# Academics

Mathematics Department

## Chair:

## Faculty:

Bro. Chris Cahill

Mr. Kevin Huxel

Mr. David Kathman

Mr. Brian Neal

Ms. Apryl Pope

## Courses:

*Honors Algebra/Geometry*This rigorous course integrates a review of elementary algebra with the concepts of geometry for students who have a strong background in algebra. 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. There will be a strong emphasis on the skills of logic exercised through formal proofs of coordinate geometry. 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 protractor, compass, graphing calculator, and other computer programs that demonstrate the components of algebra and geometry. (Graphing calculator recommended).

**CP Algebra I**This course is intended 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 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 recommended).

**Algebra I Part I**This is the first part of a two year fundamental algebra course that develops 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**This course completes the objectives of basic algebraic principles for sophomores who took Algebra I Part I. 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**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 it relates to linear relations, quadratic and exponential equations, logarithms, and matrices. (Graphing calculator required).

**CP Algebra II**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 calculator required).

**Algebra 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.

**CP Geometry**Students will study Geometry as a mathematical system through the deductive development of relationships in the plane and 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**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.

**Advanced Algebra II and Trigonometry**This course is a combination of a complete Algebra II course plus a complete course in Trigonometry. This course prepares advanced students to work with more advanced mathematics and complete their understanding of algebra. Algebra II topics include polynomial, rational, and radical expressions; linear, quadratic, exponential, and logarithmic functions and graphs; algebraic principles related to sequences, series, and algebraic proof. Trigonometry topics include trigonometric functions and graphs, trig identities, trig formulas, and trig expressions. Mastery of these topics prepares students for Calculus.

**Pre-Calculus**The course examines advanced mathematics and data analysis to include the following: analysis of linear, quadratic, polynomial, and trigonometric functions as well as probability, statistics, and mathematical modeling. An emphasis is placed on using graphical analysis and curve fitting for conic sections. An introduction to limits, derivatives, and other calculus applications will enable students to move on to calculus at either the high school or college level. (Graphing calculator required).

**CP Trigonometry**This one-semester elective course investigates concepts in trigonometry for students interested in engineering or other mathematical related fields of study. Concepts covered include properties of trigonometric functions and their inverses, formulas, identities and relationships among trigonometric functions, through analyzing and solving equations algebraically, geometrically, and graphically. This course is for students in grades 11 and 12 in the Honors or College Preparatory Program. (Graphing calculator required).

**CP Probability & Statistics**This one-semester class 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. This course is for students in grades 11 and 12 in the Honors or College Preparatory Program. (Graphing calculator required).

**AP® Calculus A/B**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 A/B test. (Graphing calculator required).

**AP® Calculus B/C**Calculus B/C is a course in single-variable calculus that includes all the topics of Calculus A/B (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. At the conclusion of this course, students will be encouraged to take the AP® Calculus B/C test. (Graphing calculator required).