Pre algebra is a course designed to help prepare students before they take Algebra 1.  The purpose is to solidify understanding of basic mathematical concepts and to give students confidence entering into high school math courses.  The topics to be covered in this class include but are not limited to: sets of numbers, fractions, and decimals and their operations, order of operations, exponential properties, simplifying algebraic expressions, solving equations, using the Cartesian coordinate system, graphing lines, slope and equations of lines, systems of linear equations, and introduction to probability and statistics. 

This course covers the basics of algebra.  Topics covered are the real number system simplifying algebraic expressions, solving equations and inequalities in one variable, addition, subtraction, multiplication, and division of polynomials.  Factoring, simplifying rational expressions, graphing linear equations, solving systems of equations in two variables, relations and functions, introduction to radicals, quadratic equations and other topics are covered in Algebra-1. The Algebra 1 Keystone is administered as part of this course. 

Prerequisite:  Honors Algebra I or Algebra I & meets Honors Criteria

Honors Algebra II is an in-depth review and extension of Algebra I topics, the real number system, solving equations and inequalities, systems of equations and inequalities, matrices and determinants, operations with polynomials, rational expressions, radicals and irrational numbers, complex numbers, quadratic equations and inequalities, polynomial functions, and permutations and combinations.

Prerequisite:  Algebra I

Algebra II includes an in-depth review and extension of topics covered in Algebra 1.  Subjects include are not limited to equations and inequalities, relations, functions, graphs, system of equations, polynomials, polynomial equations, rational expressions, rational equations, powers, roots, complex numbers, quadratic equations, quadratic functions, transformations, second degree equations, exponential functions, logarithmic functions, matrices, and determinants.  Students will use graphing calculators in the process of solving these types of problems.

Prerequisite: Honors Algebra II or Algebra II & meets Honors Criteria

This is a full year honors course. Topics included:  the coordinate plane; points, lines and planes; using formulas; measuring segments; midpoints and segment congruence; angles; angle relationships; inductive reasoning and conjecturing; conditional statements, algebraic proofs; deductive reasoning; verifying segment relationships; verifying angles relationships; parallel lines; perpendicular lines; congruent triangles; special segments in triangles; isosceles triangles; triangle inequality; inequalities involving two triangles;  polygons; similar triangles; parallel lines and proportional parts; the Pythagorean theorem; geometric mean; special right triangles; trigonometric ratios in right triangles; circles; angles, arcs, and chords of circle; secants; tangents; secants, tangents and angle measures; special segments in a circle; polygons; area of parallelograms, triangles, rhombi, and trapezoids; regular polygons; and locus.

Prerequisite: Algebra II

Geometry is a course in modern geometry intended for the student who plans on going to college or to a technical school.  Emphasis is placed on the properties of the geometric figures, including, but not limited to, triangles, other polygons and circles.  The course is a blend of plane, solid and coordinate geometry.  Students will be expected to write simple formal proofs using the deductive method, utilizing concepts from geometry as well as skills acquired from Algebra I and II.

Prerequisite: Algebra I, Algebra II and Geometry

Topics covered in this course include the unit circle, trig. functions, right triangle trig., inverse trig. functions, trig. identities, solving trig. equations, Law of Sines and Cosines, vectors, dot products, cross products, complex numbers, exponential and logarithmic functions, properties of logarithms, exponential and logarithmic equations, conic sections including parabolas, ellipses, hyperbolas, and circles, and an introduction of polar coordinates.

Prerequisite:  Honors Algebra II and Honors Geometry or Algebra II and Geometry & meets Honors Criteria

***Dual Enrollment credits offered through Lackawanna College 

Precalculus is designed to present the mathematics that follow high school Algebra and Geometry and precedes the rigorous study of Calculus.  The course centers around Polynomial Functions, Power Functions, Rational Functions, Exponential Functions, Logistic Function, Logarithmic Functions, Trigonometric Functions and Analytic Trigonometry.

Prerequisites: Algebra I, Algebra II, and Geometry (concurrently or completed)

***Dual Enrollment credits offered through Lackawanna College

College Algebra is a full year elective course. Topics included:  real numbers; exponents and radicals; polynomials and special products; factoring; fractional expressions; graphs and graphing techniques; linear equations; word problems; quadratic equations and applications; complex numbers; other types of equations; linear inequalities; other types of inequalities; lines in the plane and slope; functions, translations and combinations of functions; composite functions; inverse functions; quadratic functions; polynomial functions of higher degree; polynomial and synthetic division; real zeros of polynomial functions; the Fundamental Theorem of Algebra; rational functions and asymptotes; graphs of rational functions; partial fractions; conics; translation of conics; exponential functions and their graphs; logarithmic functions and their graphs; properties of logarithms; exponential and logarithmic equations; solving systems of equations; two-variable linear systems; multivariable linear systems; systems of inequalities; linear programming, matrices and systems of equations; operations with matrices; inverse of a square matrix; determinant of a square matrix sequences and summation notation; arithmetic sequences; geometric sequences; mathematical induction; the binomial theorem; and probability. 

Prerequisite: Honors Precalculus & meets AP/Honors Criteria

*Dual Enrollment credits offered through Lackawanna College 

AP Calculus covers all the traditional topics of a college level course in Calculus.  Topics included are Functions and Graphs, Limits and Continuity, the Derivative and its applications, and the Integral (both definite and indefinite) and its applications.  This course prepares students for the AP Calculus AB Exam.

Prerequisite:  Honors Precalculus & meets Honors Criteria

***Dual Enrollment credits offered through Lackawanna College 

Honors Calculus will cover all the traditional topics of a college level course in calculus.  Topics discussed include, but are not limited to, limits, derivatives of algebraic functions and their applications to tangents of curves, curve tracing, maximum and minimum problems, etc.; methods of integration; the definite integral; advanced analytic geometry and differential equations.

Prerequisites: Honors Geometry, Honors Algebra 2 or Honors Precalculus  & meets AP/Honors Criteria

***Dual Enrollment credits offered through Lackawanna College and Keystone College

The AP Statistics course is equivalent to a one-semester, introductory, non-calculus-based college course in statistics. The course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. There are four themes in the AP Statistics course: exploring data, sampling and experimentation, anticipating patterns, and statistical inference. Students use technology, investigations, problem solving, and writing as they build conceptual understanding.  This course prepares students for the AP Statistics Exam.

Prerequisite: Algebra I, Algebra II, and Geometry (concurrently or completed) & meets Honors Criteria

***Dual Enrollment credits offered through Lackawanna College

Statistics is a full year elective course.  Topics include, but are not limited to: populations; samples; sampling and experimentation; types of data; stem-and-leaf displays; frequency distributions; dot plots and histograms; describing the center of a data set; describing variability of a data set; scatter plots; correlation; fitting a line to bivariate data; assessing the fit of a line; probabilities and probability rules; estimating probabilities; population and normal distributions; statistics and sampling variability; sampling distribution of a sample mean; sampling distribution of a sample portion; estimation using a single sample; confidence intervals and hypothesis testing. Graphing calculators will be used regularly.