This Common Core Standards-based course is designed to encourage student exploration and discovery while expanding on elementary mathematics. Many of the activities are based on the materials from the Connected Math Program, and supported by additional resources to promote student engagement in mathematical thinking. Instructional practices, activities and math assignments are designed to enable students to establish deeper understanding of necessary fundamentals, thereby gaining greater confidence and experience in applying these fundamentals to solve problems. Aligned to the Common Core State Standards and the New Jersey Core Curriculum Content Standards, the content emphasizes the application of the mathematical concepts and problem solving strategies to real world situations. Students will develop the ability to communicate mathematically (in both oral and written forms) in the areas of basic number theory and operations, algebra and functional relationships, geometry and spatial sense, probability and statistics, data analysis and introductory algebraic concepts. This program is designed to meet the needs of a range of academic levels and learning styles, with instruction differentiated accordingly.
Advanced Math Seven
Pre-requisites: Advanced Proficient Scores on previous NJASK Assessments, AND other standardized math assessment scores as required
This course is designed for students to accelerate through all of the regular Math Seven course content, and to gain exposure to more advanced levels of algebraic content. Students will engage in the same or similar activities as used the regular grade seven course, but with more rigorous, challenging follow up, and at a faster pace, to promote greater independent mastery of advanced mathematical reasoning. Thus, students will be challenged to extend their knowledge of mathematical principles utilizing graphical, spatial, logical and algebraic modeling skills in order to infer, differentiate and apply mathematical relationships. The pace of the course will assume mastery with numerical computational fluency, as well as proficiency in applying computational rules to expressions and equations.
Pre-requisites: Math Seven OR Advanced Math Seven.
This course is a continuation of the Common Core Standards-based curriculum focused on numerical systems, algebra and functions, geometry, and data and probability. Students will be exposed to more challenging material and more sophisticated instruction designed to promote increasingly independent mastery of mathematical relationships and fundamental algebraic skills, including modeling situations and manipulating linear equations.
Advanced Math Eight
Pre-requisites: Advanced Math Seven, OR Math Seven AND teacher recommendation.
This course is designed for students to continue to accelerate through the Math Eight content. Students will be expected to complete more rigorous material at a more challenging pace, with a greater independent mastery of higher levels of mathematical study.
Honors Algebra I
Grade 7: District determined benchmark scores on previous assessment measures, including NJASK, MAP, and (CART) Clearview Algebra Readiness Test
Grade 8: Advanced Math Seven or Honors Algebra one AND teacher recommendation.
Note: Computational fluency and mathematical sophistication on par with 9th grade are assumed, as is a high degree of academic independence.
Algebra 1 is pivotal as the foundation of all academic high school courses. This course is the same as the high school Honors Algebra 1 course, follows the same rigorous pace and curriculum, and includes the same Midterm and Final Exams as well as the same 60%-30%-10% grading guideline percentages for Major Assessments, Minor Assessments, and HW (see HS Program of Studies). It is designed for the most mathematically able middle school students who have demonstrated a solid foundation in computation as well as knowledge and understanding of the real number system. Topics include: order of operations, use of variables and expressions, factoring, solving and graphing linear equations and inequalities, operations with polynomials and exponents, systems of equations and inequalities, an introduction to mathematical relationships, domain and range, and linear and quadratic functions and their inverses. Word problems and real life contexts are used to connect tables, equations, graphs and problem solving using algebraic reasoning.
Grade Level: 8
Pre-requisites: Honors Algebra I AND teacher recommendation.
This course is the same as the high school Honors Geometry course, follows the same rigorous pace and curriculum, and includes the same Midterm and Final Exams as well as the same 60%-30%-10% grading guideline percentages for Major Assessments, Minor Assessments, and HW (see HS Program of Studies). It is designed to continue the Honors-level high school program for the most mathematically able middle school students who have demonstrated a solid foundation in computation and algebraic understanding. The content focuses on geometric relationships among points, lines, planes, and angles, such as bisection; parallels and perpendiculars; congruence and similarity; chord, secant, tangent and arc connections in circles; applications and proofs with the Pythagorean Theorem; three dimensional figures; area, surface area and volume; and an introduction to trigonometry. Students use and justify mathematical reasoning by developing informal and formal proofs.