# Math

Instructors:

Sara Anthony

santhony@rcps.us

Keisha Bell

kbell@rcps.us

Vanessa Best

vbest@rcps.us

Kristie Boone

kboone@rcps.us

Josh Burton

jburton@rcps.us

Alicia Craxton

acraxton@rcps.us

Nicole David

ndavid@rcps.us

Greg Duff

gduff@rcps.us

Angela Hundley

ahundley@rcps.us

Amy Jacks

ajacks@rcps.us

Holland Long

hlong@rcps.us

James Scalera

jscalera@rcps.us

## Courses:

**MATHEMATICS 6**

This course provides a transition from the emphasis placed on whole number arithmetic in the elementary grades to foundations of algebra. The standards include a focus on rational numbers and operations involving rational numbers. Students will use ratios to compare data sets; recognize decimals, fractions, and percents as ratios; solve single-step and multistep problems, using positive rational numbers; and gain a foundation in the understanding of and operations with integers. Students will solve problems involving area and perimeter, and begin to graph in a coordinate plane. In addition, students will build on the concept of graphical representation of data developed in the elementary grades and develop concepts regarding measures of center. Students will solve linear equations and inequalities in one variable, and use algebraic terminology, problem solving strategies, and technology. Students will represent proportional relationships using two variables as a precursor to the development of the concept of linear functions. Students will take the Math 6 SOL test.**PRE-ALGEBRA 6**

This course provides a transition from the emphasis placed on whole number arithmetic in the elementary grades to foundations of algebra. The standards include a focus on rational numbers and operations involving rational numbers. Students will use ratios to compare data sets; recognize decimals, fractions, and percents as ratios; solve single-step and multistep problems, using positive rational numbers; and gain a foundation in the understanding of and operations with integers. Students will solve problems involving area and perimeter, and begin to graph in a coordinate plane. In addition, students will build on the concept of graphical representation of data developed in the elementary grades and develop concepts regarding measures of center. Students will solve linear equations and inequalities in one variable, and use algebraic terminology, problem solving strategies, and technology. Students will represent proportional relationships using two variables as a precursor to the development of the concept of linear functions. Students will explore topics from Math 7 and will develop their understanding of solving linear equations and inequalities in one variable by applying the properties of real numbers. Students will discern between proportional and non-proportional relationships and begin to develop a concept of slope as rate of change. Students will take the Math 6 SOL.**ACCELERATED MATH PROGRAM 6 (AMP)**

This is the first course in the Accelerated Mathematics Program and students will complete the Virginia Standards of Learning for Mathematics 6 and Mathematics 7. These standards continue to emphasize the foundations of algebra. The standards address the concept of and operations with rational numbers. Students will build on the concept of ratios to solve problems involving proportional reasoning. Students will solve problems involving volume and surface area and focus on the relationships among the properties of quadrilaterals. 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 discern between proportional and non-proportional relationships and begin to develop a concept of slope as rate of change. Students will take the Math 7 SOL test.

MATHEMATICS 7

This course continues to emphasize the foundations of algebra. The standards address the concept of and operations with rational numbers. Students will build on the concept of ratios to solve problems involving proportional reasoning. Students will solve problems involving volume and surface area and focus on the relationships among the properties of quadrilaterals. 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 discern between proportional and non-proportional relationships and begin to develop a concept of slope as rate of change. Students will take the Math 7 SOL test.

PRE-ALGEBRA 7

This course continues to emphasize the foundations of algebra. The standards address the concept of and operations with rational numbers by continuing their study from grade six. Students will build on the concept of ratios to solve problems involving proportional reasoning. Students will solve problems involving volume and surface area and focus on the relationships among the properties of quadrilaterals. 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 discern between proportional and non-proportional relationships and begin to develop a concept of slope as rate of change. Students will explore topics from Math 8 to include more advanced proportional reasoning, complex three-dimensional figures and transformations, the Pythagorean Theorem, and algebraic expressions, equations, inequalities, and linear functions. Students will take the Math 7 SOL test.**MATHEMATICS 8**

The eighth-grade 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 data, and make predictions by observing data patterns. Students build upon the algebraic concepts developed in the standards for grades six and seven mathematics, which include simplifying algebraic expressions, solving multistep equations and inequalities, and graphing linear functions. The grade eight standards are vital to providing a solid foundation for success in Algebra I. Students will take the Math 8 SOL test.**PRE-ALGEBRA 8**

The eighth-grade 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 data, and make predictions by observing data patterns. Students build upon the algebraic concepts developed in the standards for grades six and seven mathematics, which include simplifying algebraic expressions, solving multistep equations and inequalities, and graphing linear functions. Students will explore topics from Algebra I to include patterns and modeling, the use of tables and graphs to analyze behaviors of functions, and the use of a graphing utility. Students will take the Math 8 SOL test.**ADVANCED ALGEBRA I**

(Advanced Algebra I in the middle school will meet the Virginia Standards of Learning requirements for Algebra I and will include select topics from Math 8 that were not covered in previous courses.) All students are expected to achieve the Algebra I standards. Included in the Algebra I course is a progression of algebraic content in patterning, generalization of arithmetic concepts, proportional reasoning, and the representation of mathematical relationships using tables, symbols, and graphs. This course will assist students in generalizing patterns or modeling relevant, practical situations with algebraic models. In order to assist students in developing meaning and connecting algebraic concepts to geometry and statistics, consideration has been given to the sequential development of concepts and skills by using concrete materials to assist students in making the transition from the numeric to the symbolic. Connections between Algebra I and other subject areas through practical applications will assist in helping students attach meaning to the abstract concepts of algebra. This course requires students to use algebra as a tool for representing and solving a variety of practical problems. Tables and graphs will be used to interpret algebraic expressions, equations, and inequalities and to analyze behaviors of functions. This course will include a transformational approach to graphing functions and writing equations when given the graph of the equation. Graphing utilities (calculators, computers, and other technology tools) will be used to assist in teaching and learning.**ADVANCED GEOMETRY**

This course is designed for students who have successfully completed the standards for Algebra I. All students are expected to achieve the Geometry standards. The course includes an emphasis on developing reasoning skills through the exploration of geometric relationships including properties of geometric figures, trigonometric relationships, and mathematical proofs. In this course, deductive reasoning and logic are used in direct proofs. Direct proofs are presented in different formats (typically two-column or paragraph) and employ definitions, postulates, theorems, and algebraic justifications including coordinate methods. This course includes emphasis on two- and three-dimensional reasoning skills, coordinate and transformational geometry, and the use of geometric models to solve problems. A variety of applications and some general problem-solving techniques, including algebraic skills, should be used to implement these standards. Graphing utilities (calculators, computers, and other technology tools) and dynamic geometry applications will be used to assist in teaching and learning.