Mathematics

Four credits of Mathematics are required for graduation.

Algebra 1 - CP 411400CW

Grades: 10

Prerequisite: Successful completion of Geometry with Statistics

Algebra is the first level of college preparatory math.  Emphasis is placed on solving linear equations and inequalities, basic operations, factoring of polynomials, and applying these concepts to solve real-world problems.  Parental support is an integral part of this course.  Students are required to have a scientific or graphing calculator which is used daily in completing assignments.  Students are required to take an End-of-Course exam provided by the SC State Department of Education.  This exam counts 20 percent of the student’s final grade.

Algebra 1 – H             411405HW

Grades: 10

Prerequisite: 10th grade–B average in Geometry with Statistics 

Algebra 1 honors requires students to complete the course content that meets all SC Algebra 1 standards plus additional lessons and concepts beyond the state requirement for Algebra 1.  Algebra uses variables to generalize and extend the laws of arithmetic. The student will acquire facility in applying algebraic concepts and skills to real-world problems.  Students continue 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 non-linear functions. This course is the basis for all further study of secondary mathematics therefore mastery is essential. This course aligns with the South Carolina Academic Standards for Mathematics for Algebra 1 and the Mathematical Practice Standards. 

This course will include the study of the real number system, linear equations and inequalities, polynomials and factoring, graphing and modeling of functions and relations, quadratic and exponential relationships, as well as irrational numbers and descriptive statistics. 

This course is intended to challenge the highly motivated and high-performing student desiring an advanced study of mathematics. All Algebra 1 honors students must participate in the South Carolina End-of-Course Examination Program. This exam counts for 20% of the final grade.

Applications and Modeling - CP 411901CW

Grades: 11, 12

Prerequisite: Completion of Geometry CP and Algebra 1 CP

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. 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.

Reasoning in Mathematics - CP 411800CW

Grades: 11, 12

Prerequisite: Completion of Geometry CP and Algebra 1 CP 

Reasoning in Mathematics 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. 

Algebra 2 with Probability- CP 411500CW

Grades: 10, 11, 12

Prerequisite: Completion of Algebra 1 CP and Geometry CP; “A” average in Intermediate Algebra and teacher recommendation

Algebra 2 extends the knowledge of all concepts studied in Algebra 1 and unifies them with those concepts studied in Geometry.  Topics introduced are the set of complex numbers, and rational exponents.  A graphing calculator (TI-84) is strongly recommended.  Students are encouraged to be enrolled or have taken Algebra 2 before taking the SAT.

Algebra 2 with Probability - H       411500HW

Grades: 10, 11, 12

Prerequisite: B average in Geometry Honors 

Algebra 2 extends the knowledge of all concepts studied in Algebra I and unifies them with those concepts studied in Geometry. Topics introduced include the set of complex numbers, rational exponents, exponential and logarithmic functions, and advanced polynomial functions. Applying concepts to real world problem solving is emphasized. Students are strongly encouraged to have a scientific and graphing calculator.  TI-84 is the graphing calculator used for instruction.

Geometry with Statistics - CP       412200CW

Grades: 9, 10, 11

Prerequisite: Successful completion of 8th Grade Math 

Geometry CP concepts are introduced visually, inductively, and deductively by a variety of methods. Topics include inductive and deductive reasoning (proof), properties of polygons, constructions, transformations, area, volume, right triangles, similarity, and trigonometry.  Students are required to have a scientific (TI30xIIS) or graphing calculator (TI-84).

Geometry with Statistics - H 412200HW

Grades: 9, 10

Prerequisite:  For students taking the course in the 9th grade they will need to have a final grade of A in 8th-grade math or “Exceeds Expectations” score on the most recent SC Ready in Math, teacher recommendation. 

Honors Geometry uses an inductive approach in which students perform investigations.  Students analyze the results to develop rules and formulas based on patterns in their observations.  Concepts are introduced visually, inductively, analytically, and finally deductively (proof).  Topics are the same as studied in Geometry CP. The Honors level emphasizes deductive proof, independent thought and development of study skills.  Students are required to have a scientific or graphing calculator which is used daily in completing assignments.

Algebra 2 - CP 411502CW

Grades: 10, 11, 12

Prerequisite: Completion of Algebra 1 CP and Geometry CP; “A” average in Intermediate Algebra and teacher recommendation

Algebra 2 extends the knowledge of all concepts studied in Algebra 1 and unifies them with those concepts studied in Geometry.  Topics introduced are the set of complex numbers, and rational exponents.  A graphing calculator (TI-84) is strongly recommended.  Students are encouraged to be enrolled or have taken Algebra 2 before taking the SAT.

Algebra 2 - H   411501HW  

Grades: 10, 11, 12

Prerequisite: B average in Geometry Honors 

Algebra 2 extends the knowledge of all concepts studied in Algebra I and unifies them with those concepts studied in Geometry. Topics introduced include the set of complex numbers, rational exponents, exponential and logarithmic functions, and advanced polynomial functions. Applying concepts to real world problem solving is emphasized. Students are strongly encouraged to have a scientific and graphing calculator.  TI-84 is the graphing calculator used for instruction.

Pre-Calculus - CP 413102CW 

Grades: 11, 12

Prerequisite: C average in Algebra 2

This course develops a firm grasp of the underlying math concepts of precalculus while using algebra as a tool.  Solving real-life problems are studied through the use of discovery and exploration, integrated technology and consistent problem-solving strategies.  Topics found in this course include functions, exponents, logarithms, conics, matrices, graphs and trigonometry.  A graphing calculator (TI-84) is strongly recommended.

Pre-Calculus - H 413101HW

Grades: 11, 12

Prerequisite: B average in Algebra 2 Honors

This course is designed for the student who successfully completed Algebra 2 Honors.  Topics found in this course are functions, exponents, logarithms, matrices, polar coordinates, and trigonometry.  The correlation between the topics discussed and the real world are found in problem solving activities.   A graphing calculator (TI-84) is strongly recommended.

Calculus - H   413500HW

Grade: 12                     

Prerequisite: C average in Honors Pre-Calculus; B average in Pre-Calc CP and teacher recommendation          

Calculus is the mathematics of motion and change.  The course will cover first year calculus in two parts: differential and integral calculus.  A graphing calculator (TI-84) is strongly recommended.

AP Calculus AB and BC 417020AW, 417200AW

Grades: 11, 12

Prerequisite: “A” in Pre-Calc CP or B or better in Pre-Calc Honors and Teacher Recommendation

Two Semesters: AP Calculus AB Fall, AP Calculus BC Spring (2 units) 

This course provides a study of limits and their properties; modeling and regression; differentiation; applications of differentiation, related rates, optimization and curve sketching; integration; applications of integration including area, volume, work, and force; logarithmic differentiation, differential equations, trigonometric integrals, inverse trig functions differentiation, and integration, integration by parts, and power series and polar area. Students are required to take the AP Calculus BC examination in May. Both a BC and an AB sub-scores on the AP Exam will be forwarded to selected colleges. The course content corresponds to the syllabus established by the College Board AP Program. Graphing calculator is required. 

Statistical Modeling – CP                     412000CW

Grades: 11, 12

Prerequisite: Geometry CP or Algebra 2 and teacher recommendation

Data collection, description and analysis are studied as ways to report findings and build mathematical models for prediction and decision making. Statistics assess the usefulness of models. Applications to business, social science and health science are included. A graphing calculator (TI-84) is strongly recommended.

Statistical Modeling - H             412000HW

Grades: 11, 12

Prerequisite: C or better in Algebra 2H or Pre-Calculus H or B or better in Alg2 CP or Pre-Calculus CP

This advanced level math course prepares students for entering AP Prob/Stat or an introductory college course in statistics. Data collection, description and analysis are studied as ways to report findings and build mathematical models for prediction and decision making. Probability is used to assess the usefulness of models. Applications to business, social science and health science are included. Designing experiments and testing hypotheses are included in this course. Binomial and geometric distributions are introduced. A graphing calculator (TI-84) is strongly recommended.

Statistics - AP   417100AW

Grade: 11, 12

Prerequisite: Statistics H must be taken in consecutive semesters

This is an advanced level math course which prepares students for a national AP Statistics exam. An adequate score on the national exam may earn college credit for an introductory college course in statistics. Choosing data collection methods, designing experiments and testing hypotheses are included in this course with additional emphasis being given to communicating and justifying methods and conclusions. A graphing calculator (TI-84) is strongly recommended.

SREB Ready for College Math CP 314600CW

Grade: 11, 12

Prerequisite: Approval by school administration, Geometry CP

This course emphasizes an understanding of math concepts, as opposed to memorizing facts. Math Ready students learn the context behind procedures and come to understand the “whys” of using certain formulas or methods to solve a problem. By engaging students in real-world applications, this course develops critical-thinking skills that students will use in college and careers.  This course is not approved by the NCAA for potential collegiate athletes and it is not approved for entrance into a 4-year University.  It is not designed to prepare students for advanced mathematics in STEM majors.

Discrete Mathematics – CP                414200CW

Grades: 11, 12

Prerequisite: Geometry CP or Algebra 2 

If a student is on the 4-year University pathway, the prerequisite is completion of Algebra 2

If a student is NOT on the 4-year University pathway, the prerequisite is the completion of Geometry

Discrete Mathematics introduces students to the mathematics of networks, social choice, and decision making. The course extends students’ application of matrix arithmetic and probability. Applications and modeling are central to this course of study. Appropriate technology, from manipulatives to calculators and application software should be used regularly for instruction and assessment.

Dual Credit Courses

FMSD offers “Dual Credit MATH 110: College Algebra” and “Dual Credit Math 120: Probability and Statistics” through York Technical College.  See Dual Credit page for more information.