Middle school students experience an important crossroads in their mathematical education. In Rockwood, we believe a strong foundation in math education includes building upon prior knowledge and developing a deep, conceptual understanding of essential, grade-level content. Math is more about doing and thinking - rather than following computational or algorithmic-based procedures. The focus is on how to analyze, evaluate and critically think about the use of mathematics in problem solving.

### Middle School Course Sequence

Math 6 provides the foundation for middle school mathematics. Instruction will focus on six critical areas: (1) completing understanding of division of fractions and extending the system of rational numbers to include negative numbers; (2) connecting ratio and rate to whole number multiplication and division and using concepts of ratio and rate to solve problems; (3) writing and evaluating algebraic expressions; (4) writing and solving one-step equation and inequalities; (5) developing understanding of relationships among shapes to determine area, surface area, and volume and (6) developing understanding of statistical thinking by analyzing and displaying data distributions.

Integrated Math 6/7 is an accelerated course that merges Math 6 and part of Math 7 skills and concepts. Instruction will focus on eight critical areas: (1) completing understanding of division of fractions and extending the system of rational numbers to include negative numbers; (2) develop an understanding of absolute value to solve problems involving integers; (3) connecting ratio and rate to whole number multiplication and division and using concepts of ratio and rate to solve problems; (4) developing understanding of and applying proportional relationships; (5) writing and evaluating algebraic expressions; (6) writing and solving one-step inequalities and multi-step equations; (7) developing understanding of relationships among shapes to determine area, surface area, and volume and (8) developing understanding of statistical thinking by analyzing and displaying data distributions.

Math 7 builds on the skills and concepts developed in Math 6. Instructional time will focus on six critical areas: (1) developing understanding of and applying proportional relationships; (2) develop an understanding of absolute value to solve problems involving integers; (3) developing understanding of operations with rational numbers and working with expressions and linear equations; (4) working with two- and three-dimensional shapes to solve problems involving scale drawings, area, surface area, and volume; (5) drawing inferences about populations based on samples and (6) developing an understanding of simple probability models and using them to make predictions.

Integrated Math 7/8 is an accelerated course that merges Math 8 and part of Math 7 skills and concepts. Instructional time will focus on nine 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) working with two- and three-dimensional shapes to solve problems involving scale drawings, area, surface area, and volume; (4) analyzing two- and three-dimensional space and figures using distance, angle, similarity, and congruence, and understanding and applying the Pythagorean Theorem; (5) solving problems involving scale drawings and working with two- and three-dimensional shapes to solve problems involving area, surface area, and volume; (6) drawing inferences about populations based on samples; (7) developing an understanding of simple probability models and using them to make predictions; (8) extending the number system to include irrational numbers and (9) develop an understanding of exponential properties to simplify expressions and apply them to scientific notation.

Math 8 is designed to provide a foundation for the development of skills necessary for Algebra I. Instructional time will focus on five critical areas: (1) formulating and reasoning about equations, including modeling an association in bivariate data with a linear equation, inequalities 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; (4) extending the number system to include irrational numbers and (5) develop an understanding of exponential properties to simplify expressions and apply them to scientific notation.

Algebra I explores many examples of functions, compares key characteristics of these functions, and translates between graphical, numerical and symbolic representations of them. Students will create and solve equations and inequalities, and systems of equations involving linear and quadratic expressions, extend the laws of exponents to rational exponents and compare/contrast linear and exponential functions. Students will use regression techniques to describe linear relationships between quantities and use technology as an instructional tool throughout the course as they explore and make sense of problems in real-world context.