Algebra I
Course Code 3130
Grade(s): 9-12
1 Credit
Prerequisite: Pre-Algebra (Mathematics 8)
SOL Test Algebra I incorporates concepts and skills necessary for students to pursue the study of rigorous advanced mathematics. The arithmetic properties of numbers are extended to include the development of the real number system. The fundamental concepts of equality, functions, multiple representations, probability, and data analysis guide the activities that allow students to enhance problem solving skills.
Computers and graphing calculator technologies are incorporated into the curriculum in order to allow students opportunities to explore concepts, provide visual models to support the learning of algebraic concepts, and as powerful tools for solving and verifying solutions to equations and inequalities. Mathematical communication and reasoning are emphasized throughout the course.
Algebra II
Course Code 3135
Grade(s): 9-12
1 Credit
Prerequisite: Geometry
SOL Test Algebra II provides a thorough study of functions, including parent functions, families of functions, and transformational graphing. Transformational graphing uses translations, reflections, dilations, and rotations to generate a family of graphs from a parent graph. The continued study of equations, systems of equations, inequalities, and systems of inequalities builds on Algebra I concepts while polynomials, and imaginary numbers in the complex number system, allow additional opportunities for modeling and practical applications.
Graphing calculators and other emerging technologies are incorporated into instruction to enhance teaching and learning. Mathematical communication, reasoning, problem solving, critical thinking, and multiple representations are emphasized throughout the course.
Honors Algebra II w/ Trigonometry
Course Code 3135H
Grade(s): 9-12
1 Credit
Prerequisite: Geometry
SOL Test This advanced course, designed to prepare students for both AP and IB courses, is an enriched Algebra II curriculum with an in-depth study of equations and functions. A thorough treatment of advanced algebraic concepts will be provided through the study of functions, equations, inequalities, systems of equations, polynomials, rational and radical equations, complex numbers, and curves of best fit. Emphasis will be placed on contextual applications and modeling throughout the course of study. Students will vary the coefficients and constants of an equation, observe the changes in the graph of the equation, and make generalizations that can be applied to many graphs. Graphing rational and polynomial graphs with multiple transformations are just some of the additional topics students will learn. Mathematical communication and reasoning are emphasized throughout the course. The honors version of this course is taught at an accelerated pace and includes a significant amount of trigonometry to prepare students for Pre-Calculus.
Economics, Personal Finance, and Entrepreneurship
Course Code 6120
Grade(s): 10-12 (Students will typically take in 11th at ATI)
1 Credit
This course presents economic concepts, the interdependence of the world’s economies, and skills necessary to navigate the financial decisions faced to make informed decisions related to career exploration, budgeting, banking, credit, insurance, spending, taxes, saving, investing, buying/leasing a vehicle, living independently, and inheritance. Development of financial literacy skills and an understanding of economic principles will provide the basis for responsible citizenship and career success. The course will assist in the development of thinking skills that include analyzing real-world situations, economic reasoning, decision-making, and problem-solving. In order to assist in meeting diploma requirements for graduation, all students will take the W!SE Financial Literacy test (state-approved industry credential) and complete an online learning experience through completion of the Ever-Fi Financial Literacy module.
AP Business with Personal Finance
Course Code 6120AP
Grade(s): 11-12 (Typically scheduled for 11th)
1 Credit
Prerequisite: Algebra I
College Board notes that "AP Business with Personal Finance introduces students to the knowledge and skills they’ll need to grow their careers, manage money, and get a head start toward the most popular college major in the U.S. Developed in partnership with college faculty and industry leaders, the yearlong course offers students the opportunity to earn college credit and an employer-endorsed credential." The course will also "teach workforce-ready skills that prepare students for careers in a range of businesses—from startups and large corporations to regional and local organizations. Through projects and case studies, students will learn business fundamentals, decision-making skills, and personal finance standards. "
Geometry
Course Code 3143
Grade(s): 9-12
1 Credit
Prerequisite: Algebra I
SOL Test Geometry is the combined study of plane, solid, and coordinate geometric concepts that provide students with the skills necessary for the study of advanced mathematics. Investigations of lines, planes, congruence, similarity, areas, volumes, circles, and three-dimensional shapes are incorporated to provide a complete course of study. Formal and informal deductive reasoning skills are developed and applied to the construction of formal proofs. An emphasis on reasoning, problem solving, and proof is embedded in the course and includes two-column proofs, paragraph proofs, and coordinate proofs.
Computers and graphing calculator technologies are incorporated into the curriculum in order to allow students opportunities to explore concepts, engage in inquiry-based learning, provide visual models to support the learning of geometric concepts, and as powerful tools for solving and verifying solutions to equations and inequalities. Mathematical communication and reasoning are emphasized throughout the course.
DE Quantitative and Statistical Reasoning (MTH 154 and MTH 155)
(Dual-Enrollment through Germanna Community College)
Course Code: 3196DE
Grade(s): 10-12
1 Credit
Prerequisite: Algebra II and a current cumulative high school GPA of 3.0 or better.
The year-long course will provide students with an opportunity to complete six hours of college coursework. The first semester presents topics in proportional reasoning, modeling, financial literacy and validity studies (logic and set theory). Major emphasis is on the process of taking a real-world situation, identifying the mathematical foundation needed to address the problem, solving the problem and applying what is learned to the original situation. The second semester presents elementary statistical methods and concepts including visual data presentation, descriptive statistics, probability, estimation, hypothesis testing, correlation, and linear regression. Emphasis is placed on the development of statistical thinking, simulation, and the use of statistical software. Students who successfully complete this course will receive credit from Germanna Community College.
DE Pre-Calculus (MTH 161 and MTH 162)
(Dual-Enrollment through Germanna Community College)
Course Code 3162DE
Grade(s): 10-12
1 Credit
Prerequisite: Algebra II with a C or better and a current cumulative high school GPA of 3.0 or better.
The purpose of this year-long course is to prepare students for the skills and level of rigor needed for successful study in calculus courses. This course presents topics in power, polynomial, rational, exponential, and logarithmic functions and systems of equations and inequalities. Students will also work on the topics of trigonometry, trigonometric applications including Law of Sines and Cosines, and an introduction to conics. Students who successfully complete this course will receive credit from Germanna Community College.
DE Calculus I and II (MTH 263 and MTH 264)
(Dual-Enrollment through Germanna Community College)
Course Code 3178DE
Grade(s): 11 and 12
1 Credit
Prerequisite: DE Pre-calculus with a C or better or Pre-calculus: Math Analysis with Trigonometry with a grade of B or better in combination with a current cumulative high school GPA of 3.0 or better
The general purpose of this year-long course is to prepare students for further study in calculus with analytic geometry. The first semester of this course presents the concepts of limits, derivatives, differentiation of various types of functions and use of differentiation rules, application of differentiation, antiderivatives, integrals and applications of integration. The second semester continues the study of algebraic and transcendental functions including rectangular, polar, and parametric graphing, indefinite and definite integrals, methods of integration and power series along with applications. Students who successfully complete this course will receive credit from Germanna Community College.
AP Statistics
Course Code: 3192AP
Grade(s):
1 Credit
Prerequisite: Algebra II
The purpose of this course is to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to exploring data, sampling and experimentation of data, anticipating patterns, and statistical inference. Summer assignments may be required. *This course is cross-referenced with computer/data science and will meet the elective requirement for computer/data science for 11th-12th grade.