Accelerated Geometry B/ Advanced Algebra Course Description: This is the second in the sequence of mathematics courses designed to ensure that
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1 Accelerated Geometry B/ Advanced Algebra This is the second in the 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. Specific topics include quadratic expressions, equations, and functions, real number system, complex number system, polynomial, rational, and radical functions, drawing inferences and conclusions from statistical data, and probability. Students bring together all of their experience with functions and geometry to create models and solve contextual problems. Pre-requisites: Accelerated Algebra/Geometry A Grade Levels: 9-12 Quality Points: 0.5
2 Advanced Mathematical Decision Making AMDM stands for Advanced Mathematical Decision Making, which is a new course adopted by the state of Georgia to enable seniors to gain a Math 4 credit. AMDM sets out to answer the question "When will I use this?" In this course, students will be taking knowledge learned in their three previous years of math and applying it to real world scenarios. A majority of the concepts used in AMDM have been learned previously, but there will still be some concepts that are unfamiliar. Most of the content is taught in a "hands-on" manner. Students will be completing many mini and major projects throughout this course. Students are expected to actively participate in their groups and present to the class. Topics include graphing, personal finance, estimation, data and statistics, research applications, and geometry. Pre-requisites: Algebra II Grade Levels: Quality Points: 0.0
3 Advanced Placement Calculus AB This course focuses on single-variable calculus that includes techniques and applications of the derivative, techniques and applications of the definite integral, and the Fundamental Theorem of Calculus. It is equivalent to at least one semester of calculus at most colleges and universities. Algebraic, numerical, and graphical representations are emphasized throughout the course. Pre-requisites: Accelerated Pre-Calculus or Pre-Calculus Grade Levels: Terms Offered: Fall Quality Points: 1.0
4 Advanced Placement Calculus BC This course in single-variable calculus that includes derivatives, and integrals of parametric, vector and polar functions. This course will also examine the convergence of series and Taylor series. It is equivalent to the second semester of calculus at most colleges and universities. Algebraic, numerical, and graphical representations are emphasized throughout the course. Pre-requisites: Advanced Placement Calculus AB Grade Levels: Terms Offered: Spring Quality Points: 1.0
5 Advanced Placement Statistics This course is divided into four major themes: exploratory analysis, planning a study, probability, and statistical inference. Exploratory analysis of data makes use of graphical and numerical techniques to study patterns and departures from patterns. Probability is the tool used to anticipate future behavior of data associated with a given model. Statistical inference is the process used to make decisions stemming from observed. This course is designed for students who want to pursue studies or careers in the quantitative or scientific fields, or fields that rely on statistical analysis for pertinent data. Pre-requisites: Successful completion of Accelerated Geometry B/ Algebra II or Pre-Calculus Grade Levels: Quality Points: 1.0
6 GSE Accelerated Pre-Calculus This is the third in the 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. Specific topics include set theory, conics, trigonometric functions, trigonometry of general triangles, trigonometric identities, matrices, vectors, polar and parametric equations and probability. Pre-requisites: Successful completion of Accelerated Geometry B/Algebra II or GSE Honors Algebra II Grade Levels: Quality Points: 0.5
7 GSE Algebra I Algebra I is the first in a sequence of three high school courses designed to ensure career and college readiness. The course represents a discrete study of algebra with correlated statistics applications and a bridge to the second course through quadratic functions and factoring topics. Additional Information: Algebraic Expressions Solving Equations & Inequalities in One Variable Linear Equations & Inequalities Functions & Function Notation Models of Exponential & Linear Functions Arithmetic & Geometric Sequences Modeling and Solving Quadratic Functions Comparing Functions Probability/Statistics Interpret/Represent/Compare Data Summarize Data Fit Functions to Data (limit to linear & exponential) Interpret Linear Models for Data Pre-requisites: Placement Grade Levels: 9-12 Quality Points: 0.0
8 GSE Algebra II Algebra II 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. It requires students to: Solve quadratic equations using various methods Perform operations with complex numbers Analyze, solve & graph polynomial functions of higher degree Extend the properties of exponents to rational exponents Solve & graph exponential & logarithmic functions Solve a variety of equations and inequalities numerically, algebraically and graphically Perform operations with polynomials & rational expressions Solve problems by interpreting a normal distribution as a probability distribution Graph radical, rational, absolute value, and piecewise functions Design and conduct experimental and observational studies Summarize, represent, and interpret data on a single count or measurement variable Pre-requisites: Successful completion of GSE Geometry Grade Levels: Quality Points: 0.0
9 GSE Algebra II (Honors) Honors Algebra II is the third course in the honors mathematics program and is a course designed to ensure readiness for advanced placement mathematics. It requires students to investigate in depth the following concepts: Solve quadratic equations using various methods Perform operations with complex numbers Analyze, solve & graph polynomial functions of higher degree Extend the properties of exponents to rational exponents Solve & graph exponential & logarithmic functions Solve a variety of equations and inequalities numerically, algebraically and graphically Perform operations with polynomials & rational expressions Solve problems by interpreting a normal distribution as a probability distribution Graph radical, rational, absolute value, and piecewise functions Design and conduct experimental and observational studies Summarize, represent, and interpret data on a single count or measurement variable Pre-requisites: Successful completion of GSE Honors Geometry Grade Levels: Quality Points: 0.5
10 GSE Algebra Support Algebra Support 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 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 is a year-long course comprised of two semesters. During the first semester, students will take the Algebra Support class. The support class will prepare students for High School Math. Students will complete support modules which are intended to better prepare students for success in a high school math classroom and focus on skills that may not have been previously mastered. Coinciding with these support modules, students will complete the first two units of GSE Algebra I. During the second semester, the modules will be dropped and students will complete the remaining four units (Units 3-6) of GSE Algebra I. Pre-requisites: Placement Grade Levels: 9 Terms Offered: Fall (not math credit students will only receive 1 elective credit) Quality Points: 0.0
11 GSE Calculus Y (Non-AP) This course includes many of the topics taught in AP Calculus, but does not provide the same depth of study associated with AP Calculus. The non-ap Calculus course is designed for students who do not wish to receive college credit through the Advance Placement Exam. Pre-requisites: Accelerated Pre-calculus or GSE Pre-calculus Grade Levels: Quality Points: 0.5
12 GSE Geometry This is the second course in a sequence of courses designed to provide students with a rigorous program of study in mathematics. It includes fundamentals of proof including congruence and similarity, right triangles, and right triangular trigonometry; properties of circles; coordinate geometry with transformation; geometric constructions; fundamentals of probability. Pre-requisites: GSE Algebra I Grade Levels: 9-12 Quality Points: 0.0
13 GSE Geometry (Honors) This is the second course in a sequence of courses designed to provide students with a more rigorous program of study in preparation for advanced placement mathematics. It includes an in depth examination of the fundamentals of proof including congruence and similarity, right triangles, and right triangular trigonometry; properties of circles; coordinate geometry with transformation; geometric constructions; fundamentals of probability. Pre-requisites: GSE Algebra I Grade Levels: 9-12 Quality Points: 0.5
14 GSE Geometry with Support This is the support portion of the second course in a sequence of courses designed to provide students with a rigorous program of study in mathematics. It includes fundamentals of proofs, congruence, similarity, right triangles, and right triangular trigonometry, properties of circles, volume of three dimensional shapes, and probability. As a support course, the focus will be on creating the foundation for these concepts to be mastered in Geometry. Additional Information: Instruction and assessment will include the appropriate use of manipulatives and technology. Topics will be represented in multiple ways, such as concrete/pictorial, verbal/written, numeric/data-based, graphical, and symbolic. Concepts will be introduced and used, where appropriate, in the context of realistic phenomena. Pre-requisites: CCGPS Algebra Grade Levels: 9-12 Terms Offered: Fall Quality Points: 0.0
15 GSE Pre-Calculus This is a fourth year mathematics course designed to prepare students for calculus and similar college mathematics courses. This course requires students to: 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 Apply trigonometry to general triangles Understand and use the unit circle to solve various problems Perform operations on matrices and use matrices in applications Model & perform operations on vectors Perform arithmetic operations with complex numbers and represent complex numbers and their operations on the complex plane Graph conic sections and identify their important characteristics Use the rules of probability to compute probabilities of compound events in a uniform probability model Calculate expected values and use them to solve problems Pre-requisites: GSE Algebra II or GSE Accelerated Geometry B/Algebra II Grade Levels: Quality Points: 0.0
16 Georgia Tech Distance Calculus Math 1502 This course concludes the study of single variable calculus and begins components of linear algebra. Topics include the calculus study of Taylor Series, Lagrange Error, infinite series and Improper Integrals and the theory of linear equations in several variables including vectors, LU factorization, subspaces, Gram Schmidt process, QR factorization and Eigenvalues and Eigenvectors. Additional Information: This course is taught by faculty at Georgia Tech and delivered via distance learning. A Harrison teacher facilitates and reinforces the student learning. The Georgia Tech course number for this course is MATH Pre-requisites: Completion of AP Calculus BC, submittal of the completed GT Distance Calculus application and acceptance by Georgia Tech into the program. Grade Level: 12 Terms Offered: Fall Quality Points: 1.0
17 Georgia Tech Distance Calculus Math 2551 This course examines multivariable calculus: linear approximation and Taylor's theorems, Lagrange multiples and constrained optimization, multiple integration and vector analysis including the theorems of Green, Gauss and Stokes. Additional Information: This course is taught by faculty at Georgia Tech and delivered via distance learning. A Harrison teacher facilitates and reinforces the student learning. The Georgia Tech course number for this course is MATH Pre-requisites: Successful completion of ACL Calculus II Grade Level: 12 Terms Offered: Spring Quality Points: 1.0
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