• Mathematics Course Descriptions 
     
     
    Algebra I
    Grades: 9-12 Credit: 1
    Prerequisite: Algebra I, Part 1 or Mathematics 8
    Algebra I incorporates all of the concepts and skills necessary
    for students to pursue the study of rigorous advanced
    mathematics.The arithmetic properties of numbers are extended
    to include the development of the real number system.The
    fundamental concepts of equality, functions, multiple
    representations, probability, and data analysis guide the activities
    that allow students to enhance critical thinking skills.Computers
    are used as tools to enhance the problem solving process and
    provide students with visual models that augment the learning of
    algebraic concepts.Graphing calculators are utilized to enhance
    the understanding of functions and provide a powerful tool for
    solving and verifying solutions to equations and inequalities.
    Emerging technologies are incorporated into the curriculum as
    they become available.
     
    Geometry
    Grades: 9-12 Credit: 1
    Prerequisite: Algebra I
    Geometry is the unified study of plane, solid, and coordinate
    geometric concepts which provides student with the skills
    requisite for the study of advanced mathematics. Investigations
    of lines, planes, congruence, similarity, areas, volumes, circles, and
    three-dimensional shapes are incorporated to provide a
    complete course of study. Formal and informal deductive
    reasoning skills are developed and applied to the construction of
    formal proofs. Opportunities for inquiry-based learning through
    hands-on activities and experiences that allow for utilizing
    computer software to explore major concepts and develop
    critical thinking skills are provided.An emphasis on reasoning,
    critical thinking, and proof permeates the course and includes
    two-column proofs, paragraph proofs, and coordinate proofs.
    Graphing calculators are utilized to enhance the understanding
    of functions and provide a powerful tool for solving and
    verifying solutions to equations and inequalities. Emerging
    technologies are incorporated into the curriculum as they
    become available.Mathematical communication, reasoning, will
    be emphasized throughout the course.
     
    Algebra, Functions, and Data Analysis
    Grades: 9-12 Credit: 1
    Prerequisite: Algebra I
    Designing experiments and building mathematical models to
    describe the experimental results allows students to strengthen
    conceptual understandings of linear, quadratic, exponential, and
    logarithmic functions.Within the context of mathematical
    modeling and data analysis, students will study functions and
    their behaviors, systems of inequalities, probability, experimental
    design and implementation, and analysis of data. Data will be
    generated by practical applications arising from science, business,
    and finance. Students will solve problems that require the
    formulation of linear, quadratic, exponential, or logarithmic
    equations or a system of equations.The investigation of
    mathematical models and interpretation/analysis of data from
    real life situations, students will strengthen conceptual
    understandings in mathematics and further develop connections
    between algebra and statistics.Graphing calculators and other
    emerging technologies will be incorporated into instruction to
    enhance teaching and learning.Mathematical communication,
    reasoning, problem solving, critical thinking, and multiple
    representations will be emphasized throughout the course.
     
    Algebra II
    Grades: 9-12 Credit: 1
    Prerequisite: Algebra I and Geometry
    Algebra II provides a thorough treatment of advanced algebraic
    concepts through the study of functions, including parent functions,
    families of functions, and transformational graphing.
    Transformational graphing uses translations, reflections, dilations,
    and rotations, to generate a family of graphs from a parent graph.
    The continued study of equations, systems of equations, inequalities,
    and systems of inequalities builds on Algebra I concepts while
    polynomials, imaginary numbers in the complex number system,
    matrices, and sequences and series allow additional opportunities
    for modeling and practical applications.Graphing calculators and
    other emerging technologies will be incorporated into instruction
    to enhance teaching and learning.Mathematical communication,
    reasoning,problem solving, critical thinking, and multiple
    representations will be emphasized throughout the course.
     
    Algebra II/Trigonometry
    Grades: 9-12 Credit: 1
    Prerequisite: Algebra I and Geometry
    Algebra II/Trigonometry provides a thorough treatment of
    advanced algebraic concepts through the study of functions,
    including parent functions, families of functions,and
    transformational graphing.Transformational graphing uses
    translations, reflections, dilations, and rotations, to generate a family
    of graphs from a parent graph.The continued study of equations,
    systems of equations, inequalities, and systems of inequalities builds
    on Algebra I concepts while polynomials, imaginary numbers in the
    complex number system,matrices, and sequences and series allow
    additional opportunities for modeling and practical applications.
    The study of trigonometry will include trigonometric definitions,
    applications, equations and inequalities.The connections between
    right triangle ratios, trigonometric functions, and circular functions,
    will be emphasized.Graphing calculators and other emerging
    technologies will be incorporated into instruction to enhance
    teaching and learning.Mathematical communication, reasoning,
    problem solving, critical thinking, and multiple representations will
    be emphasized throughout the course.
     
    Advanced Functions and Modeling
    (Takes the place of Advanced Algebra with Trigonometry)
    Grades: 10-12 Credit: 1
    Prerequisite: Algebra II
    Advanced Functions and Modeling provides opportunities for
    students to deepen understanding and knowledge of functionsbased
    mathematics.Problem solving and critical thinking will
    provide the structure in which functions (polynomial, exponential.
    logarithmic, transcendental, and rational) are studied. Experimental
    design will provide the foundation for data gathering, curve
    sketching, and curve fitting in order to provide a graphical
    interpretation of real world situations.Graphing calculators and
    other emerging technologies along with the precepts of
    transformational graphing will be incorporated into instruction to
    enhance teaching and learning.Mathematical communication,
    reasoning,problem solving, critical thinking, and multiple
    representations will be emphasized throughout the course.
     
    Advanced Algebra/Precalculus
    (Takes the place of Pre-calculus)
    Grades: 10-12 Credit: 1
    Prerequisite: Algebra II
    Advanced Algebra/Precalculus emphasizes polynomial,
    exponential, logarithmic, and rational functions, theory of
    equations, sequences and series, conic sections, limits,
    mathematical induction, and the Binomial Theorem .Trigonometry
    topics will include triangular and circular definitions of the
    trigonometric functions, establishing identities, special angle
    formulas, Law of Sines, Law of Cosines, and solutions of
    trigonometric equations.Constructing, interpreting, and using
    graphs of the various function families are stressed throughout
    the course of study. Students are encouraged to explore
    fundamental applications of the topics studied with the use of
    graphing calculators. Emerging technologies are incorporated into
    the curriculum as they become available.
     
    Mathematical Analysis

    Grades: 10-12 Credit: 1
    Prerequisite: Algebra II/Trigonometry or
    Advanced Algebra/Precalculus
    Mathematical Analysis introduces mathematical induction,
    matrix algebra, vectors, and the Binomial Theorem. A detailed
    treatment of function concepts provides opportunities to explore
    mathematics topics deeply and to develop an understanding of
    algebraic and transcendental functions, parametric and polar
    equations, sequences and series, conic sections, and vectors.
    Mathematical Analysis also includes precalculus topics such as
    limits and continuity, the derivative of functions of a single
    variable and curve sketching.The course of study is enhanced by
    making connections of the concepts presented to other
    disciplines. Students routinely use graphing calculators as tools
    for exploratory activities and for solving rich application
    problems. Emerging technologies are incorporated into the
    curriculum as they become available.

     
    Computer Mathematics (JAVA)
     

    Grades: 10-12 Credit: 1
    Co-requisite: Algebra II
    Computer Mathematics provides students with experiences in
    workplace computer applications, personal finance, essential
    algebra skills necessary for college mathematics, and computer
    programming techniques and skills. Students will solve problems
    that can be set up as mathematical models. Students will develop
    and refine skills in logic, organization, and precise expression,
    thereby enhancing learning in other disciplines. Programming
    should be introduced in the context of mathematical concepts
    and problem solving. Students will define a problem; develop,
    refine, and implement a plan; and test and revise the solution.

     
    Computer Science A—Advanced Placement

    Grades: 11-12 Credit: 1
    Prerequisite: Computer Mathematics
    Advanced Placement Computer Science A is taught according
    to the syllabus for Computer Science A available through the
    College Entrance Examination Board.Major topics in AP Computer
    Science A include programming methodology, algorithms, and
    data structures.Topics are extended to include constructs,data
    types, functions, testing, debugging, algorithms, and data
    structures.The JAVA programming language is used to implement
    computer based solutions to meaningful problems.Treatments of
    computer systems and the social implications of computing are
    integrated into the course.College credit and/or advanced
    placement in college is available to those students receiving a
    qualifying score on the Advanced Placement Examination.

     
    Calculus AB—Advanced Placement

    Grades: 11-12 Credit: 1
    Prerequisite:Mathematical Analysis or
    Advanced Algebra/Precalculus
    Advanced Placement Calculus AB explores the topics of
    limits/continuity, derivatives, and integrals.These ideas are
    examined using a multi-layered approach including the verbal,
    numerical, analytical, and graphical analysis of polynomial,
    rational, trigonometric, exponential, and logarithmic functions
    and their inverses.The student will be expected to relate the
    connections among these approaches. Students will also be
    required to synthesize knowledge of the topics of the course to
    solve applications that model physical, social, and/or economic
    situations.These applications should emphasize derivatives as
    rates of change, local linear approximations, optimizations and
    curve analysis, and integrals as Reimann sums, area of regions,
    volume of solids with known cross sections, average value of
    functions, and rectilinear motions. Emerging technologies are
    incorporated into the curriculum as they become available.
    College credit and/or advanced placement in college is available
    to those students receiving a qualifying score on the Advanced
    Placement Examination.

     
    Calculus BC—Advanced Placement

    Grades: 11-12 Credit: 1
    Prerequisite:Mathematical Analysis or
    Calculus AB—Advanced Placement
    Advanced Placement Calculus BC is intended for students who
    have a thorough knowledge of analytic geometry and
    elementary functions in addition to collect preparatory algebra,
    geometry, and trigonometry. Although all of the elements of the
    Advanced Placement Calculus AB course are included, it provides
    a more rigorous treatment of these introductory calculus topics.
    The course also includes the development of the additional
    topics required by the College Entrance Examination Board in its
    syllabus for Advanced Placement Calculus BC. Among these are
    parametric, polar, and vector functions; the rigorous definition of
    limit; advanced integration techniques; Simpson’s Rule; length of
    curves; improper integrals; Hooke’s Law; and the study of
    sequences and series.The use of the graphing calculator will be
    fully integrated into instruction and students will be called upon
    to confirm and interpret results of problem situations that are
    solved using available technology. Emerging technologies are
    incorporated into the curriculum as they become available.
    College credit and/or advanced placement in college is available
    to those students receiving a qualifying score on the Advanced
    Placement Examination.

     
    Statistics—Advanced Placement

    Grades: 10-12 Credit: 1
    Prerequisite: Algebra II
    The Advanced Placement Statistics course explores the

    concepts and skills according to the syllabus available through
    the College Entrance Examination Board.These topics include
    collecting and interpreting data through numerical methods,
    binomial and normal distribution, probability, linear correlation
    and regression, analysis of variance, and other descriptive
    statistical methods. Students should be able to transform data to
    aid in data interpretation and prediction and test hypotheses
    using appropriate statistics. Emerging technologies are
    incorporated into the curriculum as they become available.
    College credit and/or advanced placement in college is available
    to those students receiving a qualifying score on the Advanced
    Placement Examination.
     
    Multivariable Calculus—Dual Enrollment

    Grades: 11-12 Credit: 1
    Prerequisite: Calculus BC—Advanced Placement
    Multivariable calculus (also known as multivariate calculus) is
    the extension of calculus in one variable to calculus in several
    variables.Topics could include Euclidean 3-space, vector
    functions, derivatives and curvature and torsion, R

    n space, surface normals, the Taylor polynomial, power and Taylor series,
    multivariable integration, vector function integration, and
    theorems by Gauss,Green, and Stokes.
     
    Statistics and Probability
    Grades: 10-12 Credit: 0.5
    Prerequisite: Algebra II
    Elementary probability and statistics are studied with an
    emphasis on collecting data and interpreting data through
    numerical methods. Specific topics include the binomial and
    normal distributions,probability, linear correlation and regression,
    and other statistical methods. Students are expected to
    understand the design of statistical experiments.They are
    encouraged to study a problem, design and conduct an
    experiment or survey, and interpret and communicate the
    outcomes.Through meaningful activities and simulations,
    students are provided with experiences that will model the means
    by which data are collected, used, and analyzed.This course will
    enable students to be wise users of statistical methods and more
    critical consumers of statistical materials.The use of computers
    and calculators should enhance the learning process and provide
    students with experiences working with emerging technologies.
     
    Discrete Mathematics
    Grades: 10-12 Credit: 0.5
    Prerequisite: Algebra II
    Discrete Mathematics involves applications using discrete
    variables rather than continuous variables.Modeling and
    understanding finite systems is central to the development of the
    economy, the natural and physical sciences, and mathematics
    itself.Discrete Mathematics introduces the topics of social choice
    as a mathematical application, matrices and their uses, graph
    theory and its applications, and counting and finite probability, as
    well as the processes of optimization, existence, and algorithm
    construction. Emerging technologies are incorporated into the
    curriculum as they become available.
Last Modified on February 5, 2020