# Mathematics Course Offerings

## algebra i - cp

Algebra 1 (CP)
Course Level: College Prep
Course #0315

College Prep Algebra 1 emphasizes problem solving skills and algebraic thinking, while reinforcing basic mathematical skills. The course will cover an approved, modified version of the Diocese of Trenton Algebra 1 program. Topics of study include real numbers, solving and using solutions of equations, ratio and proportion, percentages, inequalities, absolute value, functions and their graphs, graphs and analysis of linear functions, direct variation, systems of equations and inequalities, rules for exponents, and polynomial operations and factoring.

## algebra i - acp

Algebra 1 (ACP)
Course LevelAccelerated College Prep
Course #0317

Accelerated College Prep Algebra 1 emphasizes problem solving skills and algebraic thinking. The course will cover the Diocese of Trenton Algebra 1 program. Topics of study include real numbers, solving and using solutions of equations, ratio and proportion, percentages, inequalities, absolute value, functions and their graphs, graphs and analysis of linear functions, direct variation, systems of equations and inequalities, rules for exponents, polynomial operations and factoring, graphs and solutions of quadratic equations, radical expressions, Pythagorean Theorem, trigonometric ratios, and rational expressions.

## honors algebra i

Honors Algebra 1
Course #0319

Honors Algebra 1 emphasizes problem solving skills, algebraic thinking, and the use of proof in algebra. The course will cover the Diocese of Trenton Algebra 1 program, as well as additional topics to prepare students for future studies. Topics of study include real numbers, solving and using solutions of equations, ratio and proportion, percentages, inequalities, absolute value, functions and their graphs, graphs and analysis of linear functions, direct variation, systems of equations and inequalities, rules for exponents, polynomial operations and factoring, graphs and solutions of quadratic equations, radical expressions, Pythagorean Theorem, trigonometric ratios, and rational expressions. Additional topics include absolute value functions, exponential functions, matrices, measures of central tendency, and probability.

## geometry - cp

Geometry (CP)
Course Level: College Prep
Course #0335

College Prep Geometry emphasizes problem solving skills, elementary proof, and logical reasoning, all while reinforcing basic mathematical and algebraic skills. The course will cover an approved, modified version of the Diocese of Trenton Geometry program. Topics of study include basic geometric structures, structure of an axiomatic system, simple methods of proof, properties of angles and segments, properties of parallel lines, properties of congruent figures, special parts of triangles, properties of general polygons, properties of quadrilaterals, similar figures, Pythagorean Theorem, trigonometric ratios, elementary transformations, perimeter and area, surface area and volume, and properties of circles.

## geometry for freshmen

Geometry for Freshmen
Course Level: Accelerated College Prep

Course #0326

Accelerated College Prep Geometry emphasizes problem solving skills, elementary proof, and logical reasoning. The course will cover the Diocese of Trenton Geometry program. Topics of study include basic geometric structures, structure of an axiomatic system, methods of proof, properties of angles and segments, properties of parallel lines, properties of congruent figures, special parts of triangles, properties of general polygons, properties of quadrilaterals, coordinate geometry, similar figures, Pythagorean Theorem, trigonometric ratios, the law of sines and law of cosines, elementary transformations, perimeter and area, surface area and volume, and properties of circles.

## honors geometry

Honors Geometry
Course Level: Honors
Course #0329

Honors Geometry emphasizes problem solving skills, elementary proof, and logical reasoning. The course will cover the Diocese of Trenton Geometry program, as well as additional topics to prepare students for future studies. Topics of study include basic geometric structures, structure of an axiomatic system, methods of proof, properties of angles and segments, properties of parallel lines, properties of congruent figures, special parts of triangles, properties of general polygons, properties of quadrilaterals, coordinate geometry, similar figures, Pythagorean Theorem, trigonometric ratios, the law of sines and law of cosines, elementary transformations, perimeter and area, surface area and volume, and properties of circles. Additional topics include vectors, advanced transformations, and the concept of locus.

## algebra ii - cp

Algebra 2 (CP)
Course Level: College Prep
Course #0343

College Prep Algebra 2 emphasizes problem solving skills and advanced algebraic reasoning, while reinforcing basic algebraic skills. Topics of study include a review of basic algebra skills, slope and linear functions/inequalities, absolute value functions, systems of linear equations/inequalities, matrix algebra, quadratic functions, polynomials and their roots, radical expressions and equations, operations, compositions, and inverses of functions, exponential functions, logarithms, rational expressions and equations, conic sections, sequences and series, and elementary trigonometry in the plane.

## algebra ii - acp

Algebra 2 (ACP)
Grade 9 (Accelerated College Prep only), 10, 11
Course Level: Accelerated College Prep
Course #0337

Accelerated College Prep Algebra 2 emphasizes problem solving skills and advanced algebraic reasoning. Topics of study include a review of basic algebra skills, slope and linear functions/inequalities, absolute value and piecewise functions, systems of linear equations/inequalities, linear programming, matrix algebra, quadratic functions, polynomials and their roots, radical expressions and equations, operations, compositions, and inverses of functions, exponential functions, logarithms, rational expressions and equations, conic sections, sequences and series, probability and statistics, and elementary trigonometry in the plane.

## honors algebra ii & trigonometry

Honors Algebra 2 & Trigonometry
Course Level: Honors
Course #0339

Honors Algebra 2/trigonometry emphasizes problem solving skills and advanced algebraic reasoning, as well as a firm foundation in trigonometry. Topics of study include slope and linear functions/inequalities, absolute value and piecewise functions, systems of linear equations/inequalities, linear programming, matrix algebra, quadratic functions, polynomials and their roots, radical expressions and equations, operations, compositions, and inverses of functions, exponential functions, logarithms, rational expressions and equations, conic sections, sequences and series, probability and statistics, and elementary trigonometry in the plane. Students in this course will also review the law of sines and law of cosines, graph trigonometric functions, and solve trigonometric equations.

## financial algebra - cp

Financial Algebra (CP)
Course Level: College Prep
Course #0340

This algebra-based and technology-oriented course incorporates concepts from Algebra 1, Geometry, and Algebra 2 into “real life" financial applications. It reviews and strengthens algebra and problem solving skills, while also introducing more advanced mathematics topics, such as piecewise functions, regression, and limits as they relate to financial decision making. Topics include investing, banking, credit, income taxes, and insurance. This is an excellent course for students considering a major in finance, accounting, or business, or for those interested in investing and financial management. The college prep level course will include a more extensive review of basic skills and algebraic concepts in a financial context.

## financial algebra - acp

Financial Algebra (ACP)
Course Level: Accelerated College Prep
Course #0345

This algebra-based and technology-oriented course incorporates concepts from Algebra 1, Geometry, and Algebra 2 into “real life" financial applications. It reviews and strengthens algebra and problem solving skills, while also introducing more advanced mathematics topics, such as piecewise functions, regression, and limits as they relate to financial decision making. Topics include investing, banking, credit, income taxes, and insurance. This is an excellent course for students considering a major in finance, accounting, or business, or for those interested in investing and financial management.

## honors financial algebra

Honors Financial Algebra|
Course Level: Honors
Course #0369

This course will cover topics from ACP Financial Algebra at an accelerated pace with increased emphasis on modeling, quantitative analysis, piecewise functions, regression and limits.

## pre-calculus - acp

Pre-Calculus (ACP)
Course Level: Accelerated College Prep
Course #0377

Accelerated College Prep Pre-Calculus emphasizes problem solving skills and advanced algebraic reasoning, all while integrating the major themes of the previous courses in preparation for calculus. Topics of study include a review of fundamental algebra skills, analysis of graphs and functions, the difference quotient, average rate of changes, transformations of functions, operations and inverses of functions, quadratic and polynomial functions, rational functions, exponential and logarithmic functions, trigonometric functions, analytic trigonometry, polar coordinates, systems of equations, partial fractions, conic sections, sequences and series, and probability.

## honors pre-calculus

Honors Pre-Calculus
Course Level: Honors
Course #0349

Honors Pre-Calculus emphasizes problem solving skills and advanced algebraic reasoning, all while integrating the major themes of the previous courses in preparation for calculus. Topics of study include a review of fundamental algebra skills, analysis of graphs and functions, the difference quotient, average rate of changes, transformations of functions, operations and inverses of functions, quadratic and polynomial functions, rational functions, exponential and logarithmic functions, trigonometric functions, analytic trigonometry, polar coordinates, vectors, systems of equations, partial fractions, conic sections, sequences and series, and probability. Additionally, students in this course will cover the foundations of limits and the derivative in preparation for calculus.

## concepts of calculus - acp

Concepts of Calculus (ACP)
Course Level: Accelerated College Prep
Course #0367

This introductory calculus course is designed for students interested in careers in business, the biological sciences, and the social sciences. This course will focus on elementary functions, limits, derivatives, and integrals, all with attention to appropriate applications.

## honors applied calculus

Honors Applied Calculus
Course LevelHonors
Course #0353

Honors Applied Calculus will provide the student with a survey of the typical three-semester college calculus sequence. Topics of study include limits, differentiation, integration, the geometry of space, vector-valued functions, partial differentiation, multiple integration, and vector calculus. All aspects of this course provide appropriate applications to physics, geometry, graphing, business, and economics. Qualified students (“A-" average or better) who desire it may challenge the Advanced Placement Exam for Calculus AB in May.

## ap calculus - ab

AP Calculus AB
*Dual Enrollment Course

Course #0350

Advanced Placement Calculus AB is the first part of a two-year, intensive study of calculus. Topics include limits, differentiation, integration, and separable differential equations. All aspects of this course provide appropriate applications to physics, geometry, and graphing. College Board AP Test is MANDATORY for students enrolled in AP Calculus AB.

## ap calculus - bc

AP Calculus BC
*Dual Enrollment Course

Course #0351

Advanced Placement Calculus BC is the second part of a two-year, intensive study of calculus. Topics include integration techniques, logistic differential equations, infinite series analysis, Taylor series, polar and parametric calculus, vectors in the plane, and vector-valued functions. The fundamental ideas from AP Calculus AB will continually be reinforced. All aspects of this course provide appropriate applications to physics, geometry, and graphing. College Board AP Test is MANDATORY for students enrolled in AP Calculus BC.

## honors statistics

Honors Statistics
Course Level: Honors
Course #0359

This course is a rigorous, college-level study of the most widely used field within applied mathematics. Topics of study include data collection and representation, measures of central tendency and variability, probability, distributions, sampling distributions, hypothesis testing with one and two samples, chi-square distributions, and analysis of bivariate data. Qualified students (“A-" average or better) who desire it may challenge the Advanced Placement Exam for Statistics in May.

## ap statistics

AP Statistics
Course #0360

This course is a rigorous, college-level study of the most widely used field within applied mathematics. Topics of study include data collection and representation, measures of central tendency and variability, probability, distributions, sampling distributions, hypothesis testing with one and two samples, chi-square distributions, and analysis of bivariate data. College Board AP Test is MANDATORY for students enrolled in AP Statistics.

## introduction to discrete mathematics

Introduction to Discrete Mathematics