Mathematics

PREREQUISITE(S): None / Student must qualify with MS Data Points

LENGTH OF COURSE: Yearlong (Semester A/Semester B)

QUALIFICATIONS: MS/HS administrators/teachers will identify students who Did Not Meet expectations on at least two of the following three assessments: 5th, 6th, and 7th grade Georgia Milestones End of Grade Assessments and/or showed little progress in their mathematics classes in 6th – 8th grade. These are students who may have significant gaps in their mathematics achievement.

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. The course will provide many opportunities to revisit and expand the understanding of foundational algebra concepts, will employ diagnostic means to offer focused interventions, and will incorporate varied instructional strategies to prepare students for required high school mathematics courses. The course will emphasize both algebra and numeracy in a variety of contexts including number sense, proportional reasoning, quantitative reasoning with functions, and solving equations and inequalities. This course precedes GSE Algebra I. It is recognized as a math credit for graduation.  It will be recognized by some four-year universities as meeting minimum admission requirements, but not all. Please visit any potential post-secondary institutions for admission requirements.  (This course does have qualifying criteria.)

PREREQUISITE(S): None

LENGTH OF COURSE: Yearlong (Semester A/Semester B)

The fundamental purpose of this course is to extend the mathematics that students learned in the middle grades. The critical areas of study are linear and exponential relationships, applying linear models to data, and analyzing, solving, and using quadratic functions. At the end of the course each student will be required to take the Georgia Milestones Algebra I End of Course assessment.  The EOC counts as 20% of the final grade; students that fail to take the EOC will receive an incomplete and no credit for the course.

PREREQUISITE(S): None

LENGTH OF COURSE: Yearlong (Semester A/Semester B)

THIS COURSE IS AN ELECTIVE AND DOES NOT COUNT TOWARD CORE MATH. ONLY CERTAIN QUALIFYING STUDENTS WILL TAKE MATH SUPPORT.   Students recommended for GSE Algebra Support will complete this course concurrently with GSE Algebra. The contents of this course supplement the GSE Algebra curriculum and provide students with additional review of basic math skills. It serves as a medium for preview and review of material. This course is strongly suggested for students not meeting the standards set forth on the eighth-grade math EOG. It is also encouraged for students who narrowly met the standards, and for students who have historically struggled in the math classroom.

(Student must qualify according to GCA’s Advanced Student Placement)

LENGTH OF COURSE: Yearlong (Semester A/Semester B)

The fundamental purpose of this course is to extend the mathematics that students learned in the middle grades. The critical areas of study are linear and exponential relationships, applying linear models to data, and analyzing, solving, and using quadratic functions. Students will explore concepts at a greater depth in Honors Algebra I and may participate in an Honors project. At the end of the course each student will be required to take the Georgia Milestones Algebra I End of Course assessment.  The EOC counts as 20% of the final grade; students that fail to take the EOC will receive an incomplete and no credit for the course. 

PREREQUISITE(S): Algebra I

LENGTH OF COURSE: Yearlong (Semester A/Semester B)

The course builds on the geometry covered in middle school to explore more complex geometric situations and deepen students’ ability to explain geometric relationships, moving towards formal mathematical arguments. Specific topics include similarity and congruence, analytic geometry, circles, the Pythagorean Theorem, right triangle trigonometry, analysis of three-dimensional objects and geometric modeling. At the end of the course each student will be required to take the Georgia Milestones Geometry End of Course assessment. The EOC counts as 20% of the final grade; students that fail to take the EOC will receive an incomplete and no credit for the course.

PREREQUISITE(S): Algebra I Honors (Student must qualify according to GCA’s Advanced Student Placement)

LENGTH OF COURSE: Yearlong (Semester A/Semester B)

The course builds on the geometry covered in middle school to explore more complex geometric situations and deepen students’ ability to explain geometric relationships, moving towards formal mathematical arguments. Specific topics include similarity and congruence, analytic geometry, circles, the Pythagorean Theorem, right triangle trigonometry, analysis of three-dimensional objects and geometric modeling. Students will explore concepts at a greater depth in Honors Geometry and may participate in an Honors project. At the end of the course each student will be required to take the Georgia Milestones Geometry End of Course assessment. The EOC counts as 20% of the final grade; students that fail to take the EOC will receive an incomplete and no credit for the course.

PREREQUISITE(S): Algebra I and Geometry

LENGTH OF COURSE: Yearlong (Semester A/Semester B)

Building on their work with linear, quadratic, and exponential functions, students extend their repertoire of functions to include polynomial, rational and radical functions. Students also expand their abilities to model situations and solve equations, including solving quadratic equations over the set of complex numbers and solving exponential equations using the properties of logarithms. The course covers sequences and series, probability distributions, and more advanced data analysis techniques.

PREREQUISITE(S): Algebra I Honors and/or Geometry Honors (Student must qualify according to GCA’s Advanced Student Placement)

LENGTH OF COURSE: Yearlong (Semester A/Semester B)

Building on their work with linear, quadratic, and exponential functions, students extend their repertoire of functions to include polynomial, rational and radical functions. Students also expand their abilities to model situations and solve equations, including solving quadratic equations over the set of complex numbers and solving exponential equations using the properties of logarithms. The course covers sequences and series, probability distributions, and more advanced data analysis techniques.  Students will explore concepts at a greater depth in Honors Algebra II and may participate in an Honors project.

PREREQUISITE(S): Algebra II or Algebra II Honors

LENGTH OF COURSE: Yearlong (Semester A/Semester B)

Students will build upon their understanding of Geometry and Algebra II.  They will understand and use matrices; investigate and use conic sections; use probability to evaluate outcomes and to calculate expected value; analyze and use trigonometric functions, their graphs, and their inverses; use trigonometric identities to solve problems and verify equivalence statements; solve trigonometric equations analytically and with technology; find areas of triangles using trigonometric relationships; understand and use vectors.

PREREQUISITE(S): Accelerated Geometry B / Algebra II Honors OR Algebra II Honors(Student must qualify according to GCA’s Advanced Student Placement)

LENGTH OF COURSE: Yearlong (Semester A/Semester B)

Accelerated Pre-Calculus is the third 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.

PREREQUISITE(S): Algebra II

LENGTH OF COURSE: Yearlong (Semester A/Semester B)

Students learn about the many practical applications of math in everyday life. Topics of study in this course include statistics, probability, statistical graphs, regression, finance, budgeting, and mathematical modeling. Proficiency is measured through frequent online and offline assessments, as well as class participation.

LENGTH OF COURSE: Yearlong (Semester A/Semester B)

PREREQUISITE: Algebra II, Algebra II Honors, Accelerated Geometry B / Algebra II Honors, Pre-Calculus or Accelerated Pre-Calculus Honors

The AP Statistics course is equivalent to a one-semester, introductory, non-calculus-based college course in statistics. The course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. There are four themes in the AP Statistics course: exploring data, sampling and experimentation, anticipating patterns, and statistical inference. Students use technology, investigations, problem solving, and writing as they build conceptual understanding. Moreover, all students enrolled in AP classes are recommended to take the AP Examination in May if they are passing this course prior to the AP Examinations. With the assistance of the Advanced Learner Program Coordinator, Rebekah Cooper, students must secure their own testing site

LENGTH OF COURSE: Yearlong (Semester A/Semester B)

PREREQUISITE: Pre-Calculus or Accelerated Pre-Calculus Honors

AP Calculus AB is roughly equivalent to a first semester college calculus course devoted to topics in differential and integral calculus. The AP course covers topics in these areas, including concepts and skills of limits, derivatives, definite integrals, and the Fundamental Theorem of Calculus. The course teaches students to approach calculus concepts and problems when they are represented graphically, numerically, analytically, and verbally, and to make connections amongst these representations. Students learn h ow to use technology to help solve problems, experiment, interpret results, and support conclusions. Moreover, all students enrolled in AP classes are recommended to take the AP Examination in May if they are passing this course prior to the AP Examinations. With the assistance of the Advanced Learner Program Coordinator, Rebekah Cooper, students must secure their own testing site.

PREREQUISITES: None

LENGTH OF COURSE: Yearlong (Semester A/Semester B)

Focuses on preparing students to take the Critical Reading, Mathematics, and Writing portions of the SAT and ACT