Dearborn High School
Trig/PreCalculus-S1
Classroom Rules & Syllabus
TEACHER: Bashayer Farage
CONTACT INFORMATION:
phone #: (313) 827-1600
email: farageb@dearbornschools.org
iblog: https://iblog.dearbornschools.org/farageb/
COURSE DESCRIPTION:
This course prepares students for success in calculus. It focuses on the development of the student’s ability to understand, interpret, apply, analyze and solve problems requiring higher level of algebraic thinking skills. It develops familiarity with some mathematical and physical applications of algebra and analytic geometry. It also incorporates graphing calculators whenever appropriate to illustrate concepts and solve problems.
MAJOR CORE COURSE OBJECTIVES:
Upon successful completion of this course students should be able to:
Graph lines and find the equation of a line in slope-intercept, point-slope, and standard forms; use parallel or perpendicular characteristics to find an equation of a line; and apply transformations to linear graphs.
Graph & differentiate between the properties of the 12 basic functions: identity, square, cube, reciprocal, square root, exponential, natural logarithmic, sine, cosine, absolute, greatest integer and logistic functions.
Identify and describe discontinuities of a function (e.g., greatest integer, and reciprocal functions) and how these relate to the graph.
Perform algebraic operations (including composition) on functions and apply transformations (translations, reflections, and rescalings).
Determine whether a function (given symbolically or graphically) has an inverse and express the inverse (symbolically, if the function is given symbolically, or graphically, if given graphically) if it exists. Know and interpret the function notation for inverses.
Determine whether two given functions are inverses of each other, using composition.
Write an expression for the composition of one given function with another and find the domain, range, and graph of the composite function. Recognize components when a function is composed of two or more elementary functions.
Express quadratic functions in vertex, factored, and standard forms. Convert standard form to vertex form by completing the square method, and solve quadratic equations using the quadratic formula.
Given a polynomial function whose roots are known or can be calculated, find the intervals on which the function’s values are positive and those where they are negative.
Solve polynomial equations and inequalities of degree greater than or equal to three. Graph polynomial functions given in factored form using zeros and their multiplicities, testing the sign-on intervals and analyzing the function’s large-scale behavior.
Know and apply fundamental facts about polynomials: the Remainder Theorem, the Factor Theorem, and the Fundamental Theorem of Algebra.
Solve equations and inequalities involving rational functions. Graph rational functions given in factored form using zeros, identifying asymptotes, analyzing their behavior for large x values, and testing intervals.
Given vertical and horizontal asymptotes, find an expression for a rational function with these features.
TEXTBOOK AND MATERIALS:
Precalculus, Graphical, Numerical, Algebraic, – by F. Demana, B. Waits, G. Foley & D. Kennedy.
A graph-notebook and a folder are required for each student.
SCOPE & SEQUENCE:
Chapter P Prerequisites
Chapter 1 Functions & Graphs
Chapter 2 Polynomial, Power & Rational Functions
INSTRUCTIONAL & BEHAVIORAL POLICIES:
A Typical Day in the Classroom:
The class will begin with a few problems to reinforce state standards. Then we will review homework completed the day before. The class will learn the new material for the day. The end of class will be a review of what was learned.
Student Participation:
You will be expected to take part in the class by doing your work, paying attention, asking and answering questions. You can expect to have assignments every class period. Use your time wisely in class so that if you do have time to get started in class, you can acquire help.
Assessment and Grading Plan:
Homework/Classwork:
Students will compile a portfolio containing class notes, classroom activities and completed homework for each of the units. The purpose of the portfolio is to help the student prepare for the unit test.
Quizzes:
Quizzes will cover activities, explorations and lecture material from the unit being covered. Quizzes will be counted as formative.
Tests:
Typically occur after each chapter, but all will include cumulative questions. This means that just because we are studying chapter 3, you cannot forget the materials in the previously discussed chapters. Formats will vary, including multiple choice, and/or short answer. Test grades will be counted as summative.
Final Exam:
The final exam is accumulative for the semester. It is about 20% of the summative grade.
Grading Scale:
The 80/20 rule is in effect. Grades are calculated on cumulative percentage and are rounded up whenever possible as:
93 – 100% A
90-92% A-
88-89% B+
83-87% B
80-82% B-
78-79% C+
73-77% C
70-72% C-
68-69% D+
63-67% D
60-62% D-
Below 60% E
Attendance:
Attendance is critical for success and will be taken on a daily basis. Therefore a parent or a guardian is required to call the school to verify their kid’s absence within 24 hours or the absence is unexcused.
4 Tardies = 1 absence (less than 5 min.)
2 Lates = 1 absence (5-15 min.)
1 absence (over 15 min.)
When a student has 10 or more absences, excused or unexcused in one semester, he/she will receive a reduced credit. Documentation for extenuating circumstances, such as hospitalization, surgery, or death in the family must be submitted as soon as the student returns to school from each and every absence, but no later than 10 school days following the absence. ISS and OSS will not be considered an absence.
Teacher will meet with the student at 5 absences and provide him/her with a memo indicating that he/she has reached 5 absences. The student and the teacher will sign the form acknowledging the conference. Parents will be notified in writing by the office. A letter will be mailed to the parent or guardian when the student reaches 10 absences.
A student who receives reduced credit (for 10 or more absences) will receive their full credit if he/she earns 78% or higher on the end of term common/comprehensive assessment or test out exam.