Mathematics
Mathematics has long contributed to discovery and problem-solving in science and technology, decision-making in business and government, and creative expression in the arts. Our Mathematics program is structured to meet the needs and abilities of all our students.Most courses have both regular and honors sections. Although three years of mathematics are required by CatholicMemorialSchool, we strongly encourage students to take four years.
Courses
Integrated Math I (630)
This seventh grade pre-Algebra course is a bridge between arithmetic and Algebra intended to reinforce basic skills and procedures, while also introducing students to Algebraic concepts. Topics include decimals, fractions, integers, percents, proportions, equations and inequalities, patterns and functions, and graphing.
Integrated Math II (631)
This eighth grade class reinforces basic skills and then introduces students to algebraic concepts. Topics include patterns, equations, integers, exponents and metrics, fractions, decimals, proportions, angles and measurement. Students also learn signed numbers, exponential numbers, sets and systems, multi-step equations and geometry.
Algebra 8 Honors (633)
Eighth graders recommended for this course are offered a comprehensive introduction to Algebra at a faster pace. In addition to topics covered in the Integrated Math II class, students also explore: solutions to linear equations, polynomials, factoring, rational expressions, functions and relations, slopes and intercepts of lines, inequalities, systems of equations, roots and radicals, quadratic equations, Euclidean geometry, plane and three dimensional geometry, rations, proportions, percents, right triangles, trigonometry, and coordinate graphing.
Algebra I (310, 312)
This course includes a sound treatment of essential algebraic concepts and skills. Topics include: signed numbers, set theory, solutions of first degree equations, polynomials, factoring, fractional expressions, graphing and the equations of lines, systems of equations, and radicals.
Algebra I Honors (313)
This course is intended for the talented mathematics student. Course content, treatment, and methodology are demanding, rigorous, and comprehensive. Topics include: solutions to linear equations, polynomials, factoring, rational expressions, functions and relations, slope and intercepts of a line, inequalities, systems of equations, roots and radicals, and quadratic equations.
Geometry (322, 331)
This course presents essential geometric concepts and their logical consequences. Particular emphasis is placed on deductive reasoning and the mastery of properties of the standard geometric figures and their applications. Students are expected to acquire an understanding of the basic structures of geometry and to develop an appreciation of logical reasoning. The following topics are included: the demonstration of theorems, induction and deduction, angle relationships, perpendicularity, congruent and similar triangles, circles, areas of polygons and circles, and areas and volumes of solids.
Geometry Honors (323)
This course is intended for the especially talented mathematics student. The dual objectives of this course are to establish an understanding of the logical, deductive basis of geometry and to develop a facility in the application of geometric concepts. Topics include: methods of proof, induction and deduction, angle relationships, perpendicular lines and planes, congruency and similarity of polygons, simple trigonometry of the right triangle, circles, constructions and loci, areas of polygons and circles, and areas and volumes of solids. Prerequisite: teacher recommendation.
Algebra II (332, 320)
The primary objectives of this course are to provide students with a solid knowledge of second year algebra and to lay the foundation for further study in finite mathematics and trigonometry. Topics include: linear equations, factoring polynomials, powers and roots, quadratic equations, systems of equations, relations and functions, logarithms, complex numbers, and elementary trigonometry.
Algebra II Honors (333)
The main purpose of this course is to provide a solid foundation of second year algebra, finite mathematics, and the essentials of trigonometry. The course content will include: linear equations, functions, factoring polynomials, systems of equations, determinants and matrices, complex numbers, quadratic equations, exponential functions and logarithms, sequences and series, probability and trigonometric functions. This course is designed for those students with strong mathematical ability. Prerequisite: teacher recommendation.
Mathematical Analysis Honors (334)
The primary objective of this course is to prepare students for a thorough and rigorous calculus course at the Advanced Placement and college level. A comprehensive treatment of trigonometry and analytic geometry will be emphasized. Other topics included will be solution of higher degree equations, function theory, vectors, sequences and series, probability, polar coordinates, and matrices. Prerequisite: teacher recommendation.
College Prep Mathematics 12 (341)
The dual objective of this course is to present students with elements of algebra, geometry, and trigonometry necessary for college level mathematics and to prepare for the SAT examination. Topics include: quadratic and higher degree equations, a thorough treatment of trigonometry, exponents and logarithms, complex numbers, and determinants. Prerequisite: teacher recommendation.
Pre-Calculus (342)
This course is designed for the competent mathematics student. Topics include: conic sections, linear and quadratic inequalities, functions and relations, exponents, logarithms, solution of polynomial equations, vectors, complex numbers, matrices and determinants, and a full treatment of trigonometry. Prerequisite: teacher recommendation.
Advanced Placement Calculus (344)
The primary purpose of this course is to present to the student a demanding, rigorous course in Calculus as preparation for the Advanced Placement Calculus Test nationally administered in May. Topics include: functions and derivatives, maxima-minima problems, related rates, definite and indefinite integrals, continuity, limits, the differential, logarithmic and exponential functions, elementary differential equations, and techniques of integration. Prerequisite: Math Analysis Honors as well as teacher
recommendation.
Discrete Mathematics Honors (355)
This course is intended for competent senior math students who would like to take a second math course. Topics include: probability, statistics, matrix algebra, graph theory and Hamiltonian circuits, Markov chains, recursion, codes, and election theory.
Accounting I (705)
This course offers an introduction to the accounting cycle and its underlying concepts. It covers the techniques involved in the analysis of financial transactions, journalizing, posting, summarization of data for trial balances, worksheets, preparation of financial statements, and types of payroll systems. This course is open to juniors and seniors.
Accounting II (706)
This second year course is a continuation of Accounting I. Students who have achieved competence in Accounting I are offered the opportunity to study the field in much more depth. Prerequisite: teacher recommendation.