MATHEMATICS CORE
MATHEMATICS CORE
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GRADUATION REQUIREMENT: The New Jersey Department of Education requires all students to complete at least 15 credits in mathematics, which must include Algebra I (or content equivalent), Geometry (or content equivalent) and a third year of math that builds upon the concepts and skills of algebra and geometry. Four years (20 credits) are recommended for a stronger college preparatory program. All credits earned for math core courses will count toward the graduation requirement.
NOTE: In accordance with students’ IEPs, all core academic courses required for graduation are offered in the Resource Room environment, and the curriculum is scaffolded to support students’ specific learning goals.
ALGEBRA IA
ALGEBRA IA
Full Year | 5 credits | Grade Level: 9
Prerequisite(s): IEP recommendation only
This course is year one of a two-year continuum and is followed by Algebra IB. Therefore, students must successfully complete both parts to meet the graduation requirement for Algebra I. The course gives students a fundamental understanding of the algebraic structure of the real number system. A review of arithmetic is integrated with the introduction of variables, expressions, equations and mathematical properties. It applies these basic properties to the study of equations, graphing, and polynomials at a level geared towards individual learning needs.
ALGEBRA IB
ALGEBRA IB
Full Year | 5 credits | Grade Level: 10
Prerequisite(s): Algebra 1A; IEP recommendation
This course is year two of a two-year continuum. Therefore, students must successfully complete both parts to meet the graduation requirement for Algebra 1. The course gives students further opportunities to enhance their understanding of the algebraic structure of the real number system, as well as an in-depth understanding of concepts introduced in Algebra IA. Algebra IB builds upon concepts studied in the year 1 curriculum, but broadens the level of knowledge and rigor, and requires more focus on application and problem-solving. It applies these basic properties to the study of equations, graphing, and polynomials at a level geared towards individual learning needs.
ALGEBRA I
ALGEBRA I
Full Year | 5 credits | Grade Level: 9, 10
Prerequisite(s): Math 8 and basic level criteria achieved on placement rubric
This course counts toward the math requirement for graduation. This course introduces the language of sets and the algebraic structure of the real number system. Students are initially acquainted with the basic properties of this algebraic structure and apply this to the study of equations, inequalities and polynomials. The course will focus students on comprehension of relations, and functions as well as graphing of equations, inequalities, relations and functions. There is some discussion of the properties of exponents and radicals and their application to quadratic equations. Concepts associated with probability are introduced.
ALGEBRA I COLLEGE PREP
ALGEBRA I COLLEGE PREP
Full Year | 5 credits | Grade Level: 9, 10
Prerequisite(s): Math 8 and CP level criteria achieved on placement rubric
This course counts toward the math requirement for graduation. This course provides focus on the language of sets and the algebraic structure of the real number system. Students become well-acquainted with the properties of this algebraic structure and apply this understanding to their study of equations, inequalities and polynomials. The course focuses on student comprehension of relations and functions. Graphing of equations, inequalities, relations and functions receive significant attention. There is also discussion of the properties of exponents and radicals as well as their application to quadratic equations. Students are also introduced to basic probability principles.
ALGEBRA I HONORS
ALGEBRA I HONORS
Full Year | 5 credits | Grade Level: 9
Prerequisite(s): Math 8 and honors criteria
This course counts toward the math requirement for graduation. The study of Algebra I Honors establishes comprehension of the real number system after an introduction to the general concept of sets, together with the basic properties and operations of arithmetic. There is extensive application of deductive reasoning in the proving of theorems. The course stresses the comprehension of relations and functions as defined by equations and inequalities. Emphasis is placed on the graphing of relations and functions, especially linear and quadratic. Polynomials, including their factoring, and the solution of algebraic problems involving linear functions are introduced. Finally, the concept of probability is introduced.
GEOMETRY
GEOMETRY
Full Year | 5 credits | Grade Level: 10, 11
Prerequisite(s): Algebra I or Algebra I CP
This course counts toward the math requirement for graduation. The focus of this course is on giving students a thorough understanding of specific geometric topics at the appropriate level of difficulty. Emphasis is on understanding and exploring real-world applications and discovering concepts through hands-on and activity-based lessons.
GEOMETRY COLLEGE PREP
GEOMETRY COLLEGE PREP
Full Year | 5 credits | Grade Level: 9, 10, 11
Prerequisite(s): Algebra I CP or Algebra I with an A+ or A test/quiz average OR the content equivalent + Teacher Recommendation
This course counts toward the math requirement for graduation. This course focuses on the comprehension and application of theories concerning congruence and similarity of straight-line figures and circles (plane geometry). Topics include: angles, parallel and perpendicular lines, congruent triangles, applications of right triangles, elementary trigonometry and characteristics of quadrilaterals and other polygons. There are extensions into the third dimension (solid geometry). Comprehension and application of deductive reasoning (proofs) is developed. Students are asked to apply geometry concepts, algebraic methods and reasoning to do problem-solving.
GEOMETRY HONORS
GEOMETRY HONORS
Full Year | 5 credits | Grade Level: 9, 10
Prerequisite(s): Algebra I Honors with a B or higher test/quiz average OR Algebra I CP with an A+ or A test/quiz average or the content equivalent + Teacher Recommendation
This course counts toward the math requirement for graduation. This course is presented as an integrated program of two-dimensional (plane) and three-dimensional (space) geometry. The course relates algebra and geometry by concurrently developing analytical and deductive methods. It emphasizes proofs and the application of the Pythagorean Theorem. Constructions, concepts of equality, congruence and similarity of sets of points, lines and planes are developed and applied to the discussion of the properties of geometry figures.
ALGEBRA II
ALGEBRA II
Full Year | 5 credits | Grade Level: 11, 12
Prerequisite(s): Algebra I and Geometry
This course counts toward the math requirement for graduation. Building on Algebra I, this course expands the students’ knowledge bases to include the study of polynomial, rational, radical and logarithmic functions. Deeper analysis and application of quadratic functions are also emphasized. As new functions are explored, applications of these functions to real-life situations are used to demonstrate their usefulness. An introduction to right-triangle trigonometry and the unit circle is also provided.
ALGEBRA II COLLEGE PREP
ALGEBRA II COLLEGE PREP
Full Year | 5 credits | Grade Level: 10, 11, 12
Prerequisite(s): Geometry CP or Geometry with an A+ or A test/quiz average + Teacher Recommendation
This course counts toward the math requirement for graduation. This course covers quadratic functions, inequalities and polynomial functions. The number system is extended to include irrational and complex numbers. There is exposure to advanced functions such as exponential and logarithmic relations. This course emphasizes applications, and technology is integrated as an instructional tool.
ALGEBRA II AND TRIGONOMETRY HONORS
ALGEBRA II AND TRIGONOMETRY HONORS
Full Year | 5 credits | Grade Level: 10, 11
Prerequisite(s): Geometry Honors with B or higher test/quiz average or Geometry CP with an A+ or A test/quiz average + Teacher Recommendation
This course counts toward the math requirement for graduation. This course continues the study of the structure of the real number system and all its properties. It expands the study of relations and functions to include inequalities, absolute value functions, and composition of functions as well as inverse, exponential, logarithmic, trigonometric and polynomial functions including the binomial theorem. This course extensively studies graphs of the above-mentioned functions and solutions of polynomial equations, and it extends the number system to include complex numbers. Trigonometric concepts are introduced – right triangle trigonometry, trigonometric identities, graphs of trigonometric functions and applications of trigonometry. The instruction year will close with an introduction to probability and statistics.
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