individuals, and lifelong learners are needed for an informed society. To this end, the Mathematics
Department expects students to acquire and to demonstrate necessary concepts of numerical,
algebraic, geometric and statistical skills. Instruction will help students develop and apply abstract
concepts, collaborate to problem solve, increase reasoning capabilities, access information, use
technology, and communicate confidently.
Course offerings provide for a variety of interests and ability levels. Students will be challenged to
explore real-world phenomena and encouraged to continue the development of mathematical thinking.
Math Course Offerings
***THE TI-84 GRAPHING CALCULATOR IS HIGHLY RECOMMENDED FOR USE IN EACH COURSE***
Algebra 1 - CCS aligned, Topics include: Patterns, Solving Equations and Inequalities, Multiple Representations of Functions, Linear Equations and Inequalities and Their Graphs, Systems of Equations, Exponents and Exponential Functions including Growth and Decay, and Quadratic Functions (See www.phschool.com for the textbook website with video tutors, practice quizzes and vocabulary help. Students cannot see actual pages in the text. Passcode ate-0775)
Geometry - CCS aligned, Topics include: Tools of Geometry, Reasoning and Proof, Parallel and Perpendicular Lines, Congruent Triangles, Relationships Within Triangles, Quadrilaterals, Similarity, Probability, Right Triangles and Trigonometry, Area, Factoring, Surface Area and Volume, and Circles (See www.phschool.com for the book website with video tutors, practice quizzes and vocabulary help. Students cannot see actual pages in the text. Passcode aue-0775)
Algebra 2 - This course is a continuation on the topics introduced in Algebra 1. New topics presented include Linear Systems & Matrices, Polynomials, Radicals, Rational, Exponential and Logarithmic Functions, Sequences and Series, Conic Sections and Circular Trigonometry.
Intermediate Algebra - Topics include: equations, inequalities, operations and equations with rationals and radicals, exponents, logarithms, sequences & series, and conic sections. Students do practice placement tests to strengthen their basic skills before taking a college placement exam. Students taking CPB Algebra 2 and expecting to apply to competitive colleges should take this course with teacher recommendation. Note: This course articulates with Naugatuck Valley Community College and is open to students who have earned an 80 or better in Algebra 1 and a 75 or better in Geometry and Algebra 2.
Pre-Calculus - This course will provide the essential mathematical background needed to take calculus in college. Theoretical work with linear, quadratic, polynomial, rational, exponential, logarithmic, and trigonometric functions will be extended beyond the scope of the college prep integrated math courses. Regular and frequent access to a graphing calculator for class activities as well as homework is required.
Honors Pre-Calculus BC – Topics include – analysis of polynomial, radical, rational, exponential, logarithmic and trigonometric functions, partial fractions, synthetic division, parametrics, polars, Law of Sines and Cosines, trigonometric identities, complex number system, conic sections, limits, continuity, lines tangent to any curve, differentiation – implicit and explicit and optimization applications of derivatives.
Calculus - This course introduces differential and integral calculus using polynomials, exponential, logarithmic, and trigonometric functions. Applications to real world problems involving business, economics, the behavioral sciences, the social sciences, biology, and medicine are stressed more than theory. Regular and frequent access to a graphing calculator for class activities as well as homework is required.
Math Applications - Topics include: Linear algebra, matrix algebra, election theory, financial mathematics, counting, probability, statistics, and logic. Through these subject areas we look at many different applications including supply and demand, linear programming, cryptography, interest, annuities, corporate bonds, lotteries, college costs, and product life expectancy.
Java - This course is designed to develop structured programming skills in JAVA. Learning to program offers the student an invaluable opportunity to develop problem solving skills. The process of defining a problem, breaking it down into a series of smaller problems and finally writing a computer program to solve it, is an exercise in learning to think logically. Topics will include: JAVA program structure, using variables, controlling program flow (loops), functions and arrays.
Statistics - The topics for this course are divided into four major themes: exploratory analysis of data, planning and data production, probability, statistical inference. Important components of the course include the use of a graphing calculator (TI-84) with a table option, projects & reports, cooperative group problem solving, and writing as a part of concept-oriented instruction and assessment. This course expects students to develop interdisciplinary connections with other subjects and with the world outside of school.
AP Calculus AB - This course is a rigorous and theoretical study of the Calculus. It follows the syllabus for the AB level of the Advanced Placement Program. Students in Honors Precalculus AB are invited to sign up for the course. It is expected that all members of the class take the Advanced Placement Examination in Calculus (AB level) in May. The problem solving and investigation components of this course are based upon the use of a graphing calculator with a table option. Regular and frequent access to a graphing calculator for class activities as well as homework is required. Important note: To be successful in these college level courses, excellent skills and a strong work ethic are essential. Students are required to pay for the appropriate Advanced Placement Examination in May.
AP Calculus BC - This course will begin the year with a quick review of limits, continuity and differentiation rules. Other topics will include slope fields, Euler’s Method, Newton’s Method, Riemann sums, trapezoidal approximations and the Fundamental Theorems of Calculus. Next the definite integral as an accumulator will be studied, area between curves, volume of solids with known cross sections and solids of revolution, L’Hopital’s Rule, and more integration techniques. Sequences and convergence versus divergence will be followed by Taylor and Maclaurin Series, Lagrange remainder, separable differential equations, area in polar form and parametric equation form. Following the AP exam in early May, the course will focus on applications like work, center of gravity and surface area.
AP Statistics - This course follows the Advanced Placement syllabus accepted by the College Board and introduces students to the major concepts and tools for collecting, analyzing and drawing conclusions from data. Students are exposed to four broad conceptual themes: Exploring Data: Describing patterns and departures from data, Sampling/Experimentation: Planning and conducting a study, Anticipating Patterns: Exploring random phenomena using probability and simulation, Statistical Inference: Estimating population parameters and testing hypotheses
Summer Math Packets
It is recommended that students entering Algebra I for the upcoming school year should complete the following summer packet. The packet is recommended, not required.
It is recommended that students entering CPA or CPB Geometry for the upcoming school year should complete the following summer packet. The packet is recommended, not required.
It is recommended that students entering Honors Geometry for the upcoming school year should complete the following summer packet. The packet is recommended, not required.
It is recommended that students entering Algebra II for the upcoming school year should complete the following summer packet. The packet is recommended, not required.
It is recommended that students entering Pre-Calculus for the upcoming school year should complete the following summer packet. The packet is recommended, not required.
Contact Mrs. Hyman for any summer work for AP Calculus AB.
Contact Mrs. Closs for any summer work for AP Statistics.
None of the other classes offered by the math department have recommended or required summer work.
Where to Turn
Where to turn for help in Mathematics...
“Proper Preparation PREVENTS Poor Performance” Need help? ASK!
1. Your Teacher: Your teacher is always your first contact…
Most teachers are available before and after school for extra help. Ask your teacher at the end of class or send them an email to schedule a time to meet.
2. At Home: If you have trouble at home with homework or a project…
Often, doing a simple You Tube search for the topic you are struggling with will bring up several helpful videos. You can also check Khan Academy for lessons on the topics you are currently studying in class.
3. During the day: If you have trouble during a free period…
Go to the Math and Science Center (B139) and ask for help! Ask your teacher for a pass to go during study hall or go during a free period. *You can be scheduled in the Math Center instead of your study hall.
4. Peer Tutors: Tutors are available through your counselor or the math department…
Sometimes having another student to talk to about homework or studying is helpful. *A list of private tutors is also available through the guidance department.
5. Call/Text/Tweet/Snapchat/Instagram with a Classmate: However it is you communicate these days...reach out to a friend! There are times when just talking to someone else can help you get started on your homework…