PowerMills

The amount of power (P) produced by a windmill at a given instant of time depends on the wind speed (w) according to this equation:

P = kw³, where k is a positive constant

Subject: Algebra
Topics:
- Expressions and Equations
- Patterns and Functions
Grades: 8 - 12
Concepts:
- Function
Knowledge and Skills:
- Can solve an equation involving powers by taking roots

Download Teacher Guide: PowerMills (PDF)
Download Student Activity: PowerMills (PDF)

Algebra in the Real World Movie:

The Wind BusinessThe Wind Business

It can take years to plan and engineer these state-of-the-art wind farms. It’s a problem-solving process that draws on an understanding of algebra, geometry, kinetic energy, electronics and just about everything in between in order to turn one of our most abundant natural resources into a viable business.
Running time 5:55 minutes.

Watch the Movie