Math Playground
Activities

Graphs of Functions in Nature

Sunflowers, shells, shadows — find the curves around you.

Look around. Sunflowers spiral logarithmically. River cross-sections are parabolas. Hanging chains form catenaries. Functions aren't abstract — they're how the world looks.

Spot these in the wild

  • Parabola — water from a hose, a thrown ball's path
  • Sine wave — ripples on water, vibrating string
  • Exponential — bacterial growth, compound interest
  • Logarithmic spiral — nautilus shell, hurricane
  • Catenary — hanging chain, suspension bridge cable