Mathematics

20040113 ALGEBRA 1 CP

(9) 5 CR. PREREQUISITE: COUNSELOR REVIEW.

This course is a development of algebraic concepts taught in Middle School; emphasizing conceptual understanding while building fundamental skills. Technology, such as graphing calculators or Chromes, are used to build a deeper understanding of relationships while also teaching students to use the technological tools.  Students will be expected to understand problem solving, content and skills in relation to:  equations and inequalities (in one-variable), linear equations and inequalities, quadratics and exponential functions, polynomials and rational expressions, including exponents.  Algebra 1 is a gatekeeper course which all students must pass to advance.  

20040114 ALGEBRA 1 HONORS

(9) 5 CR. PREREQUISITE: TEACHER RECOMMENDATION.

This course will cover Algebra CP topics listed above, at a more rigorous level and/or pace than the CP course.  

20040313 GEOMETRY CP

(10) 5 CR. PREREQUISITE: ALGEBRA 1.

This course is designed to emphasize the fundamentals and application of traditional Euclidean plane geometry, enriched by coordinate geometry, solid geometry, and right triangle trigonometry. This course requires students to extend the study of plane and spatial relationships studied in earlier grades through the application of inductive and deductive reasoning to defined terms, properties, postulates, and previously proven theorems. Topics will include properties of angles, perpendicular and parallel lines, triangles, quadrilaterals, polygons, circles, transformations, similarity, congruence, perimeter and area of two dimensional figures, and volumes of solids. Proofs are explored and alternate methods will be used to demonstrate theorems. Coordinate geometry will be implemented to clearly demonstrate geometric applications. Students will further develop arithmetic and algebraic skills through their application within the context of geometry. 

2040314 GEOMETRY HONORS

(9-10) 5 CR. PREREQUISITE: HONORS ALGEBRA 1 OR TEACHER RECOMMENDATION IN ALGEBRA CP.

This course will cover Geometry CP topics listed above, at a more rigorous level and/or pace than the CP course.   An emphasis is placed on the deductive method, and original thinking is encouraged. Coordinate methods of proof relate geometry and algebra.  Students will explore different forms of proof and will utilize and further develop algebraic skills through application within the context of geometry. Real life applications of concepts will be integrated within each unit of study.  

20040123 ALGEBRA 2 CP

(11-12) 5 CR. PREREQUISITE: ALGEBRA 1, GEOMETRY.

This course provides a review, refinement and extension of the skills learned in Algebra 1. This course requires students to extend equation-solving techniques to include systems of equations and polynomial equations with irrational and complex roots. Polynomial, rational, exponential, radical, and logarithmic functions. The structure of real and complex number systems, the concepts and skills for coordinate geometry, such as midpoint, distance and slope, polynomial and rational expressions, exponents and radicals, complex numbers, and functions are included topics for analysis, application, and review. Students will develop skills through both algebraic techniques and graphing calculator methods. Additional topics of study will include probability and counting, statistics, and topics in trigonometry.

20040124 ALGEBRA 2 HONORS

(10-11) 5 CR. PREREQUISITE: GEOMETRY HONORS OR TEACHER RECOMMENDATION IN GEOMETRY CP.

This course will cover Algebra 2 CP topics listed above, at a more rigorous level and/or pace than the CP course.  An additional emphasis is placed on trigonometry.  

20041612 COLLEGE ALGEBRA

(11) 5 CR. PREREQUISITE: FUNDAMENTALS OF GEOMETRY AND TEACHER RECOMMENDATION.

This course is designed for students who have completed Algebra I and Geometry, but experienced difficulties, particularly in Algebra 1. The course aims to provide both a thorough review and reinforcement of algebraic skills and concepts from Algebra I and an extension of such topics so that students are prepared for future mathematics courses such as Algebra 2.  Selected Algebra topics will be explored and mastered, including exponents, rational expressions, polynomials, radicals, equations and inequalities, relations and functions (linear, quadratic, exponential), systems of equations.  

20040413 PRE-CALCULUS CP

(11-12) 5 CR. PREREQUISITE: ALGEBRA 2 CP.

This course includes trigonometry, advanced algebra, analytic geometry.  This curriculum involves the studies of all families of functions, trigonometry, analytical geometry, and the application of these topics in real-world problem solving. Students will review, further develop, and extend the study of algebra and geometry concepts from previous courses in order to develop the essential mathematical background necessary for the study of calculus.  Topics include the structure of number systems, properties of polynomial, exponential and logarithmic functions, an introduction to polar equations, limits and derivatives.  Students will graph and analyze, in-depth polynomial, rational, radical, exponential, logarithmic, circular, and trigonometric functions. Students will build skills through both advanced algebraic techniques and graphing calculator methods.  This course is designed to prepare qualified students for the study of Honors Calculus or Calculus in college.  

20040414 PRE-CALCULUS HONORS

(11-12) 5 CR. PREREQUISITE: ALGEBRA 2 HONORS OR ALGEBRA 2 CP WITH TEACHER RECOMMENDATION.

This course will cover Pre-Calculus CP topics listed above, at a more rigorous level and/or pace than the CP course. This course is designed to prepare qualified students for the study of calculus, Honors Calculus, AP Calculus, or Calculus in college.  

20040415 AP PRE-CALCULUS 

(11-12) 5 CR. PREREQUISITE: ALGEBRA 2 HONORS WITH TEACHER RECOMMENDATION. 

Placement exam required and administered by Algebra 2 teacher.

AP Precalculus is designed to be the equivalent of a first semester college precalculus course. This course focuses on functions that model dynamic phenomena and prepares students for college-level calculus and other advanced courses. Students explore a variety of function types, including polynomial, rational, exponential, trigonometric, and logarithmic, with an emphasis on their graphical, numerical, analytical, and verbal representations. The course fosters a deep understanding of functions as relations that map input values to output values, essential for fields like mathematics, science, and data analysis. It emphasizes skills such as symbolic manipulation, problem-solving, and modeling, preparing students for both academic and real-world applications of mathematics.

Calculus

20040514 FOUNDATION OF CALCULUS HONORS

(12) 5 CR. PREREQUISITE: PRE-CALCULUS HONORS OR PRE-CALCULUS CP WITH TEACHER RECOMMENDATION.

This course is a fourth year course in an accelerated college preparatory sequence. Topics include relations and functions; exponential functions, logarithmic functions, analytic geometry, series, sequences, limits, polynomials, derivatives. Students will graph and analyze in-depth polynomial, rational, radical, exponential, logarithmic, circular, and trigonometric functions.  The course is equivalent to a first semester college calculus course.  

20040515 AP CALCULUS AB

(12) 5 CR. PREREQUISITE: PRE-CALCULUS HONORS AND TEACHER RECOMMENDATION.

This course is a college level course in differential and integral calculus. Topics included analytic geometry, limits, derivatives, continuity, integrals, and operations.  This course is designed to challenge our best mathematics students; it differs from BC calculus due to the pace of the content learned, and not in the difficulty of the content.  

20040525 AP CALCULUS BC

(12) 5 CR. PREREQUISITE: PRE-CALCULUS HONORS AND TEACHER RECOMMENDATION.

This course is a college-level course in differential and integral calculus. Typically this course is taught over two years, so only the most exceptional and highly motivated students with strong mathematical content knowledge should consider taking the BC course their senior year.  The course includes all topics taught in Calculus AB plus additional topics, but both courses are intended to be challenging and demanding; they require a similar depth of understanding of common topics, including function/graphs/limits, derivatives and integrals.  

Statistics

20042113 DATA SCIENCE CP

(12) 5CR. PREREQUISITE:  2 YEARS OF MATHEMATICS.

This full-year elective course will introduce students to the main ideas in data science, equipping students with the knowledge to separate fact from fiction while analyzing and interpreting data in the real-world.  Students will develop their understanding of data analysis, sampling, correlation/causation, bias and uncertainty, probability, modeling with data, making and evaluating data-based arguments, the power of data in society, and more! This course can lead to a pathway in calculus, statistics, data science, other STEM or humanities subjects.   

20040615 AP STATISTICS

(10-12) 5 CR. PREREQUISITE: PRE-CALCULUS HONORS, ALGEBRA 2 HONORS OR GEOMETRY HONORS

This course will introduce students to major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to four broad conceptual themes: exploring data, sampling and experimentation, anticipating patterns, and statistical inference. The content is advanced, yet appropriate for motivated students who meet the prerequisites.  

Computers and Programming

20040711 INTRODUCTION TO PROGRAMMING

(9-12) 5 CR. PREREQUISITE: NONE. 

This full-year elective introduces students to the exciting discipline of computer programming. The class teaches computer programming concepts using the GameMaker software to design video games,  as well s produce more traditional introductory programs using the Java programming language. This is a project-based class where students learn the basic principles of developing computer software: variables, mathematical operations, conditional statements, looping structures, string processing and basic data structures using arrays. While this course is most beneficial for students with strong interest in STEM, it promotes critical problem solving strategies that are valuable across many disciplines. Underclassmen NOT enrolled in the honors math program who are interested in taking AP COMPUTER SCIENCE in the future are required to enroll in this course.

20040724 COMPUTER CODING HONORS

(9-12) 5 CR. PREREQUISITE: HONORS MATH STUDENT, COMPLETION OF MIDDLE SCHOOL CODING CLASS, AND/OR TEACHER RECOMMENDATION.

This course will cover the INTRODUCTION TO PROGRAMMING topics above at a more rigorous level and pace. The content areas covering recursive methods, method refactoring and more advanced data structures will be introduced. Underclassmen enrolled in the honors math program should enroll in this course, NOT the INTRODUCTION TO PROGRAMMING course.

20040733 INTERMEDIATE PROGRAMMING

(10-12) 5 CR. PREREQUISITE: INTRO TO PROGRAMMING/ CODING HONORS AND TEACHER RECOMMENDATION.

This full-year elective is a continuation of the exciting discipline of computer programming using both the Java programming language and the GameMaker software development environment introduced in the introductory programming classes. This is a project-based course where students continue their software development journey.  Topics from the introductory classes will include variables, math, conditional statements, looping structures and string processing.  New topics will include methods and scripts, one and two dimensional arrays and using objects.  Ancillary areas of computer science will also be incorporated into the various core units.  These will include but are not limited to: Number Systems, Web Development, Basic Cryptography and Persistence.  This course is recommended for those students who successfully completed one of the introductory programming courses and would like to further investigate the discipline.  A recommendation from your introductory course teacher is required.  Successful completion of this course with a teacher recommendation can be used as entrance into the AP COMPUTER SCIENCE A course.

20040753 WEB CODING

(9-12) 5 CR. PREREQUISITE: NONE.

This full-year elective introduces students to the exciting discipline of computer programming centered on creating and modifying interactive web pages and apps built utilizing HTML, CSS, and JavaScript. The class teaches computer programming concepts using the BSD Online sandbox curriculum to design webpages, online apps, and basic online games that build basics of coding logic and syntax using the HTML, CSS, and JavaScript languages. This is a project-based class where students learn the basic principles of developing computer software: syntax, variables, mathematical operations, conditional statements, and matrices. While this course is most beneficial for students with strong interest in STEM, it promotes detail orientation and critical problem solving strategies that are valuable across many disciplines. This course is a supplement to the standard Computer Science Track, but may act as a stand alone course.

20042013 DIGITAL ELECTRONICS HONORS

(10-12) 5 CR. PREREQUISITE: ENROLLED IN OR COMPLETED ALGEBRA 2.

DIGITAL ELECTRONICS (DE) is BHS’s first Project Lead The Way (PLTW) course in the Engineering Program. DE is appropriate for students enrolled in Algebra 2 or higher and are interested in exploring electronics. The purpose of this introductory pre-engineering course is to develop the student’s logical thinking skills by solving problems and designing control systems. In this manner, students gain a better understanding of the digital circuits in microelectronic design, manufacturing, computer technology, and information systems. 

20040911 MATH APPLICATIONS 12

(12) 5 CR. PREREQUISITE: 2 YEARS OF MATHEMATICS.

This course is a final course in mathematics for graduating seniors.  The course is designed to develop problem-solving skills and 21st Century-thinking skills through the real-world application of fundamental algebraic and geometric concepts.  

20042311   MATH LAB

(9) 2.5 CR. PREREQUISITE: TEACHER RECOMMENDATION

Math Lab is a semester course offered to specific freshmen who qualify for targeted mathematics instruction to promote success on the state assessments and in high school academic coursework. This class is designed to target specific literacy skill development based on individual student need, to make use of benchmarking assessment data to develop individual learning goals, and to support students who struggle early in their high school career. This course will act as a supplement to the existing Algebra 1 curriculum that includes extensive connections to problem solving, content and skills in relation to:  equations and inequalities (in one-variable), linear equations and inequalities, quadratics and exponential functions, polynomials and rational expressions, including exponents.

20040911 MATH APPLICATIONS 12

(12) 5 CR. PREREQUISITE: 2 YEARS OF MATHEMATICS.

This course is a final course in mathematics for graduating seniors.  The course is designed to develop problem-solving skills and 21st Century-thinking skills through the real-world application of fundamental algebraic and geometric concepts.  

20042211  MATH SR ASSESS SUPPORT Fall, 20042221 MATH SR ASSESS SUPPORT Spring

(12) 2.5 CR. PREREQUISITE: NJ TEST REQUIREMENT NOT MET.

Students entering senior year without passing scores in the NJ Graduation Test Requirements will be placed in the Fall course and, if necessary, the Spring semester course until the requirement is met. Fall semester prepares students to take or retake the Accuplacer exam or other exams permitted under current testing rules. Spring semester prepares students to create portfolios as an alternative to passing test scores.