Mathematics
Course Sequence at SHS

Intermediate Algebra

Open to: Successful completion of Linear Algebra

Length: Year-long

This is the first year of a four year sequential curriculum of theory and problem based mathematics. This is an introductory course stressing problem solving using the language of algebra. Algebraic solutions communicate mathematical ideas with clarity and precision. Topics include: functions, transformations, data analysis and probability, formulas, sets, factoring, linear and quadratic equations, graphing, radicals, and problem solving. In this course, students will be introduced to the graphing calculator. This algebra course is required for college entrance exams, high school chemistry and physics, and careers in science, math, law, and most trades and businesses.


Geometry

Open to: All students

Prerequisite: Successful completion of Intermediate Algebra

Length: Year-long

This is the second year of the sequential curriculum in which the relationships between lines, points, and solids is studied as a mathematical system based on Euclidean geometry. Topics include the deductive methods of proof, geometric constructions, and the practical applications of plane and solid geometric principles. Success on college entrance examinations requires a geometry background. Connections between Algebra and Geometry will be explored and Algebra 1 skills will be reviewed. Students will be retested in the spring to make sure their algebra skills are adequate before being recommended for a second year of algebra.


Algebra 2

Open to: All students

Prerequisite: Successful completion of Geometry and Algebra 1

Length: Year-long

This is the third year of the sequential curriculum. Topics covered include various mathematical functions – linear, quadratic, polynomial, exponential – and their graphs. Also included are developing skills with radicals, factoring, complex numbers, sequences and series, and matrices and determinants. Trigonometric ratios, functions, identities, equations, solving triangles and problem solving by trigonometry are covered in the trigonometry units. Graphing calculators are used as tools for learning and problem solving. This course is a prerequisite for most colleges and universities.


Algebra/Geometry/Statistics (AGS)

Open to: 12th grade students with teacher recommendation

Length: Year-long

This course is intended for seniors who have not taken or have not successfully completed all four quarters of intermediate algebra, geometry or advanced algebra.  Students will learn high school-level algebra, geometry, and statistics and review ideas learned in previous high school math courses.  The course will also include a significant amount of review of the topics on the MCA GRAD test, as some students in the class may need to retake this test. In addition, this course will include a unit on financial literacy.

 

College Algebra and Statistics (CAS)

Open to: 11th and 12th grade students with teacher recommendation

Prerequisite: Passed at least 3 quarters of advanced algebra in the previous year

Length: Year-long

This course is for juniors and seniors who have taken and passed at least 3 quarters of advanced algebra in the previous year, but with some difficulties.  This course is intended to be a comprehensive math course for college bound students.  The course content will be similar to that of algebra and statistics courses taught at a two-year college.  The goal of this course is to help students prepare to take further mathematics at South or in college and successfully retake the MCA GRAD test, if applicable.


Pre-Calculus

Open to: All students

Prerequisite: Successful completion of Algebra 2

Length: Year-long

This is the fourth year of the sequential curriculum. Analysis is a year-long pre-calculus course, which uses all prerequisite mathematics in the further study of algebra and trigonometry. The general topics included in this course are: polynomial functions, inequalities, logarithms, trigonometric functions, complex numbers, sequence and series, and analytic geometry.


Advanced Placement Calculus A/B

Open to: All students

Prerequisite: Successful completion of Pre-calculus

Length: Year-long

This is a one-year course in differential and integral calculus. A college level textbook is used. Students in the course prepare for the College Entrance Examination for Advanced Placement in Calculus AB that is given in May. Some colleges or universities may grant credit and/or advanced placement based on the score received on the exam. Applications using graphing calculators will be included.


Advanced Placement Calculus B/C

Open to: All students

Prerequisite: Successful completion of Pre-Calculus

Length: Year-long

This one-year course covers the topics of infinite series, parametric equations, and polar graphs that are necessary to prepare the student to take the Advanced Placement Calculus BC examination given in May. Some college and universities may grant credit and/or advanced placement based on the score received on the exam.


Advanced Placement Statistics

Open to: All students

Prerequisite: Successful completion of Algebra 2 or Pre-approval

Length: Year-long

Advanced Placement Statistics acquaints students with the major concepts and tools for collecting and analyzing data and drawing conclusions from that data. Students will frequently work on projects involving the hands-on gathering and analysis of real world data. Ideas and computations presented in this course have immediate links and connections with actual events. Computers and calculators will allow students to focus deeply on the concepts involved in statistics. This course prepares students for the Advanced Placement Examination in Statistics.