# Mathematics

## Mathematics Course Offerings

### Common Core Integrated Algebra

CC Integrated Algebra is the first mathematics course in high school. This course will assist students in developing skills and process to be applied using a variety of techniques to successfully solve problems in a variable, quadratic functions with integral coefficients and roots as well as absolute value and exponential functions. Coordinate geometry will be integrated into the investigation of these functions allowing students to make connections between their analytical and geometrical representations. Problem situations resulting in systems of equations will also be presented. Data analysis including measures of central tendency and visual images of data will be studied. An understanding of correlation and causation will be developed, and reasonable lines of best fit will be used to make predictions. Students will solve problem situations requiring right triangle trigonometry. Elementary probability theory will be used to determine the probability of events including independent, dependent and mutually exclusive events.

### Common Core Geometry

CC Geometry intended to be the second course in mathematics for high school students. Students will have the opportunity to make conjectures about geometric situations and prove in a variety of ways, both formal and informal, that their conclusion follows logically from their hypothesis. This course is meant to employ an integrated approach to the study of geometric relationships. Integrating synthetic, transformational, and coordinate approaches to geometry, students will justify geometric relationships and properties of geometric theorems. Transformations including rotations, reflections, translations, and glide reflections and coordinate geometry will be used to establish and verify geometric relationships. The primary emphasis of this course is to allow students to investigate geometric situations.

### Common Core Algebra II/Trigonometry

CC Algebra II/Trigonometry is the capstone course for the three units of credit required for a Regents diploma. This course is a continuation and extension of the two classes that preceded it. This course is intended to continue developing alternative solution strategies and algorithms. Within this course, the number system will be extended to include imaginary and complex numbers. The families of functions to be studied will include polynomial, absolute value, radical, trigonometric, exponential, and logarithmic functions. Problem situations 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 the 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 the basis for the study of probability theory, and the normal probability distribution will be analyzed and used as an approximation for these binomial experiments. The 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.