Credits: 0.5
Term: Fall 2017, On Demand

Algebra I, Geometry, Algebra II

Course Description:

Students, as mathematic analysts, investigate how advanced mathematics concepts are used to solve problems encountered in operating national parks. As students venture from algebra to trigonometry, they analyze and articulate the real-world application of these concepts. The purpose of this course is to study functions and develop skills necessary for the study of calculus. This course includes algebra, analytical geometry, and trigonometry.

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Topics & Concepts:
Segment I
  • Functions
  • Domain and range
  • Rigid and non-rigid transformations
  • Composition and arithmetic of functions
  • Function inverses
  • Solve and graph quadratic functions
  • Characteristics of a polynomial function
  • Rational Root Theorem, long and synthetic division, Fundamental Theorem of Algebra, and Descartes’ Rule
  • Using the Intermediate Value Theorem and the Extreme Value Theorem
  • Complex numbers as solutions to polynomial equations
  • Domain and asymptotes of a rational function
  • Analyze and graph a rational function with and without a calculator
  • Analyze and graph the exponential function
  • Analyze and graph the logarithmic function
  • Properties of logarithms
  • Exponential and logarithmic equations
  • Angles in radians and degrees
  • Define the trigonometric functions using the coordinates of a unit circle and using a right triangle
  • Evaluate the trigonometric function values of any angle measure
  • Analyze and graph sine, cosine, and tangent functions with and without a calculator
  • Inverse trigonometric values
  • Applications of right-triangle trigonometry
  • Evaluate trigonometric values using identities
  • Prove that a given equation is an identity
  • Solve equations that contain trigonometric functions
  • Applications involving solving trigonometric equations
  • Use argument identities

Offerings and courses subject to change. Please refer to the VTVLC Student Information System as the most up-to-date resource of current offerings and required materials for courses.