• Longhorn  Mathematics Courses


     
     
    GSE Algebra I
    (Prerequisite: Successful completion of 8th grade math)
     
    Algebra I is the first course in a sequence of three required high school courses designed to ensure career and college readiness. The course represents a discrete study of algebra with correlated statistics applications.
     
     
     
    GSE Geometry
    (Prerequisite: Successful completion of GSE Algebra I)
     
    Geometry is the second course in a sequence of three required high school courses designed to ensure career and college readiness. The course represents a discrete study of geometry with correlated statistics applications.
     
     
    GSE Algebra II
    (Prerequisite: Successful completion of GSE Geometry(unless enrolled in Geometry simultaneously))
     
    This is the culminating course in a sequence of three high school courses designed to ensure career and college readiness. It is designed to prepare students for fourth course options relevant to their career pursuits. The course requires that students:
    • Use complex numbers in polynomial identities and equations.
    • Interpret the structure of expressions; write expressions in equivalent forms to solve problems
    • Perform arithmetic operations on polynomials
    • Understand the relationship between zeros and factors of polynomials
    • Use polynomial identities to solve problems
    • Rewrite rational expressions
    • Create equations that describe numbers or relationships
    • Understand solving equations as a process of reasoning and explain the reasoning
    • Solve systems of equations; represent and solve equations and inequalities graphically
    • Interpret functions that arise in applications in terms of the context; analyze functions using different representations
    • Build a function that models a relationship between two quantities; build new functions from existing functions
    • Summarize, represent, and interpret data on a single count or measurement variable
    • Understand and evaluate random processes underlying statistical experiments
    • Make inferences and justify conclusions from sample surveys, experiments, and observational studies
    • GSE Pre-Calculus
      (Prerequisite: Successful completion of GSE Algebra II)
       
      This is a fourth mathematics course designed to prepare students for calculus and other college level mathematics courses. The course requires that students:
      • Perform arithmetic operations with complex numbers
      • Represent complex numbers and their operations on the complex plane
      • Represent and model with vector quantities
      • Perform operations on vectors
      • Perform operations on matrices and use matrices in applications
      • Solve systems of equations
      • Build new functions from existing functions
      • Extend the domain of trigonometric functions using the unit circle
      • Model periodic phenomena with trigonometric functions
      • Prove and apply trigonometric identities
      • Apply trigonometry to general triangles
      • Translate between the geometric description and the equation for a conic section
      • Use the rules of probability to compute probabilities of compound events in a uniform probability model
      • Calculate expected values and use them to solve problems
      • Use probability to evaluate outcomes of decisions
       
      Accelerated GSE Algebra I/Geometry A
      (Prerequisite: Successful completion of Accelerated 7th grade math or Advanced 8th grade math)
       
      This is the first in a sequence of mathematics courses designed to ensure that students are prepared to take higher‐level mathematics courses during their high school career, including Advanced Placement Calculus AB, Advanced Placement Calculus BC, and Advanced Placement Statistics. The state mandated Georgia Milestones End of Course Assessment is required and counts 20% of the student’s overall course grade. The course requires that students:
      • Reason quantitatively and use units to solve problems
      • Interpret the structure of expressions
      • Create linear and exponential equations that describe numbers or relationships
      • Understand solving equations as a process of reasoning and explain the reasoning
      • Solve equations and inequalities in one variable and systems of linear equations
      • Represent and solve equations and inequalities graphically
      • Understand the concept of a function and use function notation
      • Interpret functions that arise in applications in terms of the context
      • Analyze functions using different representations
      • Reason quantitatively and use units to solve problems
      • Interpret the structure of expressions
      • Create linear and exponential equations that describe numbers or relationships
      • Understand solving equations as a process of reasoning and explain the reasoning
      • Solve equations and inequalities in one variable and systems of linear equations
      • Represent and solve equations and inequalities graphically
      • Understand the concept of a function and use function notation
      • Interpret functions that arise in applications in terms of the context
      • Analyze functions using different representations 
       
      Accelerated GSE Geometry B/Algebra II
      (Prerequisite: Successful completion of Accelerated GSE Algebra I/Geometry A)
       
      This is the second in a sequence of mathematics courses designed to ensure that students are prepared to take higher‐level mathematics courses during their high school career, including Advanced Placement Calculus AB, Advanced Placement Calculus BC, and Advanced Placement Statistics.The state mandated Georgia Milestones End of Course Assessment is required and counts 20% of the student’s overall course grade. The course requires that students:
      • Extend the properties of exponents to rational exponents
      • Use properties of rational and irrational numbers; perform arithmetic operations with complex numbers
      • Perform arithmetic operations on polynomials
      • Use complex numbers in polynomial identities and equations
      • Interpret the structure of expressions; write expressions in equivalent forms to solve problems
      • Understand the relationship between zeros and factors of polynomials
      • Use polynomial identities to solve problems
      • Create equations that describe numbers or relationships
      • Understand solving equations as a process of reasoning and explain the reasoning
      • Solve equations and inequalities in one variable
      • Solve systems of equations; represent and solve equations and inequalities graphically
      • Interpret functions that arise in applications in terms of the context; analyze functions using different representations
      • Build a function that models a relationship between two quantities; build new functions from existing functions
      • Construct and compare linear, quadratic, and exponential models and solve problems
      • Extend the domain of trigonometric functions using the unit circle
      • Model periodic phenomena with trigonometric functions
      • Prove and apply trigonometric identities
      • Translate between the geometric description and the equation for a conic section
      • Use coordinates to prove simple geometric theorems algebraically
      • Visualize relationships between two-dimensional and three-dimensional objects;
      • Apply geometric concepts in modeling situations
      • Summarize, represent, and interpret data on a single count or measurement variable
      • Summarize, represent, and interpret data on two categorical and quantitative variables
      • Understand and evaluate random processes underlying statistical experiments
      • Make inferences and justify conclusions from sample surveys, experiments, and observational studies 
      • Perform operations on matrices and use matrices in applications

      Accelerated GSE Pre-Calculus
      (Prerequisite: Successful completion of Accelerated GSE Geometry B/Algebra II)

      This is the third in a sequence of mathematics courses designed to ensure that students are prepared to take higher‐level mathematics courses during their high school career, including Advanced Placement Calculus AB, Advanced Placement Calculus BC, and Advanced Placement Statistics. The course requires that students:
      • Perform arithmetic operations with complex numbers.
      • Represent complex numbers and their operations on the complex plane.
      • Represent and model with vector quantities
      • Perform operations on vectors.
      • Rewrite rational expressions
      • Solve systems of equations
      • Build new functions from existing functions
      • Extend the domain of trigonometric functions using the unit circle
      • Model periodic phenomena with trigonometric functions
      • Prove and apply trigonometric identities
      • Apply trigonometry to general triangles
      • Translate between the geometric description and the equation for a conic section
      • Use the rules of probability to compute probabilities of compound events in a uniform probability model
      • Calculate expected values and use them to solve problems
      • Use probability to evaluate outcomes of decisions
      • Advanced Mathematical Decision Making
        AMDM is designed to follow the completion of Algebra II. The course will give students further experiences with statistical information 
        and summaries, methods of designing and conducting statistical studies, an opportunity to analyze various voting processes, modeling of data, basic financial decisions, and use network models for making informed decisions.
         
        Statistical Reasoning
        Statistical Reasoning is a fourth mathematics course option for students who have completed Algebra II, Advanced Algebra, Accelerated Geometry B/Algebra II, or Accelerated Analytic Geometry B/Advanced Algebra. The course provides experiences in statistics beyond the CCGPS sequence of courses, offering students opportunities to strengthen their understanding of the statistical method of inquiry and statistical simulations. Students will formulate statistical questions to be answered using data, will design and implement a plan to collect the appropriate data, will select appropriate graphical and numerical methods for data analysis, and will interpret their results to make connections with the initial question.

        AP Statistics 
        AP Statistics is a course in the Advanced Placement (AP) Program developed by the College Board. AP Statistics is designed to be the secondary school equivalent, upon taking the Advanced Placement Examination, to a one-semester, introductory, non-calculus based, college course in statistics. Its purpose is to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. AP Statistics has four themes: exploring data, planning a study, anticipating patterns, and statistical inference. Students enrolled in this course are expected to take the Advanced Placement examination in AP Statistics in May. 

        AP Calculus AB requires math department approval 
        AP Calculus AB is a course in the Advanced Placement (AP) Program developed by the College Board. The course content follows the curriculum necessary for successful performance on the Advanced Placement Examination given by College Board. Topics included in this course include elementary functions, limits and continuity, and differential and integral calculus. As different colleges have different  criteria for placement and for calculus credit, we suggest that the student make inquiries at their colleges of interest, to determine the score necessary for credit and for placement. Students enrolled in this course are expected to take the Advanced Placement examination in AP Calculus AB in May.

        AP Calculus BC requires math department approval 
        AP Calculus BC is a course in the Advanced Placement (AP) Program developed by the College Board. The prerequisite for this class is AP Calculus AB. AP Calculus BC is a continuation of the AP Calculus AB curriculum and is designed to prepare the student for the Advanced Placement exam in Calculus BC. In addition to the topics covered in AP Calculus AB (see above), AP Calculus BC includes advanced techniques and applications of differential and integral calculus, differential equations, and calculus as it relates to sequences and series, parametric, and polar equations. As different colleges have different criteria for placement and for calculus credit, we suggest that the student make inquiries at their colleges of interest, to determine the score necessary for credit and for placement. Students enrolled in this course are expected to take the Advanced Placement examination in AP Calculus BC in May.

        AP Calculus ABAP Calculus BC requires math department approval 
        AP Calculus AB and AP Calculus BC are courses in the Advanced Placement (AP) Program developed by the College Board. his selection of classes is taught as two linked classes with first semester as AP Calculus AB and second semester AP Calculus BC. (See above for the topics taught in both AP Calculus AB and AP Calculus BC.) As different colleges have different criteria for placement and for calculus credit, we suggest that the student make inquiries at their colleges of interest, to determine the score necessary for credit and for placement. Students enrolled in this course are expected to take the Advanced Placement examination in AP Calculus BC in May. 
         
        Calculus requires math department approval
        Calculus is a fourth two-semester mathematics course option for students who have completed Pre-Calculus or its equivalent. It includes problem solving, reasoning and estimation, functions, derivatives, applications of the derivative, integrals, and application of the integral.
         
        Multivariable Calculus

        Multivariable Calculus is a fourth-year mathematics course option for students who have completed AP Calculus BC. It includes three-dimensional coordinate geometry; matrices and determinants; eigenvalues and eigenvectors of matrices; limits and continuity of functions with two independent variables; partial differentiation; multiple integration; the gradient; the divergence; the curl; Theorems of Green, Stokes, and Gauss; line integrals; integrals independent of path; and linear first-order differential equations. (Prerequisite: Successful completion of AP Calculus BC)

         

         
         
     
     
     
     
    Dual Enrollment Georgia Tech Distance Calculus This course is offered in partnership with Georgia Tech and Forsyth County Schools. Students must meet Georgia Tech entrance requirements for this course. The entry requirements are updated each year and may be obtained from the AP Calculus teacher or the lead counselor of each school once Georgia Tech releases the guidelines. Entry into this course is application based and Georgia Tech reserves all rights in determining who is accepted into the course. This course is Calculus III and students will receive college credit for successful completion of the course. The students in Forsyth County Schools participate in the lecture portion of the course via distance learning connection from their home based school. There is also a Forsyth County Schools math teacher facilitator for this course.