ALGEBRA 3-4 Honors
Building on their work in Algebra I with linear and quadratic functions, students in Algebra II expand their repertoire by working with rational and exponential expressions; polynomial, exponential and logarithmic functions; trigonometric functions with real number domain; and sequences and series. Students work closely with the expressions that define the functions and continue to expand and hone their abilities to model situations and solve equations. Exponential functions, trigonometric functions, and sequences and series all provide opportunities for modeling. As students encounter more and more varied mathematical expressions and functions, general principles they encountered in Algebra I remain relevant, unifying the material in the course.
Students in Algebra II continue their work with Statistics and Probability. They explore and investigate the randomness underlying statistical experiments and make inferences and justify conclusions from sample surveys, experiments and observational studies. They also use probability to evaluate the outcomes of more complex situations than they previously encountered in Geometry.
The critical areas in Algebra II include polynomials (including the structural similarities between the system of polynomials and the system of integers) and polynomial equations, unit circle trigonometry, families of functions (the culmination of all of the types of functions that have been studied and the addition of trigonometric and logarithmic functions), and statistical and probabilistic modeling. The Standards for Mathematical Practice apply throughout the Algebra II course and, when connected meaningfully with the content standards, allow for students to experience mathematics as a coherent, useful and logical subject. Details about the content and practice standards follow in this analysis.