Mathematics

Central Catholic Mathematics Department strives to meet students at their skill and knowledge level, develop and implement a 4 year mathematics course tract specifically to successfully challenge the student, and adequately prepare them to meet and exceed their personal educational and career goals. Honing a student’s computational thinking skills and developing their problem solving techniques is critical regardless of the career path each student chooses. With great knowledge comes great responsibility, so throughout the decision-making process in solving a real-life problem, it is essential for the student to apply Christian principles, recognizing the impact the decision will have on people and the surroundings.

4 credits in mathematics are required for graduation.

Instructors

Courses

PRE-ALGEBRA

This is a moderately paced course which starts with a review of basic concepts of Algebra. Topics include: concepts of directed numbers, factors and multiples of numbers, expressions, equations and inequalities, functions, and operations with binomials, polynomials, exponents, factoring, and quadratic equations.

ALGEBRA I

This course starts with the basic concepts and terminology of Algebra. Topics emphasized include: linear and quadratic equations, functions, exponents, polynomials, factoring, graphing, and word problem-solving methods incorporating basic arithmetic skills.

GEOMETRY

This course teaches the basic terminology needed to understand and use the concepts of angles, parallel lines, polygons, congruency, similarity, right triangles, deductive reasoning, proofs, circle theorems, area and volume.

HONORS GEOMETRY

This course teaches students to recognize and use symbols for points, lines, planes and angles. This is coordinated with the concepts of parallel lines and their relation to polygons, deductive and inductive reasoning, congruency and similarity of polygons, right triangles, circle theorems, area, volume, basic construction, formal proofs and coordinate geometry.

ALGEBRA II

This course is designed for students of varying abilities who wish to take a second year of algebra. Topics include: a review of Algebra I skills, linear and quadratic equations, functions, polynomials, factoring, rational expressions, and radical and complex numbers.

HONORS ALGEBRA II

This course is structured to prepare students for pre-calculus. Topics include: an in-depth study of functions, linear equations and inequalities, polynomials, factoring, rational expressions, irrational and complex numbers, quadratic equations, and other related algebraic topics.

AP STATISTICS

AP Statistics is the high school equivalent of a one semester, introductory college statistics course. In this course, students develop strategies for collecting, organizing, analyzing, and drawing conclusions from data. Students design, administer, and tabulate results from surveys and experiments. Probability and simulations aid students in constructing models for chance behavior. Sampling distributions provide the logical structure for confidence intervals and hypothesis tests. Students use a TI-84 graphing calculator, the statistical programming language R, and Web-based applets to investigate statistical concepts. To develop effective statistical communication skills, students are required to prepare frequent written and oral analyses of real data.

PRE-CALCULUS

This course is designed to provide students with a background for a college mathematics class. Topics include: degree and radian measure, trigonometric functions, identities, equations, applications of trigonometry, conic sections, probability, exponential and logarithmic functions.

HONORS PRE-CALCULUS

This course is designed to prepare students for calculus. Topics include: radian measure, value and graphs of trigonometric functions, polar coordinates, triangle trigonometry and its applications, identities, inverses, equations, vectors, coordinate geometry of conic sections, exponential and logarithmic functions.

MATH APPLICATIONS

This course reviews algebraic and geometric concepts presented in prior mathematics courses. New topics include: matrices and determinates, probability, permutations and combinations, sequences and series, and statistics. Practical applications include: money management and investment strategy.

BUSINESS MATH

This course starts with a review of basic math skills. New topics include: personal finance with regards to income, record keeping, checking, savings, charge accounts, and loans. Practical applications include: sales, marketing, and financial management.

AP CALCULUS A/B

This course follows AP Central’s guidelines, covering all required topics, including, but not limited to functions, graphs, and limits, derivatives, the mean value theorem, Riemann sums, integrals, and the Fundamental Theorem of Calculus.

AP CALCULUS B/C

This course follows AP Central’s guidelines, covering all required topics, including AP Calc A/B topics in deeper detail plus polynomial approximations, Taylor, MacLaurin, geometric, harmonic and alternating series as well as parametric, polar and vector functions.