Algebra I introduces students to the study of algebra. It empowers them to make the transition from concrete thinking to abstract reasoning, allowing the students to build upon previous knowledge in order to develop true algebraic thinking. Topics presented in this course include equations, inequalities, functions, linear functions, systems of equations and inequalities, exponents, polynomials, quadratic functions and their equations and simple probability and statistics. Various real world applications will be presented during the course.
Geometry introduces students to the foundations of Euclidean and analytical geometry. Students investigate points, lines, angles and planes by constructing accurate figures using appropriate tools. Formal proofs and deductive reasoning as a style of thinking as well as analysis using algebraic formulas are explored. Topics covered include parallel and perpendicular lines, triangle congruence, properties of triangles, polygons and quadrilaterals. Ratio and proportion are investigated and fundamental concepts of trigonometry are introduced as a way of measuring and studying real life structures. Also incorporated in this course is an in depth understanding of the circle as well as the examination of three-dimensional figures, including surface area and volume.
Algebra II is designed to prepare students for Pre-Calculus. A thorough exploration of algebra is emphasized with functions and trigonometry as the focus. Linear functions, quadratic functions, inverse functions, exponential functions, logarithmic functions and higher order functions are introduced with a development from rational to irrational to complex numbers.
Pre-Calculus is designed to prepare students for calculus, either AP Calculus in high school or for a first-year calculus course in college. Concepts covered will include an expansion on algebra topics such as exponents, logarithms, polynomial functions, equations and inequalities. Conic sections, sequence and series and advanced trigonometry topics are also covered. The emphasis of the course is on the analysis of functions, their properties and modeling real life situations. The graphing calculator will be used throughout the course.
AP Calculus AB:
AP Calculus AB prepares the student for the AP Calculus AB exam in May. The course content is established by the College Board and is available here. Topics covered include functions and their graphs, limits, derivatives, applications of the derivative, integrals, and applications of integrals including areas and volumes. The expectations of all students enrolled in this course include the ability to work independently and at a college level in order to ensure the successful completion of the entire curriculum.