Course Descriptions

Foundations in Algebra is the first course in a two-course sequence designed to prepare students for success in mathematics courses by providing a strong Foundation in Algebra, Probability, and Statistics. Foundations of Algebra A includes the study of algebraic concepts including operations with real numbers and polynomials, relations and functions, creation, graphing and application of linear functions and relations, and an introduction to nonlinear functions. Instruction will focus on a balance between procedural and conceptual understanding to prepare students for Intermediate Algebra, the next course in sequence. Appropriate technology, calculators and application software, will be used regularly for instruction and assessment.

Foundations in Algebra is the first course in a two-course sequence designed to prepare students for success in mathematics courses by providing a strong Foundation in Algebra, Probability, and Statistics. Foundations of Algebra B includes the study of exponential growth and decay functions, polynomials, quadratic functions, scatter plots, correlation and linear regression. Instruction will focus on a balance between procedural and conceptual understanding to prepare students for Intermediate Algebra, the next course in sequence. Appropriate technology, calculators and application software, will be used regularly for instruction and assessment.

Intermediate Algebra is the second course in a two-course sequence from Foundations in Algebra. This is designed to emphasize more conceptual understanding with modeling of mathematics in real-world situations that may arise in different disciplines. Key concepts in Part A include relationships between quantities, expressions and equations, understanding functions, quadratics and complex numbers, and polynomials. Appropriate technology, calculators and application software, will be used regularly for instruction and assessment. Part A is followed by Part B, then the End of Course Exam (EOC). Every student must take the Algebra 1 End of Course Exam. The exam is 20% of the final grade for the course (Parts A & B).

Intermediate Algebra is the second course in a two-course sequence from Foundations in Algebra. This is designed to emphasize more conceptual understanding with modeling of mathematics in real-world situations that may arise in different disciplines. Key concepts in Part B include rational functions, radical functions, exponential functions, mathematical modeling, and sequences. Appropriate technology, calculators and application software, will be used regularly for instruction and assessment. Every student must take the Algebra 1 End of Course Exam. The exam is 20% of the final grade for the course (Parts A & B).

This course prepares students for more abstract algebraic thinking in mathematics by performing problem solving techniques that are more intensive in preparation for Geometry and Algebra 2. Concepts covered in Part A include representing relationships, linear functions, linear equations/inequalities, systems of equations/inequalities and, nonlinear functions. Part A is followed by Part B, then the End of Course Exam (EOC). Every student must take the Algebra 1 End of Course Exam. The exam is 20% of the final grade for the course (Parts A & B).

This course prepares students for more abstract algebraic thinking in mathematics by performing problem solving techniques that are more intensive in preparation for Geometry and Algebra 2. Concepts covered in Part B include exponential functions, polynomial expressions, quadratic functions, quadratic equations, linear modeling and regression. End of Course Examination will be taken upon completion of Algebra 1B. Every student must take the Algebra 1 End of Course Exam. The exam is 20% of the final grade for the course (Parts A & B).

Algebra Honors requires students to complete lessons that meet all SC Algebra 1 standards plus additional lessons, and concepts beyond the state requirements. Students completing this challenging course will earn honors credit and the affiliated elevated grade point average. This course prepares students for more abstract algebraic thinking in mathematics by performing problem-solving techniques that are more intensive in preparation for Geometry and Algebra 2. Concepts covered in Part A include representing relationships, linear functions, linear equations/inequalities, systems of equations/inequalities and, nonlinear functions. Part A is followed by Part B, then the End of Course Exam (EOC). Every student must take the Algebra 1 End of Course Exam. The exam is 20% of the final grade for the course (Parts A & B).

Algebra Honors requires students to complete lessons that meet all SC Algebra 1 standards plus additional lessons, and concepts beyond the state requirements. Students completing this challenging course will earn honors credit and the affiliated elevated grade point average. This course prepares students for more abstract algebraic thinking in mathematics by performing problem solving techniques that are more intensive in preparation for Geometry and Algebra 2. Concepts covered in Part B include exponential functions, polynomial expressions, quadratic functions, quadratic equations, linear modeling and regression. End of Course Examination will be taken upon completion of Algebra 1B. Every student must take the Algebra 1 End of Course Exam. The exam is 20% of the final grade for the course (Parts A & B).

Algebra 2 builds on concepts first introduced in Algebra 1. The course begins with a review of relationships between quantities, understanding functions, and quadratics first covered in Algebra 1. The course then goes in depth on concepts including the fundamental theorem of algebra, graphing polynomial functions, composite functions, inverse functions and rational functions.

Honors Algebra 2A is an intensive and rigorous course designed primarily for students who plan to major in mathematics or science in college or who are talented in mathematics. This course contains an in depth study to include linear, quadratic, absolute value, and radical functions, systems of equations and inequalities, inversions, compositions, and concepts of number systems with an emphasis on critical and analytical thinking, rational decision- making, and inductive and deductive reasoning. Study includes both math theory and real-life application of concepts.

Algebra 2B is the continuation of Algebra 2A and includes the study of radical functions, exponential and logarithmic functions, systems of equations, piecewise functions, joint and combined variation, and sequences.

Honors Algebra 2B is a continuation of Honors Algebra 2A as an accelerated college preparatory course designed primarily for students who plan to major in mathematics or science in college or who are talented in mathematics. This course contains an in-depth study to include rational functions, radical functions, exponential and logarithmic functions, probability distributions, trigonometric functions, mathematical modeling. Study includes both math theory and real-life application of concepts. Appropriate technology, including calculators and application software, is used regularly for instruction and assessment.

This course formalizes what students have learned about geometry in the middle grades, with a focus on reasoning and making mathematical arguments. Concepts covered include foundations of Euclidean geometry, geometric transformations, constructions, angles and lines, triangles, triangle congruence, and similarity transformations. Concepts in this course build on each other. Students will be expected to apply definitions, axioms, theorems, postulates, etc. throughout this course once they have been introduced.

This course is the continuation of Geometry A and includes the study of right triangle relationships, trigonometry, quadrilaterals, coordinate algebra, circles, geometric modeling in two dimensions, three-dimensional geometry, surface area, and volume. The course winds up with some data analysis to include measures of center, box plots, and standard deviation. Students will be expected to apply definitions, axioms, theorems, postulates, etc. throughout this course once they have been introduced as well as applying those covered in part A.

This is a college-preparatory course designed primarily for students who plan to major in mathematics or science, a related field in college, or who are talented in mathematics. This rigorous course utilizes advanced analytical methods to prove geometric relationships. Strong emphasis is placed on deductive methods of proofs. Students must be strong problem-solvers who can reason through given information to make valid conclusions with independence. Topics in part A include foundations of Euclidean Geometry, geometric transformations, angles, lines, triangles, triangles congruence, and similarity transformations.

This is a college-preparatory course designed primarily for students who plan to major in mathematics or science, a related field in college, or who are talented in mathematics. This rigorous course utilizes advanced analytical methods to prove geometric relationships. Strong emphasis is placed on deductive methods of proofs. Students must be strong problem-solvers who can reason through given information to make valid conclusions with independence. Topics in part B include right triangle relationships, trigonometry, quadrilaterals, coordinate algebra, circles, conics, geometric modeling, surface area, and volume.

With an emphasis on function families and their representations, Precalculus is a thoughtful introduction to advanced studies leading to calculus. The course briefly reviews linear equations, inequalities, and systems and moves purposefully into the study of functions. Part A then covers analytic trigonometry with circles, complex numbers, and polar coordinates.

With an emphasis on function families and their representations, Precalculus is a thoughtful introduction to advanced studies leading to calculus. Part B concludes the study of precalculus with topics including rational functions, radical functions, exponential functions, radical functions, vectors, matrices, and analytic geometry.

With an emphasis on function families and their representations, Precalculus is a thoughtful introduction to advanced studies leading to calculus. The course briefly reviews linear equations, inequalities, and systems and moves purposefully into the study of functions. Part A then covers analytic trigonometry with circles, vectors, law of sines, law of cosines, and dot products.

With an emphasis on function families and their representations, Precalculus is a thoughtful introduction to advanced studies leading to calculus. Part B concludes the study of precalculus with topics including matrices, solving systems with matrices, conic equations, analytic geometry, sequences, and an introduction to calculus.

This course is designed to give students the tools to be successful at data analysis and inference. The course encompasses descriptive statistics, probability theory, and inferential statistics. Students are expected to utilize scientific calculators, graphing calculators, and/or computer software throughout the course. Topics covered in Part A include data analysis, the normal distribution, simple linear regression, sampling, experimentation, and probability.

This course is designed to give students the tools to be successful at data analysis and inference. The course encompasses descriptive statistics, probability theory, and inferential statistics. Students are expected to utilize scientific calculators, graphing calculators, and/or computer software throughout the course. Topics covered in Part B include random variables, sampling distributions, estimating proportions with confidence, testing claims, and estimating means.

The purpose of this course is to provide a study of elementary functions and introductory college calculus. Course content corresponds to the syllabus established by the College Board Advanced Placement Program. Students are required to take the AP Calculus AB Examination in May, after completion of part B, from which placement and/or credit may be awarded at the college level if a qualifying score is obtained. Content covered in Part A includes a review of precalculus concepts, limits and continuity, and differentiation. Students will work with a variety of functions including polynomial, trigonometric, and logarithmic. Emphasis will be placed on applications.

The purpose of this course is to provide a study of elementary functions and introductory college calculus. Course content corresponds to the syllabus established by the College Board Advanced Placement Program. Students are required to take the AP Calculus AB Examination in May from which placement and/or credit may be awarded at the college level if a qualifying score is obtained. Content covered in Part B includes integration, modeling using differential equations, and applications of definite integrals. Students will have an extensive review and take several practice exams in preparation for the AP exam.

AP Statistics is a college level course that focuses on the use of tools for collecting, analyzing, and drawing conclusions from data. Course content corresponds to the syllabus established by the College Board Advanced Placement Program. Students are required to take the AP Calculus AB Examination in May, after completion of part B, from which placement and/or credit may be awarded at the college level if a qualifying score is obtained. Concepts covered in Part A include displaying data, measures of variability, the normal distribution, simple linear regression, sampling and experimentation, and an introduction to probability.

AP Statistics is a college-level course that focuses on the use of tools for collecting, analyzing, and drawing conclusions from data. Upon completion of Part B, students will take the AP exam. Students may earn credit at the college level if a qualifying score is obtained. Concepts covered in part B include sampling distributions, estimating proportions with confidence, testing claims about proportions, estimating means with confidence, testing claims about means, and inference for distributions and relationships. Students will have an extensive review and take several practice exams in preparation for the AP exam.