# Mathematics Course Offerings

- algebra i - cp
- algebra i - acp
- honors algebra i
- geometry - cp
- geometry - ACP
- honors geometry
- algebra ii - cp
- algebra ii - acp
- honors algebra ii & trigonometry
- financial algebra - acp
- honors financial algebra
- pre-calculus - acp
- honors pre-calculus
- concepts of calculus - acp
- honors applied calculus
- ap calculus - ab
- ap calculus - bc
- ap statistics
- introduction to discrete mathematics

## algebra i - cp

**Algebra 1 (CP)**

**Grade 9**

**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)**

**Grade 9**

**Course Level**: **Accelerated 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**

**Grade 9
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)**

**Grade 10**

**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 - ACP

**Geometry for**** Freshmen**

**Grade 9 & 10
Course Level: Accelerated College Prep**

**Course #0326 & #0327**

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**

**Grades 9 & 10**

**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)**

**Grade 10 & 11**

**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 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**

**Grade 9, 10, & 11**

**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 - acp

**Financial Algebra (ACP)**

**Grade 12**

**Course Level:** **Accelerated 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.

## honors financial algebra

## pre-calculus - acp

**Pre-Calculus (ACP)**

**Grade 10, 11, & 12**

**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**

**Grade 10, 11, 12**

**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)**

**Grade 11 & 12**

**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**

**Grade 11 & 12**

**Course Level**: **Honors**

**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**

**Grade 11 & 12**

**Course Level:** **Advanced Placement
*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**

**Grade 12**

**Course Level:** **Advanced Placement
*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.

## ap statistics

**AP Statistics**

**Grades 11 & 12**

**Course Level: ****Advanced Placement**

**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**

**Grade 12**

**Course Level:** **College Prep**

**Course #0365**

This course will provide students with background in several mathematical disciplines essential to functioning in the real world. Topics of study will include critical thinking, sets, logic, numeration in various cultures, number theory, concepts in algebra and geometry, the metric system, probability and statistics, vertex-edge graphs, and the math of the election process