Osage High School Math Department: Functions, Statistics, and Trigonometry

Chapter 1 Outline:

• Mean
• Median
• Mode
• Range
• Standard Deviation / Variance
• Summation Notation
• Sample / Population / Variable
• Compare and Contrast data Sets
• 5-Number Summary
• Read and Interperet Graphs / Box Plots
• Percentiles
• Interquartile Range (IQR)

 Chapter 2 Outline:

•  Function - Definition
• Linear / Quadratic / Exponential Functions
  • Independent / Dependent Variables
  • Domain and Range
  • Properties
  • Modeling - find and interperet
  • Center of Gravity
• Step Functions

  Chapter 3 Outline: Transformations

• parent functions
• Translations (shift )
  • of functions
  • of data
• Scale Changes (stretch)
  • of functions
  • of data
• Composite functions f(g(x)
• Properties
• Inverse Functions
• Calculate z-score

 Chapter 4 Outline: Circular Functions

• Sine / Cosine / Tangent
• radians - degrees - revolutions
• arc length and sector area
• Basic Identities
  • Pythagorean
  • Opposites
  • Supplements
  • Complements
• Unit Circle
• Graph Standardization Theorem - for Transformations

 Chapter 5 Outline:

•  SOHCAHTOA - with Applications
• Law of Cosines
• Law of Sines
• Inverse Trig. Functions
  • Domain / Range
• Solving Trigonometric Equations

 Chapter 6 Outline:

• Exponents
  • Properties
  • Identities
• Logarithms
  • Properties
  • Identities
• Solving Exponential Equations
• Solving Logarithmic Equations
• Modeling

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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