Credits: 0.5
Term: On Demand, Spring 2018

Algebra I, Geometry, Algebra II, Pre-Calculus segment 1

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 2
  • Use the Law of Sines and Law of Cosines to solve a triangle, including the ambiguous case
  • Applications of the Law of Sines and Cosines, including navigation
  • Find the area of the triangle including Heron’s formula
  • Vectors in the Plane: vector arithmetic, dot product, angle between two vectors
  • Vectors in Space: vector arithmetic, dot product, cross product, and angle between two vectors
  • Arithmetic of complex numbers using Vectors and DeMoivre’s Theorem
  • Terms of a sequence, sigma notation
  • Arithmetic sequences and series
  • Geometric sequences and series
  • Proof by Mathematical Induction, including divisibility proofs
  • Analyze and graph equations that produce parabolas, ellipses, and hyperbolas
  • Parametric equations and graphs and conversion to rectangular form
  • Parametric motion
  • Domain and range of parametric equations
  • Plotting points in the polar system
  • Convert rectangular coordinates to polar coordinates
  • Convert polar coordinates to rectangular coordinates
  • Convert rectangular equations to polar equations
  • Convert polar equations to rectangular equations
  • Graphing polar equations
  • Evaluating limits numerically
  • Evaluating limits graphically
  • Evaluating limits analytically
  • Evaluating one-sided limits
  • Continuity at a point, Types of discontinuities

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.