Algebra I is the foundation for all high school mathematics. An algebra student builds on prior knowledge to expand understanding through new mathematical experiences. Symbolic reasoning plays an essential role in algebra and provides a powerful way to represent mathematical situations. A student begins to explore the relationship between functions and equations to represent and model real-world problems. To understand underlying relationships between functions and equations, a student uses a variety of representations, tools, and technology. The capabilities of the graphing calculator enable students to solve more meaningful problems. Problem solving, language and communications, connections within and outside mathematics, and reasoning are fundamental processes of Algebra I.
Geometry is the study of size, shape, and position of figures on a plane and in space. Geometry introduces on the ideas of deductive reasoning, inductive reasoning, and logic. In geometry, students make and verify conjectures about geometric properties and test geometric properties using the coordinate system.
The Mathematical Models with Applications (MMA) course is an optional course taken between Geometry and Algebra II. Its intention is to give students another year to build their math skills before progressing to Algebra II and to apply those skills to real world applications. Selected Algebra I topics like solving equations and linear and quadratic functions are covered during the first semester. The second semester focuses on geometry topics like area, perimeter, similar figures, and Pythagorean Theorem.
Algebra 2 takes a rigorous look at a variety of common mathematical functions including linear, absolute value, quadratic, exponential, logarithmic, rational, radical and polynomial, as well as conic sections. We emphasize concepts and problem solving techniques that require students to use graphs, tables, words and algebra to describe patterns and relationships and to find solutions. Our ultimate goal is to provide students with the tools necessary to be successful on End of Course and college entrance exams.
Pre-Calculus has students look at a range of subjects as they prepare for AP and college level courses. Students spend most of their time examining trigonometric relationships and how they get applied to a wide variety of areas. Concepts from Geometry, Algebra, Chemistry, and Physics all make an appearance. The year culminates with time spent looking at the opening topics of Calculus.
Calculus is a college-level mathematics course aimed towards exposing mathematically friendly students to a variety of new concepts and theories with a variety of theoretical applications. Students looking to go on to a 4-year university should strongly consider taking Calculus, particularly those with a mathematical, scientific, or technical inclination. Whether its figuring out if a runaway train will stop in time before it goes off of a cliff or if a person will be saved from drowning as their water tank is drained, Calculus takes the rates we've taken for granted to the limits of our understanding.