High School Course Digest
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Mathematics Course Descriptions
Algebra: Concepts and Connections
(Prerequisite: Successful completion of 8th grade Math or 7th grade Advanced Math)
This course is designed as the first course in a threecourse series. Students will apply their algebraic and geometric reasoning skills to make sense of problems involving algebra, geometry, bivariate data, and statistics. This course focuses on algebraic, quantitative, geometric, graphical, and statistical reasoning. The state mandated Georgia Milestones End of Course Assessment is required and counts 20% of the student’s overall course grade.
Geometry: Concepts and Connections (and Honors Geometry: Concepts and Connections)
(Prerequisite: Successful completion of Algebra: Concepts and Connections)
This course is designed as the second course in a threecourse series. This course enhances students’ geometric, algebraic, graphical, and probabilistic reasoning skills. Students will apply their algebraic and geometric reasoning skills to make sense of problems involving geometry, trigonometry, algebra, probability, and statistics. The Honors Geometry course is available to students who are strong performers in Algebra: Concepts and Connections, and includes extensions of the standards that serve as foundational studies for Calculus.
Advanced Algebra: Concepts and Connections (and Honors Advanced Algebra: Concepts and Connections)
(Prerequisite: Successful completion of Geometry: Concepts and Connections, or Honors Geometry: Concepts and Connections)
This is the culminating course in a sequence of three high school courses designed to ensure career and college readiness. It is designed to prepare students for fourth course options relevant to their career pursuits. The Honors Advanced Algebra: Concepts and Connections course is available to students who are strong performers in Geometry: Concepts and Connections, and includes extensions of the standards that serve as foundational studies for Calculus.  Precalculus
(Prerequisite: Successful completion of Advanced Algebra: Concepts and Connections)
This is a fourth mathematics course designed to prepare students for calculus and other collegelevel mathematics courses. The course provides students with the opportunity to develop a deeper understanding of concepts in Algebra that are critical to the study of Calculus, as well as an understanding of trigonometry and its applications. Throughout the course there should be a focus on notational fluency and the use of multiple representations.  Accelerated Algebra/Geometry A: Concepts and Connections
(Prerequisite: Successful completion of Accelerated 7th grade math)
This course is available to accelerated eighthgrade students, covering all course standards in Algebra: Concepts and Connections and the first half of Geometry: Concepts and Connections. It is the first in a sequence of mathematics courses designed to ensure that students are prepared to take higher‐level mathematics courses during their high school career, including Advanced Placement Calculus AB, Advanced Placement Calculus BC, and Advanced Placement Statistics. The state mandated Georgia Milestones End of Course Assessment in Algebra is required and counts 20% of the student’s overall course grade.  Accelerated Geometry B/Advanced Algebra: Concepts and Connections
(Prerequisite: Successful completion of Accelerated Algebra/Geometry A: Concepts and Connections, or successful completion of Algebra: Concepts and Connections at a high level and FCS Summer Geometry A at a high level)
This is the second in a sequence of mathematics courses designed to ensure that students are prepared to take higher‐level mathematics courses during their high school career, including Advanced Placement Calculus AB, Advanced Placement Calculus BC, and Advanced Placement Statistics. The course covers the second half of Geometry: Concepts and Connections and all of Advanced Algebra: Concepts and Connections.  AP Precalculus
(Prerequisite: Successful completion of FCS Accelerated Geometry B/Advanced Algebra: Concepts and Connections, or FCS Honors Advanced Algebra: Concepts and Connections)
The AP Program convened college faculty to build a precalculus course that invites a diverse group of students to prepare for college mathematics, encourages more students to complete four years of mathematics in high school, and improves student readiness to succeed in college.

In AP Precalculus, students explore everyday situations and phenomena using mathematical tools and lenses.

Through regular practice, students build deep mastery of modeling and functions, and they examine scenarios through multiple representations. They will learn how to observe, explore, and build mathematical meaning from dynamic systems, an important practice for thriving in an everchanging world.
As different colleges have different criteria for placement and for calculus credit, we suggest that the student make inquiries at their colleges of interest, to determine the score necessary for credit and for placement. Students enrolled in this course are expected to take the Advanced Placement examination in AP Precalculus in May.

 AP Statistics
(Prerequisite: Successful completion of Advanced Algebra: Concepts and Connections)
AP Statistics is a course in the Advanced Placement (AP) Program developed by the College Board. AP Statistics is designed to be the secondary school equivalent, upon taking the Advanced Placement Examination, to a onesemester, introductory, noncalculus based, college course in statistics. Its purpose is to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. AP Statistics has four themes: exploring data, planning a study, anticipating patterns, and statistical inference. As different colleges have different criteria for placement and for calculus credit, we suggest that the student make inquiries at their colleges of interest, to determine the score necessary for credit and for placement. Students enrolled in this course are expected to take the Advanced Placement examination in AP Statistics in May.  AP Calculus AB (requires math department approval)
AP Calculus AB is a course in the Advanced Placement (AP) Program developed by the College Board. The course content follows the curriculum necessary for successful performance on the Advanced Placement Examination given by College Board. Topics included in this course include elementary functions, limits and continuity, and differential and integral calculus. As different colleges have different criteria for placement and for calculus credit, we suggest that the student make inquiries at their colleges of interest, to determine the score necessary for credit and for placement. Students enrolled in this course are expected to take the Advanced Placement examination in AP Calculus AB in May.  AP Calculus BC (requires math department approval)
AP Calculus BC is a course in the Advanced Placement (AP) Program developed by the College Board. The prerequisite for this class is AP Calculus AB. AP Calculus BC is a continuation of the AP Calculus AB curriculum and is designed to prepare the student for the Advanced Placement exam in Calculus BC. In addition to the topics covered in AP Calculus AB (see above), AP Calculus BC includes advanced techniques and applications of differential and integral calculus, differential equations, and calculus as it relates to sequences and series, parametric, and polar equations. As different colleges have different criteria for placement and for calculus credit, we suggest that the student make inquiries at their colleges of interest, to determine the score necessary for credit and for placement. Students enrolled in this course are expected to take the Advanced Placement examination in AP Calculus BC in May.  AP Calculus AB/ AP Calculus BC (requires math department approval)
AP Calculus AB and AP Calculus BC are courses in the Advanced Placement (AP) Program developed by the College Board. This selection of classes is taught as two linked classes, with first semester as AP Calculus AB and second semester AP Calculus BC. (See above for the topics taught in both AP Calculus AB and AP Calculus BC.) As different colleges have different criteria for placement and for calculus credit, we suggest that the student make inquiries at their colleges of interest, to determine the score necessary for credit and for placement. Students enrolled in this course are expected to take the Advanced Placement examination in AP Calculus BC in May.
Calculus (requires math department approval)
Calculus is a fourthyear math option for students who have completed Precalculus. The course provides students with the opportunity to develop an understanding of the derivative and its applications as well as the integral and its applications. Throughout the course there should be a focus on notational fluency and the use of multiple representations.
Multivariable Calculus (requires math department approval)
Multivariable Calculus is a fourthyear mathematics course option for students who have completed AP Calculus BC. It includes threedimensional coordinate geometry; matrices and determinants; eigenvalues and eigenvectors of matrices; limits and continuity of functions with two independent variables; partial differentiation; multiple integration; the gradient; the divergence; the curl; Theorems of Green, Stokes, and Gauss; line integrals; integrals independent of path; and linear firstorder differential equations.  College Readiness Mathematics Capstone Course
(Prerequisite: Successful completion of Advanced Algebra: Concepts and Connections)
This course is a fourth course option for students who have completed Advanced Algebra (or the equivalent). The course is designed to serve as a bridge for high school students who will enroll in nonSTEM postsecondary study and will serve to meet the high school fourth course graduation requirement. The course has been approved by the University System of Georgia as a fourth mathematics course beyond Advanced Algebra (or the equivalent) for nonSTEM majors, so the course will meet the needs of collegebound seniors who will not pursue STEM fields.
Advanced Mathematical Decision Making
(Prerequisite: Successful completion of Advanced Algebra: Concepts and Connections)
This course is a fourthyear mathematics course option designed to follow the completion of Advanced Algebra: Concepts and Connections. Students will enhance their understanding of concepts explored in the context of reallife phenomena. The intent of this course is for students to combine their understanding of multiple mathematical concepts as they explore and solve realworld mathematical problems. Students will investigate applications of mathematics in a variety of contexts, including business and financial decisionmaking, earning, investing, spending, and borrowing money, using functions to model problem situations in both discrete and continuous relationships, and using ratios, rates, and percentages to solve problems.
Statistical Reasoning
(Prerequisite: Successful completion of Advanced Algebra: Concepts and Connections)
This course provides experience in statistics beyond the required sequence of courses, offering students opportunities to strengthen their understanding of the statistical method of inquiry and statistical simulations. Students will formulate statistical questions to be answered using data, will design and implement a plan to collect the appropriate data, will select appropriate graphical and numerical methods for data analysis, and will interpret their results to make connections with the initial question. 
Foundations of Algebra
Foundations of Algebra is a first year high school mathematics course option for students who have completed mathematics in grades 6 – 8 yet will need substantial support to bolster success in high school mathematics. The course is aimed at students who have reported low standardized test performance in prior grades and/or have demonstrated significant difficulties in previous mathematics classes. Note: This course counts for elective credit only. Collegeintending students will still need to earn four mathematics credits above this course.
