**MATHEMATICS 6**

Course No. 3110 - 36 weeks course

The sixth-grade standards are a transition from the emphasis placed on whole number arithmetic in the elementary grades to foundations of algebra. The standards emphasize rational numbers. Students will use ratios to compare data sets; recognize decimals, fractions, and percents as ratios, use a variety of concrete, pictorial, and abstract representations to develop proportional reasoning skills, solve single-step and multi step problems, using rational numbers; and gain a foundation in the understanding of integers. Students will solve linear equations and use algebraic terminology. Students will solve problems involving area and perimeter and work with π (pi). In addition, students will focus on applications of statistics.

ADVANCED MATHEMATICS 6

Course No. 3110A - 36 weeks course

This course is designed for students who are motivated to work at an accelerated pace and have demonstrated a strong background in mathematics. The Grade 6 course provides a transition from the emphasis placed on whole number arithmetic in the elementary grades to an introduction to algebraic thinking. The Standards include a focus on single-step and multistep problems involving operations with integers and positive rational numbers. Students will determine equivalency, compare, and order decimals, fractions, and percents. Students will solve problems involving area and perimeter and begin to graph in a coordinate plane. In addition, students will continue using the data cycle by applying it to circle graphs and develop concepts regarding measures of center. Students will solve linear equations in one variable, write inequality statements, and use algebraic terminology. Students will use ratios to compare two quantities and represent proportional relationships as a precursor to the development of the concept of linear functions.

**MATHEMATICS 7**

Course No. 3111 - 36 weeks course

The Grade 7 course continues to emphasize the foundations of Algebra. The Standards address the representation and comparison of rational numbers using exponents, scientific notation, and square roots. Students continue to develop proficiency in operations with rational numbers and solving problems in context by expanding their study from Grade 6. Students will build on the concept of ratios to solve problems involving proportional reasoning, which is emphasized throughout the Grade 7 Standards. Students will solve problems involving volume and surface area and focus on the relationships among the properties of quadrilaterals. In addition, students will continue to apply the data cycle and extend the application to histograms. Probability is investigated through comparing experimental results to theoretical expectations. Students continue to develop their understanding of solving linear equations and inequalities in one variable by applying the properties of real numbers. Students investigate proportional relationships and begin to develop a concept of slope as rate of change.

**ADVANCED MATHEMATICS 7/8**

Course No. 3112A

This course includes content for both Grade 7 Mathematics and Grade 8 Mathematics and will challenge students motivated to work at an accelerated pace and to prepare them for the study of Algebra I in Grade 8. At the end of this course students will take the Grade 8 Math SOL.

**MATHEMATICS 8**

Course No. 3112 - 36 weeks course

The Grade 8 Standards continue to build on the concepts needed for success in high school level Algebra, Geometry, and Statistics. Students will explore real numbers and the subsets of the real number system. Proportional reasoning is expounded upon as students solve a variety of problems. Students find the volume and surface area of more complex three-dimensional figures and apply transformations to geometric shapes in the coordinate plane. Students will verify and apply the Pythagorean Theorem creating a foundation for further study of triangular relationships in Geometry. Students will represent data, both univariate and bivariate, and continue to apply the data cycle and extend the application to boxplots and scatterplots. Students build upon the algebraic concepts developed in the Grade 6 and 7 Standards, which include simplifying algebraic expressions, solving multistep linear equations and inequalities in one variable, and graphing linear functions. The Grade 8 Standards are vital to providing a solid foundation in Algebra 1.

**ALGEBRA I**

Course No. 3130 36 weeks course - 1 High School Credit

*Prerequisite: Successful completion of Advanced Math 7/8*

This course requires students to use algebra as a tool for representing and solving a variety of contextual problems. Tables and graphs will be used to interpret algebraic expressions, equations, and inequalities and to analyze behaviors of functions. Students will earn a credit for graduation upon completion of the course and a verified credit upon passing the Algebra I End of Course Test.