• Pre-Calculus   
    Hypotamoose
     
     

    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 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