 |
 |
 |
| Pre-Algebra | Algebra I | Geometry | Algebra II | Pre-Calculus | Calculus | Statistics |
Pre-Algebra
This course is offered to students who are in need of basic math skill development. Pre-Algebra is a transition course between "concrete" arithmetic and "abstract" Algebra I. Course topics include, but are not limited to: the real numbers and related definitions and postulate, operations on the real numbers, solving equations and inequalities, ration, proportion, and percent, graphing, problem solving, and finding areas and volumes.
Algebra I
The first course in algebra develops the algebraic skills required to solve real world problems ranging from every day experience to the sciences and humanities. Essential course topics include, but are not limited to: the real numbers and related definitions and postulates, operations on the real numbers, solving equations and inequities, relations and basic functions, graphing linear equations and inequities, properties of exponents, operations with polynomials and rational expressions, factoring polynomials, radicals, quadratic equations and problem solving.
Geometry
This course follows a problem-solving model with emphasis on developing and understanding mathematical solutions to situations using geometry. Deductive and inductive reasoning are taught in conjunction with the concepts inherent in developing an internally consistent geometry. Primary emphasis is placed on two-dimensional Euclidean geometry. However, three-dimensional models, theorems, and concepts are routinely included in this course. Essential topics include triangles, quadrilaterals, inequalities in geometry, similar polygons, right triangles, circles, constructions and coordinate geometry. Proofs are a part of the course work.
Algebra II
This second course in algebra is designed for the student who has successfully completed Algebra I and Geometry. Review of Algebra I will continue throughout the year with new content being presented simultaneously. Essential course topics include, but are not limited to: real numbers, equations, inequalities, graphing, systems of equations and inequalities, relations, functions, polynomials, rational expressions, radicals, quadratic equations and functions, complex numbers, conic sections, exponential and logarithmic functions.
Pre-Calculus
This course is designed primarily as a preparation for either Statistics or Calculus. Students will be given ample review and reinforcement of topics from algebra, geometry, and trigonometry. Analytical rigor and graphing skills will be emphasized throughout this course. Topics include, but are not limited to: real numbers, equations, inequalities, graphs, functions (polynomial, rational, inverse, exponential, logarithmic, and trigonometric), and conic sections. Real world applications are extensive.
Calculus
Students interested in AP Calculus need to take Calculus in the semester term and the AP extension in the second semester.
Calculus is designed for students who have completed Pre-Calculus. The course will provide students with a calculus background in both differential and integral calculus that will prepare them for college level mathematics study. It will be an important primer course for students who may be interested in further advanced study at the college level in math, engineering, and the physical sciences. Topics include, but are not limited to: real numbers, functions and graphs, limits and continuity, the derivative and differentiation, applications of the derivative, the definite integral, applications of the definite integral, exponential and logarithmic functions, trigonometric functions and their inverses, and L'Hopital's Rule. Technology is an integral part of this course. Students will use a graphing calculator, the model of which will be specified by the instructor.
Statistics
Students interested in AP Statistics need to take Statistics in the first semester and the Alfa Philip extension in the second semester.
Statistics focuses on data and on statistical reasoning. The purpose of the course is to introduce students to statistical thinking and how to use statistical methods to address problem-solving. Topics include, but are not limited to: data collections, displaying and describing distributions, graphs, probability, inference and analysis. Technology is an integral part of this course. Students will use a graphing calculator, the model of which will be specified by the instructor.