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explore our CAMPUS

What's cool about our campus is that it's spread out over seven acres in Philadelphia's historic neighborhood of Germantown. The buildings are an eclectic mix of old and new, a unique look and feel more consistent with a college campus. With three gyms, three auditoriums, a student center, numerous open, green spaces and nine classroom buildings, it's a place worthy of adoration and exploration. The Meetinghouse, at the center of it all, provides a beautiful and spiritual focal point.

1. Main Building 2. Meetinghouse 3. Sharpless 4. Hargroves 5. Wade Science Center 6. Alumni Building 7. Admissions 8. Living Graveyard 9. Dead Graveyard 10. Loeb Performing Arts Center 11. Smith Gym 12. Cary Building 13. Friends Free Library 14. Field House 15. Scattergood Gym

we have deep roots in this place

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The Pillars of A

Quaker Education

At GFS, students and teachers gather in Meeting for Worship once each week. This is a time for shared, silent contemplation. Anyone who feels moved to speak may rise and do so. It is a simple formula, and can be a remarkably powerful experience.In these days of constant connectivity, the ability and opportunity to sit in silence have special value. Meeting for Worship is a cornerstone of the GFS culture that many come to cherish throughout their lives.

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speak the truth

We strive to deal fairly, equally and honestly with everyone. We aim to do as we say, reflecting our beliefs in our actions. even when it is inconvenient or challenging, we stand by our convictions, striving to lead lives of integrity.

Shine Together

We are all blessed with remarkable gifts. We are equally qualified to seek truth and to hear the voice of God. Every person deserves equal respect. For these reasons, we work against prejudice and discrimination and for equality.

stay connected

"Alone we can do little; together we can do so much."* We know there is strength in cooperation and wisdom to be found when many perspectives come together. We believe in the power of community.*
The words of Helen Keller.

keep it simple

In every way we can, we try to minimize the distractions that can draw our attention from the important things in life. This means not becoming overwhelmed by the busyness of daily routine. It means seeking balance. It means embracing simplicity.

care for all

This planet we inhabit, the talents we've been given, the community of which we are a part- all hold remarkable value. We must be responsible, imaginative and proactive in protecting these gifts and caring for the world and people around us. We must exercise good stewardship.

promote peace

We believe each life is precious and unique. We stand against war and violence and work to eliminate their root causes, including ignorance, racism, hatred and oppression. We are committed to creating peace.

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Mathematics

The math program strives to equip each student to think logically and analytically and to effectively communicate strategies for solving problems, both of a theoretical and practical nature. We seek to develop a student’s understanding of algebra and other mathematical concepts throughout the curriculum. Topics in each subject are explored through multiple representations and modalities. Scientific and graphing calculators as well as various software applications are used as instruments for exploration and deeper understanding. Our aim is to make the study of mathematics an exciting adventure that takes our students on an intellectual journey filled with practical and engaging experiences.

Placement in accelerated courses is based on student performance, teacher recommendation, and the approval of the department head. These courses move at a faster pace and explore topics in greater depth and breadth. Most students complete a college-level calculus course.

Courses

131 Intermediate Algebra
can fulfill required major for grade 9
This course reinforces and builds on algebraic skills and concepts introduced in Algebra I, including work with linear equations, linear systems and quadratic equations. Students will also explore polynomials, rational expressions, laws of exponents, simplifying radicals, factoring, graphing and applications. An emphasis is placed on skill development, problem solving and analytical thinking.

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142 Geometry
required major
prerequisite: Minimum grade of B– in Algebra I completion of Intermediate Algebra or departmental approval required

This course in Euclidean geometry includes the study of geometric figures, shapes, angles, parallel lines, similarity and congruence, area and volume, coordinate geometry, some analytic geometry, and some trigonometry. The deductive thought process is emphasized throughout this course and algebraic skills are reviewed and reinforced.

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143 Geometry Accelerated
can fulfill required major for grades 9 or 10
prerequisite: Accelerated Algebra I or Algebra I and Intermediate Algebra; departmental approval required

This course takes a strongly analytical approach to the study of Euclidean geometry and covers all topics presented in Geometry 142. The depth, breadth and application of concepts studied is more extensive than Geometry 142. Proofs are emphasized throughout the year to develop strong deductive reasoning. Algebra will be used frequently in the development and solving of problems.

152 Algebra II
can fulfill required major for grades 10 or 11
prerequisite: Geometry

This course develops clear, logical thinking as students investigate applications of mathematical concepts and develop their problem-solving abilities. Topics include linear and quadratic equations and inequalities, higher degree equations and functions, irrational and complex numbers, and exponential and logarithmic functions. The graphing calculator is used for graph exploration.

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153 Analysis of Functions
can fulfill required major for grade 10
prerequisite: minimum of B+ in Geometry Accelerated departmental approval required

This accelerated level course moves at a brisk pace while covering material in depth. Conventional Precalculus topics and advanced Algebra techniques are intertwined throughout this analysis of functions. Polynomial, radical, rational, exponential, logarithmic, and trigonometric functions are examined from algebraic and graphic perspectives. Work with solving equations is also a main focus and requires a strong algebraic foundation. Additional topics include matrices, conic sections and sequences and series.

161 Functions and Trigonometry
can fulfill required major for grades 11 or 12
prerequisite: Algebra II

Functions and Trigonometry can be an alternative to Precalculus. This course expands on topics from Algebra II and focuses on enhancing students’ skills in problem solving. Topics include exponential and logarithmic functions, polynomial and rational functions, trigonometric functions, and probability, sequences and series. This course is for students who have completed Algebra II and wish to strengthen and broaden their mathematical background before taking Statistics. Students planning on taking Calculus must take Precalculus.

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162 Precalculus
can fulfill required major for grades 11 or 12
prerequisite: Algebra II

This course consolidates Algebra and Geometry skills and emphasizes application and synthesis of those topics to prepare students for Calculus. Topics include solving algebraic equations and inequalities, function operations, polynomial, rational, exponential and logarithmic functions, trigonometric functions and applications and function analysis. Upon completion of this course and in consultation with the teacher, students in strong standing may take Calculus.

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163 Differential Calculus
can fulfill required major for grade 11
prerequisite: minimum grade of B in Analysis of Functions; departmental approval required

This is the first year of an accelerated two-year course sequence. Students taking this course are required to take Integral Calculus and Series the following year. This course will focus on Differential Calculus and will include several advanced precalculus topics. The students will take a rigorous approach to the mathematics in their study of techniques and applications. The topics covered include those studied in many first-semester college-level calculus curricula.

171 Statistics
major elective | grade: 12
prerequisite: Algebra II, Functions and Trigonometry or Precalculus

Statistics is the study of collecting, displaying, interpreting and effectively communicating the interpretation of data. Students will study uniand bi-variate numerical and categorical data, sampling and data collection, and experimental design. Probability will be used as a tool to understand what results from a sample or experiment truly say about the population of interest. Students will be introduced to the basic techniques of statistical inference for one and two sample tests for means and proportions, chisquare, and linear regression. Students will use the Ti-Nspire handheld exclusively for analysis in this course, which is designed to prepare them to be extremely successful in an introductory college statistics course.

172 Calculus
major elective | grades: 11, 12
prerequisite: Precalculus or Analysis of Functions; departmental approval required

This course is an exploration of limits, derivatives and integrals. The study of differentiation begins with the limit definition, continues with rules for differentiating a variety of functions, and moves into applications of the derivative including optimization and related rates. The study of integration covers indefinite and definite integrals, techniques including u-substitution, and moves into applications of the integral, including area and volume. The course spans the material covered in a college-level curriculum.

173 Integral Calculus and Series
major elective | grade: 12
prerequisite: minimum grade of B– in Differential Calculus; departmental approval required

This is the second year of the two-year accelerated calculus sequence. Since students will have a working knowledge of Differential Calculus upon entering the course, it begins with antiderivatives, the definition of the definite integral, and the Fundamental Theorem of Calculus. The year continues with a thorough exploration of techniques of integration and applications of the integral, including area, volume and arc length. The work with integration requires students to be comfortable with differentiation and a wide range of algebraic topics. In addition, the course covers modeling with differential equations, infinite series and power series. The topics covered include those studied in many second-semester college-level calculus curricula.

181 Advanced Statistics
major elective | grades: 11, 12
prerequisite: Analysis of Functions or any of the three Calculus courses; departmental approval required

The goal of this course is to help students develop the ability to think statistically and to make valid conclusions from the often complex and diverse situations that arise from analyzing a real-world problem using statistics. Students who successfully complete this course should be able to look at the world in statistical terms, and listen to or read statistical claims made by individuals and organizations and analyze them critically from an informed point of view. This course will cover all of the material typically found in an introductory course on inferential statistics with a greater emphasis on the theoretical underpinnings of those concepts. It will then move on to more advanced topics, including statistical programming with the R programming language, ANOVA, multiple regression, and nonparametric tests.

183 Topics in Advanced Mathematics
major elective | grade: 12
prerequisite: Integral Calculus; departmental approval required

Study in advanced mathematics is available to students who have completed our typical course offerings. Based on the number of qualified students, as well as their interests and background, course offerings and course formats may vary. Previous offerings have included Multivariable Calculus and Linear Algebra. Students have studied advanced topics in mathematics in courses offered by GFS faculty, by the Global Online Academy, or via the Directed Independent Study program utilizing an online course. Interested students should consult with the department head about available course offerings.

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