Course InfoRmation

Seventh Grade Mathematics

The emphasis in this seventh-grade course is on algebraic thinking and on extending the understanding of the real number system to include integers and rational numbers. Students will develop algebraic thinking by analyzing patterns to discover relationships and by representing information through symbolic, graphical, and tabular methods.  Students will investigate applications of number theory and will refine skills in adding, subtracting, multiplying, and dividing integers. Students will solve applied problems by using one-step equations, percentages, and proportional reasoning.  Students will develop spatial sense and the ability to use geometric properties, relationships, and measurements to model, describe, and analyze facts.  Students will perform experiments, collect and organize data, and analyze results during the study of discrete mathematics.

Eighth Grade Mathematics

Math 8 is designed to address the New Jersey Student Learning Standards for 8th-grade Mathematics.  Concepts are organized in units that align with the following major domains and provide focus on key ideas.

• The Number System - rational and irrational numbers

• Expressions and Equations

  • • Work with radicals and integer exponents

    • Understand the connections between proportional relationships, lines, and linear equations

    • Analyze and solve linear equations and pairs of simultaneous linear equations

• Functions - define, evaluate, and compare functions and use functions to model relationships between quantities

• Geometry

  • • Understand congruence and similarity using physical models, transparencies, etc.

    • Understand and apply the Pythagorean Theorem

    • Solve real-world and mathematical problems involving the volume of cylinders, cones, and spheres

• Statistics and Probability - investigate patterns of association in bivariate data

Eighth Grade Algebra

This comprehensive course aims to provide students with a strong foundation in Algebra, empowering them to understand and apply mathematical principles to real-world scenarios. Throughout this course, students will explore various units, each focusing on essential algebraic concepts and problem-solving techniques.

Students dive into the world of functions and graphs, discovering how to model and interpret real-world situations using algebraic expressions. They will explore how functions represent relationships between variables and learn to construct graphs to visualize these relationships. The emphasis will be on practical applications to demonstrate the relevance of Algebra in everyday life. Building on their understanding of functions, students delve into linear functions and explore their properties. They learn how to write equations for linear models that represent linear relationships between variables. Students then focus on linear equations and inequalities, which are fundamental tools for solving real-world problems. Students learn various techniques to solve linear equations and inequalities, applying them to diverse scenarios. Emphasis will be placed on understanding the solutions in the context of the real world. This evolves into systems of linear equations and inequalities. Students learn different methods to solve these systems and interpret solutions in terms of the real-world context. Students then explore quadratic functions and delve into their unique features and characteristics. They will analyze quadratic graphs and explore the behavior of quadratic functions with and without transformations. Various forms of quadratic equations will also be covered. Students learn multiple methods to solve quadratic equations, including factoring, completing the square, and using the Quadratic Formula. Real-world applications will reinforce the importance of these problem-solving skills. Students also explore absolute value functions, piecewise-defined and step functions, and exponential growth and decay functions. Students previously used statistics to describe and draw inferences about one or two populations of data, and students will approximate data by using a normal distribution.

By the end of Algebra I, students will have developed a robust understanding of algebraic concepts and the ability to apply them in diverse real-world situations. They will be well-prepared to continue their mathematical journey with confidence and valuable problem-solving skills that extend beyond the realm of mathematics.