n order to meet State and District requirements, all students must successfully complete three years of mathematics including algebra 1 and geometry or the content equivalent * and a third year of math that builds on the concepts and skills of algebra and geometry and prepares students for college and 21st century careers.
Math courses successfully completed prior to entering high school, may satisfy course prerequisites but do not count toward high school requirements for graduation. Pre-Algebra taken in grade 9 will not count as a year of mathematics toward the graduation requirement.
The mathematics curriculum is designed for all students to meet the mathematics Common Core State Standards. New entrants, ESL and Bilingual students will be given diagnostic tests for appropriate placement. Placements shall be reviewed/approved by the district Mathematics Supervisor and/or Counseling Department. Student performance, grades and teacher recommendation will be used to determine the best placement for a student.
Courses
PRE-ALGEBRA FOR NEWCOMERS (will not count as a graduation requirement.)
Grades: 9, 10, 11, 12
10 Credits-Full Year (Everyday)
Prerequisite(s): None.
This is a course that follows a structured scope and sequence of topics identified by the Common Core State Standards and the National Council of Mathematics Teachers; introducing, reinforcing and extending topics needed for success in Algebra I and Geometry. Integers, equations, inequalities, rational numbers, proportions, functions, geometry and measurement, data analysis, probability and transformations are topics of focus in this course along with problem solving. Students may use computer software and graphing calculators to enhance their mathematical understanding and problem solving capabilities. A designated portion of weekly lessons will be dedicated to developing and reinforcing those mathematical cluster skills that have been identified on the High School Proficiency Assessment. This course meets everyday.
ALGEBRA IA/IB
Grades: 9, 10
10 Credits - Full Year (Everyday)
Prerequisite(s): Teacher recommendation.
Borderline students, those whose NJASK8 scores were within 20 points of the passing grade, may be considered candidates for this course. This is a full-year course that follows a structured scope and sequence; introducing, reinforcing and extending topics identified by Common Core State Standards and the National Council of Mathematics Teachers. This course may include the use of labs, group explorations, calculators, and computer software to study real world problem solving techniques and presentation strategies. Students will model and solve problems that involve varying quantities by using variables, expressions, equations, and inequalities. They will operate on matrices in real world Applications, and use Probability and Statistics to describe data sets, model situations, and support inferences. A designated portion of weekly lessons will be dedicated to developing and reinforcing those mathematical cluster skills that have been identified on the High School Proficiency Assessment.
ALGEBRA I
Grades: 9, 10, 11, 12
5 Credits – Full Year
Prerequisite(s): A projected passing grade in Pre-Algebra, a proficient NJASK8 score and teacher recommendation.
Student should exhibit a satisfactory:
• Understanding of Pre-algebra skills and concepts
• Ability to grasp and understand new concepts
• Ability to apply new concepts
• Ability to explain answers in written and oral format
• Positive attitude toward class work, homework and mathematical problem solving.
Borderline students, those whose 8th grade NJASK scores were within 20 points of the 200 needed for passing, may be considered candidates for this course. This course follows a structured scope and sequence, introducing, reinforcing and extending topics identified by the Common Core State Standards and the National Council of Mathematics Teachers. This course may include the use of labs, group explorations, calculators and computer software to study real world problem solving techniques and presentation strategies. Students will model and solve problems that involve varying quantities by using variables, expressions, equations and inequalities. They will operate on matrices in real world Applications, and use Probability and Statistics to describe data sets, model situations and support inferences. A portion of weekly lessons will be dedicated to reinforcing those mathematical cluster skills that have been identified on the High School Proficiency Assessment.
HONORS ALGEBRA 1/HONORS BILINGUAL ALGEBRA 1
Grade: 9
5 Credits – Full Year
Prerequisite(s): Projected passing grade of “B” or higher in 8th Grade Math, a score of 200 or above on the NJASK8 and teacher recommendation.
This course extends and deepens the topics of the regular Algebra I course.
GEOMETRY
Grades: 9, 10, 11, 12
5 Credits – Full Year
Prerequisite(s): Successful completion of Algebra I.
This course follows a structured scope and sequence, introducing, reinforcing and extending topics identified by the Common Core State Standards and the National Council of Mathematics teachers. This course includes the use of labs, group explorations, calculators, and computer software to study real world problem solving techniques and presentation strategies. Students will model and solve geometric problems that involve the study of transformational geometry, congruence and similarity of closed, plane figures, parallel and perpendicular lines and related angles, circles, coordinate geometry, right triangle trigonometry, fractals, matrices and sequences. Students will complete formal and informal proofs of geometric theorems as well as make geometric constructions. A portion of weekly lessons will be dedicated to reinforcing those mathematical cluster skills that have been identified on the High School Proficiency Assessment and the Preliminary Scholastic Aptitude Test.
HONORS GEOMETRY
Grades: 9, 10
5 Credits – Full Year
Prerequisite(s): Successful completion of Algebra I with a “B” or higher and teacher recommendation.
This course extends and deepens the topics of the regular Geometry course.
ALGEBRA II
Grades: 10, 11, 12
5 Credits – Full Year
Prerequisite(s): Successful completion of Algebra I.
This course follows a structured scope and sequence, introducing, reinforcing and extending topics identified by the Common Core State Standards and the National Council of Mathematics teachers. This course includes the use of labs, group explorations, calculators, and computer software to study real world problem solving techniques and presentation strategies. Students will model and solve algebraic problems that involve the study of linear and quadratic functions, the algebraic and geometric descriptions of inequalities, and real and complex number systems. A portion of weekly lessons will be dedicated to reinforcing those mathematical skills that are needed for the Preliminary Scholastic Aptitude Test.
HONORS ALGEBRA II
Grades: 9, 10, 11
5 Credits – Full Year
Prerequisite(s): Successful completion of Algebra I with a “B” or higher and teacher recommendation.
This course extends and deepens the topics of the regular Algebra II course.
ADVANCED TOPICS IN MATHEMATICS
Grades: 11, 12
5 Credits – Full Year
Prerequisite(s): Successful completion of Geometry and Algebra II.
This course follows a structured scope and sequence, introducing, reinforcing and extending topics identified by the Common Core State Standards and National Council of Mathematics Teachers, while focusing on authentic real world applications. This course includes the use of group exploration, calculators, and computer technology to study real world problem solving techniques and presentation strategies. Students will model and solve problems that involve the study of Set Theory, Logic, Number Representation and Calculation, Number Theory and Real Number System, Algebra Concepts, Consumer Mathematics and Financial Management, Measurement and Geometry, Counting Methods and Probability Theory, and Statistics and Mathematical Systems. A portion of weekly lessons will be dedicated to reinforcing those mathematical cluster skills that have been identified on the High School Proficiency Assessment and the Scholastic Aptitude Test.
PRE-CALCULUS
Grades: 11, 12
5 Credits — Full Year
Prerequisite(s): Successful completion of Geometry and Algebra 2 with grades of “B” or higher and teacher recommendation and/or mathematics supervisor’s approval.
This course follows a structured scope and sequence, introducing, reinforcing and extending topics identified by the Common Core State Standards and the National Council of Mathematics Teachers. This course includes the use of labs, group explorations, calculators, and computer software to study real world problem solving techniques and presentation strategies. Students will model and solve mathematical problems that involve the study of 3rd and 4th degree equations describing cubic and quadratic functions, exponential, logarithmic and trigonometric functions. A portion of weekly lessons will be dedicated to reinforcing those mathematical skills that are needed for the Scholastic Aptitude Test.
CALCULUS
Grades: 11, 12
5 Credits — Full Year
Prerequisite(s): Successful completion of Pre-Calculus with a grade of “C” or higher.
This course follows a structured scope and sequence, introducing, reinforcing and extending topics identified by the College Board as necessary college course curriculum. This course includes the use of labs, group explorations and calculators to study real world problem solving techniques and presentation strategies. Students will model and solve mathematical problems that involve the study of Differential and Integral Calculus. Such topics include limits, the difference quotient, continuity, derivatives, the product, quotient and chain rules, implicit differentiation, related rates, extreme on an interval, Rolle’s Theorem, the Mean Value Theorem, concavity, antiderivatives, Riemann Sums, and indefinite integrals.
ADVANCED PLACEMENT CALCULUS AB
Grades: 11, 12
5 Credits — Full Year
Prerequisite(s): Successful completion of Pre-Calculus and teacher recommendation.
This is an accelerated, rigorous, full-year course that strictly follows the course guidelines of the College Board. The AP Calculus curriculum includes the use of labs, group explorations and calculators to study real world problem solving techniques and presentation strategies. Like the standard calculus course, students will model and solve mathematical problems that involve the study of Differential and Integral Calculus. This course covers, in even greater depth, the topics that are included in the standard calculus course. Additional topics to be studied include definite integrals, integration and differentiation of logarithmic and exponential functions, growth and decay with differential equations, and volumes of revolution. This course is designed to challenge and prepare high achieving math students for the Advanced Placement examination that is administered in May. Colleges may offer students advanced standing or credit for one semester, or more, of college calculus based on his/her performance on this test.
ADVANCED PLACEMENT CALCULUS BC
Grades: 11, 12
5 Credits — Full Year
Prerequisite(s): Successful completion of AP Calculus AB and teacher recommendation and/or mathematics supervisor’s approval.
Calculus BC expands upon the curriculum of AP Calculus AB. This is an accelerated, rigorous, full-year course that strictly follows the course guidelines of the College Board. This course covers, in even greater depth, the topics that are included in the standard calculus course. Additional topics to be studied include definite integrals, integration and differentiation of logarithmic and exponential functions, growth and decay with differential equations, and volumes of revolution. This course is designed to challenge and prepare high achieving math students for the Advanced Placement examination that is administered in May.
HSPA REVIEW -MATHEMATICS
Grade: 11
2.5 Credits - 1 Semester
Prerequisite(s): Recommendation of teacher, “D” or “F” in previous math class and /or partially proficient on standardized tests.
Students are identified for this course by their demonstrated weakness in mathematics skills. They will be required to take this course in the fall of their junior year. This course will provide comprehensive review and practice of those skills that are included in the Mathematics Section of the High School Proficiency Assessment. The four skill cluster areas are: (1) Number Sense, Concepts and Applications, (2) Spatial Sense and Geometry, (3) Data Analysis, Probability, Statistics and Discrete Mathematics, and (4) Patterns, Functions and Algebra. Emphasis will be placed on problem solving and responding to open-ended questions with appropriate written responses.
This course DOES NOT meet the mathematics requirement for graduation.
ALTERNATIVE HIGH SCHOOL ASSESSMENT (AHSA)
Grade: 12
2.5 Credits – 1 semester
Prerequisite(s): Student is scheduled to graduate in the current year and has not passed/taken the HSPA.
This course is required for students who have not passed the HSPA. The emphasis will be on preparing for and completing Performance Assessment Tasks in four main math cluster areas: (1) Number Sense, Concepts and Applications, (2) Spatial Sense and Geometry, (3) Data Analysis, Probability, Statistics and Discrete Mathematics, and (4) Patterns, Functions and Algebra. To earn credit for this course, students are required to obtain passing score on the AHSA and/or HSPA.
This course DOES NOT meet the mathematics requirement for graduation.