Math

Algebra I (Common Core)

One (1) year; One (1) credit

This course is required for students to obtain a high school diploma. The curriculum is state mandated. Daily assignments are given. Both individual and group work is expected of each student. All topics are related to the Algebra I Common Core Regents exam.

Geometry (Common Core)

One (1) year; One (1) credit

Prerequisite: Common Core Algebra 1

This is the second course of the NYS Math Regents Curriculum. The fundamental purpose of the course in Geometry is to formalize and extend students’ geometric experiences from the middle grades. Major emphasis will be placed on; Congruence, Proof, and Constructions, Similarity, Proof, and Trigonometry, Extending to Three Dimensions, and Connecting Algebra and Geometry through Coordinates. The final exam is the NYS Common Core Geometry Regents Exam in June.

Honor Geometry (Common Core)

One (1) year; One (1) credit

Prerequisite: Common Core Algebra 1, Mastery on the Common Core Algebra 1 Regents exam

This is the second course of the NYS Math Regents Curriculum with emphasis on multi-faceted geometric proofs. This class is for the student who easily understands the concepts of mathematics learned in the previous math courses. The basic concepts taught in the Geometry Common Core will be the same for the Honors course but will be taught at a faster pace. This allows ample time for a more in-depth study of geometry proofs and problems.

The final exam is the NYS Common Core Geometry Regents Exam in June.

Algebra 2 (Common Core)

One (1) year; One (1) credit

Prerequisite: Algebra 1 Common Core (Class and Regents), Geometry Common Core (Class and Regents)

This course follows the Common Core model pathway for Algebra II: functions, polynomials, periodic phenomena, and collecting and analyzing data. Students will make connections between verbal, numeric, algebraic, and graphical representations of functions and apply this knowledge as they create equations and inequalities that can be used to model and solve mathematical and real-world problems. Students will draw analogies between the operations and field properties of real numbers and those of complex numbers and algebraic expressions. The Common Core practice standards are embedded throughout the course, as students solve novel problems, reason abstractly, and think critically. This course provides the foundational skills for expansion to higher level mathematics and science.

CHS Pre-Calculus

One (1) year: One (1) credit

(FMCC – COLLEGE IN THE HIGH SCHOOL)

Prerequisite: Algebra 2 (Common Core)

Pre-Calculus is the 4th course in the mathematics sequence. The topics include advanced algebra and trigonometry, logarithmic and exponential functions, analytical trigonometry, polynomial functions, conics, matrices and determinants, sequences, series, and an introduction to calculus.

CHS Algebra

Half (1/2) year; Half (1/2) credit

(FMCC – COLLEGE IN THE HIGH SCHOOL)

Prerequisite: Students should have passed the Algebra II course; students scoring below mastery on the Regents exam might find this course beneficial. Students may choose to take Pre-Calculus after this course

Topics include: absolute value equations and inequalities; second degree equations, inequalities, graphs and applications; relations and functions; rational expressions, equations, inequalities, and applications; radical expressions and equations; conics and applications; exponential and logarithmic functions; trigonometric functions, graphs, and applications; systems and matrices; sequence and series and complex numbers.

USH/AP Calculus

One (1) year: One (1) credit

(SUNY ALBANY – UNIVERSITY IN HIGH SCHOOL OR ADVANCED PLACEMENT)

Prerequisite: Pre-calculus

This course is intended for students who have a thorough knowledge of college preparatory mathematics including algebra, geometry, trigonometry, and analytic geometry. The course consists of a full academic year’s work in calculus and related topics comparable to courses in colleges and universities. It is expected that students who take the course are mature, self- motivated students who will seek college credit and/or placement. The main topics covered are elementary functions, differential calculus and integral calculus. Students can opt to register for University in High School credits through University at Albany or take the Calculus AB Advanced Placement Test given in May. Students must choose one of these two options.

Financial Math

One (1) Year, One (1) credit

Prerequisite: Algebra 1 (Common Core)

This course takes an applied approach to the mathematics field. Students will be looking at various methods of making money, as well as, ways of utilizing currency. The topics students may include, but are not limited to, renting apartments with associated utilities, cars, houses, mortgages, loans, savings accounts, checking accounts, and stocks.

Exploring Computer Science

One (1) year, One (1) Credit

Prerequisite: 2 credits in mathematics

Exploring Computer Science (ECS) is designed to introduce students to the breadth of the field of computer science through an exploration of engaging and accessible topics. Rather than focusing the entire course on learning particular software tools or programming languages, the course is designed to focus on the conceptual ideas of computing and help students understand why certain tools or languages might be utilized to solve particular problems. The goal of Exploring Computer Science is to develop in students the computational practices of algorithm development, problem-solving and programming within the context of problems that are relevant to the lives of today’s students. Students will also be introduced to topics such as interface design, limits of computers, and societal and ethical issues.

CHS Introduction to Statistics

Half (1/2) year; Half (1/2) credit

(FMCC – COLLEGE IN THE HIGH SCHOOL)

Prerequisite: Algebra 1 Common Core, Geometry Common Core

This purpose of this course is to introduce students to the major concepts and tools for collecting, analyzing and drawing conclusions from data. Students are exposed to four broad conceptual themes:

  1. Exploring Data: describing patterns and departures from patterns
  2. Sampling and Experimentation: Planning and conducting a study
  3. Anticipating Patterns: Exploring random phenomena using probability and Simulation
  4. Statistical Inference: Estimating population parameters and testing hypotheses