Mathematics(860) 859-1900 vm X962Mathematics Department ChairCanisius College-B.S.Sacred Heart University-M.S.
(860) 859-1900 vm X164University of Hartford-B.F.A.
Taylor Mulvey(860) 859-1900 vm X181SUNY New Paltz-B.A.
(860) 859-1900 X144Dean of StudentsProvidence College-B.S.
This Mathematics course is presented at a supportive, success-oriented pace with a goal to improve the student’s confidence and skill level. It covers material from previous Mathematics courses and further refines rudimentary concepts in preparation for Algebra. Topics include working with mathematical operations, whole numbers, decimals, fractions, integers, geometry, ratio and proportion, percent, probability, data analysis, and graphing as well as basic algebraic equations and simplifying expressions. Discussions on real life applications will increase the student’s sense of the relevance of Algebra.
This course covers topics beginning with a review of concepts covered in Pre-Algebra and progressing to a comprehensive study of Algebra 1. Polynomials, factoring, algebraic fractions, functions, systems of linear equations, inequalities, rational and irrational numbers, and the quadratic formula are studied. Word problems and problem-solving strategies are emphasized throughout the course. Upon completion of this course, students will be prepared to progress to Geometry or Algebra 2.
This course is designed to give the student a solid background in Geometry. Algebra topics are integrated into this course to provide a solid foundation for future Mathematics courses. The major topics focused on are the study of two and three dimensional shapes. Through the use of theorems, definitions and postulates, the students will learn to use logical reasoning to craft or complete a deductive proof. A major goal of the course is to encourage the student to analyze and utilize diagrams appropriately. Another goal of this course is to strengthen the students’ study and organizational skills. Upon successful completion of the course, the student will demonstrate the use of inductive and deductive reasoning to draw conclusions from given information. Students are required to have a scientific calculator, not necessarily a graphing calculator. Prerequisite: Algebra I, equivalent preparation, or teacher recommendation.
The goal of the Algebra 2 course is to prepare students for future success in our ever-changing and technologically evolving society. We will investigate how, when, and where these skills can be utilized by using examples that promote critical thinking and in-depth analysis. It is not always the application of specific skills that will determine their future success, rather, it is their ability to use available resources to problem-solve and find creative answers. The emphasis in class will be on acquiring Algebra skills through inquiry learning, exploration, investigation, and collaborative learning. Lessons are student-centered and require the use of technology blended with traditional teaching styles. Students will learn to find solutions, master Algebra skills and explore problem-solving techniques. They will develop a solid work ethic, learn to be independent, and at the same time function as a group. This will be accomplished in a small and nurturing environment with the emphasis on each student’s individual needs. Students will be exposed to various learning methods and technology to learn in the classroom and carry that ability beyond. Prerequisite: Algebra I, equivalent preparation, or teacher recommendation.
The Pre-Calculus course focuses on the development of skills which will be necessary for students to meet the demands of an ever-changing twenty-first century. Emphasis is placed on the process of working cooperatively and developing a plan. Student engagement is a necessity as students will work collaboratively to experiment and share, write and present, problem-solve and predict. Topics include a review of previously learned materials and concepts; solving, writing and applying linear, quadratic, logarithmic and exponential functions; and study of Trigonometry, combinations, permutations and probabilities. After the use of a scientific calculator is taught to the class, it is used regularly as a tool to enrich the learning process. Additional emphasis is placed on the development of organizational skills, analysis, initiative and integrity. The course is designed to further expand the foundation it offers with the introduction of new concepts and applications, thus preparing students for further study of Mathematics.
Calculus is the study of Rates of Change. There are two main branches of calculus: Differential Calculus and Integral Calculus. We will be covering both branches within the scope of this class. Calculus is used in multiple fields including (but not limited to) business, sociology, physics, engineering fields, and meteorology. Students may sit for the AP Calculus AB test.
Advanced Placement Calculus AB
AP Calculus consists of a full academic year of work that is equivalent to the first semester of Calculus offered at colleges and universities. The focus of the course is to develop the student's understanding of Calculus topics and applications through a variety of methods that reaches different student learning styles, thereby preparing them for the AP Calculus AB exam. The variety of rich mathematical material in Calculus will be taught and/or demonstrated graphically, numerically, analytically and verbally. Topics will include limits, derivatives, approximations, integral and applications/models. Prerequisite: Pre-Calculus, equivalent preparation, or teacher recommendation.
College Algebra is designed to strengthen the techniques learned in Algebra and Geometry in order to provide a framework for applying them to more complex mathematical situations and prepare students to have a sufficient mathematical background for college level academics. The coursework will incorporate logic, real number systems, functions and their graphs, word problems, probabilities and statistics, individual finance, as well as many other topics relevant for college-ready students. The course will explore how to apply mathematical concepts to real-world situations in business, finance, physics, and economics.
This course reviews many of the basic skills and concepts of Algebra 1, then the focus shifts to the study of Algebra 2 during the first semester and Pre-Calculus during the second semester. Problem-solving is emphasized as students study, apply, solve and create functions including: linear, quadratic, logarithmic, exponential and rational. Concepts in Trigonometry, probabilities and sequences are emphasized. After the class has become proficient with the graphing calculator, it is used regularly as a tool to enhance the learning experience. Prerequisite: Algebra I, equivalent preparation, or teacher recommendation.
AP and Early College Experience Micro and Macro Economics
The Economics course is designed to help the student understand the U.S. economy and how it works. This is accomplished through explanation and application of economic principles in real life situations. With this approach, students are able to see how certain choices, actions and reactions affect them in their present and future roles as consumers, employers or employees, investors and citizens. Students will experience how they participate in the economy as individual decision makers, consumers and producers, and global citizens. Various methods and technologies will be used as they apply fundamental concepts to real life situations. Heavy reliance will be on using current economic data and statistics to formulate economic thinking and experience. Students will work collaboratively and independently as they cultivate their critical thinking skills and the work ethic needed to problem solve the many challenges presented in micro and macroeconomics. Through a rigorous and challenging curriculum, students will develop the skills necessary for the changing and uncertain future that awaits them. The skills needed for tomorrow’s leaders have not yet been developed. What will be needed for students in the future is the ability to adapt to the constantly changing technology and the ability to use all available resources to creatively find the solutions to future problems. The emphasis in this course will be on using all available resources both as an individual and as a group to acquire the skills and actions needed to find solutions and problem solve. Students will learn to be productive, cooperative, and resilient in their investigation of the complex world of Economics as it relates to the use and sharing of global resources and welfare.
This is a lab-based course in which the students are required to work independently through a series of topics and exercises. Students are given a program of assignments and due dates that they work individually to fulfill. Course grades are based on satisfactory completion of the lesson assignments that are to be completed at the computer during class hours as well as assigned homework. Topics covered in this course include: word processing, spreadsheets, utilizing research databases, and PowerPoint. Students will learn how to create, edit, format, save and print word-processed and spreadsheet documents. Students will also learn how to formulate and support their own opinion with research. The beginning of the course will be focused on preparing students to take the SAT through the use of Khan Academy. In addition, time will be spent working on each student’s individual Common Application for college admission. The course will culminate in a unit-integrating final presentation by each student that will require the use of all the skillsets and knowledge gained during the year.