Give Today

# Mathematics

View the list of Mathematics courses and the department faculty below. Click on a course to view the details.

Honors Algebra I
• Credit(s): 1
• Length:Year

This rigorous course explores four main topics in Algebra: solving one and two variable equations, using and interpreting linear functions, factoring , and quadratics, and exponentials and polynomials. Specifically, this course investigates the topics of linear and quadratic functions and their graphs, factoring and solving polynomial equations, solving systems of equations, as well as inductive and deductive reasoning. Real-world applications that can be modeled by linear and quadratic functions will be covered. In-depth word problems will be addressed that require students to demonstrate an understanding of the concepts covered. Students will explore algebraic functions and concepts through the use of graphing calculators and other graphing software.

(Graphing calculator required)

CP Algebra I
• Credit(s): 1
• Length:Year

This is a college preparatory course for freshmen with the aim of developing a well prepared, confident problem solvers. Starting with the basic algebraic the premise of solving for “unknowns,” students will also explore rational and irrational numbers, functions, linear equations as well as patterns and sequences. All Algebra I students will be introduced to and required to manipulate monomial and polynomial expressions, including quadratic equations and functions. Students will engage in in-depth problem solving, aimed at developing critical thinking skills needed to succeed in the 21st century. Students will explore algebraic functions and concepts through the use of graphing calculators and other graphing software.

(Graphing calculator required)

Algebra I, Part I
• Credit(s): 1
• Length:Year

This is the first part of a two-year fundamental algebra course designed for incoming freshmen who benefit from small class sizes offering individualized instruction. This class works to develop a strong foundation of mathematical skills by reviewing many of the concepts of 8th grade math. The course will cover basic computational skills, fundamental mathematical skills, rational numbers, the solving and graphing of linear equations, proportional reasoning and applying algebraic properties. The class is designed to challenge students with a modified course while providing individual and collaborative support to allow students to be successful. Students will be given extensive support as they work to write equations and solve basic real-world problems.

Algebra I, Part II
• Credit(s): 1
• Length:Year

This course completes the objectives of basic algebraic principles for sophomore students. This class will continue to provide individualized support while challenging students to make connections from previous concepts to the new topics of inequalities, solving systems of equations, operations of polynomials, factoring, solving and graphing quadratic equations, and radical expressions. After completion, the students will have a comprehensive background of Algebra I.

Honors Algebra II
• Credit(s): 1
• Length:Year
• Pre-requisites: Algebra I, Part II , Teacher recommendation

Honors Algebra II continues and broadens the exploration of Algebra I. Incorporating the latest in graphic calculator technology and using high-level problem solving techniques, students will explore rational, irrational and complex numbers. Specifically, this course will develop an understanding of functions as they relate to linear relations, quadratic and exponential equations, logarithms, and matrices.

(Graphing calculator required)

CP Algebra II
• Credit(s): 1
• Length:Year
• Pre-requisites: Algebra I, Part II

CP Algebra II continues and broadens the exploration of Algebra I. Incorporating the latest in graphic calculator technology and using problem solving techniques, students will explore rational, irrational, and complex numbers. Specifically, this course will develop an understanding of functions as they relate to linear relations, quadratic and exponential equations, logarithms, and matrices.

(Graphing calculator required)

Algebra II
• Credit(s): 1
• Length:Year
• Pre-requisites: Algebra I, Part II

Algebra II continues and broadens the exploration of Algebra I. Incorporating the latest in graphic calculator technology and using problem-solving techniques, students will explore rational, irrational, and complex numbers. Specifically, this course will develop an understanding of functions as it relates to linear relations, quadratic and exponential equations, and logarithms.

A graphing calculator is recommended.

Honors Geometry
• Credit(s): 1
• Length:Year

Students will study geometry as a mathematical system through the deductive development of relationships in the plane and in space. Topics covered in this course include congruence and similarity of polygons, properties of parallel and perpendicular lines, angle measures, transformations, geometric constructions, circles, and volume and area. Logic is a driving force behind all that is studied in this course as students learn to explore various concepts through geometric proof. The resources used to accomplish the objectives of the course includes protractor, compass, graphing calculator, and other computer programs that demonstrate the components of geometry.

(Graphing calculator required)

CP Geometry
• Credit(s): 1
• Length:Year
• Pre-requisites: Algebra I, Part II

Students will study geometry as a mathematical system through the deductive development of relationships in the plane and in space. Topics covered in this course include congruence and similarity of polygons, properties of parallel and perpendicular lines, angle measures, transformations, geometric constructions, circles, and volume and area. Logic is a driving force behind all that is studied in this course as students learn to explore various concepts through geometric proof.

Geometry
• Credit(s): 1
• Length:Year
• Pre-requisites: Algebra I, Part II

Students will use geometry with algebra to find distances, angle measures, areas, and volumes. They will use theorems and postulates for parallel and perpendicular lines as they apply to polygons and circles. Students will also problem solve using the Pythagorean Theorem and basic right triangle trigonometry.

Honors Pre-Calculus
• Credit(s): 1
• Length:Year
• Pre-requisites: Algebra II, Geometry , Teacher recommendation
CP Pre-calculus
• Credit(s): 1
• Length:Year
• Pre-requisites: Algebra II, Geometry

The course examines advanced mathematical concepts graphically, numerically, algebraically and geometrically. Topics covered include early and transcendental functions, analytic geometry and plane figures, alternate coordinate systems, probability and counting, statistical reasoning, and an introduction to limits, continuity, and beginning Calculus concepts.

(Graphing calculator required)

AP® Statistics
• Credit(s): 1
• Length:Year
• Pre-requisites: Algebra II, CP Pre-calculus , Teacher recommendation

The AP® Statistics course is equivalent to a one-semester, introductory, non-calculus-based college course in statistics. The course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. There are four themes in the AP® Statistics course: exploring data, sampling, and experimentation, anticipating patterns, and statistical inference. Students use technology, investigations, problem solving, and writing as they build conceptual understanding.

(Graphing calculator required)

CP Probability and Statistics
• Credit(s): 1
• Length:Year
• Pre-requisites: Algebra II, Geometry

This course is aimed at those students interested in pursuing a career in business. Beginning with an introduction of simple and compound probability, this course will explore and expand the students’ understanding of statistical data and analysis. Students will analyze strategies and, using probability concepts, will interpret, manipulate and create relevant statistical data in the exploration of means and standard deviations. Students will use calculators, spreadsheets and tables to estimate areas under the normal distribution curve and apply these techniques within a business model.

(Graphing calculator required)

AP® Calculus AB
• Credit(s): 1
• Length:Year
• Pre-requisites: Teacher recommendation

This course investigates topics in differential and integral calculus, including limits and continuity, differential calculus, and definite and indefinite integration. Emphasis will be placed on transcendental functions and techniques of integration. Students will also study the concepts of calculus analytically, numerically, graphically, and conceptually. Technology will be integrated into the course through the use of graphing calculators and dynamic graphing programs. Connections and applications to various disciplines, especially physics and economics, are investigated at length.

A graphing calculator is required.

AP® Calculus BC
• Credit(s): 1
• Length:Year
• Pre-requisites: Teacher recommendation

AP® Calculus BC is a course in single-variable calculus that includes all the topics of Calculus AB (techniques and applications of the derivative, techniques, and applications of the definite integral, and the Fundamental Theorem of Calculus) plus additional topics in differential and integral calculus (including parametric, polar, and vector functions) and series. It is equivalent to at least a year of calculus at most colleges and universities. Algebraic, numerical, and graphical representations are emphasized throughout the course.

A graphing calculator is required.

AP® Computer Science A
• Credit(s): 1
• Length:Year
• Pre-requisites: Algebra II , Open to grades 11-12 , Teacher recommendation

This course is designed to prepare students for the Computer Science A AP® Test administered by the College Board in May each year. The host language for the class is Java. It is open to juniors and seniors who have completed Algebra II, have demonstrated math and writing skills adequate for the course, and have the teacher’s recommendation.

Introduction to Computer Programming
• Credit(s): .5
• Length:Semester

This course is an introduction to basic concepts of structured programming. The programming language used in this course is C++. The class is open to all students.

## Department faculty

Mr. Brian Neal, '90

Br. Chris Cahill OFM

Science Department 513.641.1300 12224

Mr. David Kathman, '90

Mathematics Department 513.641.1300 13528

Ms. Sarah Bergmann

Mathematics Department 513.641.1300

Mr. Eric Neuhaus

Mathematics Department

Mr. Michael Wiegand

Mathematics Department 513.641.1300 16943