Mathematics

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NJ Mathematics Requirements for Graduation:
 
The New Jersey Mathematics Requirements for High School Graduation is the successful completion of 15 credits, three academic mathematics courses and a passing score on the High School Proficiency Test (Mathematics).
 
The traditional course of study is:
  • Algebra I,
  • Geometry and Algebra II
  • Trigonometry and Calculus (taken in the senior year of study)
Calculators:
Calculator usage is an integral part of the mathematics classroom. It is expected that all students will become proficient in the use of calculators. Classroom sets of calculators are available for students to use during math classes. However, it is strongly recommended that students have their own calculators to be utilized regularly at school and at home. Mathematics teachers can specifically direct students to the appropriate calculator to be obtained.
 
Mathematics Course Offerings:
  • Pre-Algebra
  • Albegra I
  • Algebra II
  • Geometry
  • Advanced Albegra and Trigonometry
  • Calculus with Analytic Geometry
  • Advanced Placement Calculus
  • Scholastic Aptiude Test Preparation - SAT Prep (One Semester)
  • Math Lab III
Math Strategy Lab Mathematics Course Descriptions:
 
Pre-Algebra:
The Pre-Algebra course is designed to bridge the gap between the concrete, number-oriented arithmetic, and the abstract symbol-centered algebra. This course systematically reviews basic math skills and integrates the introduction of variables, equations and mathematical concepts. Topics included in the course include real numbers, solving and graphing equations and inequalities, and problem solving strategies with an emphasis on critical thinking. Pre-Algebra is strongly recommended for students who need to strengthen arithmetic skills before taking Algebra I.
 
Algebra I:
Most of mathematics is communicated through the language of Algebra. This course therefore, lays the foundation for mathematics by emphasizing set theory, axioms, and properties of real number systems. The Algebra I course includes the study of equations and inequalities, polynomials, rational algebraic expressions, graphing, linear equations and radicals. Algebra I makes the transition from the specifics of arithmetic to the generalizations of higher mathematics.
 
Algebra II:
The Algebra II course is a continuation of Algebra I. This course is intended to develop the student's ability to deal with concepts and skills involving the complex number system and its subsets. Emphasis is placed on the study of relations, functions, problem solving, linear, quadratic, and simulataneous equations and their graphs and polynomials. Satisfactory completion of Algebra I is a prerequisite for taking Algebra II.
 
Geometry:
The Geometry course is based on Euclid's elements of deductive reasoning emphasizing the study of plane surfaces. The course develops the study of logical reasoning through geometric figures and concepts in both two and three dimensions. Major areas of focus include area, volume, congruent triangles, polygons, and constructions. Developed also in this course are two column proofs as a method of presenting logical arguments. Satisfactory completion of Algebra I is a prerequisite for Geometry since many Algebra skills will be used to solve problems.
 
Advanced Algebra and Trigonometry:
This course is intended for students who have completed Algebra I, Algebra II, and Geometry. It is geared to the student who plan to extend his education past the secondary level and who needs a knowledge and understanding of advanced concepts of Algebra and Trigonometry prior to studying Calculus. Topics include relations and functions, polynomial functions, the factor and remainder theorems, trigonometric functions, and problem solving skills. Emphasis is placed on the use of modern technology in solving problems by including exercises using calculators and computers.
 
Calculus with Analytic Geometry:
This course is intended for students who are seeking extended knowledge and understanding of Analytic Geometry and Calculus prior to a more in depth study of calculus. Students electing this course must have successfully completed Algebra I, Algebra II, Geometry and Advanced Algebra and Trigonometry. Topics include relations and functions, limits of functions, derivatives and integration.
 
Advanced Placement Calculus:
Advanced Placement Calculus is designed for students who show exceptional abilities in mathematics. This course is equivalent to a first year college level calculus course. Students taking this course qualify to take the College board Advanced Placement Test in Calculus. As a result of passing the Advanced Placement Test, a student could receive college credit or advanced standing depending on their college selection and score. Topics include relations and functions, limits and continuity functions, derivatives, differentiation of algebraic functions, applications of derivatives, integration, and exponential and logarithmic functions.
 
Scholastic Aptitude Test Preparation (SAT Prep):
The SAT Prep course is a class designed to review, practice and refine the skills that are encountered on the mathematics section of the Scholastic Aptitude Test. The course reviews topics from algebra, geometry, probability, statistics and data anaysis.
 
Math Lab:
Math Lab is a course designed to prepare students for the NJ HSPA. It teaches them the mathematics skills required by the State, for high school graduation. Math Lab emphasizes problem solving and critical thinking skills. Students will learn numerical operations, patterns and functions, geometric applications, basic algebraic concepts, data analysis, and test-taking tips.