Spiraling
Mathematical Modeling
Explore different spirals, take a look at the exploration "How long is a piece of string?"
Introduction
Vary the spiral and explore the effects. This exploration invites you to investigate the mathematical patterns and principles at work. You can collect data, create models, and validate your conclusions using a variety of mathematical techniques.
Guiding Questions
- What mathematical models apply to this situation?
- What data do you need to collect and how will you analyze it?
- What assumptions are you making in your mathematical model?
- How can you validate your mathematical conclusions?
- What are the limitations of your approach?
Key Mathematical Concepts
Geometric Patterns
Nature
Polar Coordinates
Spirals