Osage High School Math Department: Pre-Calculus

Chapter 1 Outline:

• Statement:
  • Negation
    Universal / Existential
    If-Then / And / Or
    Inverse / converse / contrapositive
• DeMorgan's Laws
• Valid Arguments and Forms (3)
• Invalid Arguments and Common Forms (3)
• Truth Tables
• Logic networks

 Chapter 2 Outline:

 Chapter 3 Outline: Functions, Equations, and Inequalities

• Solving Equations
• reversibility
• Applications
• Functions
• Operations - Add, Subtract, Multiply, Divide, Composite
• Transformations
• Find Zeros
  • using factoring
  • using chunking
• Intermediate Value Theorem
• Inverse Functions
  • Find
  • Properties
• Solve Inequalities

  Chapter 4 Outline: Integers and Polynomials

• Factor
• Integers
• Polynomials
• Properties of
• Q-R Theorem
• Remainder Theorem
• Factor Theorem
• Polynomial Division
• Modular Arithmetic
• Fundamental Theorem of Arithmetic
• Proof by Contradiction
• Base 2 counting

  Chapter 5 Outline:

  Chapter 6 Outline:

Links:

2003 West Point Bridge Design Contest

Math Activities Site

The Wright Challenge - an Iowa mathematics contest sponsored by the University of Northern Iowa Mathematics Department. High school students can earn prizes at the end of the semester by answering these weekly challenges. Try it! Work alone or as a team. The Pre-Calculus students are currently participating in this project.

 National Council of Teachers of Mathematic (NCTM) - This site includes valuable resources for teachers, students, and parents.

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