 Curriculum

# Math

Whether math is your passion or not, Chatham Hall’s mathematics program is for you. Our small classes and extra assistance help allay the math anxiety that some girls feel. And our results are exceptional. In a recent survey, nearly 92 percent of our graduates reported receiving a high level of encouragement in math, science, and technology. In addition, the average SAT math score for our alumnae completing our boarding school curriculum was 588, compared to 477 nationally for females and males combined.

NOTE: Students may double up in math by taking Algebra 1 and Geometry or Geometry and Algebra concurrently, with permission.
• ## Algebra I

Full year; 1 credit (a grade of C- or above in Algebra I is required to register for subsequent math courses)

Algebra 1 prepares students for more advanced courses while they develop algebraic fluency, learn the skills needed to solve equations, and perform manipulations with numbers, variables, equations, and inequalities. Students learn to use the properties of real numbers to simplify expressions or justify statements, to simplify and evaluate expressions involving variables, fractions, exponents, and radicals, and to work with integers, rational numbers, and irrational numbers. As they become familiar with expressions and mathematical statements, students move on to graphing and solving equations, inequalities, and systems of equations. They learn to determine whether a relation is a function and how to describe its domain and range, to use factoring, formulas, and other techniques to solve quadratic and other polynomial equations, and to apply the properties of radicals and exponents to solving equations.
• ## Algebra II

Full year; 1 credit (prerequisite: C- or above in Algebra I)

Begins with a thorough review of Algebra I. Throughout the year, functions and relations, determinants, polynomials, rational expressions, sequences and series, radicals, graphs of various functions, complex numbers, exponents, logarithms, permutations, combinations, probability, and quadratic relations are studied. Problem solving techniques using algebraic and graphic solutions are emphasized. Students are required to have a TI-84 Plus or TI-84 graphing calculator and bring it to class every day.
• ## AP Calculus AB

Full year; 1 credit (prerequisite: A- or above test average in Precalculus and recommendation of Precalculus teacher)

This course is crucial for those students interested in majoring in mathematics, science, or fields of study which rely heavily on mathematics. Calculus is the foundation for, and the language of, science and engineering. AB Calculus is an in-depth examination of the theory of limits, differentiation, and integration, and their applications. The students must be capable of original, innovative approaches to problems, and show consistent, flexible application of past concepts to present work. They will go beyond the simple application of the formulas to the ability to analyze a problem and apply the techniques needed to solve it. There are two major branches of calculus: differential and integral. Differential calculus focuses primarily on the concept of changing quantities and how these changes are related. Differential topics include motions, related rates, and optimization. Integral calculus focuses on using known rates of changes to determine quantities such as area, volume, and distance traveled.
• ## AP Calculus BC

Full year; 1 credit (prerequisite: Completion of Calculus or AP Calculus AB with recommendation of Calculus teacher)

This is an intensified second year study of functions of one and two variables. Students will pursue an in-depth examination of the theory of limits, differentiation, and integration, as well as their applications. The students must be capable of original, innovative approaches to problems, and show consistent, flexible application of past concepts to present work. They will go beyond the simple application of the formulas to the ability to analyze a problem and apply the techniques needed to solve it.
• ## AP Computer Science Principles

This course introduces students to the essential ideas of computer science and helps them to understand how computing and technology can influence the world around them.  As part of this course, students will be exposed to a broad range of computing tools and skills while creatively addressing real-world issues and concerns.
• ## AP Statistics

Full year; 1 credit (by application and permission of the Mathematics Department and the Academic Dean)

The purpose of the AP course in statistics is to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to four broad conceptual themes: 1) Exploring Data: Describing patterns and departures from patterns; 2) Sampling and Experimentation: Planning and conducting a study; 3) Anticipating Patterns: Exploring random phenomena using probability and simulation; 4) Statistical Inference: Estimating population parameters and testing hypotheses.
• ## Calculus

Full year; 1 credit (prerequisite: B or above in Precalculus and recommendation of Precalculus teacher)

This is a course that provides an overview of much of the content of the AP Calculus AB course, but not in the same depth. The Calculus content focuses primarily on the concepts of limit, the derivative, and the integral, the skills of evaluating limits and determining derivatives and integrals, with little theoretical justification, and the applications of differentiation and integration. Students taking this course are primarily seniors who completed Precalculus during their junior year and are not enrolled in AP Calculus.
• ## Geometry

Full year; 1 credit (prerequisite: C- or above in Algebra I)

This is a formal study of two-dimensional Euclidean concepts and techniques of coordinate geometry. Our course stresses inductive and deductive reasoning skills through the early introduction of and emphasis on proofs, the two-column proving method, and conditional statements. The following topics are studied: angle relationships, parallelism, congruency and similarity, triangles and their properties, quadrilaterals and other polygons, right triangles, and basic trigonometric rations, circles, area and volume, transformational geometry, and coordinate geometry. Students are expected to understand these basic concepts and to apply their knowledge to solve problems.
• ## Precalculus

Full year; 1 credit (prerequisite: B- or above in Algebra II)

This course introduces students to the importance of graphing to the study of Precalculus. Students are encouraged to use reasoning and communication skills to connect algebra and geometry topics to expand their understanding of functions and graphs. One common focus throughout the course is the idea of families of graphs and transformations. Students encounter a thorough study of linear, polynomial, inverse, rational, exponential, and logarithmic functions as well as a rigorous development of the circular function of trigonometry is studied. Toward the end of the year, the course focuses on discrete mathematics, limits, and an introduction to derivation and integration. Students are required to use a graphing calculator throughout the year. Emphasis is placed on using the calculator to check solutions and to make quick analyses of problems.
• ## Precalculus - Honors

Full year; 1 credit (prerequisite: A- or above test average in Algebra II and recommendation of teacher)

This is both an accelerated version of the Precalculus course and a more theory-based course. Graphing is fundamental to the study of Precalculus. Each chapter emphasizes the relationship of different types of functions and their graphs. Students are encouraged to use reasoning and communication skills to connect algebra and geometry topics to expand their understanding of functions and graphs. One common focus throughout the course is the idea of families of graphs and transformations. The concepts of maximum and minimum values are interspersed throughout the year and emphasized strongly when derivatives are taught. This course offers a thorough study of polynomial functions, graphs of basic algebraic functions and their transformations, and methods for solving equations and inequalities. Students also encounter a rigorous development of trigonometry as well as a strong focus on exponential and logarithmic functions, and an introduction to limits, derivatives, and integration. Students are required to use a graphing calculator throughout the year. Emphasis is placed on using the calculator to check solutions, draw graphs, make tables to analyze the behavior of a function, and to solve equations or determine which algebraic techniques are not appropriate.
• ## Statistics

Full year; 1 credit (prerequisite: for students who have completed Algebra II or Precalculus)

Explore these three important branches of applied mathematics. The statistics components of the course will introduce students to the basic concepts and tools of statistics, including measures of central tendency, probability distributions, correlation and regression, confidence intervals, and hypothesis testing. The mathematical modeling component will examine the uses of linear, quadratic, cubic, rational, radical, trigonometric, and logarithmic functions to solve real-world problems. Any student who has taken Precalculus may take the Statistics portion of the class as a stand-alone class. The course, in its entirety, may be taken by those for whom calculus is not the next, recommended class.

# Our Faculty

• Nathan Witkowski
• Lisa Collis
Math Teacher
434-432-2941
• Keely Criddle
• Dan Waters
Ext 263
An all girls boarding and day school in Southern Virginia, Chatham Hall prepares girls for college and for productive lives. Our innovative academic program offers Advanced Placement courses, global study and travel, as well as project based learning. Our athletic teams regularly compete at the State level and our exceptional riding program is nationally recognized. We foster the intellect and character of each student and, through our Honor Code, live in a community of trust. Grounded in its Episcopal heritage, the school welcomes students of all faiths and backgrounds.
800 Chatham Hall Circle | Chatham, VA 24531 | 434.432.2941 | admission@belmoloko.com