Course Descriptions: Math

Integrated Algebra is the first mathematics course in high school. Students study linear equations with variable, quadratic functions with integral coefficients, 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. System of equations, data analysis, probability and right triangle trigonometry will also be studied. Students will take the Algebra I Regents Examination in June.

This is the second course in mathematics for high school students. Within this course, 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. Congruence and similarity of triangles will be established using appropriate theorems. Transformations including rotations, reflections, translations, and glide reflections and coordinate geometry will be used to establish verify geometric relationships. A major emphasis of this course is to allow students to investigate geometric situations. Properties of triangles, quadrilaterals, and circles will receive particular attention. Students will take the Geometry Regents examination in June

Topics in Geometry will follow similar topics of study as Geometry (R). This course is designed for the student who is not pursuing an Advanced Regents Diploma or who wants to strengthen math skills before pursuing a higher level math course.

Topics in Trigonometry will follow similar topics of study as Algebra II. This course is designed for the student who is not pursuing an Advanced Regents Diploma or who wants to strengthen basic skills before pursuing Algebra II.

Algebra II and Analytic Trigonometry is the capstone course of three units of Regents credit in mathematics. 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. 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. 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. Right triangle trigonometry will be expanded to include the investigation of circular functions. Students will take the Algebra II Regents examination in June.

This course emphasizes algebraic manipulations and problem solving. A thorough investigation into the study of statistics is also pursued. Topics included are: graphs, tables, frequency distributions, measures of central tendency and dispersion, normal distribution, correlation and regression, probability and inferential
statistics.

This is a dual-credit course. Students will earn high school credit and have the opportunity to earn college credit. Students who pass the MVCC placement test may earn seven college credits, transferrable to most two- and four-year colleges, upon successful completion of this course. Students seeking college credit may have no more than six absences each semester.

This course is designed for students who will pursue postgraduate study in the pure sciences or engineering. Topics included are: theory of equations, introduction  to calculus, analytic geometry, logarithmic functions, and trigonometric functions.

This course consists of a full academic year of work in calculus and related topics comparable to courses in colleges and universities. Most of the year’s work will be devoted to the topics in differential and integral calculus and applications. It leads to the AP exam in May.

This course consists of a full academic year of work in statistics and is comparable to statistics courses taught at colleges and universities. Most of the year’s work will be devoted to topics in data analysis, data collection, probability and statistical inference. Students who wish to leave open the option of taking calculus in either high school or college, should include pre-calculus in their high school program and consider taking AP Statistics concurrently with pre-calculus.