Browse Curriculum

Mathematics

The primary objective of the Millbrook mathematics program is to teach students to learn math and to recognize math as the active intellectual exercise that it is. We approach directly the questions, "How do you know what you know?" and "How can you be sure that you know it?" We are convinced that the only way to learn to make the many decisions that mathematical problem solving involves is by making those decisions repeatedly. As technology extends its reach, more and more college programs and professions will require mathematical skills beyond the fundamentals.

A valuable program in math must aim to develop equally the skills of understanding and imagination. The transition from the too often rote-learned arithmetic of elementary school to math as an active, creative quest can be difficult and unsettling, but it is liberating if well done.

To facilitate the above goals, each Millbrook student is required to own a Texas Instruments graphing calculator. This amazing tool allows students to explore mathematics in a way other than the traditional algebraic methods, and thus enables them to gain a deeper understanding of the relationships, which define mathematics.

Millbrook math teachers are bringing more leading-edge technology tools into the classroom in the form of computer tablets. These tablets allow math teachers in all classes to write notes and project them on the classroom board. These notes are also saved as PDF files and placed on the math department website, www.mathdotcom.org, for easy access by students.

Because not all Millbrook students enter with the same mathematical background or the same interest, goals, and developed quantitative abilities, we teach many of our courses on more than one level.
  • Algebra I

    Algebra 1 prepares each student for geometry by covering traditional algebraic concepts and developing organizational skills. We cover a wide range of topics including order of operations, linear equations (graphing and solving), quadratics, radicals, and factoring.
  • Algebra II

    Algebra II begins with an extensive review of Algebra I, then covers the usual Algebra II topics with a heavy emphasis on problem solving. 
  • Algebra II - Honors

    Algebra II Honors assumes a good command of the ideas of Algebra I; extends those ideas through such topics as sequences and series, functions, logs, binomial theorem, and probability; and ends with a strong treatment of trigonometric functions. Admission to Algebra II Honors is by invitation of the department.
  • AP Calculus AB

    There are Advanced Placement courses for students ready for college level work in mathematics. For those who complete AP Calculus AB in the Vth form with an AP exam grade of 3 or better, AP Calculus BC is offered.

    This advanced placement course will follow the rigorous AP curriculum, exploring in depth limits, derivatives, integrals and their applications. Students will build theorems from basic principles, and analyze the theory behind the mathematics. Students are expected to have a strong background in algebra, a solid understanding of pre-calculus concepts including trigonometry, and a desire to work with abstract ideas. All students are required to take the Advanced Placement exam in the spring. As with all advanced courses, admission to AP Calculus AB is by invitation of the department.
  • AP Calculus BC

    There are Advanced Placement courses for students ready for college level work in mathematics. For those who complete AP Calculus AB in the Vth form with an AP exam grade of 3 or better, AP Calculus BC is offered.

    This advanced placement course will follow the rigorous AP curriculum, expanding on limits, derivatives, integrals and their applications and also exploring sequences and series. Students will build theorems from basic principles, and analyze the theory behind the mathematics. Students are expected to have a strong background in algebra, a solid understanding of pre-calculus concepts including trigonometry, and a desire to work with abstract ideas. All students are required to take the Advanced Placement exam in the spring. As with all advanced courses, admission to AP Calculus BC is by invitation of the department.
  • AP Statistics

    This advanced placement course will follow the AP Statistics curriculum. This class will differ from non-AP Statistics in pace and will involve more rigorous applications of statistics. All students are required to take the Advanced Placement exam in the spring. As with all advanced courses, admission to AP Statistics is by invitation of the department.
  • Foundations of Programming

    In Foundations of Programming, students will learn to code using the Python programming language. By the end of the course, students should expect to be comfortable manipulating numbers and alphabetical characters with code, looping over lists to apply their own programmed logic to a collection, and requesting and storing input from the people who use their programs. In the second semester, students will learn to work with “modules” written by other programmers, incorporating pre-written functions into custom code to solve increasingly complex and unique challenges. Members of the class will use these code modules to visualize data sets that they create, interact with Google spreadsheets, retrieve information from websites, find up-to-date stock prices programmatically, search through tweets on Twitter for keywords, explore artificial intelligence concepts, and build simple 2-dimensional games.  Prerequisite – completion of Algebra II
  • Geometry

    This course, while it includes a modicum of proof, focuses primarily on intuitive geometry and problem solving.
  • Geometry - Honors

    This course includes intuitive geometry and problem solving, but puts its emphasis on logical structures and proof. Admission to Geometry Honors is by invitation of the department.
  • Intro to Calculus

    This course is offered to students who have completed precalculus but are not recommended for AP Calculus.  It is designed to cover calculus basics including limits, derivatives, and integrals working mainly with only polynomial and trig functions.  This course is not intended to prepare students for the AP Calculus exam, but it will serve as good preparation for college calculus.  Admission to this course is by invitation of the department.

     
  • Pre-Calculus

    The central matter of pre-calculus is the deepening and extending of the student’s understanding of functions and their graphs.  Students spend extensive time reviewing polynomial functions and mastering rational functions, logarithmic and exponential functions, and trigonometric functions.  The goal of our standard pre-calculus course is to extend topics learned in Algebra 2 in preparation for the future study of calculus. Admission to Pre-Calculus, both honors and standard, is by invitation of the department. 
  • Pre-Calculus - Honors

    The central matter of pre-calculus is the deepening and extending of the student’s understanding of functions and their graphs.  Students spend extensive time reviewing polynomial functions and mastering rational functions, logarithmic and exponential functions, and trigonometric functions. The goal of our honors sections is to prepare students for the rigorous pace of AP Calculus.  Admission to Pre-Calculus, both honors and standard, is by invitation of the department.
  • Statistics

    Statistics focuses on the gathering, organizing, and analyzing of data. Students will learn different ways of organizing and displaying data, probability, how to compare samples to populations as well as how to compare two samples to determine whether or not they are significantly different. Students will also learn how to read articles supported by statistical evidence with a critical eye. This is a course for students who wish to pursue math beyond the school’s minimum requirements. Prerequisite: completion of math courses through Algebra II. Students may choose to take this class in addition to another math class such as Pre-Calculus or Calculus.

Faculty

  • Photo of Martha Clizbe
    Martha Clizbe
    Math Department Chair
    845-677-8261 Ext.158
    Wesleyan University - M.A.L.S.
    Bowdoin College - A.B.
  • Photo of Devandria Bernard
    Devandria Bernard
    Senior Associate Director of Admission & Faculty Engagement, Math Instructor
    845-677-8261 Ext. 155
    University of Pennsylvania - M.S.Ed.
    Franklin & Marshall College - B.A.
  • Photo of Rachel D’Ascoli
    Rachel D’Ascoli
    Teacher
    845-677-8261
    Pace University; Columbia University Teachers College
    Somers High School
    Columbia Teachers' College - M.A.
    Pace University - B.S.
  • Photo of Todd Feitelson
    Todd Feitelson
    Math Instructor
    845-677-8261 Ext. 162
    University of New Hampshire - M.S.
    Hamilton College - B.A.
  • Photo of Cameron Fernandez
    Cam Fernandez '19
    Math Instructor
    Connecticut College - B.A.
  • Photo of Timothy Kernan
    Tim Kernan
    Math Instructor
    845-677-8261
    Columbia University - Ph.D.
    Johns Hopkins University - B.A.
  • Photo of Zachariah Tuke
    Zack Tuke '18
    Math Instructor
    Emory University - B.S.
  • Photo of Shayla Zezze
    Shayla Zezze
    Math Instructor
    845-677-3704
    Stonehill College - B.S.