in universal algebra, a variety, a set of structures satisfying some further given set of equations on their elements.
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Students use a variety of representations (concrete, pictorial, algebraic, and coordinate), tools, and technology, including, but not limited to, powerful and accessible hand- held calculators and computers with graphing capabilities to solve meaningful problems by representing figures, transforming figures, analyzing relationships, and proving things about them.
Students use mathematical models from algebra, geometry, probability, and statistics and connections among these to solve problems from a wide variety of advanced applications in both mathematical and nonmathematical situations.
The student is expected to: (A) use geometric transformations, symmetry, and perspective drawings to describe mathematical patterns and structure in art and architecture; and (B) use geometric transformations, proportions, and periodic motion to describe mathematical patterns and structure in music.
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