Precalculus Syllabus

Precalculus

Syllabus

Textbook:  Glencoe Precalculus, McGraw-Hill Publishers

Textbook website:  connected.mcgraw-hill.com

Course Description: Precalculus is a course designed for students who have successfully completed the Algebra II with Trigonometry course. This course is considered to be a prerequisite for success in calculus and college mathematics. Algebraic, graphical, numerical, and verbal analyses are incorporated during investigation or the Precalculus content standards. Content for this course includes an expanded study of polynomial and rational functions, conic sections, trigonometric function, and logarithmic and exponential functions. 

Materials Needed:

  • An organized math notebook for notes, assignments, and graded work
  • Pencil, colored pencils, highlighters
  • Graphing Calculator (I recommend the TI-84 Plus, TI-84 Plus C Silver, or TI-84 Plus CE)
  • Graph paper

 

Classroom Policies:

  • Be on time and prepared to learn. Your timeliness affects you and your classmates. You are expected to be in class and ready to learn when the bell rings. You should have a sharpened pencil, an organized notebook, and your text book every day.
  • Seek help when needed. If you are having trouble with material, please seek help. Ask your classmates, set up an appointment before or after school with me, attend tutoring sessions in the Library during Panther Period, and/or utilize resources on the internet. Khan academy is a great resource and it’s free (https://www.khanacademy.org/) and don’t forgot to look at You-Tube videos.   
  • Always show your work. The process of working through a problem is just as important as the final result. All work must be shown to receive full credit.
  • Make-up and turn in missed assignments.  You are responsible for all notes and assignments missed when absent. Assignments are posted daily on the calendar in my room. For each day missed,  3 days will be given to make-up and turn in the work.  Any work missed due to an unexcused absence will result in a grade of 0.
  • Late work. Late work is accepted, but only for half-credit, and as long as it is turned in while working on the same unit. Once we've moved on to the next unit, late work will not be accepted. 
  • Cell phone use. Cell phone use is prohibited in class unless its use is relevant to the curriculum and content. Until given permission, you are to keep devices put away out of my sight and yours. Cell phones brought into the classroom must be silenced and placed in the cell phone holder hanging on the classroom wall until the end of period. If you are caught using a cell phone without permission, the following disciplinary actions will be taken. First Offense: The cell phone will be taken up and kept until the end of the period. Second Offense: The cell phone will be taken up and kept until the end of the day. Third Offense: The cell phone will be taken up and turned in to an administrator.  
  • No food or drinks are allowed in the classroom, with the exception of water.
  • We do not have free days.   Our class time is valuable and we have a lot to learn.  So please don’t ask if we are doing something, the answer will always be yes.
  • Respect yourself, others, and classroom property.

 

Grading Procedures:

A student’s grade in the course is determined by four individual nine weeks grades and the final exam                    

Course Average = (1st Nine weeks + 2nd Nine weeks +3rd Nine weeks+ 4th Nine weeks) X .90 + (final exam) X .10

The course average for a student exempt from the final exam will be determined by averaging the four Nine week grades. Students with an 88 average or higher may exempt the final exam. Students with averages less than 88 but at least 75 must meet the Etowah County’s exam exemption policy.

Students who are eligible to exempt but choose to take the exam will not have their grade lowered in the event they do not perform well on the exam


Each Nine week grade will be a combination of the following:

               Warm ups/Class work activities/Pop quizzes (10-25 points, randomly collected
Unit Quizzes (50 points)
                Unit Tests (100 points)
Notebook Tests (100 points per Notebook check)
Unit Projects (50-100 points)


Course Topics to be studied:

Preparing for Precalculus
Sets, Operations with complex numbers, quadratic functions and equations, nth roots and real       exponents, Systems of linear Equations and inequalities, matrix operations, probability with     permutations and combinations

Functions from a Calculus Perspective
Functions, Analyzing graphs of functions and relations, Continuity, end behavior, and limits,               Extrema and average rates of change,  parent functions and transformations, Function operations         and composition of functions, Inverse relations and functions

Power, Polynomial, and Rational Functions
Power and radical functions, polynomial functions, Remainder and factor theorems, Zeros of polynomial functions, Rational functions

Exponential and Logarithmic Functions
Exponential functions, Logarithmic functions, Properties of logarithms, Exponential and                       Logarithmic equations, Modeling with non-linear regression

Trigonometric Functions
Right triangle trigonometry, Degrees and radians, Trigonometric functions on the unit circle,            Graphing sine and cosine functions, graphing other trigonometric functions, Inverse trig functions,   Law of sines and cosines

Trigonometric Identities and Equations
Trig Identities, verifying trig identities, Solving trig equations, Sum and difference identities, Multiple-Angle and product-to-sum identities

Conic Sections and Parametric Equations)
Parabolas, ellipses, circles, hyperbolas, and parametric equations

Vectors
Vectors, dot products and projections

Polar Coordinates and Complex Numbers
Polar Coordinates and graphs

Sequences and Series
Sequences, Series, and Sigma Notation, Arithmetic/Geometric Sequences and Series, Binomial           Theorem

Inferential Statistics
Probability distributions, Normal Distributions, Central Limit Theorem

Limits and Derivatives
Estimating limits graphically and algebraically, tangent lines, derivatives

 

 Click on the link below for the Alabama Course of Study
https://alex.state.al.us/standardAll.php?subject=MA2015&ccode=PRE&summary=3

 

 

 

 


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