Conic Sections
applied
What other shapes are possible? - Explore the mathematical principles and create your own unique investigation.
Introduction
When the light from a table lamp hits a surface, what shape does it make? If you change the radius or the depth of the lamp shade how does it affect the shape? Extension: What is the area of light as it is cast on the table?
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
Geometry
Architecture
Conic Sections
Parabolas