Precalculus Honors Timeline

1 Nine Weeks Period.

Week 1 (August 24-28): 
  1.  Linear Functions and Slope
    1. Calculate a Line’s Slope
    2. Write and Graph Linear Equations
    3. Model Data with Linear Functions and Make Predictions
  2. Transformations of Functions
    1. Vertical and Horizontal Shifts
    2. Reflections
    3. Stretching and Shrinking
  3. Inverse Functions
    1. Finding the Inverse of a Function
    2. Horizontal Line Test
  4. Composite Functions
    1. Form Composite Functions
    2. Write functions as Compositions
  5. Basic Modeling with Functions
    1. Domain/Range
    2. Determine Whether a Relation is a Function/Vertical Line Test
    3. Increasing, Decreasing and Constant Functions
    4. Relative Maxima and Minima
    5. Even and Odd Functions and Symmetry
    6. Functions and Difference Quotients 
Week 2 (August 31 - September 4): 
  1. Complex Numbers
    1. Imaginary Unit
    2. Complex Numbers
    3. Standard Form
    4. Real and Imaginary Part
    5. Complex Conjugates
    6. Complex Imaginary Solutions
Week 3 (September 7-11):
  1. Polynomial Identities
    1. Prove a Polynomial Identity using one side of the equation
    2. Use Polynomial Identities to describe numerical relationships
    3. Binomial Theorem 
  2. Dividing Polynomials
    1. Long /Synthetic Division
    2. The Factor/Remainder  Theorems
  3. Zeros of a Polynomial Function
    1. Rational Zero Theorem
    2. Multiplicities of Zeros
    3. Properties of Roots
    4. Fundamental Theorem  of Algebra
    5. Linear Factorization  Theorem
    6. Descartes’ Rule of  Signs
Week 4 (September 14 - 18):
  1. Rational Functions and Their Graphs
    1.  Domain and Range of  Rational Functions
    2.  Finding Domain and  Range Algebraically and Graphically
    3. Asymptotes
    4. Arrow Notation
    5. Vertical Asymptotes
    6. Horizontal Asymptotes
    7. Oblique/Slant  Asymptotes
Week 5 (September 21- September 25):
  1. Polynomial and Rational Inequalities
    1. Boundary Points
    2. Test Values/Points
    3.  Interval
  2. Inequalities and Modeling