# Mathematics

##### Mathematics

The sixth grade math program comprises study skills, numeration and number theory, whole number computation, fractions and mixed numbers, decimals, measurement, time and money, geometry, algebra, probability, statistics, ratio, proportion and percent. The objective of this course is to review, reinforce, and extend student knowledge, understanding and ability in mathematics as standards established by both the National Council of Teachers of Mathematics and the New Jersey State Board of Education. The course content aligns with the test specifications for the sixth grade New Jersey Assessment of Skills and Knowledge (NJASK). Developing thinking and problem solving strategies is an integral part of the course. Students will use manipulatives, calculators, and computers whenever appropriate. Students will also be required to write about mathematics to help develop logical reasoning.

The seventh grade math program is comprised of introductory algebra, including but not limited to, patterns, positive and negative integers, and graphing. Similarity, ratio, proportion, percentage, number theory, three dimensional geometry, and probability are also integrated into the total program of study. The program provides students with an investigative, problem solving approach to learning mathematics. The focus of this course is to acquire understanding of important concepts, skills, procedures, as well as develop mathematical thinking and reasoning through student centered explorations. The course integrates the standards established by both the National Council of Teachers of Mathematics and the New Jersey State Board of Education. The course content aligns with the test specifications for the seventh grade New Jersey Assessment of Skills and Knowledge (NJASK). Throughout the course, emphasis is placed on students’ discussions, conjectures, and learning to communicate their ideas orally and in writing using explanations, graphs, tables, and equations. Students will use manipulatives, calculators, and computers whenever appropriate.

The seventh grade advanced math program places emphasis on introductory algebra through an in-depth investigative, problem solving approach to learning mathematics. Algebraic patterns, algebraic equations, integers, and coordinate graphing are a continuing focus throughout the course. Also integrated in this course are mathematics topics such as similarity, ratio, proportion, percentage, number theory, three dimensional geometry, and probability. The program provides students with the opportunity to acquire understanding of important concepts, skills, and procedures. The focus of this course is to develop mathematical thinking and reasoning through student centered explorations. The course integrates the standards established by both the National Council of Teachers of Mathematics and the New Jersey State Board of Education. The course content aligns with the test specifications for the seventh grade New Jersey Assessment of Skills and Knowledge (NJASK). Throughout the course, emphasis is placed on students’ discussions and conjectures. Students will be expected to communicate their ideas orally and in writing using explanations, graphs, tables, and equations. Students will utilize manipulatives, calculators, and computers whenever appropriate.

The 8th grade Pre-Algebra program is an integrated curriculum of a standards based mathematics program and algebraic concepts. The course content aligns with the test specifications for the eighth grade New Jersey Assessment of Skills and Knowledge (NJASK).This complete mathematics program will help students develop sound habits of mind and understanding of important mathematical concepts, skills, and procedures. Differing ways of thinking and reasoning in linear relationships, linear and inverse variation, the Pythagorean Theorem and related geometry, exponential relationships, symmetry and transformations, and algebraic problems will be explored. Students will develop the mathematical knowledge, understanding, and skills along with an awareness of and appreciation for the rich connections among mathematical strands and between mathematics and other disciplines. The curriculum incorporates algebraic concepts, skills, critical thinking and writing into a standards-based program that will prepare students for higher-level mathematics skill development.

This course is offered to those students who demonstrate an innate aptitude in mathematics. Placement in this class is dependent upon established criteria. The following topics are addressed and applied to problem solving situations: the language and tools of algebra, solving linear equations, functions and patterns, analyzing linear equations, solving systems of linear equations, solving linear inequalities, exponential functions, polynomials, factoring, radical expressions and triangles, rational expressions and equations, and quadratic functions. An inquiry-oriented atmosphere which encourages more abstract ways of thinking will prevail in the classroom. Students will explore data relationships numerically, graphically, and algebraically. Graphing calculators will be used in this course where applicable. Emphasis in NJASK skills and strategies are also incorporated into the course.