Math

Pre-Algebra

Pre Algebra is designed to provide the foundation for Algebra I. Students relate and apply algebraic concepts to geometry, statistics, data analysis, probability, and discrete mathematics. Students find many opportunities to apply concepts to both real life and mathematical problem situations. Topics include, but are not limited to, order of operations, variables and expressions, first degree equations, and inequalities, operating using all rational numbers, ratio, proportion, percent, statistics, probability, polygons, area and volume.

Pre-Algebra Honors

This course is the same as above except that it is a rigorous course with more complicated equations to solve. Students must complete critical thinking exercises in which they are able to explain, evaluate, and justify mathematical concepts and relationships.

Algebra I

Algebra I is designed to provide the foundation for more advanced mathematics courses and to develop problem-solving skills. Topics include, but are not limited to, variables structure and properties of the real number system, first-degree equations ad inequalities, relations, functions, graphs, systems of linear equations and inequalities, polynomials, integral exponents rational expressions, irrational numbers, radical expressions, quadratic equations, and year-long work in problem solving.

Algebra I Honors

This course is designed to provide a rigorous, in-depth study of Algebra emphasizing deductive thinking skills. Topics include, but are not limited to, operations and properties associated with the real number system, algebraic and graphical solutions of equalities and inequalities with one and two variables, relations and functions, equations and inequalities.

Geometry

This course is designed to foster development in deductive thinking skills utilizing geometric proofs as a vehicle. Topics include, but are not limited to, logic and reasoning, Euclidean geometry of lines, planes, angles, triangles, similarity, congruence, geometric inequalities, polygons, circles, area and volume, and geometric constructions. Formal proofs shall be developed throughout the course. Extensive review of concepts of Algebra I shall be included on a regular basis.

Geometry Honors

The purpose of this course is to give a rigorous, in-depth study of geometry with emphasis on methods of proof and the formal language of mathematics. Topics shall include, but are not limited to, structure of geometry, separation properties, angle concepts, triangles, quadrilaterals, proofs, perpendicularity and parallelism in a plane and in space, similar polygons, circles and spheres, constructions, area and volume, coordinate geometry, and transformational geometry.

Algebra II

This course is designed to continue the study of the structure of Algebra and to provide the foundations for applications of these skills to other scientific and mathematical fields. Topics will include, but are not limited to, the review and extension of the structure and properties of the real number system, relations, functions, graphs, polynomials, rational expressions, quadratic equations and inequalities, rational and irrational exponents, logarithms and exponential equations and complex numbers. Emphasis will be placed on problem-solving techniques and strategies.

Algebra III

This course is designed for the student who plans a course of study in college that does not include a strong concentration in math and/or science. The first area is divided into three major areas. The second area focuses on an extensive study of trigonometry. The third area focuses on a study of matrices and determinants as well as an introduction to statistics. Graphing calculator and computer applications are used extensively in this course. Students leaving this course will be well prepared for College Algebra or Pre-Calculus as well as Statistics.

Precalculus

This course is designed to acquaint the student with advanced Algebra topics and a major unit in Trigonometry.

Precalculus Honors

This is an advanced course in mathematics that will prepare the student for Calculus. Topics will include, but are not limited to, lines, circles, translation of axes, polynomial, rational, inverse, exponential and logarithmic functions, trigonometric functions, analytic trigonometry, vectors, parametric equations, polar coordinates, and complex numbers, and conic sections, limits, and the concept of the derivative.

AP Calculus (AB)

This course is designed to begin the study of Calculus, providing a basis for developing further study of more advanced mathematics and developing the skills needed to solve problems in advanced science courses. Topics will include, but are not limited to, finding derivatives of algebraic and logarithmic functions and their inverses, differentiability and continuity, applying derivatives to find the slope of a curve and tangent and normal lines, identifying increasing and decreasing functions, maximums and minimums, concavity and point of inflection, anti-derivatives, integration and definite integrals, finding the area between curves, and finding the volume of a solid revolution. Students will be expected to take the Advanced Placement exam at the end of the year.

Statistics

In this course, students will explore data, examine relationships, and make inferential decisions. Included will be a study of normal, binomial, geometric, and sampling distributions as well as probability and inference. Upon completion of this course, students will have a strong background in statistical concepts so as to be well prepared for a college level Statistics course.

AP Statistics

The topics of AP Statistics are divided into four major themes: exploratory analysis, planning a study, probability, and statistical inference. Exploratory analysis of data makes use of graphical and numerical techniques to study patterns and departures from patterns. Emphasis is placed on interpreting information from graphical and numerical plan includes clarifying the question and deciding upon a method of data collection and analysis. Probability is the tool used to anticipating what the distribution of data should look like under a given model. Lastly, statistical inference will guide the selection of appropriate models.