Algebra 2 and Trigonometry is the capstone course of the three units of credit required for a Regents diploma. This course is a continuation and extension of the two courses that preceded it. While developing the algebraic techniques that will be required of those students that continue their study of mathematics, this course is also intended to continue developing alternative solution strategies and algorithms. For example, technology can provide to many students the means to address a problem situation to which they might not otherwise have access.
Within this course, the number
system will be extended to include imaginary and complex numbers.
The families of functions to be studied will include polynomials,
absolute value, radical, trigonometric, exponential, and logarithmic
functions. Problem situation involving direct and indirect
variation will be solved. Problems resulting in systems of
equations will be solved graphically and algebraically.
Algebraic techniques will be developed to facilitate rewriting
mathematical expressions into multiple equivalent forms. Data
analysis will be extended to include measures of dispersion and the
analysis of regression that model functions studied throughout this
course. Associated correlation coefficients will be
determined, using technology tools and interpreted as a measure of
strength of the relationship. Arithmetic and geometric
sequences will be expressed in multiple forms, and arithmetic and
geometric series will be evaluated. Binomial experiments will
provide a basis for the study of probability theory and the normal
probability distribution will be analyzed and used a a n
approximation for these binomial experiments. Right triangle
trigonometry will be expanded to include the investigation of
circular functions. Problem situations requiring the use of
trigonometric equations and identities will also be investigated.