Teacher: Mrs. Papneja Course: Pre-Calculus
Tutoring: Friday’s (3:45 PM—4:45 PM) E-mail:
PRE-CALCULUS COURSE DESCRIPTION
Welcome to the 2017-2018 school year! This is going to be a great year of learning and growth. I believe every student will learn and with hard work, will succeed.This discipline combines many of the trigonometric, geometric, and algebraic techniques needed for the study of Calculus. Learning Pre-Calculus involves combining algebraic skills with analytical reasoning. This course takes a functional point of view of these topics. First semester concentrates on algebraic and transcendental functions, and the second semester is trigonometry.
The theme of the course is drawing Conclusions Based on Relationships.
CLASSROOM EXPECTATIONS
1. PROMPT- Arrive on time and enter the room quietly, turn in your homework and immediately go to your seat and begin your “Think Now”2. PREPARED- Bring a positive attitude, all materials, necessary work, and proper uniform to class every day.
3. PRODUCTIVE- Maximize learning time by staying on task, following directions the first time given.
4.PATIENT- Wait respectfully and calmly for your turn to participate, do not complain or whine.
5.RESPECT- Be nice or neutral to everyone. Swearing, giving attitude, teasing, talking back, and/or bullying will not be tolerated. Keep hands, feet, and objects to yourself. Respect yourself, your classmates, your teacher, and your classroom environment. Respect the cleanliness and tidiness of the classroom.
6. HONESTY- The ESAT honor code is strictly enforced in this course. Cheating will not be tolerated. Cheating includes: plagiarizing, having someone complete your work for you, copying any type of work; and verbally asking or sharing answers or information about a formal assessment.
7. RESPONSIBILITY- You will be held responsible for verbalizing to me if you DO NOT understand. If you need extra help, I am available to assist you through email or during tutoring.
CONSEQUENCES
- Warning
- Detention and Reflection
- Parent Contact
- Office Referral
REQUIRED MATERIALS
Bring the following with you every day:- One Composition Notebook
- 3-ring binder dedicated to just Pre-Calculus
- Writing materials (pens, pencils, highlighter, sharpener)
- Scientific/Graphing Calculator
- Flash drive
- Index cards
- Post-its
HOMEWORK AND PREPARATION
Students will be given homework everyday to practice and to increase the understanding of the content. Homework is not assigned as busywork and is often used to help you in preparation for discussions and class assignments the following day. Plan on reading and solving problems each night.Anyone not seated and prepared to start class at the bell will be marked tardy. Anyone not in the room, seated, and engaged in class after five minutes will be marked absent. We need your voice/perspective. Please contribute to discussions.
It will be checked in the beginning of the class in the following class period for the quality of the trials. Occasionally homework will be collected/graded or homework quizzes will be assigned without previous notification Expect to have approximately 2.15 hours of homework every week including pre/post reading and problems solving.
ABSENCES AND MISSING WORK
Absent: It is YOUR responsibility to catch up on any work that you’ve missed when you are absent. DO NOT ask me on what you missed during class. Please visit the school website and talk to a reliable classmate for notes and information on what you missed and email me. If you still need clarifications, please come to tutoring. If you have an excused absence, the work that was due on the day you were out is due the next time you have Pre-Calculus class. The number of days you were absent is the number of days you have to make up your work.Late Work: Not accepted unless you have an excused absence.
RETAKES
(ONLY Two RETAKES)/SemesterTo be eligible for the retake, ALL of the following steps need to be included
-Complete all HW assignments leading up to the assignment in question
-Complete error analysis of assignment to be retaken
*Please note: Second exam is more difficult than the first
Homework/Classwork: You will not be able to redo classwork or homework unless it is listed above.
TECHNOLOGY
We are very fortunate to be able to use technology in our classroom to enhance your education.Technology is a privilege and can be taken away at the teacher’s discretion. While technology is extremely useful, it can also be very distracting. If you are utilizing the technology for non-academic purposes, you will receive a consequence.
Please note: Cell phones ARE NOT allowed in class. If a cell phone is seen, rings or vibrates, the cell phone will be taken away and given to the office.
EMAILS
- Questions/Immediate Attention: I will respond within 24 hours on school days, if you do not receive a response back, assume that I did not receive your email. Please email me at:
BATHROOM
Missing any class time could result you missing in important class collaboration or information. You will be allowed maximum of 3 emergency bathroomsuse each semester.Unit Organization:
Standard PC.1: Properties of Families of Functions
Students develop and apply properties of functions and families of functions and their related equations. Students apply and interpret the results of various operations with functions in mathematical and real-world situations. Student investigates behavior of functions and their related equations, and student compares and contrasts properties of families of functions and their related equations. Student examines and applies basic transformations of functions and investigates the composition of two functions in mathematical and real-world situations
Unit 00 (One week)
Algebra II Review of function/non-function definitions, domain/range, graphical and algebraic general functional analysis.
Unit #1
Mathematical Terminology and Notations: (~ 1.5 weeks)
Set Theory –Interval Notations, Complex Number System, Closure Property, Quantifier Notations
Unit#2
Functions and their Characteristics (~ 4 weeks)
Library of Functions, Piecewise functions, Function Properties: Domain Restrictions, Even/Odd Properties, Increasing/Decreasing Functions, and Local Max. / Min., Intercepts, Difference Quotient,
Rigid and Non-Rigid Transformations.
Unit #3
Analysis of Polynomial and Rational Expressions (~ 4 weeks)
Polynomials (Fundamental Theorem of Algebra, Descartes’ Rule), and Rational Expressions-Asymptotic Behaviors
Unit#4
Analyzing Inverse Functions (~ 2 weeks)
Finding Inverse of Functions algebraically and graphically, Domain of Composite functions. Inverse nature of exponential and Logarithmic functions and their characteristics)
Unit#5 (two weeks)
Logarithmic and Exponential Equations:
Review logarithmic properties, Using Rigid and Non-rigid transformations to graph, Solving exponential and Logarithmic Equations.
Semester II
Standard PC.2: Trigonometric Functions
Students extend trigonometric ratios to functions of angle measure and of real numbers. They develop these functions’ graphs, properties, and inverse functions. Students solve trigonometric equations. They develop more-general trigonometric functions and apply them to solve real- world problems. Student solves problems involving measures in triangles by applying trigonometric functions of the degree or radian measure of a general angle and shifts from primarily viewing trigonometric functions as based on degree measure to viewing them as functions based on radian measure, and ultimately to viewing them as general periodic functions of real numbers. Student investigates the properties of trigonometric functions, their inverse functions, and their graphical representations. Student uses transformations of trigonometric functions, their properties, and their graphs to model and solve trigonometric equations and a variety of problems.
PRE CALCULUS SYLLABUS ACKNOWLEDGEMENTI have read the syllabus for Pre-Calculus and understand the information presented.
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PARENT/GUARDIAN QUESTIONNAIRE
Please consider this as a way for me to start getting to know your student! I want to understand your perspective so can better serve their needs in the classroom.
- What are your child's major interests?
- What are your child's strongest academic subjects?
- What are you child's weakest academic subjects?
- If your child could choose the subjects he studied in school, what do you think they would choose?
- Would your child complete a project/activity/assignment after hearing the directions, reading the directions, or watching someone make a model example?
- Does you student have access to a computer at home?
- Does your student have access to the internet at home?
- Does your child have any physical requirements/needs that I should be aware of? (ex: if your student wears glasses, I will give them priority seating at the front of the room)
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