Academics
Departments

Mathematics

PROBLEM SOLVE

The MHS Mathematics program prepares students for success in college-level math. Students develop the tools to solve a multitude of real-world issues and gain access to a technology-driven world.

Going beyond the basics of mathematics, we encourage and empower students to be independent and confident learners.
 

Math Department Courses

List of 14 items.

  • Algebra I

    Algebra involves the representation and manipulation of
    mathematical information using variables. One theme of
    Algebra I is the development of tools needed to work with a
    wide variety of mathematical expressions. To this end, we
    explore sets, number line concepts, order of operations,
    percents, ratios, radicals, properties of exponents, polynomial
    and rational expressions, and factoring. A second theme is the
    introduction of basic tools for solving equations and
    inequalities. Central to this task is the study of the addition and
    multiplication properties of equality. Finally, students must
    develop the wisdom to differentiate between simplifying
    expressions and solving equations. A thorough study of lines
    helps to illustrate the interconnections among themes. Algebra
    I is a prerequisite for further study in mathematics.
    Grade Level: 9-10
    (1 credit; full year)
  • Advanced Algebra I

    In this course, students begin the year reviewing and exploring
    sets, number line concepts, order of operations, proportions,
    properties of exponents, polynomial and rational expressions,
    and factoring. They study the basic skills involved in solving
    linear equations and inequalities and then move on to more
    complex equations such as quadratic, rational, and radical
    equations. Throughout the year, students use their skills to
    model and solve real world problems with the goal of
    developing strong critical thinking skills. Students will also
    explore the relationship between the algebraic and the
    graphical representations of functions.
    Grade Level: 9-10
    (1 credit; full year)
  • Geometry

    There are several ideas that intertwine in geometry: the study
    of properties of geometric figures (such as lines, triangles,
    quadrilaterals, and circles); classical constructions using
    compass and straight edge; study of right triangle
    trigonometry; the development of area and volume concepts;
    and the exploration of the beautiful interaction between
    geometry and algebra.
    Grade Level: 9-10
    (1 credit; full year)
  • Geometry Honors

    There are several ideas that intertwine in geometry: the study
    of properties of geometric figures (such as lines, triangles,
    quadrilaterals, and circles); the maturation of deductive logical
    skills; the development of area and volume concepts; and the
    exploration of the beautiful interaction between geometry and
    algebra. The Honors section more deeply explores the rigors of
    mathematical proof. Geometer's Sketchpad is used to give
    students extensive hands-on experience with mathematical
    concepts and to encourage experimentation.
    Placement in this course requires the support of the
    Department.
    Grade Level: 9-10
    (1 credit; full year)
  • Algebra II

    Developing the concepts introduced in Algebra I, Algebra II
    emphasizes techniques for solving a much wider variety of
    equations, inequalities, and systems. Many types of functions
    are studied, including quadratic, higher order polynomial,
    radical, absolute value, exponential, and logarithmic. A central
    theme is the relationship between the algebraic and the
    graphical representations of functions; the graphing calculator
    is used extensively in exploring this interplay.
    Grade Level: 9-11
    (1 credit; full year)
  • Algebra II - Honors

    Developing the concepts introduced in Algebra I, Algebra II
    Honors emphasizes techniques for solving a much wider
    variety of equations, inequalities, and systems. Many types of
    functions are studied, including quadratic, higher order
    polynomial, radical, absolute value, exponential, and
    logarithmic. A central theme is the relationship between the
    algebraic and the graphical representations of functions; the
    graphing calculator is used extensively in exploring this
    interplay.
    Placement in this course requires the support of the
    Department.
    Grade Level: 9-11
    (1 credit; full year)
  • Precalculus

    This course continues to develop the set of skills needed for
    success in calculus. Students become fluent in the language of
    functions, and many applications of functions are explored. A
    large component of the course focuses on trigonometry and the
    interconnections of the unit circle and right triangle
    viewpoints.
    Prerequisite: Completion of Algebra II and the support of the
    Department.
    Grade Level: 9-12
    (1 credit; full year)
  • Precalculus - Honors

    This course continues to develop the set of skills needed for
    success in calculus. Students become fluent in the language of
    functions, and many applications of functions are explored. A
    large component of the course focuses on trigonometry and the
    interconnections of the unit circle and right triangle
    viewpoints. The Honors section encourages more creative,
    critical, and in-depth study of these topics.
    Prerequisite: Completion of Algebra II Honors and the support
    of the Department.
    Grade Level: 9-12
    (1 credit; full year)
  • Differential Calculus

    This year-long course has two goals and is designed for those
    students who have finished precalculus but are not ready to
    move on to AP Calculus AB. The first goal is a thorough
    review of the more advanced topics associated with the
    student’s work in precalculus. Once this has been completed,
    the course will move into a detailed study of limits, continuity,
    and derivatives.
    Prerequisite: Completion of Precalculus including
    trigonometry.
    Grade Level: 10-12
    (1 credit; full year)
  • Topics in Modern Mathematics

    This one-semester course is an elective for students who have
    completed Algebra I, Geometry, and Algebra II. Students
    explore life experiences as varied as the spirals in a sunflower
    head (Fibonacci numbers), the probability of winning the
    lottery, election theory, management science, and the Four-
    Color Theorem. In the process, students develop skills in
    applying complex algorithms to solve real-world problems.
    Topics in Modern Mathematics is an excellent skill-building
    and confidence-enhancing course.
    Grade Level: 11-12
    (1/2 credit; first semester)
  • Introduction to Statistics

    This one-semester course is an elective for students who have
    completed Algebra I, Geometry, and Algebra II. Students
    study techniques for collecting, organizing, analyzing, and
    interpreting data in the context of real-world applications.
    Introduction to Statistics is an opportunity for students to
    strengthen their critical thinking skills and to use technology in
    a collaborative setting.
    Grade Level: 11-12
    (1/2 credit; second semester)
  • AP Calculus AB

    This year-long course covers, at a minimum, the topics
    outlined by The College Board as necessary for students
    planning to take the AB Calculus exam in May. The ideas of
    limits, continuity, derivatives, and integrals are explored at a
    depth of understanding consistent with college-level study.
    Broad concepts and widely applicable methods are emphasized
    rather than memorization of particular problem types. The
    graphing calculator is used as an aid in understanding,
    estimating, and confirming results. Prerequisite: Successful
    completion of Precalculus Honors, including trigonometry.
    Placement in this course requires the support of the
    Department.
    Grade Level: 10-12
  • AP Calculus BC

    This year-long course seeks to build on the foundation
    developed in AB Calculus. Because all students enrolled in BC
    Calculus have completed AB Calculus, the topics covered in
    this course will, at a minimum, cover those topics presented in
    the BC course outline, but work will be extended to include the
    study of delta-epsilon proofs, advanced techniques of
    integration, extended work with polar functions and vector
    functions, and a detailed study of sequences and series.
    Prerequisite: AP Calculus AB
    Grade Level: 11-12
    (1 credit; full year)
  • Hallmark Project-Based Statistics

    This full-year Hallmark course is for students who have
    completed Algebra II and would like a challenge. Students
    study and experience descriptive statistics, experimental
    design, probability, and inferential statistics using real-world
    databases for observational studies and data collected from
    experiments. As students learn to plan and conduct statistical
    surveys and experiments, they will pursue projects within the
    community, surrounding area and online. Appropriate
    technology such as the TI-nspire calculator and statistical
    software will be used throughout the course.
    For the coming year, statistical projects will include designing
    statistical surveys using appropriate sampling techniques;
    collecting data within the community or surrounding area for a
    statistical survey; planning and conducting experiments
    connected to other courses, a Horizons site or other interests;
    and creating and testing a hypothesis for an observational
    study or experiment.
    Students are encouraged to construct, reflect on and describe
    their own statistical studies. They will occasionally work in
    pairs on projects and periodically report preliminary results
    and ongoing challenges, as well as discussing strategies and
    seeking feedback from their peers. Students are expected to
    complete a capstone end-of-year project and present to the
    class and/or the Miss Hall’s community.
    Placement in this course requires the support of the
    Department.
    Grade level: 11-12
    (1 credit; full year)

Meet the Faculty

List of 5 members.

  • Trish Shuart 

    Mathematics Department Chair
    Syracuse University - M.A.
    Cornell University - B.A.
    Read Bio
  • Fredi Hungate 

    Math Teacher and Academic Support Specialist
    Wells College - B.A.
  • Brittany  Kickery 

    Math Teacher
    Massachusetts College of Liberal Arts - MA
    Salve Regina University - BA
    Read Bio
  • Yaran Sun 

    Math Teacher
    Read Bio
  • Dawn  Whalley 

    Math Teacher
    Wesleyan University - MALS
    Central Connecticut State University - B.S.
    Read Bio
492 Holmes Road Pittsfield, MA 01201
Phone: (413) 443-6401

About us

Located in the Berkshires in western Massachusetts, Miss Hall's School is a private, college preparatory, boarding and day high school for girls in grades 9-12.
Copyright © 2018 Miss Hall’s School