Curriculum Detail

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Math

  • Algebra 1

    This course is an introduction to the language and methods of algebra. The logical steps of fundamental computations are emphasized. Topics studied include field properties, operations with real numbers, linear and quadratic equations and their graphs, polynomials, functions, systems of equations, algebraic fractions, variation, inequalities, and rational and irrational numbers. 

    Note: Placement done by a diagnostic entrance exam.

  • Algebra 2 (H)

    This course includes set theory, inverse and composite functions, solving systems of equations, linear programming, solving rational and radical equations, matrices, quadratic functions, complex numbers, polynomial functions, exponential and logarithmic functions, trigonometric functions, the laws of sines and cosines, analytic geometry, probability and combinations, sequences and series, and the binomial theorem. 

    Prerequisite:Placement by diagnostic entrance exam and completion of Algebra 1 and Honors Geometry with a grade of B or better for both semesters, or Geometry with a grade of A for both semesters, and department approval.

  • Algebra 2/Trigonometry

    This course covers linear equations and inequalities, functions and graphs, polynomials, rational and radical expressions, logarithms, sequences and series, probability, matrices, analytic geometry, and introductory trigonometry. Scientific calculators will be used. Whenever possible, real-life applications of mathematics will be presented. 

    Prerequisite: Placement by diagnostic entrance exam and completion of Algebra 1 and Geometry with a grade of C or better for both semesters.

  • AP Calculus AB

    This college-level course covers a study of single variable calculus including limits, derivatives, integration, and transcendental functions. The accomplishments of great mathematicians will also be studied. Students are required to take the AP Calculus AB exam in May.

    Prerequisite: Completion of AP Precalculus with a grade of B or better for both semesters, a passing AP Precalculus exam score, and department approval

  • AP Calculus BC

    This college-level course covers a further study of single variable calculus, including the rigorous definition of limit, derivatives of vector functions and parametrically defined functions, Simpson’s rule, area bounded by polar curves, length of a path, work as an integral, improper integrals, integration by parts, integration with partial fraction decomposition, slope fields, Euler functions, convergence of a series, Maclaurin series expansions, and Taylor series. The history of mathematics will also be studied. An appreciation for the accomplishments of great mathematicians will be cultivated.

    Students are required to take the AP Calculus BC exam in May.

    Prerequisite: Completion of AP Calculus AB with a grade of B or better for both semesters, a passing AP Calculus AB exam score, and department approval.

  • AP Precalculus

    This course covers modeling with functions, multiple representations of functions, functions revealing a dynamic relationship between two variables, and symbolic manipulation of functions and algebraic equivalence. Students are required to take the AP Precalculus exam in May.

    Prerequisite: Completion of Honors Geometry and Honors Algebra 2 with a grade of A or better for both semesters, and
    department approval. 


  • AP Statistics

    This course provides the student an introduction to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. The four broad conceptual themes of this course are exploring data, sampling and experimentation, anticipating patterns, and statistical inference. Graphing calculators are required. Students will be
    given many real-world examples and will learn to not only analyze, but also use a great deal of writing and explaining.

    Students are required to take the AP Statistics exam in May.

    Prerequisite: Completion of Honors Geometry and Honors Algebra 2 with a grade of B or better for both semesters, or Geometry and Algebra 2 with a grade of A for both semesters, and department approval.

  • Calculus

    This course covers a study of single variable calculus including limits, derivatives, integrals, continuity, particle motion, graphing techniques, area, and volume of revolution. Students will gain an understanding of change geometrically and
    visually (by studying graphs of curves), analytically (by studying and working with mathematical formulas), numerically (by seeing patterns in sets of numbers), and verbally. Students learn to evaluate the soundness of proposed solutions
    and to apply mathematical reasoning to the complex relationships behind real-world phenomena.

    Prerequisites: Completion of AP Precalculus or Precalculus with a grade of C or better for both semesters, and department approval. 

  • Financial Algebra

    An application-based approach to investigating real-world topics such as investments, banking services, automobile expenses, insurance, income tax, budgeting, consumer credit, etc. Concepts from Algebra I, Algebra 2, and Geometry are incorporated while exploring practical business and personal finance applications. 

    Prerequisite: Completion of Geometry and Algebra 2 with a grade of C or better for both semesters. 

  • Geometry

    This course is an introduction to the language and properties of geometry (i.e. the measurements, properties and theorems regarding points, lines, angles, and triangles in both two and three dimensional figures) are explored with the use of formal geometric proofs, constructions and coordinates, providing tools to further mathematical reasoning skills.

    Prerequisite: Placement by entrance exam and completion of Algebra 1 with a C or Better for both semesters. 
     

  • Geometry (H)

    Honors geometry is an introduction to the language and properties of geometry (i.e., the measurements, properties, and relationships of points, lines, angles, and two and three dimensional figures) with integration of algebraic concepts (i.e., operations with rational numbers, simplifying and evaluating radical expressions, solving systems of linear equations, graphing points and lines, and slope and intercepts of a line). These are explored with the use of formal geometric proofs, constructions, and coordinates, providing tools to further mathematical reasoning skills.

    Prerequisite: Placement by diagnostic entrance exam and/or department approval.

  • Math Analysis

    This course covers the trigonometry functions of right triangle relationships, as well as graphing of the same, trigonometric identities, circular functions, complex numbers, series and sequences, logarithms, piecewise functions, graphing rational functions, partial fractions, vectors, and parametric and polar equations. 

    Prerequisite: Algebra 2 and Geometry with a B or better.

  • Math Analysis (H)

    This course covers trigonometric graphs, trigonometric identities, application problems involving the laws of sines and cosines, polar coordinates, logarithms, vectors, matrices and determinants, sequences and series, complex numbers, and theory of equations. 

    Prerequisite: Honors Algebra 2 with a grade of B or better and deparment approval.

  • Multivariate Calculus (H)

    This course covers the Calculus of functions of several variables. This course begins with the study of basic objects of multidimensional geometry: vectors and vector operations, various coordinate systems, and the elementary differential
    geometry of vector functions and space curves. It then extends the tools of differential and integral calculus to multidimensional problems. The next part of the course is dedicated to line and surface integrals. Finally, the course concludes with various extensions of the Fundamental Theorem of Calculus to multidimensional integrals, and applications to vector fields.

    Prerequisite: Completion of AP Calculus AB with a grade of B or better for both semesters, a passing AP Calculus AB exam score, in progress of AP Calculus BC, and department approval.

  • Precalculus

    This course covers the trigonometry functions of right triangle relationships, as well as graphing of the same, trigonometric identities, circular functions, complex numbers, series and sequences, logarithms, piecewise functions, graphing rational functions, partial fractions, vectors, and parametric and polar equations. 

    Prerequisite: Completion of Geometry and Algebra 2 with a grade of B or better for both semesters, and department approval.

  • Statistics

    This course is an application-based approach to investigating real-world topics in probability and statistics, and provides the student an introduction to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. The four broad conceptual themes of this course are exploring data, sampling and experimentation, anticipating patterns, and statistical inference. Graphing calculators are required. Students will be given many real-world examples and will learn to not only analyze, but also do a great deal of writing and explaining. 

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