Key Concepts - Contemporary Mathematics

The golden ratio, ϕ, can be found in nature, and the relationship is often associated with beauty and balance.
The Fibonacci sequence reflects a pattern of numbers that can be found in various places in nature. The sequence can be used to predict other values that follow the Fibonacci pattern.
State some naturally occurring applications of the Fibonacci sequence.
State some naturally occurring applications of the golden ratio.
Determine if a rectangle is golden.
State some artistic applications of the golden rectangle.

Recognize how water conservation by one person, family, community, or nation can positively impact the world’s freshwater supply.
Recall components from the history of solar use by mankind.
Calculate electrical demand given watts.
Recognize advantages of residential solar power.

As frequency of a sound increases, the pitch of the sound increases.
Hertz is a unit of measurement for frequency.
Decibel is a unit of measurement for the intensity of sound.
Half-steps and whole-steps describe one type of movement between two notes on a keyboard.
Octaves are a collection of any 12 consecutive notes, which is a foundation in music theory.