Math Department

Mathematics

Philosophy

Math at Walker'sAt Walker’s, mathematics instruction is guided by a desire to instill critical thinking and the integration of technology into classroom instruction.

Our math faculty provide experiences that encourage and enable students to value mathematics, develop confidence in their mathematical ability, use mathematics to solve problems, and be able to reason and communicate mathematically.

Instruction is problem-based and focuses on the practice of new skills and concrete applications. Mathematical rigor is introduced at all levels, commensurate with the course level. Our lower level courses are taught with a great deal of structure, providing a solid foundation for abstract thinking, integration, and synthesis needed in the more advanced selections. We offer regular and honors sections for every grade level; 98% of our students take a 4-year mathematics program.

The traditional subjects of algebra, geometry and trigonometry provide the theoretical background for students intending to further their education. For those students who plan to pursue careers in mathematics, science, and engineering, the pre-calculus and calculus courses are preparation for higher level mathematics courses.

Various teaching techniques are employed to address multiple learning styles in order to help each student find and develop her unique abilities and strengths in math. At the core of our mission is to encourage our young women to find their own “unique voice” in our mathematics classrooms as students are encouraged to lead discussions, ask clarifying questions, and contribute alternative methods of problem solving to their classmates.

Faculty

Darrell Carrington

Darrell Carrington

Chair, Math Department and Math Teacher
B.A., Washington College
M.A., Wesleyan University
Julie Greshin

Julie Greshin

Middle School Math/Science Teacher
B.S., Tufts University
M.S., Duke University
Lee-Ann Harris

Lee-Ann Harris

Math Faculty
B.A., Trinity College
M.Ed, University of Hartford
Daniele Ness

Daniele Ness

Math Teacher and Robotics Program Director
B.S., The University of Texas
Karl Schwoerke

Karl Schwoerke

Math Teacher
B.A., Hartwick College
Jennifer Wall

Jennifer Wall

Math Teacher
B.A., The College of New Jersey
M.A., New York Institute of Technology

Courses

Middle School Courses

Foundations of Mathematics

Open to 6th grade

Students will explore practical as well as theoretical mathematics. Basic math and computational skills, problem solving, patterns, estimating and mental math are emphasized. Topics include decimals, integers, fractions, exponents, ratios, rates, proportions, percents, measurement, graphing in the coordinate plane and an introduction to variables, equations, inequalities and geometry.

Pre-Algebra

Open to grades 6-7

This course is for students who have completed Foundations of Mathematics or an equivalent course. Topics include further exploration of decimals, factors, fractions, integers, exponents, ratios, proportions, and percents, as well as algebraic expressions and integers, linear equations, and solving equations and inequalities.

Algebra 1

Open to Grades 8-9

Students entering this class are expected to have studied positive and negative numbers, the basic properties of numbers, and simple equations. The course covers all topics of elementary algebra, including verbal problems, factoring, graphing of linear equations, radicals, solving linear and quadratic equations, and linear systems.

Honors Algebra 1

Credit: 1 (if taken in 9th grade)
Open to Grades 7-9

This course is for students who have a strong background in arithmetic facts and skills and in elementary algebra, including positive and negative numbers, the basic properties of numbers, and simple equations. They must have demonstrated a good aptitude for mathematical reasoning. The course covers all topics of elementary algebra, including verbal problems, factoring, algebraic fractions, graphing of linear functions, radicals, solving linear and quadratic equations, systems of equations, variations, and the quadratic formula.

Upper School Courses

Algebra 1

Open to Grades 8-9

Students entering this class are expected to have studied positive and negative numbers, the basic properties of numbers, and simple equations. The course covers all topics of elementary algebra, including verbal problems, factoring, graphing of linear equations, radicals, solving linear and quadratic equations, and linear systems.

Honors Algebra 1

Credit: 1 (if taken in 9th grade)
Open to Grades 7-9

This course is for students who have a strong background in arithmetic facts and skills and in elementary algebra, including positive and negative numbers, the basic properties of numbers, and simple equations. They must have demonstrated a good aptitude for mathematical reasoning. The course covers all topics of elementary algebra, including verbal problems, factoring, algebraic fractions, graphing of linear functions, radicals, solving linear and quadratic equations, systems of equations, variations, and the quadratic formula.

Geometry

Open to Grades 9-10
Prerequisite: Algebra 1
Credit: 1

This course is for students who had had a full year of elementary algebra. Plane geometry relationships are developed as part of a logical system, and the student learns to write short proofs based on these relations. Algebraic and numerical applications are provided, and units on right triangle trigonometry, three-dimensional figures, and coordinate geometry are included.

Honors Geometry

Open to Grades 9-10
Prerequisite: Honors Algebra 1 or department approval
Credit: 1

This course is for students who have a strong mathematical background, good insight, and solid problem-solving skills. Plane geometry relationships will be explored in depth with algebraic and numerical applications provided. Units on congruence, similarity, polygons, right triangles, trigonometry, circles, plane and solid figures, and coordinate geometry will be included.

Algebra 2

Open to Grades 9-11
Prerequisite: Algebra 1 and Geometry
Credit: 1

This course is for students who have had a full year of elementary algebra. The year consists of a review and extension of Algebra 1 topics including inequalities, linear equations, operations with polynomials, and application of algebraic skills through verbal problems. Additional topics include functions, complex numbers, and quadratics graphs.

Honors Algebra 2

Open to Grades 8-11
Prerequisite: Honors Algebra 1 and Honors Geometry or department approval
Credit: 1

This course is for students who have a strong background in elementary algebra, including systems of equations, radicals, and quadratics. They must have demonstrated a good aptitude for mathematical reasoning. This course begins with an extension of Algebra 1 topics and continues with the study of complex numbers, quadratic functions, rational and polynomial functions, exponents, radicals and logarithms.

Trigonometry

Open to Grades 9 -12
Prerequisite: Algebra 2 or department approval
Credit: 1

This course consists of a review of advanced algebraic topics as well as an exploration of basic trigonometry. The algebraic topics include quadratic functions and their applications, composite and inverse functions, exponents, radicals and logarithms. The study of trigonometry consists of right triangle and general triangle relationships and applications, the unit circle, and sine and cosine graphs.

Precalculus

Open to Grades 9-12
Prerequisite: Algebra 2 and Trigonometry
Credit: 1

This course is for students who have a strong background in advanced algebraic topics. Students must make the challenging transition from a focus on algebraic skill building and processes to that of their application and conceptual analysis. In order to make connections and to contribute to class discussions and discoveries, students are expected to be quite proficient with a graphing calculator and to extract information from the textbook effectively. Topics reviewed and studied consist of various functions (including compositions, inverse, polynomial, rational, exponential and logarithmic) and trigonometry.

Honors Precalculus

Open to Grades 9-12
Prerequisite: Honors Algebra 2
Credit: 1

This course is for students who have a strong background in advanced algebraic topics and have demonstrated a good aptitude for mathematical reasoning and intellectual curiosity. Students must make the challenging transition from a focus on algebraic skill building and processes to that of their application and conceptual analysis. Precise arithmetic and algebraic skills are essential to ensure accurate data for proper analysis, and to attain a strong level of command and understanding of the concepts studied. In order to make connections and to contribute to class discussions and discoveries, students are expected to be quite proficient with a graphing calculator and to extract information from the textbook effectively. Topics reviewed and studied consist of several types of functions (including compositions, inverse, polynomial, rational, exponential, logarithmic and circular) and an introduction to limits.

Honors Calculus

Open to Grades 9-12
Prerequisite: Precalculus or Honors Precalculus
Credit: 1

This course is a survey of topics in Calculus from limits and continuity to basic differentiation and basic integration. It is an opportunity for students to integrate ideas from algebra and geometry, and to do analytical applications of trigonometry, rational functions, compositions and logarithmic functions. It is a course geared toward deeper understanding of the material but without the focus being on preparing for the standardized testing.

Advanced Calculus 1

Open to Grades 9-12
Prerequisite: Precalculus or Honors Precalculus
Credit: 1

The methods and techniques of differential and integral calculus are developed and applied to algebraic, trigonometric, logarithmic and exponential functions. Students are required to use a graphing calculator. This course is for the young mathematician looking to be challenged.

Advanced Calculus 2

Open to Grades 9-12
Prerequisite: Completion of Advanced Calculus I; approval of department
Credit: 1

This course will build on the skills and topics introduced in Advanced Calculus I and introduce students to topics including but not limited to: various techniques of integration, sequences and series, polar and parametric functions. This class would serve those students who have completed Advanced Calculus I prior to their senior year. Students are expected to be able to apply and understand the theory behind advanced mathematical topics.

Statistics

Open to Grades 11-12, and sophomores with approval of instructor
Credit: 1
Prerequisite: Algebra 2 and department approval

Topics will include: probability & statistics, sampling, data analysis, combinations/permutations, notation. This class is best suited for students who are looking for a fourth year of math that would provide them with real world and applicable math skills.

Introduction to Computer Science

Open to students who have completed Algebra 2
Credit: .5

This course focuses and engages the entire discipline of computer science. We will demystify computer hardware and how it works, use computer software, and explore design and implementation. Students will problem-solve, develop software, and come to understand how computers, people and society interoperate. Our goal is to build quantitative reasoning skills and a basis for future survival and exploration in our advancing world.

Advanced Computer Science

Open to Grades 11-12, and sophomores with approval of instructor
Credit: 1

Advanced Computer Science aims to introduce students to a broad array of concepts in computer science. Students will use the Javascript programming language to explore complex problem solving, algorithm design and implementation and writing their own program. Topics include number systems, internet, data visualization and various programming concepts such as variables, loops, arrays, object, formal logic and processing.

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