
PRECALCULUS
Ms. Grossmann
Phone: (503)6737815 ext 4816
PreCalculus
Email: grossmak@wlwv.k12.or.us
Room: B102
http://www.wlhs.wlwv.k12.or.us/Page/3400
Office Hours: 7:30am8:15am
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 piecewisedefined, polynomial, rational, power, radical, exponential and logarithmic functions
Evaluate and graph piecewisedefined, polynomial, rational, power, radical, exponential and logarithmic functions
Solve equations involving piecewisedefined, polynomial, rational, power, radical, exponential and logarithmic functions
Apply the solving of piecewisedefined, 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 reallife 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 reallife 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.
Grading: Grading Breakdown:
A: 90 and above Tests 45%
B: 80.089.9 Quizzes 20%
C: 70.079.9 Final Exam 20%
D: 60.069.9 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.
Threering 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 pairsharing. 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.