Contemporary Mathematics

# Key Concepts

## 13.1Math and Art

• 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.

## 13.2Math and the Environment

• 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.

## 13.3Math and Medicine

• Compute volumes of prescription drugs in liquid and pill form.
• Validate the effectiveness of a new drug.
• Mathematical modeling can be used to describe and track the spread of a virus.

## 13.4Math and Music

• 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.

## 13.5Math and Sports

• Describe how a round-robin tournament is organized.
• Compute the number of games played in a round-robin tournament.
• Describe how a single-elimination tournament is organized.
• Compute the number of games played in a single-elimination tournament.