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13.1
Math and Art
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The golden ratio,
ϕ
, can be found in nature, and the relationship is often associated with beauty and balance.
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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.
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State some naturally occurring applications of the Fibonacci sequence.
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State some naturally occurring applications of the golden ratio.
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Determine if a rectangle is golden.
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State some artistic applications of the golden rectangle.
13.2
Math and the Environment
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Recognize how water conservation by one person, family, community, or nation can positively impact the world’s freshwater supply.
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Recall components from the history of solar use by mankind.
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Calculate electrical demand given watts.
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Recognize advantages of residential solar power.
13.3
Math and Medicine
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Compute volumes of prescription drugs in liquid and pill form.
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Validate the effectiveness of a new drug.
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Mathematical modeling can be used to describe and track the spread of a virus.
13.4
Math and Music
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As frequency of a sound increases, the pitch of the sound increases.
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Hertz is a unit of measurement for frequency.
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Decibel is a unit of measurement for the intensity of sound.
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Half-steps and whole-steps describe one type of movement between two notes on a keyboard.
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Octaves are a collection of any 12 consecutive notes, which is a foundation in music theory.
13.5
Math and Sports
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Describe how a round-robin tournament is organized.
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Compute the number of games played in a round-robin tournament.
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Describe how a single-elimination tournament is organized.
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Compute the number of games played in a single-elimination tournament.