
PreCalculus
WLHS 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.
ACC Course Description: A transfer course designed for students preparing for trigonometry, statistics, or calculus. The focus is on the analysis of piecewise, polynomial, rational, exponential, logarithmic, power functions and their properties. These functions will be explored symbolically, numerically and graphically in real life applications and mathematical results will be analyzed and interpreted in the given context. The course will also include transformations, symmetry, composition, inverse functions, regression, the binomial theorem and an introduction to sequences and series
Major Units:
 Chapter 1 Algebraic Fundamentals
 Chapter 2 Transformationals of Functions
 Chapter 3 Polynomial and Rational Functions
 Chapter 4 Exponential and Logarithmic Functions
 Chapter 5 Trigonometric Functions of Real Numbers
 Chatper 6 Trigonometric Functions of Angles
 Chatper 7 Analytic Trigonometry
 Chapter 8 Polar Coordinates and Vectors
 Chapter 9 Systems of Equations and Inequalities
 Chatper 10 Analytic Geometry
 Chapter 11 Sequences and Series
 Chatper12 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