Cathedral High School

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Math

Mathematics

 

 

Algebra I (Honors and Regular)

This course introduces students to fundamental algebraic concepts, including operations with real numbers, solving linear equations and inequalities, graphing functions, and working with polynomials and rational expressions. The honors section covers these topics at a more accelerated pace and delves deeper into complex problem-solving.

 

Geometry (Honors and Regular)

Students explore the properties and applications of geometric figures, focusing on concepts such as congruence, similarity, transformations, and theorems involving lines, angles, and circles. The course also covers coordinate geometry, surface area, volume, and logical reasoning through proofs. The honors section emphasizes a more rigorous approach to proofs and problem-solving.

 

Algebra II (Honors and Regular)

Building upon Algebra I, this course delves into complex number systems and various functions, including polynomial, exponential, logarithmic, and rational functions. Students also study conic sections, matrices, systems of equations, sequences, and series. The honors section offers an accelerated pace with more challenging problem sets to enhance higher-order thinking skills.

 

Precalculus

This course prepares students for calculus by reviewing and expanding upon topics from Algebra II. Key areas of study include polynomial, rational, exponential, and logarithmic functions; systems of equations; matrices; trigonometric functions and identities; vectors; parametric equations; conic sections; and sequences and series.

 

Advanced Quantitative Reasoning (AQR)

AQR focuses on applying mathematical concepts to real-world situations. Students engage in problem-solving using statistics, financial mathematics, probability, and mathematical modeling. The course emphasizes reasoning, communication, and the use of technology to analyze and interpret data, preparing students for informed decision-making in everyday life.

 

Precalculus (Early Admissions College Course)

EPCC Course Numbers: MATH 1314 & MATH 2412

This dual-credit course offers a comprehensive study of algebra and trigonometry, covering topics such as functions and graphs, polynomial and rational functions, exponential and logarithmic functions, trigonometric identities and equations, vectors, sequences, series, and analytic geometry. Successful completion provides both high school and college credit.

 

Calculus (Early Admissions College Course)

EPCC Course Numbers: MATH 2413 & MATH 2314

This dual-credit course introduces students to differential and integral calculus of functions of a single variable. Topics include limits, continuity, derivatives, definite and indefinite integrals, applications of the definite integral, techniques of integration, infinite series, and polar coordinates. Students earn both high school and college credit upon successful completion.