Departments

Mathematics Department Mission

The Mathematics program prepares each girl for success in college-level math and provides access to a technology-driven world.
Video by Alexa Green '09.

Math Department Courses

List of 15 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 functions, sets, number line concepts, order of operations, percents, ratios, radicals, properties of exponents, scientific notation, 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 Advanced Algebra I students begin the year reviewing and exploring functions, sets, number line concepts, order of operations, proportions, properties of exponents, scientific notation, 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); the maturation of inductive and deductive logical skills; 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 inductive and 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 Geometry Honors requires permission from 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. The course is designed for students who need individual attention and dedicated time to reinforce and strengthen their algebraic skills. Many types of functions are studied, including quadratic, higher order polynomial, rational, radical, absolute value, exponential, logarithmic, and periodic. A central theme is the relationship between numerical, 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)
  • Advanced 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, rational, radical, absolute value, exponential, logarithmic, and periodic. A central theme is the relationship between numerical, algebraic, and the graphical representations of functions; the graphing calculator is used extensively in exploring this interplay.
    Grade Levels: 9-11
    (1 credit; full year)
  • Algebra II - Honors

    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, rational, 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. The Honors section encourages more creative, critical, and in-depth study of these topics. 
    Grade Level: 9-12 (1 credit; full year)
    Placement in Algebra II Honors requires permission from the Department.
  • Precalculus

    Precalculus 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. Completion of Algebra II and permission from the Mathematics Department are prerequisites for enrollment.
    Grade Level: 9-12
    (1 credit; full year)
  • Precalculus - Honors

    Precalculus 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. Completion of Algebra II and permission from the Mathematics Department are prerequisites for enrollment.
    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. While working toward these two goals throughout the year, students should expect to reach mastery commensurate with any differential calculus course, and students will be prepared to move into the study of integral calculus in subsequent courses.
    Grade Level: 10-12
    (1 credit; full year)
  • Calculus AB - Advanced Placement

    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. Placement in AB Calculus requires successful completion of Honors Precalculus and permission from the Department.
    Grade Level: 10-12
    (1 credit; full year)
  • Calculus BC - Advanced Placement

    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. As time and interest permit, additional topics will be incorporated as the course develops each year. 
    Prerequisite: AP Calculus AB
    Gr. 11-12
    (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 and wish to continue the study of mathematics with an alternative course to Precalculus. 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 and wish to continue the study of mathematics with an alternative course to Precalculus. 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.
    Gr. 11-12
    (1/2 credit; second semester)
  • Statistics - Advanced Placement

    Advanced Placement Statistics is an elective, yearlong course for students who have completed Algebra II and who wish to continue the study of mathematics with a rigorous alternative to Precalculus or AP Calculus. Students study descriptive statistics, experimental design, probability, and inferential statistics. This course is very contextual in nature and also quite rigorous mathematically. The TI-Nspire CX CAS calculator is used extensively. Department recommendation required and, for ESL students, successful completion of our ESL requirements is necessary.
    Gr. 11-12
    (1 credit; full year)
All students at Miss Hall's School are expected to own a TI-nspire CX CAS calculator. Appropriate use of this calculator will be part of all math classes. Students should expect their command of this technology to expand during each of their years studying math at MHS.

Mathematics Core Values

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  (413) 443-6401

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