• # PRE-CALCULUS

 Ms. Grossmann Phone: (503)673-7815 ext 4816 Pre-Calculus E-mail: grossmak@wlwv.k12.or.us Room: B102 http://www.wlhs.wlwv.k12.or.us/Page/3400 Office Hours: 7:30am-8:15am

Course Description: This course is the analysis of polynomial, rational, power, exponential, logarithmic, trigonometric, and piecewise functions and their general characteristics.   In addition logic, probability, statistics, matrices, transformations, composition, inverses, and the binomial theorem will be covered.  Students will be exposed to some beginning calculus topics.  Applications are emphasized throughout the material and algebraic, graphical, numerical, and verbal methods will be used to analyze and interpret problems.
Major Units:
 Chapter 1       Algebraic Fundamentals Chapter 2       Transformations of Functions Chapter 3       Polynomial and Rational Functions Chapter 4       Exponential and Logarithmic                            Functions Chapter 5       Trigonometric Functions of Real                            Numbers Chapter 6       Trig Functions of Angles Chapter 7       Analytic Trigonometry Chapter 8       Polar Coordinates and Vectors Chapter 9       Systems of Equations and                             Inequalities Chapter 10     Analytic Geometry Chapter 11     Sequences and Series Chapter 12     Limits and Derivatives

Learning Objectives:  Using a graphing calculator to investigate and solve problems, by engaging students in critical thinking tasks.  Students will be required to communicate mathematical ideas verbally, graphically, algebraically, and numerically.  Describe general properties of functions as they relate to calculus, using the concept of limit as it pertains to sequences and functions, analyzing the graphs of polynomial, rational, radical, and transcendental functions, using the Pythagorean Theorem to develop and understand both circular and right triangle trigonometry.

Learning Goals:

Find and interpret average rate of change and communicate how it applies to a relative application

Find and interpret the difference quotient and explore its application in real life

Find and interpret properties of piecewise-defined, polynomial, rational, power, radical, exponential and logarithmic functions

Evaluate and graph piecewise-defined, polynomial, rational, power, radical, exponential and logarithmic functions

Solve equations involving piecewise-defined, polynomial, rational, power, radical, exponential and logarithmic functions

Apply the solving of piecewise-defined, polynomial, rational, power, radical, exponential and logarithmic functions within real life applications and effectively communicate the results in the proper context

Analyze and communicate differences in behaviors of different types of functions both graphically and numerically

Data will be modeled using the appropriate regression ad the model will be used to answer real-life questions and make predictions

Apply transformations to functions

Factor polynomial functions from a graphical perspective and write equations of polynomials given a graph

Find and interpret composition of functions and use the composition function to answer questions pertaining to a real-life  application

Find and interpret inverse functions

Utilize proper notation to define and evaluate sequences and series

Solve applications involving sequences and series

Apply Pascal’s Triangle and the Binomial Theorem

Define and identify trigonometric functions

Convert between radian measure and degrees

Use radian measure to compute the length of an arc

Find trigonometric values for particular angles in a right triangle

Evaluate the sine and cosine functions for particular angles on the unit circle from memory

Define sine and cosine functions based on the unit circle

Graph, transform, and analyze the graphs of sine and cosine functions

Rewrite tangent, secant, cosecant, and cotangent functions in terms of sine and cosine functions

Use the trigonometric identities and inverse trigonometric functions appropriately to solve mathematical problems

Verify trigonometric identities

Use the laws of sine and cosine to solve mathematical problems

Recognize, model, and solve applications using trigonometry

Perform vector arithmetic

Use vectors to model applications and solve mathematical problems

Use parametric equations to describe curves

Convert between Cartesian and polar coordinates

Use polar equations to describe curves

Recognize, and solve mathematical problems with polar equations

Graph and translate graphs of conic sections (parabolas, ellipses, hyperbolas, and circles)

Demonstrate an appropriate use of technology to solve problems

Standards of Mathematical Practice:

The student will:

Make sense of problems and persevere in solving them

Reason abstractly and quantitatively

Construct viable arguments and critique the reasoning of others

Model with mathematics

Use appropriate tools strategically

Attend to precision

Look for and make sense of structure

Look for and express regularity in repeated reasoning.

all math courses are designed to meet the requirements of the WLWV Mathematics Curriculum and the Common Core State Standards.

A:         90 and above                                                Tests                                       45%

B:         80.0-89.9                                                        Quizzes                                   20%

C:        70.0-79.9                                                         Final Exam                               20%

D:        60.0-69.9                                                         Homework                               15%

F:         59.9 and below

Class Preparedness/Supplies:  Students must come to class prepared to learn.

Graphing calculators are required for daily use, no cell phone calculators will be allowed.

Notebook paper, pencil, and a red pen are required to complete assignments.  All assignments must be done in pencil and corrected in red pen for full credit.

Books are required for daily use.

Three-ring binder for organizational use of notes, assignments, quizzes, and tests.

Homework: Homework is assigned on a daily basis and will be corrected the next class period.  In order to be successful, it is critical to practice new ideas and concepts.  Homework is graded on a scale of 1 to 10 and will be graded on completion, effort, and demonstration of techniques rather than correctness.  Homework assignment must be marked with red pen while answers are read in class.  Any problems that are demonstrated during this time must show correct work in order to earn full credit. If an excused absence occurs, students have one day per missed class to turn in assignments.

Policies:   In order to have a successful and safe learning environment the following policies will be enforced:

Act with kindness

o   Be respectful to each other, the teacher and to the things in the room.  This includes putting cell phones away when entering the room and not taking them out until teacher allows.

o   Do not write or doodle on desks.

Work together

o   This course emphasizes collaboration: class discussions, group work, and pair-sharing. There is a lot to be learned from your peers and having the opportunities to articulate, challenge, and defend ideas will strengthen every individuals mathematical understanding.  We are all in this together, so let’s work together.

No cheating

o   Cheating is not tolerated.  If you are caught cheating, you will be given a zero and disciplinary actions will follow.  This applies to the person(s) caught cheating as well as any individual(s) caught contributing.

Electronic Devices

o   Cell phones and other electronic devices will NOT be tolerated during class time.  It is expected that all electronic devices be put AWAY by at the beginning of class and not taken out until teacher approval is given.  Cell phones may NOT be used as calculators.

Website: If you miss class, please check the website calendar to see what you have missed.  You should always check the class webpage before emailing the teacher to see what you missed.

Additional Support: Further academic support is offered through the academic center , appointments are not needed.  If at any point you wish to get a private tutor your guidance counselor can provide you with a district approved list.