Strip away the numbers, the 'x's, and the symbols, and what is the true nature of algebra? It is the universal science of patterns.
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Algebra gives us a formal language to describe, analyze, and make predictions about any pattern we can find.
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The simple, repeating pattern of a constant rate of change is described by the beautiful language of a linear equation, y = mx + b.
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The explosive pattern of population growth or compound interest is described by the language of exponential functions.
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The elegant, symmetric pattern of a thrown ball's trajectory is described by the language of a quadratic function.
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The repeating, cyclical patterns of a sound wave or a pendulum's swing are described by the language of trigonometry.
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A mathematician is a professional 'pattern-finder' and 'pattern-describer.' They look for structure and order in the universe.
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Once a pattern is identified and described with algebra, we can use that model to understand it and predict its future behavior.
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From the spiral of a galaxy to the petals on a flower, the universe is not random. It is filled with profound, beautiful patterns.
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Algebra is the powerful, universal language we invented to be able to read and appreciate that cosmic poetry.
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