Mathematics

Faculty

Chad Shepherd, Department Chair M.S. Northeastern Illinois University cshepherd@pontiac90.org
Beth Halloran B.S. Western Illinois University ehalloran@pontiac90.org
Brittany Janz B.S. Iowa Wesleyan University bjanz@pontiac90.org
Katy Kaluzny B.S. Illinois State University kkaluzny@pontiac90.org
Jake Krause M.S. Olivet Nazarene University jkrause@pontiac90.org
Dana Knapp B.S. Illinois State University ddoroba@pontiac90.org

Mathematics Links: Students, Teachers, Parents

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Course Descriptions

ALGEBRA I-BLOCK (320, 321)
Class Level: 9,10, 11, 12 Credit: 2 Prerequisite: None
This course considers understanding and interpreting linear and exponential functions and describing their relationship to arithmetic and geometric sequences, solving linear equations and inequalities and systems of linear equations and inequalities in the context of real-world applications, rigid motion transformations to prove congruence of figures, and using their understanding of transformations on figures to develop an understanding of transformations of linear and exponential functions in various representations.  A 4-function or fraction calculator is recommended.
ALGEBRA I (330, 331)
Class Level: 9, 10, 11, 12 Credit: 1 Prerequisite: None
This course considers understanding and interpreting linear and exponential functions and describing their relationship to arithmetic and geometric sequences, solving linear equations and inequalities and systems of linear equations and inequalities in the context of real-world applications, rigid motion transformations to prove congruence of figures, and using their understanding of transformations on figures to develop an understanding of transformations of linear and exponential functions in various representations.  A 4-function or fraction calculator is recommended.
ALGEBRA II (338, 339)
Class Level: 10, 11, 12 Credit: 1 Prerequisite: Algebra
This course is designed for the student who needs a refresher course in Algebra I, improving his or her skills, so success can be met in Algebra II/Trig. It covers a variety of topics including review of Algebra I, and geometry, quadratic equations, matrices, statistics, and an introduction to trigonometry. A graphing calculator (TI-83 Plus or newer) is required.
ALGEBRA II/TRIG (340, 341)
Class Level: 10, 11, 12 Credit: 1 Prerequisite: Plane Geometry or Geometry
This course includes the study of rational, irrational, real, and complex numbers. Relations and functions are used as unifying concepts.  The course covers linear and quadratic equations, conic sections, systems of first and second degree open sentences, radicals, exponential and logarithmic functions. The study of trigonometry through consideration of the circular functions is introduced.
A graphing calculator (TI-83 Plus or newer) is required.
DISCRETE MATHEMATICS WITH TRIGONOMETRY AND STATISTICS (344, 345)
Class Level: 11, 12  Credit: 1  Prerequisite: Departmental Approval
This course is designed for students who have completed the Algebra 2 course.  The topics in this course will include and extend topics covered in Algebra 1, Plane Geometry, and Algebra 2.  Emphasis will be placed on concepts and processes of functions; graphing calculators are required in order to examine functions from a graphical perspective.  Conceptual understanding of functional relationships is the cornerstone of the course.  Trigonometry is reviewed, applied, and extended.  The course provides a comprehensive introduction to probability and statistics.  A graphing calculator (TI-83 Plus or newer) is required.
GEOMETRY (350, 351)
Class Level: 9, 10, 11, 12 Credit: 1 Prerequisite: Algebra
This course stresses the basic structure of geometry and the development of reasoning and proof capabilities. In addition to a foundation for geometry–triangles, other polygons, circles, concepts of space geometry, and relations among lines and planes–the course includes computation of areas and volumes, constructions, coordinate geometry, introduction to right triangle trigonometry, and an introduction to transformations.
A graphing calculator (TI-83 Plus or newer; TI-84 Plus recommended) is required.
PLANE GEOMETRY (360, 361)
Class Level: 10, 11, 12 Credit: 1 Prerequisite: Algebra I
This course is designed for those students who need a basic course in geometry with minimal emphasis on proof. It provides a simple, yet thorough, introduction to the fundamentals of Euclidean geometry.
Students may not receive credit for both Geometry and Plane Geometry.
A graphing calculator (TI-83 Plus or newer; TI-84 preferred) is recommended.
PRE-CALCULUS (370, 371)
Class Level: 11, 12 Credit: 1 Prerequisite: Algebra II/Trig
This course presents and develops all of the necessary topics in preparation for a Calculus course.  Geometry is integrated with algebraic concepts. Trigonometry, exponents, and logarithms are covered as a review of Algebra II/Trig. Vectors are studied in both two and three dimensions. Other topics included are complex numbers, sequences, and series with an introduction to limits, probability, statistics, matrices, polynomials, advanced topics in curve sketching with polar graphs, and an introduction to derivatives.
A graphing calculator (TI-83 Plus or newer) is required.
STATISTICS (AP) (380, 381)
Class Level: 11, 12 Credit: 1 Prerequisite: **See Below
This course is for students who wish to complete studies equivalent to an introductory, non-calculus-based, college course in statistics. The course will cover major concepts and tools for collecting, analyzing, and drawing conclusions from data. Four broad conceptual themes are addressed: exploring data using graphical and numerical techniques, planning a study and deciding what  to measure and how to measure it, producing models using probability theory and simulation, and statistical inference. Projects, group problem-solving, writing, and the use of technology will all be emphasized. Students will have studied all topics necessary to take the Advanced Placement Statistics exam administered by the College Board in May which may result in college credit. 
A graphing calculator (TI-83 Plus or newer) is required.
**Jr. Standing — Concurrent enrollment in Pre-calculus or Approval by Math Dept. Chair and Principal
**Sr. Standing — Pre-Calculus or A or B in Alg 2/Trig or Instructor Approval
CALCULUS (AP) (390, 391)
Class Level: 12 Credit: 1 Prerequisite: Pre-Calculus
This course explores and develops derivatives, integrals, and their applications. This includes transcendental functions, parametric equations, and polar equations. It covers both first and second semester college Calculus. Students will have studied all topics necessary to take the Advanced Placement Calculus (BC) exam administered by the College Board in May that may result in college credit.
A graphing calculator (TI-83 Plus or newer; TI -89 preferred) is required.