Mathematics for Grades 9-12

Algebra: Concepts & Connections Support: 

This course is designed to be used as a co-requisite support course for Algebra: Concepts and Connections to support student learning in the core mathematics course. This course is awarded elective mathematics credit. Algebra: Concepts & Connections Support and Algebra: Concepts & connections are scheduled together to give a student 90 minutes of math per day all school year. The Georgia Milestone End of Course test will be administered. 

Algebra: Concepts & Connections:  

This is the first course in a sequence of three high school courses designed to ensure career and college readiness. 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. In this course, students will continue to enhance their algebraic reasoning skills when analyzing and applying a deep understanding of linear functions, sums and products of rational and irrational numbers, systems of linear inequalities, distance, midpoint, slope, area, perimeter, nonlinear equations and functions, quadratic expressions, equations and functions, exponential expressions, equations, and functions, and statistical reasoning. The Georgia Milestone End of Course test will be administered.

Algebra: Concepts & Connections Honors/Gifted: 

This course is designed as the first course in a three-course 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. In this course, students will continue to enhance their algebraic reasoning skills when analyzing and applying a deep understanding of linear functions, sums and products of rational and irrational numbers, systems of linear inequalities, distance, midpoint, slope, area, perimeter, nonlinear equations and functions, quadratic expressions, equations and functions, exponential expressions, equations, and functions, and statistical reasoning. Note that this course includes advanced topics to prepare students for AP or dual enrollment advanced mathematics coursework. Examples include advanced solving strategies for systems of linear equations, inequalities, absolute value equations, and quadratics. The Georgia Milestone End of Course test will be administered. 

Geometry: Concepts & Connections Support:

This course is designed to be used as a co-requisite support course for Geometry: Concepts and Connections to support student learning in the core mathematics course. This course is awarded elective mathematics credit. Geometry: Concepts & Connections and Geometry: Concepts & Connections Support are scheduled together to give a student 90 minutes of math per day all school year.

Geometry: Concepts & Connections: 

Concepts and Connections is the second course in a sequence of three high school courses designed to ensure career and college readiness. This course is intended to enhance 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. Students will continue to enhance their analytical geometry and reasoning skills when analyzing and applying a deep understanding of polynomial expressions, proofs, constructions, rigid motions and transformations, similarity, congruence, circles, right triangle trigonometry, geometric measurement, and conditional probability.

Geometry: Concepts & Connections Honors/Gifted: 

This course is designed as the second course in a three-course series. This course is intended to enhance 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. Students will continue to enhance their analytical geometry and reasoning skills when analyzing and applying a deep understanding of polynomial expressions, proofs, constructions, rigid motions and transformations, similarity, congruence, circles, right triangle trigonometry, geometric measurement, and conditional probability. Note that this course includes advanced topics to prepare students for AP or dual enrollment advanced mathematics coursework. Examples include two column proofs, advanced constructions, complex geometric problem solving, and line partitioning.

Advanced Algebra: Concepts & Connections: 

Advanced Algebra: Concepts & Connections is the third course in a sequence of courses designed to ensure career and college readiness. It is intended to prepare students for fourth mathematics course options relevant to their postsecondary pursuits. High school course content standards are listed by big idea, including Data and Statistical Reasoning, Probabilistic Reasoning, Functional and Graphical Reasoning, Patterning and Algebraic Reasoning, and Geometric and Spatial Reasoning. Students will continue to enhance their data and statistical reasoning skills as they learn specific ways to collect, critique, analyze, and interpret data. Students will learn how to use matrices and linear programming to represent data and to solve contextually relevant problems. Students will strengthen their geometric and spatial reasoning skills as they learn how to solve trigonometric equations using the unit circle. Students will further develop their functional and graphical reasoning as they explore and analyze structures and patterns for exponential, logarithmic, radical, polynomial, and rational expressions, equations and functions to further understand the world around them.

Advanced Algebra: Concepts & Connections Honors/Gifted: 

Advanced Algebra: Concepts & Connections is the third course in a sequence of courses designed to ensure career and college readiness. It is intended to prepare students for fourth mathematics course options relevant to their postsecondary pursuits. High school course content standards are listed by big idea, including Data and Statistical Reasoning, Probabilistic Reasoning, Functional and Graphical Reasoning, Patterning and Algebraic Reasoning, and Geometric and Spatial Reasoning. Students will continue to enhance their data and statistical reasoning skills as they learn specific ways to collect, critique, analyze, and interpret data. Students will learn how to use matrices and linear programming to represent data and to solve contextually relevant problems. Students will strengthen their geometric and spatial reasoning skills as they learn how to solve trigonometric equations using the unit circle. Students will further develop their functional and graphical reasoning as they explore and analyze structures and patterns for exponential, logarithmic, radical, polynomial, and rational expressions, equations and functions to further understand the world around them. Heavy calculator use is expected and suggested for checking. Note that this course includes advanced topics to prepare students for AP or dual enrollment advanced mathematics coursework.

Precalculus:

 This is a fourth-year mathematics course option for students who have completed Advanced Algebra: Concepts and Connections (or the equivalent). The course is intended to provide students with opportunities to develop a deeper understanding of Algebraic concepts that are critical to the study of Calculus. Students will also deepen their understanding of trigonometry and its applications. Throughout the Precalculus course there should be a focus on notational fluency and the use of multiple representations. The course includes the study and analysis of piecewise and rational functions; limits and continuity as related to piecewise and rational functions; sequences and series with the incorporation of convergence and divergence; conic sections as implicitly defined curves; the six trigonometric functions and their inverses; applications of trigonometry such as modeling periodic phenomena, modeling with vectors and parametric equations, solving oblique triangles in contextual situations, graphing in the Polar Plane; solutions of trigonometric equations in a variety of contexts; and the manipulation and application of trigonometric identities. Topics should be analyzed in multiple ways, including verbal and written, numerical, algebraic, and graphical presentations. Instruction and assessment should include the appropriate use of technology. Concepts should be introduced and investigated, where appropriate, in the context of realistic phenomena.

College Readiness Mathematics (Mathematics Capstone Course): 

College Readiness Mathematics Capstone Course (CRM) is a fourth mathematics course option for students who have completed Advanced Algebra: Concepts and Connections. The course is designed to serve as a bridge for high school students who will enroll in a non-STEM postsecondary program of study. The focus of this course is on key content and practice standards to ensure that students will be ready for postsecondary academic courses and career preparation in non-STEM fields. The course will revisit and expand the understanding of content standards introduced in earlier mathematics courses and will emphasize numeracy, algebra and functions, geometry, and statistics in a variety of contexts. Instruction and assessment should include the appropriate use of manipulatives and technology. Mathematics concepts should be represented in multiple ways, such as concrete/pictorial, verbal/written, numeric/data-based, graphical, and symbolic. Concepts should be introduced and used, where appropriate, in the context of realistic experiences. The Standards for Mathematical Practice will provide the foundation for instruction and assessment. The content standards selected are essential for postsecondary preparation in non-STEM study.

AP Precalculus: 

AP Precalculus is a fourth-year mathematics course option that centers on functions modeling dynamic phenomena. This research-based exploration of functions is designed to better prepare students for college-level calculus and provide grounding for other mathematics and science courses. In this course, students study a broad spectrum of function types that are foundational for careers in mathematics, physics, biology, health science, business, social science, and data science. Furthermore, as AP Precalculus may be the last mathematics course of a student’s secondary education, the course is structured to provide a coherent capstone experience rather than exclusively focusing on preparation for future courses. Throughout this course, students develop and hone symbolic manipulation skills, including solving equations and manipulating expressions, for the many function types throughout the course. Students also learn that functions and their compositions, inverses, and transformations are understood through graphical, numerical, analytical, and verbal representations, which reveal different attributes of the functions and are useful for solving problems in mathematical and applied contexts. In turn, the skills learned in this course are widely applicable to situations that involve quantitative reasoning. Placement will be based on teacher and/or counselor recommendation and offered to students well qualified to meet the demands of an AP course.

AP Statistics: 

AP Statistics is an introductory college-level statistics course that introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students cultivate their understanding of statistics using technology, investigations, problem solving, and writing as they explore concepts like variation and distribution; patterns and uncertainty; and data-based predictions, decisions, and conclusions. There are four themes evident in the content, skills, and assessment in the AP Statistics course: exploring data, sampling and experimentation, probability and simulation, and statistical inference. Students use technology, investigations, problem solving, and writing as they build conceptual understanding. This course follows the College Board’s syllabus for the Advanced Placement Statistics Examination. The AP Statistics course is equivalent to a one-semester, introductory, non-calculus-based college course in statistics. Prerequisites: Successful completion of Algebra: C & C, Geometry: C & C, and Advanced Algebra: C & C. Placement will be based on teacher and/or counselor recommendation and offered to students well qualified to meet the demands of an AP course.

AP Calculus AB: 

AP Calculus AB focuses on students’ understanding of calculus concepts and provides experience with methods and applications. Through the use of big ideas of calculus (e.g., modeling change, approximation and limits, and analysis of functions), the course becomes a cohesive whole, rather than a collection of unrelated topics. The course requires students to use definitions and theorems to build arguments and justify conclusions. The course features a multi-representational approach to calculus, with concepts, results, and problems expressed graphically, numerically, analytically, and verbally. Exploring connections among these representations builds understanding of how calculus applies limits to develop important ideas, definitions, formulas, and theorems. A sustained emphasis on clear communication of methods, reasoning, justifications, and conclusions is essential. Technology is used to reinforce relationships among functions, to confirm written work, to implement experimentation, and to assist in interpreting results. This course follows the College Board’s syllabus for the Advanced Placement Calculus AB Examination. AP Calculus AB is designed to be the equivalent of a first semester college calculus course devoted to topics in differential and integral calculus. Prerequisites: Successful completion of Algebra: C & C, Geometry: C & C, Advanced Algebra: C & C, and Pre-Calculus. Placement will be based on teacher and/or counselor recommendation and offered to students well qualified to meet the demands of an AP course.

AP Calculus BC: 

AP Calculus BC is designed to be the equivalent to the second semester college calculus course. AP Calculus BC applies the content and skills learned in AP Calculus AB to parametrically defined curves, polar curves, and vector-valued functions; develops additional integration techniques and applications; and introduces the topics of sequences and series. This course follows the College Board’s syllabus for the Advanced Placement Calculus BC Examination. Prerequisites: Successful completion of Algebra: C & C, Geometry: C & C, Advanced Algebra: C & C, and Pre-Calculus. This course is taken with AP Calculus AB so that you have AP Calculus all year for 90 minutes (and earn two AP math credits).