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.
Students evaluate the validity of models produced with and without the aid of technology.
Linear, Quadratic, and Exponential Functions Linear, quadratic, and exponential functions are studied in depth. Students work with quadratic functions written in general and standard forms, and find the vertex, line of symmetry, and intercepts of quadratic functions. After operating with linear and quadratic functions, students explore exponential functions. They graph, study transformations of, identify properties relating to, and engage in problem solving applications involving all three types of functions. The laws of exponents, including fractional and negative exponents, as well as theorems about radicals are used to simplify monomials and more complex expressions.