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Academics » Mathematics

Algebra I Honors Description

The purpose of this course is to provide a rigorous and in-depth study of algebra, emphasizing deductive reasoning skills, as a foundation for more advanced mathematics courses and to develop the skills needed to solve real world and mathematical problems.

The content includes, but is not limited to, the following:

• variables
• structure and properties of the real number system
• first-degree equations and inequalities
• relations and functions
• direct and inverse variation
• polynomials
• rational and irrational algebraic expressions
• quadratic equations and functions
• graphs
• system of linear equations and inequalities
• integral exponents
• factoring

Credit: 1 (Year)
8th and 9th grade levels
Prerequisites: Pre-Algebra/Advanced 7th Grade Math with "C" or higher

Geometry Honors Description

The purpose of this course is to provide a rigorous, in-depth study of geometric relationships and deductive strategies, which can be used to solve a variety of real world and mathematical problems. The content includes, but is not limited to, the following:

• logic, deductive arguments and proofs
• segments and angles
• two and three-dimensional figures
• perpendicularity and parallelism
• similarity
• congruence
• constructions
• perimeter, area, and volume
• topology
• coordinate and transformational geometry
• non-Euclidean geometries
• locus

Credit: 1 (Year)
9th and 10th grade
Prerequisites: Algebra I with "C" or higher

Liberal Arts Math Description

The purpose of this course is to strengthen mathematical skills necessary for further study of advanced mathematics.

The content should include, but not be limited to, the following:

• polynomials
• factoring
• algebraic expressions
• equations and inequalities
• functions, relations and graphs
• systems of linear equations and inequalities
• exponents
• radical expressions
• properties of two and three dimensional figures
• segments and angles
• similarity and congruence
• perimeter, area, and volume
• quadratic equations to provide the foundation for applying algebraic skills to other mathematical and scientific fields.

Credit: 1 (Year)
Open to grades 9-12
Prerequisites: For students with a "C" or less in Algebra I and/or Geometry

Algebra II Honors Description

The purpose of this course is to continue the rigorous and in-depth study of algebra and to provide the foundation for applying algebraic skills to other mathematical and scientific fields.

The content includes, but is not limited to, the following:

• structure and properties of the complex number system
• equations and inequalities
• systems of equations and inequalities
• functions, relations, and graphs
• polynomial functions
• real number exponents
• logarithmic and exponential functions
• rational and irrational expressions
• conic sections
• arithmetic and geometric sequences and series
• permutations, combinations, and probability
• matrices

Credit: 1 (Year)
10th and 11th grade
Prerequisites: Geometry with a "C" or higher

Pre-Calculus with Trigonometry Description

The purpose of this course is to emphasize the study of functions and other skills necessary for the study of calculus.

The content includes, but is not limited to, the following:

• polynomial, rational, exponential, inverse, logarithmic, and circular functions
• sequences and series
• concept of limits
• vectors
• conic sections
• polar coordinate systems
• symbolic logic
• mathematical induction
• matrix algebra

Credit: 1 (Year)
11th and 12th grade
Prerequisites: Algebra II with a "C" or higher Students must have a TI-86 or TI-89 for daily use in this course.

Advanced Placement Calculus AB Description

The purpose of this course is to study algebraic and transcendental functions and the general theory and techniques of calculus.

The Advanced Placement Program of the College Board specifies the content, which includes, but is not limited to, the following:

• elementary functions
• limits and continuity
• derivatives
• differentiation
• applications of the derivative
• antiderivatives
• definite integral
• applications of the integral

Credit: 1 (year)
11th and 12th Grade
Prerequisites: Pre-Calculus with a "C" or higher

Per the Providence Pupil Progression Plan the student must take the advanced placement exam as part of the requirements in order to pass any and all AP classes.

Advanced Placement Calculus BC Description

The purpose of this course is to study the concepts of Calculus AB and the Advanced Placement Program of the College Board specifies the content which includes, but is not limited to, the following:

• parametric, polar and vector functions and their derivatives
• velocity and acceleration vectors
• geometric interpretation of differential equations via slope fields
• numerical solution of differential equations using Euler's Method, L'Hopital's rule and its use in determining convergence of improper integrals and series
• Arc length
• Antiderivatives by parts and partial fractions
• Improper integrals
• Solving logistic differential equations
• Series of constants
• Taylor and MacLaurin series
• Functions defined by power series
• LaGrange error bound for Taylor polynomials

Credit: 1 (year)
11th and 12th Grade
Prerequisites: Calculus AB with a "C" or higher

Per the Providence Pupil Progression Plan the student must take the advanced placement exam as part of the requirements in order to pass any and all AP classes.