# Mathematics

New Jersey’s current mathematics standards define the requisite knowledge and skills students need in order to be successful in college and in workforce training programs. In addition to standards for mathematical content, the standards include standards for mathematical practice, which describe habits of mind that enable the development of deep mathematical understanding and expertise. Combined, these emphases ensure that students are prepared for higher level mathematics in high school by stressing not only procedural skill but also conceptual understanding.

At the middle level, each grade has a specific set of focused and coherent standards organized in clusters and domains. These clusters and domains provide the organizational foundation for the current curriculum. In order to achieve these standards, a digital curriculum program is used for classroom instruction and student assignments. Students will benefit from engaging, personalized digital lessons that build important math skills, provide feedback on progress, and offer the ability to complete school work from a computer with Internet access. Homework assignments and other materials are accessed through this online system.

Areas of Focus:

Connecting ratio and rate to whole number multiplication and division and using concepts of ratio and rate to solve problems; completing understanding of division of fraction and extending the notion of number to the system of rational numbers, including negative numbers; writing, interpreting, and using expressions and equations; developing understanding of statistical thinking

Content:

Variables and Expressions, Equivalent Expressions, Equations and Inequalities, Two-Variable Relationships, Multiplying Fractions, Dividing Fractions, Fluency with Decimals, Integers, Rational Numbers, Ratios, Rates, Ratio Reasoning, Area, Surface Area and Volume, Data Displays, Measures of Center and Variation

Areas of Focus:

Developing understanding of and applying proportional relationships; developing understanding of operations with rational numbers and working with expressions and linear equations; 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; drawing inferences about populations based on samples

Content:

Ratios and Rates, Proportional Relationships, Percents, Adding and Subtracting Rational Numbers, Multiplying and Dividing Rational Numbers, Decimals and Percents, Equivalent Expressions, Equations, Inequalities, Angles, Circles, 2- and 3- Dimensional Shapes, Surface Area and Volume, Sampling, Comparing Two Populations, Probability Concepts,  Compound Events

Area of Focus:

The New Jersey Mathematics standards begin developing students’ algebraic thinking as early as Kindergarten. A goal of the middle school mathematics standards are to prepare students for an Algebra 1 course in Grade 9. Some students are able to progress more quickly through their mathematics education. As such, students who have completed Grade 7 Advanced and have mastered the content, skills, and understandings of the standards are prepared for an algebra course in Grade 8. This is accomplished by compressing and integrating Grade 7 standards and some of Grade 8 standards into a single course. As this course features all of the Grade 7 content plus additional content from Grade 8, the pacing is by necessity quicker, and the content more rigorous. Careful consideration will be given to ensure that students are able to handle the quicker pace. Criteria for placement is as follows:

 Year to date Marking Period Average Standardized Algebra Placement Assessment Teacher Recommendation Placement ≥97 38 - 44 N/A Advanced Math ≥97 30 - 37 ≥7 Advanced Math 93 – 96 38 – 44 ≥7 Advanced Math ≥93 ≥45 N/A Advanced Math 90 – 92 ≥48 N/A Advanced Math 90 – 92 40 – 47 ≥7 Administrative Review and Determination

Content:

Adding and Subtracting Rational Numbers, Multiplying and Dividing Rational Numbers, Decimals and Percents, Rational and Irrational Numbers, Integer Exponents, Scientific Notation, Ratios and Rates, Proportional Relationships, Percents , Equivalent Expressions, Equations, Linear Equations in One Variable, Inequalities, Proportional Relationships, Lines, and Linear Equations, Sampling, Comparing Two Populations, Probability Concepts, Compound Events, Angles, Circles, 2- and 3-Dimensional Shapes, Surface Area and Volume, Similarity, Congruence, Reasoning in Geometry, Surface Area and Volume

Areas of Focus:

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; grasping the concept of a function and using functions to describe quantitative relationships; analyzing two- and three-dimensional space and figures using distance, angle, similarity, and congruence, and understanding and applying the Pythagorean Theorem

Content:

Rational and Irrational Numbers, Linear Equations in One Variable,  Integer Exponents, Scientific Notation, Proportional Relationships, Lines, and Linear Equations, Systems of Two Linear Equations, Defining and Comparing Functions, Linear Functions, Congruence, Similarity, Reasoning in Geometry, Using the Pythagorean Theorem, Surface Area and Volume, Scatter Plots, Analyzing Categorical Data