On April 13, Walker's students Chufan Cui '20, Joyce Qiu '20, Kitty Huang '20, Amy Xia '21, Grace Mugo '21 and Elizabeth Cao '22 represented Walker's Mathletes at the Math Majors of America Tournament for High Schools, held at Yale University.

# Mathematics

## Philosophy

At 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

M.A., Wesleyan University

### Julie Greshin

M.S., Duke University

### Daniele Ness

### Jennifer Wall

M.A., New York Institute of Technology

## Courses

## Middle School Courses

## Foundations of Mathematics

*Open to 6th grade*

## 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*

## Upper School Courses

- Algebra 1
- Honors Algebra 1
- Geometry
- Honors Geometry
- Algebra 2
- Honors Algebra 2
- Trigonometry
- Precalculus
- Honors Precalculus
- Honors Calculus
- Advanced Calculus 1
- Advanced Calculus 2
- Statistics
- Introduction to Computer Science
- Advanced Computer Science

## 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*

## Geometry

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

*Credit: 1*

## 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 -12Prerequisite: Algebra 2 or department approvalCredit: 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.

## News & Photos

In recognition of her distinguished performance in the classroom and for her contributions to the life of the School, Math Faculty and Middle School Director Lee-Ann Harris P'13 was awarded the Anastasia Payne Rooke '48 Chair in Science, Math, and Technology on October 27, 2018.

Congratulations to the following Middle School Dash-off finalists, who worked together in Leslie Goff's Coding classes to program a Dash robot to perform various tasks: