Mathematics Department

Chair:

Mr. Brian Neal

Faculty:

Bro. Chris Cahill
 
Ms. Susan Harris
Mr. David Kathman
Ms. Jenna Maksymiak
Mr. Michael Wiegand
Mr. Fred Widmeyer

Courses:


Honors Algebra 1

1 Credit      Year      Pre-requisite: 8th grade TR and Placement Test

This rigorous course explores four main topics in Algebra: solving one and two variable equations, using and interpreting linear functions, factoring and quadratics, and finally, 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. The resources used to accomplish the objectives of the course include graphing calculator and other computer programs that demonstrate the components of algebra. (Graphing Calculator required.)


CP Algebra I

1 Credit      Year

This is a college preparatory course for freshmen with the aim of developing well prepared, confident problem solvers. Starting with the basic algebraic 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 polynomials expressions, including quadratic equations and functions. Students will engage in indepth 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

1 Credit      Year

This is the first part of a two year fundamental algebra course designed for incoming freshman 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

1 Credit      Year      Pre-requisite: Algebra I, Part I

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

1 Credit      Year      Pre-requisite: Algebra I and TR

This course is aimed at Honors sophomores. 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 it relates to linear relations, quadratic and exponential equations, logarithms, and matrices. (Graphing calculators required).


CP Algebra II

1 Credit      Year      Pre-requisite: Algebra I

This course is aimed at college preparatory sophomores or juniors. Algebra II continues and broadens the exploration of Algebra I. 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 calculators required).


Algebra II

1 Credit      Year      Pre-requisite: Algebra I

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. (Graphing calculator recommended).


Honors Geometry

1 Credit      Year      Pre-requisite: Algebra I and TR

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 In Sanctitate et Doctrina  In Holiness and Learning 32 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 include protractor, compass, graphing calculator, and other computer programs that demonstrate the components of geometry. (Graphing Calculator required.)


CP Geometry

1 Credit      Year      Pre-requisite: Algebra I

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

1 Credit      Year      Pre-requisite: Algebra I

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

1 Credit      Year      Pre-requisites: Algebra II,

Geometry, and TR This Pre-Calculus course is designed to prepare students for AP® Calculus, AP® Statistics or college level math courses. The course examines advanced mathematical concepts graphically, numerically, algebraically and geometrically. Topics covered in detail 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)


CP Pre-calculus

1 Credit      Year      Pre-requisite: Algebra II and Geometry

This Pre-Calculus course is designed to prepare students for CP Statistics & Probability or college level math courses. 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

1 Credit      Year      Pre-requisite: Algebra II or Pre-Calculus, and TR

The AP® Statistics course is equivalent to a one-semester, introductory, non-calculusbased 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.


CP Statistics & Probability

1 Credit      Year      Pre-requisite: Algebra II and Geometry

This course for Honors and College Preparatory juniors and seniors 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

1 Credit     Year      Pre-requisite: Pre-Calculus or Honors Algebra II and TR

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. At the conclusion of this course, students will be encouraged to take the AP® Calculus AB test. (Graphing calculator required).


AP® Calculus BC

1 Credit      Year      Pre-requisite: AP® Calculus AB and TR

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 In Sanctitate et Doctrina  In Holiness and Learning 34 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. At the conclusion of this course, students will be encouraged to take the AP® Calculus BC test. (Graphing calculator required).