Our students learn to tackle problems logically and to approach math in original and creative ways that will serve them far into the future.
Going Beyond Memorization
The Upper School math curriculum focuses on mathematical relationships and problem-solving strategies rather than simply arriving at a given answer. From Algebra I all the way through Multivariable Calculus, our students learn not only to approach problems logically, but also to think about math in original and creative ways. They learn increasingly complex material as they progress through the curriculum, using a variety of technologies for investigation, data gathering, mathematical modeling, conjecturing, and predicting. As students discover the many different ways to solve any given problem, they start to apply that insight in their other classes as well, widening their perspective and sharpening their thinking in the world beyond the classroom.
Accordion
This class continues the study of elementary algebra that was begun in Pre-Algebra and/or Algebra 1A. Topics include linear equations and inequalities and their graphical representations, systems of equations and inequalities, polynomials, rational expressions, radicals and quadratic equations. Emphasis is placed on using algebra to solve a variety of application problems and on working with graphical, numerical, algebraic, and written representations of mathematical relationships.
This course investigates Euclidean plane geometry. Special emphasis is placed on visualization of spatial relationships and on making and testing conjectures using computer-based visual programs. Students study formal proofs, the use of inductive and deductive reasoning, two and three-dimensional shapes and their properties, similarity, coordinate geometry, and right triangle trigonometry.
This course investigates Euclidean plane geometry at an advanced level. Special emphasis is placed on visualization of spatial relationships using computer-based visual programs and on geometry as an example of a deductive system. Formal proofs and logic are a major component.
The second in a two-year study of algebraic concepts, this course includes the real number system and the complex number system, a thorough study of functions (linear, quadratic, rational, radical, exponential, logarithmic) and systems of quadratic equations and inequalities.
The second in a two-year algebra sequence for honors students, this course includes the real number system and the complex number system, a thorough study of functions, conic sections, matrices, data analysis and related topics. Topics are addressed with greater abstraction in this class.
Precalculus represents the culmination of function explorations initiated in Algebra 1 and Algebra 2. Specifically designed to lay the groundwork for an introductory calculus class, this comprehensive course delves into a spectrum of mathematical concepts that encompasses polynomial, rational, exponential and logarithmic functions, as well as modeling and problem-solving techniques. The curriculum further extends to cover trigonometric and circular functions, their inverses, analytical trigonometry and may explore supplementary topics such as polar coordinates and parametric equations.
Designed for honors students preparing for the subsequent study of calculus, this course includes the in-depth study of polynomial, rational, logarithmic, and trigonometric functions, as well as analytic geometry, polar coordinates and parametric equations. Students should be prepared to tackle challenging problems beyond those in the textbook.
An introductory course aimed at developing understanding of the fundamentals in statistics. Students will assess credibility and value of inferences drawn from data. Students will explore the use of statistics in everyday life as well as in scientific research and experimental situations. Areas of study include numerical and descriptive statistics, basic sampling designs, inferential statistics and a glimpse into quality control.
This lab-oriented course exposes students to the exploration, summarization and display of data. Students will design surveys and experiments, use probability to make inferences about population by looking at samples. Though calculus based formulas and formal procedures will be presented, the focus will be on the development of statistical literacy and critical thinking through experiential activities.
This course introduces the study of calculus to motivated students of mathematics. The bulk of the course deals with differential calculus, transitioning into integral calculus by fourth quarter. While rigorous proof is covered, more emphasis is placed on problem solving and applications. Students will gain a solid foundation in the fundamental skills of calculus by year’s end.
In this course, students unify the branches of mathematics they have previously studied and use their knowledge to tackle more complex problems. This course focuses on limits, derivatives, and integrals and their applications.
This course covers all the content taught in AP Calculus AB, but adds significant challenges in the form of parametric, polar, and vector functions, as well as polynomial approximations and series.
This course is designed for students who have completed AP Calculus. Subjects covered include vector valued functions, functions of more than one variable, partial derivatives, and multiple integration.
Students will learn to be data explorers in this project-based course. Students will develop their understanding of data analysis, sampling, correlation/causation, bias and uncertainty, probability, modeling with data, making and evaluating data-based arguments, and the power of data in society.
Students will learn the ins and outs of the financial world in this project-based course. Students will develop their understanding of behavioral economics and consumerism, philanthropy, and ethics in finance, banking, and retirement.
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