High School Mathematics

Algebra I serves as the cornerstone for all high school mathematics. Students explore the operations and relationships of numbers through variables, learning to write and solve algebraic equations. The course introduces functions, graphing, and multiple representations of mathematical concepts. The primary goal is to help students transition from concrete arithmetic to abstract algebraic generalizations, fostering critical problem-solving and reasoning skills.

Designed to follow Algebra I, Geometry focuses on the laws of basic reasoning and logical conclusion formation. Students study plane, solid, and coordinate geometry, applying algebraic methods to solve real-world geometric problems. This integration of algebra and geometry helps students understand the interconnectedness of mathematical principles.

Building on the foundation of Algebra I, this college preparatory course prepares students for Pre-Calculus. The curriculum covers a wide range of topics including systems of equations, quadratic and polynomial functions, exponential and logarithmic functions, rational functions, conic sections, and trigonometric ratios. Students develop a deeper understanding of mathematical relationships and functions.

As a college preparatory course, Pre-Calculus reinforces concepts from Algebra II while laying the necessary foundation for Calculus. Students explore linear, polynomial, rational, exponential, and logarithmic functions, as well as trigonometry, analytic geometry, and sequences. The curriculum challenges students to refine the study skills essential for mastering higher-level mathematics.

Calculus provides a comprehensive overview of advanced mathematical concepts including limits, continuity, derivatives, integrals, and differential equations. Students master the Fundamental Theorem of Calculus and learn to approach problems graphically, numerically, analytically, and verbally. The course emphasizes making connections between these representations to solve complex problems.

This course offers a thorough introduction to counting and probability, covering permutations, combinations, Pascal’s triangle, geometric probability, and the Binomial Theorem. In the second semester, students delve into advanced topics such as inclusion-exclusion, recursion, conditional probability, generating functions, and graph theory, preparing them for college-level statistical analysis.