• MATHEMATICS DEPARTMENT

     

  • CONTACT

     

    Mr. Walter Walsh, M.A.

    Mathematics Chairperson

    walter.walsh@holycrossacademy.org

    (856) 461-5400 x3160

     


  •  Students who are enrolled in ANY mathematics course MUST complete a review packet prior to entering the course. Please download math packets above. Review packets can be obtained after schedule distribution in August 2017. The packet is the first written assessment for each course.

     

    *Algebra 1, Modern Geometry and Algebra 2/Trigonometry are the core classes in the Holy Cross college preparatory curriculum.

     

    Please be aware that the Ti-84 Plus (or higher) graphing calculator is required for most math courses.

     


     

    3010 Algebra I

    Grade: 9

    5 Credits

    Semester Prerequisite(s): None

     

    This course is intended for the majority of the first-year students. It employs the concept of field properties to develop basic principles in a systematic, meaningful way. Emphasis is on fundamental mathematical processes and the number system. Topics for discussion include the structure of the real number system, solution of open sentences, operations of polynomials, functions and graphing of linear equations, solution of quadratic equations and inequalities. The maturity of the students determines the depth to which each topic is developed.


     3015 Honors Algebra 1

    Grade: 9

    5 Credits

    Semester Prerequisite(s): None

    This course is open by invitation only based on a student’s grades, standardized scores, and placement test.

     

    This course is designed for students who have performed at an above average level in mathematics in elementary school. Course content covers the topics of Algebra I in greater depth and at a faster pace, thus providing time for enrichment through the study of optional performance objectives. Optional topics may include algebraic proof, algebraic applications using mathematical modeling, advanced factoring methods, polynomial long division and complex fractions.


     

    3030 Modern Geometry

    Grade: 9-10

    5 Credits

    Semester Prerequisite(s): Algebra I

    Advanced testing is required for freshman placement in this course.

     

    This course unifies concepts of geometry, algebra and arithmetic. The structure of mathematics is developed through the study of geometric figures. The importance of definitions, postulate and theorems is emphasized in the study of proofs. Standard proof techniques are carefully developed. Deductive reasoning, along with the concepts of logic, is interwoven throughout the course. Besides the study of basic figures such as parallelograms, triangles and circles, topics such as congruence, similarity, inequalities, parallelism, perpendicularity, area and volume are studied. Coordinate geometry is introduced. An attempt is made to foster creative and original thinking by the student. Problems with varying stages of complexity geared to the needs and ability of the student are presented to attain this goal.


     3035 Honors Modern Geometry

    Grade: 9-10

    5 Credits

    Semester Prerequisite(s): 90 in Algebra I OR an 80 in Honors Algebra I

    Advanced testing is required for freshman placement in this course

     

    This course contains a challenging coverage of geometric topics. Students receive the complete course in modern geometry. The exercise sets offer reinforcing practice, enriching extensions and interesting applications. Students may be asked to do outside reading in mathematics topics and report back to the group.


     3060 College Mathematics

    Grade: 11-12

    5 Credits

    Semester Prerequisite(s): Modern Geometry

     

    The course will serve to meet state requirements in higher education and covers the concepts and skills traditionally expected of a liberal arts major. Topics include: the nature of mathematical reasoning, problem solving strategies, and consumer mathematics concepts (percent, simple and compound interest, installment buying, home ownership, stocks and bonds). If time permits the following topics may also be included: logic, numeration systems, voting methods, and other mathematical systems.


     

    3050 Algebra 2 and Trigonometry

    Grade: 10-12

    5 Credits

    Semester Prerequisite(s): Modern Geometry

     

    In this standard third year course, all of the Algebra II curriculum is covered along with right triangle trigonometry, trigonometric functions of obtuse angles and laws of cosines and sines.

     

    TI-84 Plus (or higher) graphing calculator required


     

    3055 Honors Algebra 2 and Trigonometry

    Grade: 10-12

    5 Credits

    Semester Prerequisite(s): 90 in Modern Geometry OR an 80 in Honors Modern Geometry

     

    This course is designed for the mathematics student of above average ability. Its major goal is to lead the student to a better understanding of mathematical principles with a balance between theory and practice and to assist students with a general understanding of mathematical application. The structure of the real number system is emphasized and is used as the basis for the development of the complex number system. Trigonometry is presented using the notion of functions and building on the student’s familiarity with coordinates and properties of real numbers. Other topics of discussion are the study of methods for solution of linear equations and inequalities, sequences and series, operations of polynomials and rational algebraic expressions, radicals, irrational numbers, quadratic functions, equations, determinants and logarithms.

     

    TI-84 Plus (or higher) graphing calculator required


    3080 Trigonometry

    Grade: 11-12

    5 Credits

    Semester Prerequisite(s): An average of 80 or higher in Algebra II or successful completion of Algebra II/Trigonometry.

     

    This course will include a complete study of trigonometric and circular functions. Trigonometry topics will include right triangle trigonometry, solving triangles using trigonometric functions, trigonometric function graphs, identities, solving trigonometric equations and polar coordinates. Applications of trigonometry will be explored including applications involving the relationship between trigonometry and complex numbers. Successful completion of this course could lead to the study of calculus.

     

    TI 84 Plus (or higher) graphing calculator required


     

    3065 Honors Pre-Calculus Functions

    Grade: 11-12

    5 Credits

    Semester Prerequisite(s): an average of 80 or above in Honors Algebra II/Trig or 90 in Algebra II/Trig or 90 or higher in Trigonometry

    This college level course may be taken for college credit through the College Acceleration Program (CAP) offered through Burlington County College.

     

    This course is designed to provide the student with the solid background needed for the study of calculus and other college math courses. By its nature, this course is difficult. Throughout the course, the student is introduced to the structure of mathematics and the general idea of a function and its properties followed by detailed studies of polynomial, rational, trigonometric, logarithmic and exponential functions. Mathematical modeling is used to illustrate the practical application of these topics to other fields of study. Students are introduced to elementary topics in calculus such as derivatives and their applications as well as area under the curve. With the use of technology, students concentrate on exploring, understanding and applying mathematical concepts introduced throughout the course. If time permits, additional topics such as natural logarithms, conic sections, matrices and determinants are explored.

     

    TI 84 Plus (or higher) graphing calculator required


     

    3075 Honors Probability and Statistics

    Grade: 10-12

    5 Credits

    Semester Prerequisite(s): 90 or above in Modern Geometry OR an 80 or above in Honors Modern Geometry OR a 90 or above in Algebra 2 OR an 80 or above in Algebra 2 w/Trigonometry

    This college level course may be taken for college credit through the College Acceleration Program (CAP) offered through Burlington County College.

     

    This course is the standard college course in probability and statistics. The course is an introduction to mathematical condition and methods of probability theory, combination methods, expectations and independence. Algebra is used as a tool throughout the development of this course. Topics for discussion are as follows: data gathering, sampling, central tendencies, dispersion, position, permutations, combinations and general theory of probability, regression, correlation, t distributions, hypothesis testing and an ANOVA. Non-parametric statistics is introduced.

     

    TI-84 Plus (or higher) graphing calculator required


     

    3085 Honors Calculus I

    Grade: 11-12

    5 Credits

    Semester Prerequisite(s): 90 Honors Algebra 2/Trig OR an 80 in Honors Precalculus Functions

    This college level course may be taken for college credit through Seton Hall’s Project Acceleration or the College Acceleration Program (CAP) offered through Burlington County College.

     

    Calculus I is a course in differential and integral calculus. The course starts with a review of important analysis and trigonometric topics including vertical and horizontal asymptotes, Pascal’s triangle, circular trigonometric functions, etc. Limits, their meaning and methods of computing them, are given a thorough coverage next. Differential calculus is covered from the definition of the derivative as a specific limit to methods of taking derivatives and applications of the derivative including max-min problems, related rates, curve sketching, rates of change, etc. The course then concludes with a proof of the fundamental theorem of calculus, methods of integration, definite integrals and applications of integration including areas under and between curves, volumes and arc lengths.

     

     

    TI 84 Plus (or higher) graphing calculator required


     

    3910 Advanced Placement Calculus II

    Grade: 12

    5 Credits

    Semester Prerequisite(s): C or above in Honors Calculus I

    This college level course may be taken for college credit through Seton Hall’s Project Acceleration.

     

    AP Calculus II is a continuation of Calculus I (any topic not finished in calculus I will be given a thorough treatment). The class will use one day a week to sample AP test-type questions in an effort to prepare the student for the AP calculus exam. Topics covered will include the natural logarithm and exponential functions, inverse trigonometric functions, further methods of integration, sequences and series, polar coordinates and vectors and parametric equations. Students must take the advanced placement exam in May.

     

    TI 84 Plus (or higher) graphing calculator required