Algebra I builds on the increasingly generalized approach to the study of functions and representations begun in the middle grades. This is done by broadening the study of linear relationships to include piecewise functions such as absolute value and greatest integer, systems of equations with three unknowns, formalized function notation and recursive representations, and the development of bivariate data analysis topics as linear regression and correlation. Exponential and quadratic function families, logarithmic patterns, power and polynomial patterns, will be studied within the real number system and its properties. Elementary number theory, complex numbers, and vector representation will be included while modeling with applications.