Mathematics

Math Department

Name	Phone Ext.	Room
Alexa Rodsan (Dept. Chair)	264114	D114
Dr. Amie King	264117	D117
Blake Faulkner	264113	D113
Bradley Bivens	269104	J104
Christina Bogle	269113	J113
Heather Moore	264111	D111
Jacquelyn O'Brien	269105	J105
Matthew Smiley	264110	D110
Seth Brosius	269112	J112
Steven Callahan	264112	D112
Tommie Polite	269111	J111
Tonya Kauffman	264115	D115
Travis Wharton	264116	D116

Mathematics Courses

Algebra I

Prerequisites: None
Levels: CP, Honors

This first year of mathematics course covers the ideas of variables, equations, expressions, graphs, and solutions. Students use analysis and experiment to find the best strategies for games of chance as they develop concepts of theoretical and observed probability. There is a unit on data and statistics, including standard deviation, the normal distribution, and curve fitting. Similarity and right triangle trigonometry are covered in a unit that revolves around the geometry of light and shadows. This class explores a variety of topics, including number systems, discrete mathematics, logic, and proof through extended investigations, reports, and presentations.

Geometry

Prerequisites: Successful completion of Algebra I
Levels: CP, Honors

The fundamental purpose of Geometry is to formalize and extend students’ geometric experiences from the middle grades. This course includes standards for the conceptual categories of Geometry. Students will explore more complex geometric situations and deepen their explanations of geometric relationships by presenting and hearing formal mathematical arguments. This course will examine the fundamentals of geometry, trigonometry, coordinate geometry, circles, similarity and both 2- and 3-dimensional models.

Algebra II

Prerequisites: Successful completion of Algebra I
Levels: CP, Honors

This course is the next level in the Algebra landscape. We pick up where the first Algebra course left off and we look to dive deeper into the fundamental concepts that make up the Algebraic world and the foundation for mathematics. We will look at linear functions and systems, quadratic functions, polynomial and rational functions while also exploring logarithmic functions, trigonometric functions and explore an introduction into matrices and their operations.

Financial Algebra

Prerequisites: Successful completion of Algebra I, Geometry, and Algebra II
Levels: CP

The object of this is to prepare students for adulthood so that they can handle their finances with confidence and ultimately make wise financial decisions for themselves. Problems that students will work on throughout the course are application-based and use real-life scenarios in the areas of personal investing, banking, credit management, income taxes, insurance, and household budgeting.

Precalculus

Prerequisites: Successful completion of Algebra I, Geometry, and Algebra II
Levels: CP, Honors

This course has a more varied subject matter than a traditional Calculus-focused course, and includes topics such as circular functions, computer graphics, statistical sampling, and the Fundamental Theorem of Calculus. Units build on the strong knowledge base of students who have completed three years in the program. The student integrates concepts in linear projectile and circular motion, investigates families of functions, develops and utilizes the science of conducting polls, and extends as well as explores mathematical ideas.

Honors Calculus

Prerequisites: Successful completion of Algebra I, Algebra II, Geometry, and Precalculus
Level: Honors

This course is an advanced high-school calculus course. The goals of the course are to introduce calculus early, present it in an intuitive way and integrate the applications of calculus to business, life sciences, and social sciences. In this course, we will cover derivatives, applications of derivatives, logarithmic functions, the definite integral, differential equations, and infinite series. This course can serve as good preparation to the level and rigor of math courses held at the college level.

Statistics

Prerequisites: Successful completion of Algebra I, Algebra II, and Geometry
Levels: CP

This course is integrated to strengthen and broaden students' understanding of key mathematical concepts to prepare them for future endeavors. Through real-life applications and data analysis, students will develop their critical thinking and problem-solving skills. Students will learn about, practice, and apply the mathematical concepts of linear equation and inequalities, functions and their graphs, polynomial and rational functions, exponential and logarithmic functions, trigonometric functions, analytic trigonometric and statistics.

AP Mathematics Courses

AP Precalculus

Prerequisites: Successful completion of Algebra I, Algebra II, and Geometry
Levels: Advanced Placement

Advanced Placement AP Precalculus centers on functions modeling dynamic phenomena. This advanced level course will cover rates of change, polynomial and rational functions, exponential and logarithmic functions, working with trigonometric functions and polar functions. This course will prepare students for the AP Precalculus exam, AP or college-level calculus or other mathematics and science courses and career.

AP Calculus

Prerequisites: Successful completion of Algebra I, Algebra II, Geometry, and Precalculus
Levels: AB and BC
*Summer work required

This is a college-level course for advanced students. The course will cover differential and integral calculus topics including limits, applications of the derivative, areas under curves, volumes of revolution, logarithmic and exponential functions, advanced integration methods, infinite series, parametric equations, and polar coordinates. The goal of the course is to prepare students for a successful performance on the Advanced Placement exam in the spring to earn college credit.

AP Statistics

Prerequisites: Successful completion of Algebra I, Algebra II, and Geometry
Levels: Advanced Placement
*Summer work required

This course is designed to emphasize statistical thinking, present practical data analysis, and conceptual practice, and foster active, independent learning. The course takes advantage of the simulation and computation capabilities of the TI-83/89. Topics covered include descriptive statistics, histograms, ogives, transformations, normal and binomial distributions, probability
plots, hypothesis testing, inferential statistics, type I and II errors, and tests of association/independence. These are essential elements for the AP Statistics exam. This course may be taken after honors year 3.

MAT 152: Quantitative Reasoning

Delaware Technical Community College
Grades 11 - 12
Paired with MAT 162

Quantitative Reasoning serves students who are focused on developing quantitative literacy skills that will be meaningful for their professional, civic, and personal lives. Such reasoning is a habit of mind, seeking pattern and order when faced with unfamiliar contexts. In this course, an emphasis is placed on the need for data to make good decisions and an understanding of the dangers inherent in basing decisions on anecdotal evidence rather than data. Students will focus on number, ratio, and proportional reasoning; modeling; probability; statistics.

MAT 162: Statistical Reasoning

Delaware Technical Community College
Paired with MAT 152

Statistical Reasoning is a course grounded in conceptual understanding and the development of statistical literacy. Students will analyze and interpret data through problem solving, collecting samples, confidence intervals, and hypothesis testing. In this course, students will also use technology to analyze summary statistics and graphical displays of data. This is a first course in statistics, appropriate for any student whose college and career paths require knowledge of the fundamentals of the collection, analysis, and interpretation of data.

Independent work before lessons is required for both MAT 152 and MAT 162.