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Upper School Classes

Mathematics

The Dana Hall Mathematics Department cultivates mathematical thinkers who are prepared for the challenges they will face in a dynamic, changing world.
Students succeed best when they are appropriately challenged; thus we provide differentiated instruction. Collaboration, the utilization of technology, and investigative tasks are some of the tools used to encourage students to be resourceful, questioning, curious, independent, and confident mathematical thinkers. Students are presented with connections between mathematical topics, across other disciplines, and to the world around them. Perseverance, problem solving, and logical and creative thinking are encouraged while investigating patterns, data, geometric figures, graphs, numbers, functions, and applications. Dana Hall provides a rigorous program of study, but also ensures that every student has the support needed to succeed by providing the time, space, and resources to enhance their understanding.

Mathematics Classes

List of 15 items.

  • Algebra I

    This course covers traditional first-year algebra topics with applications in the context of real-world problems. Topics include properties of real numbers, exponents, linear equations and inequalities, linear systems, graphing, functions, factoring, polynomials, and solving quadratic equations.
  • Geometry

    This course covers traditional topics in geometry emphasizing discovery along with the development and application of algebraic skills. Topics include the Pythagorean Theorem, parallel lines, similar triangles, congruent triangles, an introduction to trigonometry, circles, area, and volume. The course contains work with formal geometric proofs, as well as a short unit reviewing topics that appear on the SAT, such as data analysis, counting principles, probability, and logical reasoning.
  • Geometry Honors

    This rigorous course focuses on the discovery and comprehension of traditional Euclidean geometry. The detailed structure of logic and mathematical argument is emphasized. The final trimester is devoted to an in-depth study of equations, linear functions, linear inequalities, systems of equations, and matrices in preparation for Algebra II Honors, as well as a short unit reviewing topics that appear on the SAT, such as data analysis, counting principles, probability, and logical reasoning.
  • Algebra II

    This course continues to develop the students’ algebraic skills and introduces elementary functions. Linear, absolute value, quadratic and polynomial, and rational, functions are explored both with and without the use of a graphing calculator. Additional topics include inverses, complex numbers, powers, radicals, inequalities, systems of equations, and SAT preparatory work.
  • Algebra II with Applications

    This course continues to develop the students’ algebraic skills and introduces elementary functions with attention to graphing, evaluating, simplifying, solving, and modeling. Linear, absolute value, piecewise, quadratic, polynomial, rational, radical, exponential, and logarithmic functions are explored both with and without the use of a graphing calculator. Other topics include inequalities, inverses, complex numbers, systems of equations, sequences, series, counting methods, and probability.
  • Algebra II Honors

    This course covers all of the topics of Algebra II, as well as a great deal of material from Precalculus. Topics such as quadratic, polynomial, rational, exponential, logarithmic, sequences and series, combinations, permutations, probability, and conics are studied in detail. These functions are explored with attention to graphing, evaluating, simplifying, solving, and modeling, both with and without the use of the calculator. This course incorporates the applications of mathematical topics and focuses on the comprehension of theoretical concepts.
  • Precalculus

    The majority of the curriculum in this course covers a detailed study of trigonometry. Students also explore circles on a coordinate plane, logarithmic and exponential functions. There is continued study of polynomial and rational functions. Other topics include a unit reviewing topics that appear on the SAT, such as data analysis, counting principles, probability, and logical reasoning.
  • Precalculus with Applications

    This course includes a detailed study of trigonometry. New topics, such as conic sections and matrices are introduced. There is continued study of sequences and series, combinations, permutations, probability, exponential, logarithmic, polynomial, and rational functions with and without the use of a graphing calculator. The application of these topics to real-world problems is emphasized and developed throughout the course.
  • Precalculus Honors

    During the first half of the year, this course completes the study of precalculus topics with an emphasis on trigonometry. During the second half of the year, it covers the differential calculus topics taught in AP Calculus AB. The goal is to prepare students to take AP Calculus BC the following year. Students use a graphing calculator.
  • Introduction to Calculus and Statistics

    This course will introduce students to the study of calculus, where it focuses on the fundamental concepts of differential calculus, including limits, derivatives, and derivative applications. Additionally, this course will introduce students to statistics, covering the mathematics of gathering and analyzing data and drawing inferences from data. Statistics topics include sampling techniques, the normal distribution, probability, linear correlation, confidence intervals, and hypothesis testing.
  • Calculus

    This course focuses on the fundamental concepts of differential calculus, including limits, derivatives, and derivative applications. It introduces the concept of integration with applications that includes finding the area under a curve and the area between two curves.
  • Advanced Placement (AP) Calculus AB

    This course covers the differential and integral calculus of real functions, including algebraic, trigonometric, and transcendental functions. Application problems include maxima/minima, velocity and acceleration, related rates, area, volumes of revolution, slope fields, and separable differentiable equations. Students are required to take the AP exam in May.
  • Advanced Placement (AP) Calculus BC

    In addition to the topics of AP Calculus AB, this course covers area using polar coordinates, lengths of curves, surface area, applications for physics, parametric equations, vectors, further methods of integration, infinite series, and first-order differential equations. Students are required to take the AP exam in May.
  • Advanced Placement (AP) Statistics

    This course covers the mathematics of gathering and analyzing data and drawing inferences from data. Topics include sampling techniques, the normal distribution, probability, linear correlation, confidence intervals, and hypothesis testing. Students use a graphing calculator. Students are required to take the AP exam in May.
  • Advanced Topics in Math (Honors)

    This honors-level course is intended for the student who wants to further her study of mathematics outside of Calculus. The list of topics taught in this course changes on a year-to-year basis and may include compass and straightedge constructions, proof techniques and strategies, complex variables, number theory, abstract algebra, probability and combinatorics, and linear algebra.

Upper School Classes

FACULTY

List of 9 members.

  • Photo of Alden Derr

    Alden Derr 

    Department Head
    781-489-1722
  • Photo of Matt Enlow

    Matt Enlow 

    US Math Teacher
    781-489-1724
  • Photo of Kieran Fitness

    Kieran Fitness 

    US Math Teacher
    781-489-1705
  • Photo of Bethany Kent

    Bethany Kent 

    US Math Teacher
    781-489-1723
  • Photo of Nicholas Lloyd

    Nicholas Lloyd 

    US Math Teacher/9th Grade Class Dean
    781-489-1726
  • Photo of Melissa Palmer

    Melissa Palmer 

    US Math Teacher
    781-489-1705
  • Photo of Julie Sheldon

    Julie Sheldon 

    US Math Teacher
    781-489-1725
  • Photo of Kathleen Shiffman

    Kathleen Shiffman 

    US Math Teacher
  • Photo of Kristin Walton

    Kristin Walton 

    5th Grade Math Teacher
    781-489-1721

List of 3 items.

  • Area Studies Symposium

    Favorite Assignment
  • Blue Key Club

    Favorite Activity
  • Middle Eastern Studies

    Favorite Class

List of 1 items.

  • Caroline

    "Middle Eastern Studies has been my favorite Dana Hall class because both the teacher and the discussions always kept me engaged and excited to learn more."
    -Caroline