The language of algebra, unifying mathematical properties and structures, real world problem solving, and interdisciplinary connections are emphasized. Students explore and analyze patterns and functional relationships using technology when appropriate. Sets, Operations, and Mathematical Systems Formal development of the vocabulary and notation regarding sets, operations, and mathematical systems is continued throughout the course. Familiar topics of sets, operations, and properties are broadened as students are introduced to the fundamental algebraic structures of groups, rings, fields, and ordered fields. The definitions, axioms, and theorems of these structures are developed in coordination with algebra.
Students also explore matrix operations, properties, and applications.
Mappings, Relations, and Functions Students examine the fundamental concepts of mappings, relations, and functions in conjunction with operations, properties, and basic structures. The concepts of sets and subsets lead to work with mappings and binary relations with an emphasis on functions. The study of functions includes discontinuous, continuous, step, and piece-wise functions. The construction of graphical representations of real world data is an extension of the analysis begun in Magnet Math 6. Best fit lines and trend curves are used to describe relationships and make predictions.