The mission of the Mathematics Department is threefold. The first goal is to develop the conceptual understanding of mathematical principles. The second goal is to develop the procedural skills necessary to carry out mathematical operations involving these principles. The third goal is to develop a variety of problem solving abilities that can be applied to a wide variety of situations. Calculators will be used in these courses as a problem solving tool so that students become proficient and selective in their use, but not become dependent on them. These courses are aligned to the New Jersey Student Learning Standards in Mathematics. Students will be reasoning and modeling in the following curriculum content areas of Number Sense, Concepts, and Applications; Spatial Sense and Geometry; Data Analysis; Probability; Statistics, and Discrete Mathematics; and Patterns, Functions, and Algebra.
MATHEMATICS 6: The Mathematics 6 course focuses on four critical areas: 1) connecting ratio and rate to whole number multiplication and division and using concepts of ratio and rate to solve problems; 2) completing understanding of division of fractions and extending the notion of number to the system of rational numbers, which includes negative numbers; 3) writing, interpreting, and using expressions and equations; and 4) developing understanding of statistical thinking. This course is also designed to help students develop the power of logical analysis and discover a logical mathematical system to analyze, make connections, and solve problems both inductively and deductively. Reading and writing in conjunction with problem solving are emphasized throughout the course. The curriculum for Mathematics 6 is based on the New Jersey Student Learning Standards for 6th grade.
MATHEMATICS 6 HONORS: Students in this course have demonstrated a mastery of previous material that permits them to explore extensions to concepts, more difficult problems and abstract generalizations to the concepts explained above in the Mathematics 6 course. The curriculum for Mathematics 6 Honors is based on the New Jersey Student Learning Standards for 6th grade.
PRE-ALGEBRA APPLICATIONS 7: The Pre-Algebra Applications course focuses on four critical areas: (1) developing understanding of and applying proportional relationships; (2) develop understanding of operations with rational numbers and working with expressions and linear equations; (3) solving problems involving scale drawings and informal geometric constructions, and working with two - and three- dimensional shapes to solve problems involving area, surface area, and volume; and (4) drawing inferences about populations based on samples. This course is also designed to help students develop the power of logical analysis and discover a logical mathematical system to analyze, make connections, and solve problems both inductively and deductively. Reading and writing in conjunction with problem solving are emphasized throughout the course. The curriculum for Pre-Algebra Applications is based on the New Jersey Student Learning Standards for 7th grade.
PRE-ALGEBRA HONORS 7: The Pre-Algebra Honors 7 course is designed to be a discovery based course. In addition to the areas mentioned above in Pre-Algebra Applications, students master fundamental linear algebra concepts, make connections with geometry, and form a solid foundation to prepare the students for a high school level Algebra 1 Honors course. Students in this course have demonstrated a mastery of previous material that will permit them to explore extensions to concepts, more difficult problems, and abstract generalizations. The curriculum for Pre-Algebra Honors 7 is based on the New Jersey Student Learning Standards for 7th and 8th grade.
ALGEBRA APPLICATIONS 8: The Algebra Applications course focuses on three critical areas: (1) formulating and reasoning about expressions and equations, including modeling an association in bivariate data with a linear equation, and solving linear equations and systems of linear equations; (2) grasping the concept of a function and using functions to describe quantitative relationships; (3) analyzing two - and three - dimensional space and figures using distance, angle, similarity, and congruence, and understanding and applying the Pythagorean Theorem. This course is also designed to help students develop the power of logical analysis and discover a logical mathematical system to analyze, make connections, and solve problems both inductively and deductively. Reading and writing in conjunction with problem solving are emphasized throughout the course. The curriculum for Algebra Applications is based on the New Jersey Student Learning Standards for 8th grade.
ALGEBRA CONCEPTS 8: The Algebra Concepts course is designed for students who need additional work to master the concepts of Pre-Algebra Applications in order to be successful learning the concepts mentioned above in Algebra Applications. The curriculum for Algebra Concepts is based on the New Jersey Student Learning Standards for 8th grade.
ALGEBRA 1 HONORS 8: The Algebra 1 Honors 8 course is the first rigorous course in the topics and techniques of algebra. This course is designed for the advanced student who has demonstrated an excellent understanding of the topics in Pre-Algebra Honors. The student learns to manipulate polynomials, algebraic fractions, and irrational algebraic expressions. In addition, the student learns to solve and deeply understand linear equations, quadratic equations, rational equations, and systems of equations. This course is also designed to help students to continue to develop the power of logical analysis and discover a logical mathematical system to analyze, make connections, and solve problems both inductively and deductively. Reading and writing in conjunction with problem solving are emphasized throughout the course. The curriculum for Algebra 1 Honors 8 is based on the New Jersey Student Learning Standards for High School assigned to Algebra 1 as noted in the NJ State Curriculum.
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