Fibonacci Sequence
A pattern where each number is the sum of the two numbers before it

Number Sequence

What: Special pattern adding previous numbers
Why: Shows natural number patterns
How it helps: Develops sequence understanding

Geometric patterns form the foundation of many mathematical principles and can be observed in various forms:


  • Regular polygons and their properties
  • Tessellations and surface coverings
  • Symmetry in natural and man-made objects
  • Fractal patterns and self-similarity
Geometric Pattern Example

Nature Patterns

What: Finding Fibonacci in natural world
Why: Connects math to nature
How it helps: Makes math relevant

There are several types of symmetry in mathematics:


  • Reflection symmetry (flip)
  • Rotational symmetry (turn)
  • Translational symmetry (slide)
  • Point symmetry
Symmetry Examples

Golden Ratio

What: Special proportion from sequence
Why: Important in art/design
How it helps: Shows math in aesthetics

Tessellations can be created using:


  • Regular polygons
  • Irregular shapes
  • Transformed shapes
  • Combined patterns
Tessellation Examples

Fibonacci Games

What: Interactive sequence activities
Why: Makes learning engaging
How it helps: Reinforces pattern recognition

Famous examples of fractals include:


  • The Mandelbrot Set
  • Koch Snowflake
  • Sierpinski Triangle
  • Dragon Curve
Fractal Examples

Related Resources

Math Resource Library Base-10 Practice Problems Teacher Implementation Guide Video Tutorial Series