Functions, Algebra, and Data Analysis

Pre-requisite: Algebra I

Designing experiments and building mathematical models to describe the experimental results allow students to strengthen conceptual understandings of linear, quadratic, exponential, and logarithmic functions. Within the context of mathematical modeling and data analysis, students study functions and their behaviors, systems of inequalities, probability, experimental design and implementation, and analysis of data. Data is generated by practical applications arising from science, business, and finance. Students solve problems that require the formulation of linear, quadratic, exponential, or logarithmic equations or a system of equations. Through the investigation of mathematical models and interpretation/analysis of data from real life situations, students strengthen conceptual understandings in mathematics and further develop connections between algebra and statistics. Graphing calculators and other emerging technologies are incorporated into instruction to enhance teaching and learning. Mathematical communication, reasoning, problem solving, critical thinking, and multiple representations are emphasized throughout the course.

Math Interventions

Credit: 0.5 (Semester)

Pre-requisite: Algebra I

SOL Test: Algebra 1

Algebra Intervention is designed to provide students with tools to help them master topics found on the end of year Algebra I SOL exam. This course will address topics in operations and linear equations, inequalities, linear functions, and data organizations. Students will use functions to represent, model, analyze, and interpret relationships in problem situations. This course will be assigned as needed, and students will take the Algebra 1 SOL. Credit from this course does not count toward the math graduation requirement.

Geometry 

Pre-requisite: Algebra I

SOL Test: Geometry

The combined study of plane, solid, and coordinate geometric concepts that provide students with the skills necessary for the study of advanced mathematics. Investigations of lines, planes, congruence, similarity, areas, volumes, circles, and three-dimensional shapes are incorporated to provide a complete course of study. Formal and informal deductive reasoning skills are developed and applied to the construction of formal proofs. An emphasis on reasoning, problem solving, and proof is embedded in the course and includes two-column proofs, paragraph proofs, and coordinate proofs. Computers and graphing calculator technologies are incorporated into the curriculum in order to allow students opportunities to explore concepts, engage in inquiry-based learning, provide visual models to support the learning of geometric concepts, and as powerful tools for solving and verifying solutions to equations and inequalities. Mathematical communication and reasoning are emphasized throughout the course.

Algebra II 

Pre-requisite: Algebra I and Geometry

SOL Test: Algebra II

Algebra II provides a thorough study of functions, including parent functions, families of functions, and transformational graphing. Transformational graphing uses translations, reflections, dilations, and rotations to generate a family of graphs from a parent graph. The continued study of equations, systems of equations, inequalities, and systems of inequalities builds on Algebra I concepts while polynomials, imaginary numbers in the complex number system, and sequences and series allow additional opportunities for modeling and practical applications. Graphing calculators and other emerging technologies are incorporated into instruction to enhance teaching and learning. Mathematical communication, reasoning, problem solving, critical thinking, and multiple representations are emphasized throughout the course.

Algebra II/Trigonometry H

Pre-requisite: Algebra I and Geometry

SOL Test: Algebra II

Algebra II/Trigonometry provides a thorough study of functions, including parent functions, families of functions and transformational graphing. Transformational graphing uses translations, reflections, dilations, and rotations to generate a family of graphs from a parent graph. The continued study of equations, systems of equations, inequalities, and systems of inequalities builds on Algebra I concepts while polynomials, imaginary numbers in the complex number system, matrices, and sequences and series allow additional opportunities for modeling and practical applications. The study of trigonometry includes trigonometric definitions, applications, equations, and inequalities. The connections between right triangle ratios, trigonometric functions, and circular functions are emphasized. Graphing calculators and other emerging technologies are incorporated into instruction to enhance teaching and learning. Mathematical communication, reasoning, problem solving, critical thinking, and multiple representations are emphasized throughout the course.

Trigonometry/Advanced Algebra

Pre-requisite: Geometry and Algebra II

Trigonometry/Advanced Algebra is designed to serve as a bridging course between Algebra II and Precalculus. This course explores topics in fundamental trigonometry and extends students' understanding of algebraic functions. Trigonometry concepts include the study of trigonometric definitions, applications, graphing, and solving trigonometric equations and inequalities. Advanced Algebra concepts include the study of polynomial, rational, piecewise, absolute value, radical, step functions, exponential, and logarithmic functions. 

Precalculus 

Pre-requisite: Algebra II

Advanced Algebra/Precalculus emphasizes polynomial, exponential, logarithmic, and rational functions, theory of equations, sequences and series, conic sections, limits, mathematical induction, and the Binomial Theorem. Trigonometry topics include triangular and circular definitions of the trigonometric functions, establishing identities, special angle formulas, Law of Sines, Law of Cosines, and solutions of trigonometric equations. Constructing, interpreting, and using graphs of the various function families are stressed throughout the course of study. Students are encouraged to explore fundamental applications of the topics studied with the use of graphing calculators. Mathematical communication, reasoning, problem solving, critical thinking, and multiple representations are emphasized throughout the course.

AP Precalculus

Pre-requisite: Geometry and Algebra II

AP Precalculus explores everyday situations and phenomena using mathematical tools and lenses. Students will explore polynomial, rational, exponential, logarithmic, trigonometric, and polar functions. As well as functions involving parameters, vectors, and matrices. Students build deep mastery of modeling and functions, and they examine scenarios through multiple representations. They will learn how to observe, explore, and build mathematical meaning from dynamic systems, and important practice for thriving in an ever-changing world. Students have the opportunity to take the AP Precalculus exam in May with the possibility to earn college credit.

Discrete Mathematics 

Credit: 0.5 (paired with Statistics and Probability)

Pre-requisite: Algebra II

Discrete Mathematics involves applications using discrete variables rather than continuous variables. Modeling and understanding finite systems is central to the development of the economy, the natural and physical sciences, and mathematics itself. This course introduces the topics of social choice as a mathematical application, matrices and their uses, graph theory and its applications, and counting and finite probability, as well as the processes of optimization, existence, and algorithm construction. Graphing calculators and other emerging technologies are incorporated into instruction to enhance teaching and learning. Mathematical communication, reasoning, problem solving, critical thinking, and multiple representations are emphasized throughout the course.

Statistics and Probability 

Credit: 0.5 (paired with Discrete Math)

Pre-requisite: Algebra II

Elementary probability and statistics are studied with an emphasis on collecting data and interpreting data through numerical methods. Specific topics include the binomial and normal distributions, probability, linear correlation and regression, and other statistical methods. Students are expected to understand the design of statistical experiments. They are encouraged to study a problem, design and conduct an experiment or survey, and interpret and communicate the outcomes. Through meaningful activities and simulations, students are provided with experiences that model the means by which data are collected, used, and analyzed. This course enables students to be wise users of statistical materials. Graphing calculators and other emerging technologies are incorporated into instruction to enhance teaching and learning. Mathematical communication, reasoning, problem solving, critical thinking, and multiple representations are emphasized throughout the course.

AP Calculus AB 

Pre-requisite: Precalculus, AP Precalculus, or Mathematical Analysis

AP Calculus AB explores the topics of limits/continuity, derivatives, and integrals. These ideas are examined using a multilayered approach, including the verbal, numerical, analytical, and graphical analysis of polynomial, rational, trigonometric, exponential, and logarithmic functions and their inverses. The student is expected to relate the connections among these approaches. Students are also required to synthesize knowledge of the topics of the course to solve applications that model physical, social, and/or economic situations. These applications emphasize derivatives as rates of change, local linear approximations, optimizations and curve analysis, and integrals as Reimann sums, area of regions, volume of solids with known cross sections, average value of functions, and rectilinear motions. Emerging technologies are incorporated into the curriculum as they become available. Students have the opportunity to take the AP Calculus AB exam in May with the possibility to earn college credit.

AP Calculus BC 

Pre-requisite: AP Precalculus, Mathematical Analysis or AP Calculus AB

Advanced Placement Calculus BC is intended for students who have a thorough knowledge of analytic geometry and elementary functions in addition to college-preparatory algebra, geometry, and trigonometry. Although all of the elements of the AP Calculus AB course are included, the course provides a more rigorous treatment of these introductory calculus topics. The course also includes the development of the additional topics required by the College Entrance Examination Board in its syllabus for AP Calculus BC. Among these are parametric, polar, and vector functions; the rigorous definition of limit; advanced integration techniques; Simpson’s Rule; length of curves; improper integrals; Hooke’s Law; and the study of sequences and series. The use of the graphing calculator is fully integrated into instruction and students are expected to confirm and interpret results of problem situations that are solved using available technology. Emerging technologies are incorporated into the curriculum and as they become available. Students have the opportunity to take the AP Calculus BC exam in May with the possibility to receive college credit.

Computer Mathematics – Introduction to Computer Science

Pre-requisite: Algebra I

Computer Mathematics serves as an introduction to Computer Science and to object-oriented programming using JAVA. Students will learn to design graphical interfaces, write browser applets, and create their own games using the principles of OOP (object-oriented programming) using user-defined objects, encapsulation of data, and libraries. Students develop and refine skills in logic, organization, and precise expression, thereby enhancing learning in other disciplines. Programming is introduced in the context of mathematical concepts and problem-solving. Students define a problem; develop, refine, and implement a plan; and test and revise the solution.

AP Computer Science A 

Pre-requisite: Algebra I & Computer Mathematics - Introduction to Computer Science

AP Computer Science A is taught according to the syllabus for Computer Science A, available through the College Entrance Examination Board. Major topics in the course include programming methodology, algorithms, and data structures. Topics are extended to include constructs, data types, functions, testing, debugging, algorithms, and data structures. The JAVA programming language is used to implement computer-based solutions to meaningful problems. Treatments of computer systems and the social implications of computing are integrated into the course. Students have the opportunity to take the AP Computer Science A exam in May with the possibility of earning college credit.