Pre-Calculus with Trigonometry
The following learning targets represent the major concepts studied and assessed in this course.
Unit 1
Functions
- Describe functions using proper notation
- State the domain and range of a function using interval notation
- Evaluate, graph, write and apply equations of piecewise functions
- Finding and verifying inverses
Unit 2
Rational Functions
- Introduction to rational functions
- Determine discontinuities from rational equations (vertical asymptotes and holes)
- Horizontal and slant asymptotes
- Graphing rational functions using holes, vertical and horizontal asymptotes, and intercepts
- Decomposition by partial fractions
Unit 3
Exponential and Logarithmic Functions
- Graphing exponential functions
- Introduction to logarithms
- Solving exponential and logarithmic functions
- Properties of logarithms
Unit 4
Matrices and Conic Sections
- Conic sections - circles
- Identify conic sections from general and standard form
- Introduction to ellipses
- Introduction to matrices
Unit 5
Solving Problems with Triangles
- Right triangle trigonometry
- Law of sines and ambiguous case
- Law of cosines
Unit 6
Trigonometry as a Real Valued Function
- Angle vocabulary
- Coterminal angles, reference angles, and radians
- Arc length, sectors, angle rotations, and revolution
- The unit circle
- Evaluating trigonometric functions with the unit circle
- Inverse trigonometric functions and the unit circle
Unit 7
Graphing Trigonometric Functions
- Introduction to graphing
- Sketching graphs of sine and cosine - amplitude, period, vertical shift and phase shift
- Application of sine and cosine graphs
- Graphing secant, cosecant, tangent, and cotangent
Unit 8
Trigonometric Identities
- Introduction to trig identities
- Verify trigonometric identities
- Sum and difference identity