Math

Prerequisite: District Recommendation

Geometry with Statistics (GS) builds on students’ informal math experiences in the middle grades. As the first of four required courses in high school mathematics, GS strengthens algebraic skills to enable students to investigate the basic structure of geometry.  Using manipulatives, visual representations and dynamic software, the students explore the conceptual ideas behind the definitions, postulates and theorems of geometry. Topics of study include: deductive reasoning through proof and problem solving, developing powers of spatial visualization, building knowledge of the relationships among geometric elements, and developing precision of mathematical language. This course enables students to solve problems about objects and shapes in two- and three-dimensions, including theorems about universal truths and spatial reasoning. Aligned with the  SC College and Career Ready Standards for Mathematics for Geometry, this course is designed to enrich critical thinking skills and prepare students for higher levels of thinking in mathematics.
 

Prerequisite:  District Recommendation

Geometry with Statistics (GS) builds on students’ informal mathematical experiences in the middle grades. As the first of four required courses in high school mathematics, GS strengthens algebraic skills to enable students to investigate the basic structure of geometry.  Using manipulatives, visual representations and dynamic software, the students explore the conceptual ideas behind the definitions, postulates and theorems of geometry. Topics of study include: deductive reasoning through proof and problem solving, developing powers of spatial visualization, building knowledge of the relationships among geometric elements, and developing precision of mathematical language. This course enables students to solve problems about objects and shapes in two- and three-dimensions, including theorems about universal truths and spatial reasoning. 

The Honors Geometry course differs from Geometry CP with the inclusion of formal two-column Euclidean proofs.  It is the expectation that honors students prove theorems and postulates before using them in applications.  Aligned with the  SC College and Career Ready Standards for Mathematics for Geometry, this course is designed to enrich critical thinking skills and prepare students for higher levels of thinking in mathematics.

Prerequisite: Geometry with Statistics

Aligned with the  SC College and Career Ready Standards for Mathematics, Algebra 1 (A1) serves as a study of linear, quadratic, exponential, and absolute value functions. Statistical reasoning is also added to learn how data are represented and interpreted and how models, particularly linear, can be used to make predictions. The study of algebra is inextricably linked to the study of functions, which are fundamental objects in mathematics that model many life situations involving change. A1 provides experiences for students to see how mathematics can be used systematically to represent patterns and relationships among numbers and other objects, analyze change, and model everyday events and problems of life and society. Graphing is a vital component of this course and allows students to visualize the behavior of functions.  At the end of the course, students will take a South Carolina End of Course Assessment that will count 20% of the course grade.
 

Prerequisite: Geometry with Statistics >  Algebra 1

Algebra 2 with Probability CP (A2P) is a course designed for students seeking access to higher levels of mathematics after studying Geometry and Algebra 1.  A2P serves to deepen understanding and intuition about a wide variety of functions such as polynomial, rational, radical, exponential, piecewise, and beginning trigonometry. Building on principles learned from Geometry and Algebra 1, the purpose of this course is to graphically investigate and compare functions, analyze rates of change, and determine solutions of “real world” problems at a higher conceptual level than can be achieved algebraically. Instruction includes the use of a graphing calculator or a computer algebra system to enable students to visualize mathematics and increase their conceptual understanding. In addition to increasing student knowledge of “parent functions,” A2P also includes the study of complex numbers, matrices and probability. Graphing calculators and dynamic software are used to help students visualize mathematics.

Prerequisite/ Geometry with Statistics Honors

The purpose of this study is for students to acquire the facility to apply algebraic concepts and skills to real-world problems.  This course is the basis for all further study of honors-level mathematics.  A student enrolling in this course should have demonstrated a high-level mastery of K-8 fundamental concepts and operations of arithmetic, a basic understanding of linear relationships, and a high-level mastery of geometric concepts and relationships.  This course will include the study of the real number system, linear equations and inequalities, linear absolute value equations, polynomials and factoring, graphing and modeling of functions and relations, quadratic and exponential relationships, as well as irrational numbers and descriptive statistics.  Students will work at an accelerated pace and with above-grade-level content.This course uses a graphing calculator as well as other graphing utilities.  This course is intended to challenge the highly motivated and the high-performing students desiring an advanced study of mathematics.  This source meets the state requirements for honors courses and is based on the South Carolina College and Career Ready Standards for mathematics for Algebra 1.  All Algebra 1 students will be required to participate in the statewide End-of-Course Examination Program, which counts as 20 percent the final grade.  

Prerequisite: Geometry with Statistics

Aligned with the  SC College and Career Ready Standards for Mathematics, Algebra 1 (A1) serves as a study of linear, quadratic, exponential, and absolute value functions. Statistical reasoning is also added to learn how data are represented and interpreted and how models, particularly linear, can be used to make predictions. The study of algebra is inextricably linked to the study of functions, which are fundamental objects in mathematics that model many life situations involving change. A1 provides experiences for students to see how mathematics can be used systematically to represent patterns and relationships among numbers and other objects, analyze change, and model everyday events and problems of life and society. Graphing is a vital component of this course and allows students to visualize the behavior of functions.  At the end of the course, students will take a South Carolina End of Course Assessment that will count 20% of the course grade.
 

Prerequisite: Geometry with Statistics Hon > Algebra 1

Algebra 2 with Probability CP (A2P) is a course designed for students seeking access to higher levels of mathematics after studying Geometry and Algebra 1. A2P serves to deepen understanding and intuition about a wide variety of functions such as polynomial, rational, radical, exponential, piecewise, and beginning trigonometry. Building on principles learned from Geometry and Algebra 1, the purpose of this course is to graphically investigate and compare functions, analyze rates of change, and determine solutions of “real world” problems at a higher conceptual level than can be achieved algebraically. Instruction includes the use of a graphing calculator or a computer algebra system to enable students to visualize mathematics and increase their conceptual understanding. In addition to increasing student knowledge of “parent functions,” A2P also includes the study of complex numbers, matrices and probability. Graphing calculators and dynamic software are used to help students visualize mathematics.

In addition to the topics taught in Algebra 2 with Probability (A2P) CP, students in A2P Honors sections will study functions at a more rigorous level.  They will also unwrap unit circles, study introductory logarithms and inequalities more deeply.  The use of graphing calculators is mandatory in this course.  Students will be required to demonstrate understanding of concepts on major assessments with and without a graphing utility.

Prerequisite: Geometry with Statistics > Algebra 1 > Algebra 2 with Probability

Aligned to the South Carolina College- and Career-Ready (SC CCR) standards, Pre-Calculus (PC) serves as a study of piecewise, rational, radical, exponential, logarithmic, and trigonometric functions with their applications. Additionally, the course addresses the study of polar coordinates, conic sections, vectors, matrices, inverses and compositions of functions.. Mathematical modeling, a vital component of the course, involves creating appropriate equations, graphs, functions, or other mathematical representations to analyze real-world situations and answer questions. The use of technological tools, such as hand-held graphing calculators and computer algebra systems, enables students to create and analyze mathematical representations used in the modeling process. This course builds on previously learned functions and prepares students for continued study in mathematics post high school.

Prerequisite: Geometry with Statistics Hon > Algebra 1 > Algebra 2 with Probability Hon

Aligned to the South Carolina College- and Career-Ready (SC CCR) standards, Pre-Calculus (PC) serves as a study of piecewise, rational, radical, exponential, logarithmic, and trigonometric functions with their applications. Additionally, the course addresses the study of polar coordinates, conic sections, vectors, matrices, inverses and compositions of functions.. Mathematical modeling, a vital component of the course, involves creating appropriate equations, graphs, functions, or other mathematical representations to analyze real-world situations and answer questions. The use of technological tools, such as hand-held graphing calculators and computer algebra systems, enables students to create and analyze mathematical representations used in the modeling process. This course builds on previously learned functions and prepares students for continued study in mathematics post high school.

In addition to teaching the standards from Pre-Calculus (PC) CP at a more rigorous level, PC Honors coursework will introduce students to Limits and Continuity. The use of a computer algebra system is mandatory for this course. Students will be required to demonstrate understanding of concepts on major assessments with and without a graphing utility.

Prerequisite: Geometry with Statistics > Algebra 1

Reasoning in Mathematics (RM) engages students in relevant problems that focus on how mathematics and statistics inform decision making. It prepares students for post-secondary options with instruction that focuses on modeling real-world situations. Topics include statistical reasoning and variability, matrices, truth tables, approximation, linear regression, real-world scenarios involving investments and loans, piecewise and exponential data. This course uses a graphing calculator and other graphing utilities. (Colleges will not recognize this course as a mathematics course.)

Prerequisite: Geometry with Statistics > Algebra 1

Applications and Modeling (AM) is a specialized mathematics course developed to expand on and reinforce the concepts introduced in Geometry with Statistics and Algebra 1 by using those concepts to represent and analyze data and make predictions and inform judgments about real-world phenomena. In this course, students explore decision-making for financial planning and management, design in three dimensions, interpret statistical studies, and create functions that model problems faced by society.

AM is designed to engage students in doing, thinking about, and discussing mathematics, statistics, and modeling in everyday life. It allows students to experience mathematics and its applications in a variety of ways that promote financial literacy and career-based decision-making. Measurements are taken from the real world, and technology is used extensively for computation, with an emphasis on students’ interpretation and explanation of results in context. This course uses a graphing calculator and other graphing utilities. (Colleges will not recognize this course as a mathematics course.)

Prerequisite: Geometry with Statistics > Algebra 1 > Algebra 2 with Probability

Statistical Modeling (SM) is a course that extends students’ understanding of statistics. The SM course offers students opportunities to strengthen their understanding of the statistical method of inquiry and statistical simulations. Students will formulate statistical investigative questions to be answered using data, design and implement a plan to collect the appropriate data, select appropriate graphical and numerical methods for data analysis, and interpret their results to make connections with the initial question. The process standards, through a statistical lens, will provide the foundation for instruction and assessment. Topics are introduced and assessed using simulations and appropriate supporting technology. This course uses a graphing calculator and other graphing utilities.

Statistical Inquiry Process: Developing Statistical Questions, Collecting Data, Analyzing Data, Interpreting Results

Prerequisite: Geometry with Statistics > Algebra 1 > Algebra 2 with Probability

Discrete Mathematics (DM) is a collection of methods for studying big data analytics. It includes the study of the principles of number theory, classification and comparison of objects, use of matrices to model and solve problems, use of a recursion model, analysis of numbers with different bases, data probability and statistical reasoning in real-world situations, use of graph theory, and the principles of logic theory. Topics addressed in DM are applicable to environmental and economic real-world issues that dominate modern life. They include statistics, voting and social choice, fairness and game theory, size and growth, finances and resources. This course uses a graphing calculator and other graphing utilities.

Prerequisite: Geometry with Statistics Hon, Algebra 1, Algebra 2 with Probability Hon

This course is appropriate for students pursuing a degree in mathematics, health science, engineering, psychology, sociology or business. Topics include exploring data, planning a statistical study, anticipating patterns using probability and simulations, and drawing statistical inferences. The College Board determines the course description, so the content must adhere to those requirements. This course is equivalent to an introductory non-calculus college course in statistics and can potentially earn students 3 hours of college credit. This course uses a graphing calculator and other graphing utilities.

Prerequisite: Geometry with Statistics > Algebra 1 > Algebra 2 with Probability > Pre-Calculus

This course is for students who have completed Pre-Calculus, and desire an introduction to college calculus, but elect not to enroll in Advanced Placement Calculus. It is intended for students who plan to pursue a degree at a four-year college or university that requires the successful completion of a calculus course. Students review important mathematical principles from Pre-Calculus and extend into Calculus applications with each topic. Topics of study include primary functions such as polynomial and rational functions, trigonometric, exponential, and logarithmic functions; limits, derivatives; applications of differentiation; and basic integration. Students do not sit for an AP exam in Calculus Honors. but they do receive a high school mathematics credit and a strong course in college calculus. This course uses a graphing calculator and other graphing utilities.

Prerequisite: PreCalculus

This course provides a study of elementary functions and introductory college calculus. Topics of study include primary functions, including polynomial and rational functions, trigonometric, exponential, and logarithmic functions, units, derivatives, applications of differentiation, and basic integration. This course uses a graphing calculator and other graphing utilities. Course content corresponds to the syllabus established by the College Board Advanced Placement Program and equates to 1.5 semesters of college calculus. Students are required to take the AP Calculus AB Examination for which placement and/or credit may be awarded at the college level if a qualifying score is obtained. All students are concurrently enrolled in the Calculus AB Lab (honors weight) with this course.

Prerequisite: Pre-Calculus Honors

Calculus BC extends the Calculus AB content to different types of equations and introduces the topic of sequences and series. The AP course covers topics in differential and integral calculus, including concepts and skills of limits, derivatives, definite integrals, the Fundamental Theorem of Calculus, and series. The course teaches students to approach calculus concepts and problems when they are represented graphically, numerically, analytically, and verbally, and to make connections among these representations. Students learn how to use technology to help solve problems, experiment, interpret results, and support conclusions. This course uses a graphing calculator and other graphing utilities. AP Calculus BC content corresponds to the syllabus established by the College Board Advanced Placement Program is roughly equivalent to both first and second-semester college calculus courses. Students are required to take the AP Calculus BC Examination for which placement and/or credit may be awarded at the college level if a qualifying score is obtained. Students will also receive a Calculus AB subscore from the AP Exam. Pre-Calculus Honors is a prerequisite for this course. It is recommended that students make an A or B in Pre-Calculus Honors and a score of at least 550 on the PSAT.