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Mathematics

Math Connections 1                                        601      Gr. 9                1 credit            Full Year

This is aligned with Algebra I concepts and includes hands-on data gathering, presentation, and analysis. Students will use first degree equations with coordinated geometry of straight lines lead correlating two sets of data and identify functional relationships to analyze and forecast data in realistic world settings. The course includes techniques for solving linear equations and interpreting solutions in real world contexts. Reading and problem solving will be emphasized throughout the course. Ideas and concepts will be reinforced through projects and review questions in each section.

 

Math Connections 2                                        602      Gr. 10-12         1 credit            Full Year

This is the second course in a three-year Math Connections sequence but open to students who have completed Algebra I. The focus of the courses will be the study of geometry through a discovery approach, using constructions and manipulative. Algebraic and geometric concepts will integrated throughout the course. This course is aligned traditional Geometry concepts. The key concepts covered will include the basic concepts of measurement, progressing to the study of polygons, similarity, congruence, circles and three dimensional shapes and spaces.

 

Math Connections 3                                        603      Gr. 11-12         1 credit            Full Year

The course continues the study of Geometry, but deepens the integration of Algebra topics. The course starts with a study of circles, from a geometrical perspective, and then an algebraic perspective. It continues with a look at three-dimensional geometry, including the derivation of volumes of cones, pyramids, and spheres. The topics of systems of equations in two variables are considered using elimination, substitution, and matrix solutions. The course concludes with a unit on quadratics, an introduction to complex numbers, and an exploration of various features of polynomials. Throughout the course, connections to real-world examples are heavily used to motivate the mathematics that is presented.

 

Topics in Mathematics                                    604      Gr. 11-12         1 credit            Full Year

This course is designed for students who need practical mathematics for use in their jobs and personal lives. Topics to be covered may include consumer math, applications of geometry, and basic probability and statistics, as well as others. Prerequisite: One credit of Mathematics.

 

Algebra 1 Part 1                                              605      Gr. 9                1 credit            Full Year

This Algebra course will deliver half the material covered in Algebra 1 CCP. More time will be devoted to each topic to insure comprehension of new material, reviewing basic math skills as needed. Topics will include the properties of real numbers, positive and negative numbers, fractions and decimals, solving equations and inequalities, linear equations and graphing. Prerequisite: Lead Teacher or Guidance Counselor placement.

 

Algebra 1 Part 2                                              606      Gr. 10              1 credit            Full Year

This Algebra course completes the Algebra I CCP curriculum for students who have taken Algebra 1 Part 1. Successful completion of this course allows students to move on to Geometry and Algebra II. Topics will include absolute value, solving equations, addition, subtraction, multiplication and division of polynomials, factoring, graphing, linear systems, linear inequalities, rational numbers, squares and square roots, and exponents.

 

Algebra 1 - ACC                                             607      Gr. 9                1 credit            Full Year

This course involves students in exploring and discovering mathematical concepts. Algebra is connected to the real world and deeply applied in other subjects such as chemistry and physics. The course emphasizes the use of functions, equations, graphs, quadratics and exponents to solve problems. This course connects algebra to geometry, statistics and probability. Summer work will be required.

 

Algebra 1 - CCP                                             609      Gr. 9                1 credit            Full Year

This Algebra course includes the properties of the real numbers, linear equations and inequalities, polynomials, functions, graphs, systems of linear equations, rational expressions, and square roots.

 

Algebra Lab                                                   610      Gr. 9                1 credit            Full Year

This course will be linked directly with Algebra I CCP classes. Students are assigned to the Algebra Lab based upon teacher recommendations. This Lab course is aligned conceptually and chronologically to the Algebra I CCP course and provides students with the extra instruction and practice needed to be successful in Algebra

 

Geometry - ACC                                              613      Gr. 9-10           1 credit            Full Year

This course involves students in a comprehensive study of geometric figures and relationships. Many aspects of geometry are included: theory and application; informal and formal reasoning; symbolic and visual thinking; synthetic, coordinate and transformational methods. Interactive computer software is used to help students form conjectures, which are then justified by logical reasoning (proof). Students gradually learning the necessary skills to produce convincing arguments. Summer work will be required. Prerequisite: Algebra 1 ACC or Eighth Grade Team placement for students entering ninth grade.

 

Geometry - CCP                                             615      Gr. 10-12         1 credit            Full Year

This course involves students in a comprehensive study of geometric figures and relationships. Many aspects of geometry are included: theory and application; informal and formal reasoning; symbolic and visual thinking; synthetic, coordinate and transformational methods. Interactive computer software is used to help students form conjectures, which are then justified by logical reasoning (proof). Students gradually learning the necessary skills to produce convincing arguments. Summer work will be required. Eighth Grade Team placement for students entering ninth grade.

 

Applied Geometry                                           616      Gr. 10-12         1 credit            Full Year

This course is designed to support students who have had difficulty with the Algebra 1 concepts. Applied Geometry will engage and challenge students with all the topics presented in a traditional geometry program. These topics include angle and segment measurement, triangles, quadrilaterals, congruency, parallelism, similarity, circles, and an introduction to trigonometry. The program is designed to appeal to all learners with topics introduced by using hands on activities that reflect real life applications. Technological tools and Internet based resources will be an integral part of classroom activities.

 

Algebra 2 - ACC                                             619      Gr. 10-12         1 credit            Full Year

This course places an emphasis on the concepts of sets, functions, quadratics, graphical representations and problem solving. It is highly rigorous and requires a serious commitment to learning deeper mathematics concepts. Summer work will be required.

 

Algebra 2 - CCP                                             621      Gr. 11-12         1 credit            Full Year

Students engage in a review of the real number system, factoring, coordinate geometry, functions, quadratic equations, trigonometry, complex numbers, systems of equations, exponents and logarithms, and polynomial equations. The curriculum includes an in-depth review of a variety of word problems. Summer work will be required.

 

Foundations of College Mathematics             HD30   Gr. 11-12         1 credit            Full Year

This course is recommended for students who have completed Algebra 1 Part 1 & 2, Math Connections II or Applied Geometry and want to further prepare for higher education coursework. The course provides the student with the basic algebra manipulation skills to compute solutions within the NHCTC curriculum. The algebra topics offered are signed numbers, polynomial operations, solutions of linear equations and inequalities involving numerical and literal terms, factoring polynomials, word problems, formula manipulation, graphing linear equations, systems of linear equations and solution of equations by factoring or the quadratic formula as well as quadratic equations. Available for NHCTC college credit through Project Running Start pending approval. Students who wish to register for the college course must take the Accuplacer Placement Test during the first of week of course. Prerequisites: Satisfactory placement test scores and Math Connections II or Applied Geometry.

 

Pre-Calculus                                                   629      Gr. 11-12         1 credit            Full Year

This course is designed for the serious student planning to take Calculus at the high school or college level. Summer review work will be required. A variety of functions will be examined, including polynomial, rational, trigonometric, exponential, and logarithmic functions. Students will also be exposed to topics in Linear Algebra, Analytic Geometry, Complex Variables, as well as accelerated study of Trigonometry. Prerequisite: Algebra II, or Teacher/Lead Teacher recommendation.

 

SAT Prep for Math                                         630      Gr. 11              .5 credit           Half Year

This pass/fail course is offered to students who wish to prepare for the math portion of the SAT exam. Students will learn test-taking strategies and review mathematical skills from Algebra I, Geometry, Algebra II and Probability & Statistics. This course does not count as a math requirement towards graduation and attendance is mandatory after taking the SAT in order to be awarded credit.

 

Trigonometry                                                    631      Gr. 11-12         .5 credit           Half Year

This course, designed for students not taking Pre-Calculus or Calculus, is an in depth study of trigonometric functions introduced through the unit circle. This study includes both right and oblique triangles, trigonometric functions and their inverses and trigonometric identities. Applications are explored throughout the course. Prerequisite: Algebra II or Teacher/Lead Teacher recommendation.

 

Introduction to Probability & Statistics            632      Gr. 11-12         .5 credit           Half Year

This course is designed to provide students with the fundamental concepts in statistical analysis. Topics will include descriptive statistical concepts and methods, inferential statistical concepts and methods, probability, simulation, binomial and normal distributions and their application, hypothesis testing and confidence. Applications are emphasized throughout the course. Prerequisites: Algebra II, or Teacher/Lead Teacher recommendation.

 

AP® Calculus                                                 633      Gr. 12              1 credit            Full Year

Topics discussed will include limits and continuity, the derivative and definite integral with applications of both concepts, transcendental functions, techniques of integration and factors. A packet of summer review work will be required. The course will include significant use of the graphing calculator as aligned with the expectations of the College Board for the Advanced Placement Exam. Students may receive college credit for this course by successfully passing the AP Exam in May (a course expectation). Prerequisite: Pre-Calculus or Teacher/Lead Teacher recommendation.

 

AP® Statistics                                                 634      Gr. 11-12         1 credit            Full Year

AP Statistics immerses students with the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students will frequently work on projects involving the hands-on gathering and analysis of real world data. Ideas and computations presented in this course have immediate links and connections with actual events, experiments and research. Computers and calculators will assist students in their deepened work on the concepts involved in statistics. This course prepares students for the AP examination in Statistics, which is an expectation of all students in the class. Prerequisite: Pre-Calculus or Probability & Statistics or Teacher/Lead Teacher recommendation.

Computer Programming

Visual Basic Programming 1 - ACC               155      Gr. 9-12           .5 credit           Half Year

This semester course is recommended for students interested in an introduction to computer programming. Students will expand problem-solving skills by developing algorithms and writing programs in the Microsoft Visual Basic programming language. These skills will be applied to a wide variety of problems.

 

Visual Basic Programming 1 - CCP              153      Gr. 9-12           .5 credit           Half Year

This semester course is recommended for students interested in an introduction to computer programming. Students will develop problem-solving skills by developing algorithms and writing programs in the Microsoft Visual Basic programming language. These skills will be applied to a wide variety of problems. Topics include: variables, data types, selection and repetition structures, strings, menus, multiple forms, graphics, and an introduction to ASP.NET.

 

Visual Basic Programming 2 - ACC              136      Gr. 9-12           .5 credit           Half Year

Through a continuation of Visual Basic Programming 1, students will create Windows and Web applications using Visual Basic. Students will be working on more complex programs to develop their problem solving skills. Topics introduced will include procedures and functions, standard modules, arrays, structures, database concepts and management, file input/output, abstract data types, and further exploration of ASP.NET.

 

Visual Basic Programming 2 - CCP              154      Gr. 9-12           .5 credit           Half Year

This semester course is a continuation of Visual Basic Programming I. Students will create Windows and Web applications using Visual Basic. Students will be working on more complex programs to develop their problem solving skills. Topics introduced will include procedures and functions, standard modules, arrays, structures, database concepts and management, file input/output, abstract data types, and further exploration of ASP.NET.

 

Intro to C++ Programming                             156      Gr. 10-12         .5 credit         Half Year

Students will be introduced to Microsoft Visual C++, an object-oriented programming language. Students taking this course will design algorithms then translate them into C++ programs using various data types, control structures, strings, loops, input/output and functions. This course provides the student with excellent preparation for most technical fields.

 

C++ Programming 2                                       159      Gr. 10-12         .5 credit        Half Year

This semester course is a continuation of Introduction to C++ Programming. Students will further develop their programming abilities in this language. Object-oriented design and concepts will be introduced and explored. Topics will include data file basics, arrays, objects, and classes.

 

Intro to Game Programming                          170      Gr. 10-12         .5 Credit       Half Year

This semester course provides an introduction to game programming. Students learn how to design and develop games using a version of BASIC designed specifically for game development. Students will learn loops, functions, arrays, graphics, image programming, animations, music and sounds as they develop their programming skills. These skills will be applied to the development of several games.

 

Intro to Java                                                    166      Gr. 11-12         .5 Credit       Half Year

This course provides an introduction to Java, an object-oriented programming language. Through an introduction to HTML, Java applets and graphical user interface, students will learn key concepts of Java: objects, primitive data, program statements, class definitions, and encapsulation. Good programming design and style is stressed. Object-oriented programming will be introduced, applied, and reinforced throughout the semester.

 

AP Computer Science                                    167      Gr. 11-12         1 Credit        Full Year

This course follows the curriculum guidelines put forth by the College Board. This is an intense study of computer science. Students use the Java programming language to learn and apply object-orientated concepts. Object-oriented design will be stressed throughout the course. Students will learn the essentials of the language as well as inheritance, classes, arrays, interfaces, and recursion. Case studies will be used. Students are expected to take the AP exam in May.