1.2
Given a real life scenario, write a linear model and solve the equation. M11.D.2.1.3
Solve compound and/or absolute value inequalities and/or graph their solution sets on a number line. M11.D.2.1.1
Compare slopes of lines to determine if the lines are parallel, perpendicular, or neither. M11.C.3.1.2
Define and evaluate compound, step, and even/odd functions. M11.D.2.1.2
Given a function determine the domain algebraically and the range graphically. M11.D.1.1.3
Given a function solve graphically using a graphing utility. Given a system of functions solve graphically using a graphing utility. M11.D.4.1.1
Given a function graph without a calculator using shifts and reflections. M11.D.2.1.1
Given two or more functions perform basic operations including composition. M11.D.2.2.1
Given a function determine that an inverse exists and find the inverse. M11.D.1.1.3
Given a quadratic function graph by finding the vertex and graph using a graphing utility. M11.D.4.1.1
Solve a quadratic function by selecting the most efficient method. M11.D.2.1.5
Factor algebraic expressions, including difference of squares and trinomials (trinomials limited to the form ax² + bx + c where a is not equal to 0). M11.D.2.2.2
Solve polynomial equations using factoring and the zero product property to identify the zeros of the function. M11.D.2.1.5
Solve polynomial equations using the rational zero test and the leading coefficient test. M11.D.2.1.5
Factor algebraic expressions, including greatest common factors, grouping, difference of squares, and trinomials as a method of simplifying before performing operations. M11.D.2.2.2
Solve rational equations using least common multiple to eliminate the denominators. M11.D.2.1.5
Sketch rational functions to include horizontal and vertical asymptotes and intercepts. M11.D.2.1.2
Determine if an exponential model is a growth or a decay function. M11.D.2.1.2
Graph exponential growth and exponential decay models. M11.D.2.1.2
Solve applications of exponential growth and decay models. 2.8.N
Evaluate and simplify logarithmic functions using definition of a logarithm. 2.8.S
Simplify logarithmic expressions using the properties of expanding and condensing. 2.8.S
Solve exponential and logarithmic equations using the inverse properties. 2.8.S
Solve and/or apply a logarithmic equation (including problem situations). M11.D.2.1.3
Define and find rotational angle measure in degrees and radians. 2.8.A
Solve for the missing angle or missing side in a right triangle using the six trigonometric ratios and/or trigonometric identities. 2.8.B
Evaluate trigonometric functions using coterminal angles and reference angles. 2.8.A
Graph sine and cosine functions using shifts, reflections, and period change. 2.8.A Graph the tangent function using shifts, reflections, and period change. 2.8.A
Simplify trigonometric expressions using the reciprocal, quotient, Pythagorean, even/odd, and co function identities. 2.8.B
Verify trigonometric statements using the reciprocal, quotient, Pythagorean, even/odd, and co-function identities. 2.8.B
Solve trigonometric equations involving collecting like terms, extracting square roots, factoring, changing to a single function, and squaring and converting. 2.8.B
Prove the law of sines and law of cosines. 2.8.B
Given an oblique triangle find the area using the law of sines. 2.8.B
Given applications involving navigation solve using the law of cosines. 2.8.B
Required Texts & Materials / Precalculus: A Graphing Approach – Holt
Suggested Texts, Readings, & Materials / TI 83 or TI 84 Graphics Calculator
Assignments & Academic Calendar
WEEK(S) / TOPIC1 Week / Review of Basic Algebra Skills
9 Weeks / Linear Functions and Graphing
6 Weeks / Polynomial and Rational Functions
3 Weeks / Exponential and Logarithmic Functions
6 Weeks / Trigonometric Functions
3 Weeks / Analytic Trigonometry
2 Weeks / Law of Sines and Cosines (Time Permitting)
Quarter Exams / A quarter exam will be given at the end of each marking period
Course Procedures
Grading (credit) Criteria / Please note that the quarterly tests will account for 15% of your 9 weeks grade. The first and second quarterly test will be averaged together to make your midterm grade. The third and fourth quarterly test will be averaged together to make your final exam grade. All other assignments will account for 85% of your 9 weeks grade.1. Problem of the Day
The problem of the day will be the starting activity of most classes. The problem might be a simple warm up problem, an application problem from the previous lesson, or an oldhomework problem. You should be able to solve all problems, and you can use your book, notebook, and a calculator to help you. You can earn 1 point per day for solving the problem. You will only have about 5-10 minutes to copy and solve the problem of the day. If you do not finish the problem of the day within the allotted time, you must finish on your own time. If you need help with problems, you must see me outside of class. They must be turned in, entirely completed, on the last day of the month. Follow these guidelines to earn full credit:
Each month, start a new problem of the day sheet.
Write the date above each problem, copy the entire problem and solve it, showing all work.
Use time wisely. That means no talking or acting in any way that might prevent you or other people from concentrating on the problem.
In order to earn full credit when you are absent, you are responsible for writing the date that you were absent and the word “ABSENT” on your problem sheet.
If you were absent for more than five of the month’s problems, I will drop that assignment from your grade.
The problem of the day sheets will be collected on the last day of the school month. You must turn in your problems at the beginning of class when they are called for, otherwise they will be considered late.
If you do not turn in your problems when they are called for, you must turn it in by the end of the next school day for half credit; otherwise, you will earn a ZERO for the entire month’s assignment.
2. Homework
Expect homework almost every day. You are expected to do all homework assignments, since this is where most of the learning takes place. Homework will be checked randomly (a few days per week) for completeness. “Completed” means that you have copied the original problem, shown steps to your work, and checked answers when appropriate. Homework assignments will be worth 3 points, and you can earn partial credit. Homework will be accepted up to one day late for half credit.
3. Quizzes and In-Class Assignments
These may be announced or unannounced. Sometimes they may be non-calculator quizzes.
4. Unit Tests
Tests will be given after we complete each unit in the book. You will know well in advance of any upcoming tests. Each test will be worth 100 points.
5. Quarterly Tests
These tests will be given at the end of each 9 weeks. They will cover all topics of the nine weeks. They are worth 15% of your 9 weeks grade. The first and second quarterly test scores will be averaged together to make your midterm test grade. The third and fourth quarterly test scores will be averaged together to make your final exam grade.
Course Expectations / 1. Attendance / Make Up Work
Almost everyone will miss school sometime throughout the year. Since each lesson builds on the previous lesson, you must be responsible for getting the work and making it up. . Follow this make up policy in order to earn credit for the assignments if you are absent.
If you are in school, but you are not in class due to a school-related activity, guidance or nurse visit, etc., that assignment is still due that day. You must turn it into me to earn credit.
If you were in class to get the assignment, but you were absent when the assignment was collected, that assignment is due on your first day back. Make sure you turn it into me. It is your responsibility.
In general, you have the number of days absent to turn in all work.
If you were absent on the day of a test or quiz, you must make that up as soon as you return to class.
If you are absent on the review day for a written test, you must take the test with the class.
2. Calculator Policy
You can use a calculator in class, most of the time.
Please purchase your own graphing calculator. The TI 83 or TI 84 will work best. If purchasing a calculator is a problem, please see the teacher.
If you use your own calculator on the test, the teacher reserves the right to look through your stored programs, lists, memory, etc.
The teacher reserves the right to prohibit calculator types used in this class. Some models may not be used.
You are responsible for learning how to use the TI graphing calculator, so practice in class every day. Knowing how to use the functions of your calculator is a great tool for improving Keystone and SAT scores.
There are several free, online graphing calculators that may be helpful with homework. One website is
3. Cheating
No cheating will be tolerated.
If it looks like you are cheating, you are.
If you cheat, then you will earn a zero on the assignment (even if it is a test).
4. Attendance / Tardiness
We will follow the Seneca Valley Attendance Policy
You may be late 3 unexcused times with out a penalty. That means on your 4th tardy, you will earn detention for that tardy.
If you are tardy because a teacher made you stay in their class, just bring a pass from that teacher and it will be considered an excused tardy.
5. Cell Phones and Devices
We will utilize BYOT, at the teacher’s discretion.
If you are caught using your device for personal reasons, such as talking, texting, or browsing, you must put your device in the cell phone box until the dismissal bell.
If you do not cooperate with putting it into the cell phone box, you will be referred to the Dean of Students.
6. Rules
In addition to any rules outlined in your student handbook or set by our principals, we have the following class rules.
- Come to class with all materials, everyday.
- Show respect at all times.
- Follow directions the first time.
- No swearing or inappropriate language.
Late Work
Make-up Exams
Incomplete Grades / When students are legally absent from classes, it is his/her responsibility to arrange with his/her teachers to make up work missed in each class. The amount of time given to make up this work depends on the amount of time that the student was absent and the circumstances surrounding the absence. For instance, if the student is legally absent for two school days, the student shall receive two school days to make up the work, if necessary. If this work is not completed within the given time period, a student may receive an “incomplete” grade. At the end of the grading period, or at the interim report, the “incomplete” grade is changed to a failing grade for work that has not been completed. Students will not receive credit for any class work that takes place during unexcused class absences. Students are required to make up any missed assignments. If a student is missing due to a pre approved vacation/field trip they must follow district policy.
Special Assignments / N/A
Class Attendance / As per Seneca Valley School District Policy #204, a student shall not be granted credit for any semester course if absences from that course total more than ten(10) periods per semester or for any full year courses that total more than twenty (20) periods for the year. Class period absences may include but not be limited to illness, truancy, vacations, parent sponsored educational experiences, college visitations, service related tests or physicals, and doctor appointments. In addition, student(s) will not receive credit towards graduation for any class(es)from which the student(s) is illegally absent (confirmed truancy or class cut) more than three times during a semester class or more than 6 times during a full year course. The lack of sufficient credits in any particular school year could result in a student being denied promotion to the next grade level/building and/or graduation. If a student loses credit, he/she will remain in the class and the grade earned will impact the students GPA.
Field Trip Policies
Off-Campus Instruction & Course Activities / The Seneca Valley School District recognizes the value and encourages the opportunities for students to participate in pre-planned trips and educational experiences during the regular school year. Pre-approval forms are available from the building principal, to be completed by the school-approved adult supervisor of the trip. If a proposed trip has been approved by the principal, written permission from a parent or guardian must be obtained. This permission must indicate understanding of the date, time, cost (if applicable), method of travel, and purpose of this trip. Pupil participants are subject to the supervision of the school-approved adults, who may require a dress code for the occasion. At all times the school code of conduct will be enforced. Each month throughout the school year a list of those students who have been absent or tardy 15% of the days is generated. The principal or designee will determine individual student participation on the basis of prior attendance records, previous requests, frequency of such requests, academic progress to date, and the educational value of the requested experience.
Technical Support / If you experience any problems with your account you may send an email to: or call the SHS Technology Facilitator at 724-452-6041 X1088
Student Conduct, Discipline, and Behavior Management / First Offense: Student Warning
Second Offense: Parent Phone Call
Third Offense: Discipline Referral
Academic Dishonesty / Plagiarism is defined as taking or imitating the ideas, thoughts or language of another to represent them as one’s original work. It is imperative that all work submitted by a student be representative of his/her own ideas, thoughts and especially language capability. Therefore, plagiarism is strictly prohibited in all work pertaining to school. A grade of “F” or zero will be awarded for any submitted work which is found to be the work of another (student, author, encyclopedia, internet, etc.) and subsequent offenses will be dealt with accordingly.
If the ideas, thoughts or language from another source must be used in the work being done, it is the student’s responsibility to footnote or annotate the information appropriately. Plagiarism software will be used in various classes.
Technology Usage / Students whose teachers use the lab in their curriculum use courseware specifically designed for that curriculum during scheduled class times. Students are also permitted to use the labs for class or research during study halls as space is available. In addition, there are computers in the library for research purposes plus a workstation in every classroom for teacher and/or student use. The labs are monitored at all times. All enrolled students have an account on the networked system for file storage and software access. All student accounts are password protected. These passwords are to be kept confidential to protect unauthorized use. The labs are a privilege provided for the students to enhance the academic curriculum. Games that are not specifically used in the curriculum are not allowed on the system. Individual files are not considered to be personal property. These files may be accessed at any time by teachers, administrators or the system manager. Students are not permitted access to other students’ files. Tampering with files, copying of copyrighted software, downloading or installing games, password tampering, accessing unauthorized directories or removing equipment or software will be considered theft. Tampering with any hardware or equipment or violating policies and/or guidelines governing the use of networks, Internet or software programs are also considered offenses and will be dealt with Per Seneca Valley policy #218. Violators may also be prosecuted under applicable local, state or federal civil or criminal law. Students must show ID card to gain access to the computer lab.
Pre-Calculus with Trigonometry