 St. Thomas More School
 Mathematics

Mathematics
(860) 8591900 vm X962Mathematics Department ChairCanisius CollegeB.S.Sacred Heart UniversityM.S.(860) 8591900 vm X164University of HartfordB.F.A.(860) 8591900 X144Dean of StudentsProvidence CollegeB.S.
Wesleyan UniversityM.A.L.S.(860) 8591900 vm 933Fairfield UniversityB.S.Connecicut CollegeM.A.T.
PreAlgebra
This Mathematics course is presented at a supportive, successoriented 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.
Algebra 1
This course covers topics beginning with a review of concepts covered in PreAlgebra 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 problemsolving strategies are emphasized throughout the course. Upon completion of this course, students will be prepared to progress to Geometry or Algebra 2.
Geometry
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.
Algebra 2
The goal of the Algebra 2 course is to prepare students for future success in our everchanging and technologically evolving society. We will investigate how, when, and where these skills can be utilized by using examples that promote critical thinking and indepth 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 problemsolve and find creative answers. The emphasis in class will be on acquiring Algebra skills through inquiry learning, exploration, investigation, and collaborative learning. Lessons are studentcentered and require the use of technology blended with traditional teaching styles. Students will learn to find solutions, master Algebra skills and explore problemsolving 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.
PreCalculus
The PreCalculus course focuses on the development of skills which will be necessary for students to meet the demands of an everchanging twentyfirst 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, problemsolve 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
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: PreCalculus, equivalent preparation, or teacher recommendation.
College Algebra
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 collegeready students. The course will explore how to apply mathematical concepts to realworld situations in business, finance, physics, and economics.
Postgraduate Math
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 PreCalculus during the second semester. Problemsolving 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.