Fibonacci Numbers, Golden Ratio, and Golden Property

• Examples from Dr. Kracht (pdf files)
  • Fibonacci Numbers: Notation
  • Fibonacci Numbers: Using Binet's Formula
  • Fibonacci Numbers Exercise Hint
  • The Golden Ratio and Its Reciprocal (derivation using the quadratic formula)
  • The Golden Property Derivation
  • The Golden Property II
• Other links
  • Wolfram MathWorld: Summary of Golden Ratio facts and properties
  • Dr. Ron Knott: Fibonacci Numbers and The Golden Section
  • Mark Freitag: Phi: That Golden Number
  • Recommended book: The Golden Ratio: The Story of Phi, the World's Most Astonishing Number, by Mario Livio

Quadratic Formula

• Examples from Ms. Kracht (pdf files)
  • Quadratic Formula Example
• Other links.
  • Quadratic Formula Example.
    
  
  
  • Quadratic Formula Song. Caution: Some violent content.
    
  
  

Similar Geometric Figures

• Lesson on Perimeter and Area of Similar Geometric Figures


• Definition of similar figures and scale factor.