Algebra, Numbers, and Geometry

Develops the principles of algebra. Offers students an opportunity to develop a clear understanding of the mathematical concepts involved and to translate personal mathematical accomplishment into effective teaching strategies. Explores arithmetic as a basis for understanding algebra. Uses exciting “tricks” and “puzzles” that can be used in the classroom. The tools and techniques of arithmetic then motivate an understanding of the general principles of algebra. Explores visual connections via graphing. Covers principles of arithmetic (algebraic rules, order of operations, exponents, logarithms), number theory (primes, Euclidean algorithm), elements of combinatorics (counting techniques, divided differences), number systems and bases, polynomial algebra, linear functions, manipulating quadratics, graphing and connections to area, rational functions, and complex numbers. Emphasizes algebra and numbers, though integral elements of geometry appear throughout discussions.

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