COURSE TITLE (560) 
Virtual High School (Year) 
LEVEL 
Regular, Honors, Accelerated, AP 
GRADE(S) 
11, 12 
CREDITS 
5.0 
COURSE DESCRIPTION 
The VHS Collaborative Course Catalog is available at http://thevhscollaborative.org. Working in the Virtual High School environment demands good time management skills. Students participate in group discussion, engage in group projects, complete papers, and communicate with their teachers and peers located around the world via the internet. Students should take time to visit the Virtual High School website and look through the Course Catalog. An additional fee, aside from the standard VHS fee, applies when selecting lab science, Advanced Placement or some other courses.
Select three (3) options and then email Mrs. Andrews. The email of 100 words should indicate why the student is interested in taking online courses, which courses he/she is interested in taking and why. This step will begin the application process. Mrs. Andrews will contact you with further information. Parents & students can send questions to Mrs. Andrews at nandrews@unioncatholic.org. A nonrefundable fee charged at the August Book Sale applies to all virtual high school courses. 
PREREQUISITE 
A desire to experience the online course environment, good time management skills, and a good academic record. 
COURSE TITLE (561) 
Virtual High School (Sem. 1) 
LEVEL 
Regular, Honors, Accelerated, AP 
GRADE(S) 
11, 12 
CREDITS 
2.5 
COURSE DESCRIPTION 
The VHS Collaborative Course Catalog is available at http://thevhscollaborative.org. Working in the Virtual High School environment demands good time management skills. Students participate in group discussion, engage in group projects, complete papers, and communicate with their teachers and peers located around the world via the internet. Students should take time to visit the Virtual High School website and look through the Course Catalog. An additional fee, aside from the standard VHS fee, applies when selecting lab science, Advanced Placement or some other courses.
Select three (3) options and then email Mrs. Andrews. The email of 100 words should indicate why the student is interested in taking online courses, which courses he/she is interested in taking and why. This step will begin the application process. Mrs. Andrews will contact you with further information. Parents & students can send questions to Mrs. Andrews at nandrews@unioncatholic.org. A nonrefundable fee charged at the August Book Sale applies to all virtual high school courses. 
PREREQUISITE 
A desire to experience the online course environment, good time management skills, and a good academic record. 
COURSE TITLE (562) 
Virtual High School (Sem. 2) 
LEVEL 
Regular, Honors, Accelerated, AP 
GRADE(S) 
11, 12 
CREDITS 
2.5 
COURSE DESCRIPTION 
The VHS Collaborative Course Catalog is available at http://thevhscollaborative.org. Working in the Virtual High School environment demands good time management skills. Students participate in group discussion, engage in group projects, complete papers, and communicate with their teachers and peers located around the world via the internet. Students should take time to visit the Virtual High School website and look through the Course Catalog. An additional fee, aside from the standard VHS fee, applies when selecting lab science, Advanced Placement or some other courses.
Select three (3) options and then email Mrs. Andrews. The email of 100 words should indicate why the student is interested in taking online courses, which courses he/she is interested in taking and why. This step will begin the application process. Mrs. Andrews will contact you with further information. Parents & students can send questions to Mrs. Andrews at nandrews@unioncatholic.org. A nonrefundable fee charged at the August Book Sale applies to all virtual high school courses. 
PREREQUISITE 
A desire to experience the online course environment, good time management skills, and a good academic record. 
COURSE TITLE (604) 
General Math 
LEVEL 
Foundations 
GRADE(S) 
9 
CREDITS 
5.0 
COURSE DESCRIPTION 
In this course students will build and reinforce foundational math skills achieving the computational skills needed to undertake Algebra 1. 
PREREQUISITE 
Recommendation of Student Support Services. 
COURSE TITLE (611) 
Algebra Concepts 
LEVEL 
Foundations 
GRADE(S) 
10 
CREDITS 
5.0 
COURSE DESCRIPTION 
This course includes such topics as solving equations and inequalities, polynomials, simple factoring, and an introduction to graphing. 
PREREQUISITE 
Successful completion of General Math. Completion of Algebra 1 (course #614) with a grade of D. 
COURSE TITLE (614) 
Algebra 1 Part 1 
LEVEL 
* 
GRADE(S) 
9 
CREDITS 
5.0 
COURSE DESCRIPTION 
This is the first course in a twoyear algebra sequence that concludes with Algebra 1 Part 2. In this course, students learn to identify the structure and properties of the real number system, complete operations with integers and other rational numbers, work with square roots and irrational numbers, graph linear equations and solve linear equations and inequalities in one variable. This course covers the standard Algebra 1 curriculum over a period of two years providing students with more time to learn and practice key concepts and skills. *This course is recommended for students who would benefit from a slower pace, more review, and a methodical approach to learning Mathematics and is weighted accordingly.

PREREQUISITE 
Recommendation of Student Support Services. 
COURSE TITLE (615) 
Algebra 1 
LEVEL 
Regular 
GRADE(S) 
9, 10 
CREDITS 
5.0 
COURSE DESCRIPTION 
This course is designed to be a basis for any further study in mathematics. The basic skills of mathematics are emphasized throughout the course. Solving open sentences, simplifying algebraic expressions, factoring polynomials, graphing on the number line and in the plane, and solving word problems are main areas in which the student will acquire proficiency. 
PREREQUISITE 
Recommendation of Student Support Services. 
COURSE TITLE (617) 
Algebra 1 H 
LEVEL 
Honors 
GRADE(S) 
9 
CREDITS 
5.0 
COURSE DESCRIPTION 
This course, for high ability and selfmotivated students, covers the standard course content of Algebra 1 in depth. Topics covered include the properties of the real number system, equations and inequalities in one and two variables, rational expressions, irrational numbers, functions and relations, quadratics and the Cartesian plane. The course provides the foundation necessary to proceed to Algebra 2 Honors. 
PREREQUISITE 
Recommendation of Student Support Services. 
COURSE TITLE (621) 
Algebra 1 Part 2 
LEVEL 
* 
GRADE(S) 
10, 11 
CREDITS 
5.0 
COURSE DESCRIPTION 
This course builds upon the algebraic concepts covered in Algebra 1 Part 1. New topics include solving open sentences, simplifying algebraic expressions, factoring polynomials, graphing on the number line, solving polynomials by factoring, fractions, functions, and inequalities. *This course is recommended for students who would benefit from a slower pace, more review, and a methodical approach to learning Mathematics and is weighted accordingly. 
PREREQUISITE 
Successful completion of Algebra 1 Part 1 with a grade of C or higher. 
COURSE TITLE (627) 
Geometry 
LEVEL 
* 
GRADE(S) 
10, 11 
CREDITS 
5.0 
COURSE DESCRIPTION 
This course emphasizes the basic structure of geometry. Fundamental relationships of angles, lines, parallelograms, polygons, and circles are studied together with area and volume. *This course is recommended for students who would benefit from a slower pace, more review, and a methodical approach to learning Mathematics and is weighted accordingly. 
PREREQUISITE 
Successful completion of Algebra 1, Part 1 and Part 2; successful completion of Algebra Concepts. Students that complete Algebra 1 in summer school should enroll in this class. 
COURSE TITLE (634) 
Math Essentials 
LEVEL 
Regular 
GRADE(S) 
10 
CREDITS 
2.5 
COURSE DESCRIPTION 
This course is designed to strengthen Algebra skills and help prepare students for the PSAT/SAT and ACT. This course is required of all sophomores currently enrolled in Geometry Regular. 
PREREQUISITE 
Successful completion of Algebra 1 and current enrollment in Geometry. 
COURSE TITLE (635) 
Geometry 
LEVEL 
Regular 
GRADE(S) 
9, 10, 11 
CREDITS 
5.0 
COURSE DESCRIPTION 
This course emphasizes the basic structure of geometry and proficiency in developing formal proofs. Fundamental relationships of angles, parallel and perpendicular lines, parallelograms, congruent and similar polygons, and circles are studied together with area, volume, and construction of plane figures. 
PREREQUISITE 
Successful completion of Algebra 1 Regular or recommendation of the Learning Area Administrator, Dr. Piasecki. 
COURSE TITLE (637) 
Geometry H 
LEVEL 
Honors 
GRADE(S) 
9, 10 
CREDITS 
5.0 
COURSE DESCRIPTION 
This course is designed to emphasize the theory of Plane Geometry. Topics covered include mathematical structures (undefined terms, axioms, definitions, theorems), induction, deduction, angle relationships, parallel and perpendicular lines and planes, congruent and similar polygons, geometric constructions, foci, circles and arcs, areas of circles and polygons, areas and volumes of solids, and coordinate geometry and its related proofs. 
PREREQUISITE 
Successful completion of Algebra 1 Honors with a grade of C+ or better or approval of the Mathematics Learning Area Administrator, Dr. Piasecki. 
COURSE TITLE (638) 
Math Essentials H 
LEVEL 
Honors 
GRADE(S) 
10 
CREDITS 
2.5 
COURSE DESCRIPTION 
This course is designed to strengthen Algebra skills and help prepare students for the PSAT/SAT and ACT. This course is required of all sophomores currently enrolled in Honors or Accelerated Geometry. 
PREREQUISITE 
Successful completion of Algebra 1 Honors. Current enrollment in Geometry Honors or Geometry Accelerated. 
COURSE TITLE (639) 
Geometry AC 
LEVEL 
Accelerated 
GRADE(S) 
9, 10 
CREDITS 
5.0 
COURSE DESCRIPTION 
This course is designed to emphasize the theory of Plane Geometry. Topics covered include mathematical structures (undefined terms, axioms, definitions, theorems), induction, deduction, angle relationships, parallel and perpendicular lines and planes, congruent and similar polygons, geometric constructions, foci, circles and arcs, areas of circles and polygons, areas and volumes of solids, and coordinate geometry and its related proofs. 
PREREQUISITE 
Successful completion of Algebra 1 H with a grade of B+ or better or approval of the Mathematics Learning Area Administrator, Dr. Piasecki. 
COURSE TITLE (653) 
Intro Algebra 2 
LEVEL 
Foundations 
GRADE(S) 
11, 12 
CREDITS 
5.0 
COURSE DESCRIPTION 
This course builds upon the algebra covered in Algebra Concepts. New topics include solving open sentences, simplifying algebraic expressions, factoring polynomials, graphing on the number line, solving polynomials by factoring, functions, and inequalities. 
PREREQUISITE 
Successful completion of Geometry and Algebra Concepts. 
COURSE TITLE (655) 
Algebra 2 
LEVEL 
Regular 
GRADE(S) 
11, 12 
CREDITS 
5.0 
COURSE DESCRIPTION 
This course begins with a brief review of Algebra 1 skills. Algebra is then extended to include quadratic functions, graphs of polynomials, inequalities, and rational expressions. This course is unified through the use of function and relation concepts. 
PREREQUISITE 
Completion of Algebra 1 Regular and Geometry Regular with at least a grade of C. 
COURSE TITLE (657) 
Algebra 2 H 
LEVEL 
Honors 
GRADE(S) 
10, 11 
CREDITS 
5.0 
COURSE DESCRIPTION 
This course begins with a brief review of topics covered in Algebra 1 Honors. The study of Algebra then continues with quadratics, rational expressions, matrices and logarithms. 
PREREQUISITE 
Successful completion of Algebra 1 Honors with a grade of C or better and Geometry Honors with grade of C or better, or concurrently with Geometry Honors with an Algebra 1 Honors grade of B+ or better and approval of the Learning Area Administrator, Dr. Piasecki. 
COURSE TITLE (659) 
Algebra 2 AC 
LEVEL 
Accelerated 
GRADE(S) 
10, 11 
CREDITS 
5.0 
COURSE DESCRIPTION 
This course extends the study of Algebra to include quadratics, rational expressions, logarithms, matrices, probability and statistics. 
PREREQUISITE 
Successful completion of Geometry Accelerated with a grade of B or better or recommendation of Algebra 1 Honors Teacher; OR concurrently with Geometry Accelerated with an Algebra 1 Honors grade of B+ or better and approval of the Learning Area Administrator, Dr. Piasecki. 
COURSE TITLE (661) 
Math TA 
LEVEL 
Regular 
GRADE(S) 
12 
CREDITS 
5.0 
COURSE DESCRIPTION 
The purpose of this elective program is to provide students with realistic experiences to help them determine if their interests and abilities are compatible with a career in education. The students function as teacher aides in a variety of settings, and have opportunities to develop and present lessons. Professional readings will also be required. 
PREREQUISITE 
A cumulative average of B in Regular Mathematics and Department recommendation. Students must also enroll in Selected Topics in Education,Course # 195; see English Department Selections.

COURSE TITLE (663) 
PreCalculus AC 
LEVEL 
Accelerated 
GRADE(S) 
11, 12 
CREDITS 
5.0 
COURSE DESCRIPTION 
This course extends the topics discussed in Algebra 2 and introduces new topics which include Coordinate Geometry of lines and conics, circle and triangle trigonometry, functions and their graphs, exponentials and logarithms, complex numbers, the algebra of vectors, sequences and series. This course lays the foundation for Calculus by developing logical thought processes and the concept of limits. 
PREREQUISITE 
Successful completion of Geometry Honors and Algebra 2 Honors with grades of B+ or better, completion of Algebra 2 AC with a grade of B or better. 
COURSE TITLE (665) 
Algebra 2 
LEVEL 
* 
GRADE(S) 
11, 12 
CREDITS 
5.0 
COURSE DESCRIPTION 
This course will review and build upon algebraic concepts covered in previous courses. Topics include solving linear equations and inequalities, rational expressions, and factoring. This course is unified through the use of function and relation concepts. *This course is recommended for students who would benefit from a slower pace, more review, and a methodical approach to learning Mathematics and is weighted accordingly. 
PREREQUISITE 
Successful completion of Geometry (course #627) and a grade of D in Algebra 1 R or Algebra 1 Part 2 with a grade of C or higher. Students completing Algebra 1 in summer school should take this course. 
COURSE TITLE (667) 
Advanced Algebra with Trigonometry 
LEVEL 
Regular 
GRADE(S) 
11, 12 
CREDITS 
5.0 
COURSE DESCRIPTION 
This course begins with a review of the real and complex number systems, solving equations and inequalities, and functions including linear and quadratic. It will then cover the basics of triangle and circular trigonometry. Permutations, combinations, probability and trigonometry will also be covered. 
PREREQUISITE 
Successful completion of Algebra 2 Regular with a grade of C+ or higher or Algebra 2 Honors with a grade less than C. 
COURSE TITLE (668) 
Algebra 3 
LEVEL 
* 
GRADE(S) 
11, 12 
CREDITS 
5.0 
COURSE DESCRIPTION 
This course is designed to review the concepts of Algebra 2. New material will include an introduction to exponential functions, logs, sequence and series, trigonometry, statistics and probability. The emphasis of the course is on manipulative skills. *This course is recommended for students who would benefit from a slower pace, more review, and a methodical approach to learning Mathematics and is weighted accordingly. 
PREREQUISITE 
Completion of Algebra 2 Regular with a grade less than C+ OR completion of Algebra 2 course # 665 or Intro to Algebra 2. 
COURSE TITLE (671) 
Analysis H (PreCalculus) 
LEVEL 
Honors 
GRADE(S) 
11, 12 
CREDITS 
5.0 
COURSE DESCRIPTION 
This course extends the topics of Algebra 2 and introduces new topics including trigonometry, complex numbers, vectors, coordinate Geometry of lines and conics, functions and their graphs, exponents and logarithms, sequences and series. This course lays a foundation for advanced mathematics by developing logical thought processes and the concept of limits. 
PREREQUISITE 
Successful completion of Algebra 2 Honors and Geometry Honors with a grade of C+ or better. 
COURSE TITLE (675) 
Calculus H 
LEVEL 
Honors 
GRADE(S) 
12 
CREDITS 
5.0 
COURSE DESCRIPTION 
This course is intended for students who have a thorough knowledge of college preparatory mathematics, including algebra, axiomatic geometry, trigonometry, and analytic geometry (rectangular coordinates, equations and graphs, lines and conics). It is not assumed that they have acquired a sound understanding of the theory of elementary functions. This course will give the student a better understanding of Calculus courses taken in college. 
PREREQUISITE 
Successful completion of PreCalculus with a grade less than B+; or successful completion of Mathematical Analysis Honors with a grade of B+ or higher or approval of the Learning Area Administrator, Dr. Piasecki. 
COURSE TITLE (677) 
AP Calculus AB 
LEVEL 
Advanced Placement 
GRADE(S) 
11, 12 
CREDITS 
5.0 
COURSE DESCRIPTION 
This course is intended for those students who have a thorough knowledge of college preparatory mathematics, including algebra, geometry, trigonometry, and coordinate geometry (rectangular and polar coordinates, equations and graphs, lines and conics). This course is designed as a first year college calculus course. Students are eligible to earn 3 college credits for this course through the Fairleigh Dickinson Middle College Program. Enrollment in the Middle College Program is optional and involves a fee of approximately $220 per course. Registration takes place during the first week of the school year. NOTE: This AP course has a required summer assignment. Students are expected to complete their summer assignment before the course begins and submit their work on the first full day of school in September. All students must take the Advanced Placement Test at the end of the course. A nonrefundable fee of approximately $70 will be charged at the book sale for this exam. Students are eligible to earn 3 college credits for this course through the Fairleigh Dickinson Middle College Program. Enrollment in the Middle College Program is optional and involves a fee of $220 due at the start of the school year. 
PREREQUISITE 
Successful completion of PreCalculus with a grade of B+ or better or approval of the Learning Area Administrator, Dr. Piasecki. 
COURSE TITLE (685) 
Probability & Statistics 
LEVEL 
Regular 
GRADE(S) 
11, 12 
CREDITS 
5.0 
COURSE DESCRIPTION 
This elective will introduce students to the concepts of statistics and probability. Students will learn techniques for collecting, analyzing, and drawing conclusions from data. This course is recommended for students majoring in psychology, sociology, medical services or business. Select topics in Discrete Math will also be introduced. 
PREREQUISITE 
Successful completion or concurrent enrollment in Advanced Algebra with Trigonometry. 
COURSE TITLE (687) 
AP Statistics 
LEVEL 
Advanced Placement 
GRADE(S) 
11, 12 
CREDITS 
5.0 
COURSE DESCRIPTION 
This elective is equivalent to a onesemester introductory college course in statistics. It will introduce the student to the major concepts of statistics. The class will develop tools for collecting, analyzing, and drawing conclusions from data. This course is recommended for students majoring in engineering, psychology, sociology, medical services or business. Students are eligible to earn 3 college credits for this course through the Fairleigh Dickinson Middle College Program. Enrollment in the Middle College Program is optional and involves a fee of approximately $220 per course. Registration takes place during the first week of the school year. NOTE: This AP course has a required summer assignment. Students are expected to complete their summer assignment before the course begins and submit their work on the first full day of school in September. All students must take the Advanced Placement Test at the end of the course. A nonrefundable fee of approximately $70 will be charged at the book sale for this exam. 
PREREQUISITE 
Successful completion of Algebra 2 Honors with a B or higher and English Regular with a B+ or higher. 