Upper School Mathematics

The Mathematics Department offers a sequence of courses by which students can gain an understanding of the style and content of mathematics, become adept in its fundamental skills, develop an understanding of the analytic power of mathematics through problem solving, and begin to explore the subject for the beauty of its abstractions and the variety of its applications. Confidence building and minimization of fears are conscious goals. While technology is used in many situations, students are also asked to do work by hand to ensure a deep understanding; our emphasis is usually on “why,” instead of simply “how.”

Our aim is to develop creative, fresh, innovative, deep-thinking—not rote doing. Lessons center around multidimensional, open, visual, contextualized, and compelling tasks that encourage student exploration, creativity, questioning, pondering, and discussion. We believe mistakes are valuable, that everyone can learn math to the highest levels, and provide regular feedback to inform learning and emphasize individual growth.

Requirements

Three years of math courses—30 credits—are required for graduation but students are encouraged to take Calculus before graduating. Most students also explore other branches of mathematics through the range of one-term electives that are offered. A student may elect to do an independent study in an area of particular interest where a course is not offered.

Honors

Honors placements by Departmental recommendation only.

Math FAQs

Why Integrated Math?

Rather than solely focusing on one element of math (i.e., algebra, geometry, etc.) in a given year, elements of all the math disciplines are integrated at each grade level. This also means we are able to incorporate data science into the curriculum.

Integrated Math courses can be defined by themes and applications, putting focus on context and critical thinking.

Integrating our courses provides even more opportunities for:

  • Authentic learning and assessment
  • Students to see themselves in the curriculum
  • Students do the “sense-making” and develop as creators of mathematics
  • Students to use authentic mathematics to analyze sociopolitical, cultural, and global issues.

What this looks like in practice:

How does math placement work?

Ninth-graders are assessed throughout their first 12-week term of math where they are provided with choices for tasks at varying levels of complexity. Teachers gather evidence and conference with students regularly to determine the most appropriate level of math for each student. Separate honors-level sections are offered beginning with the second term in 9th grade. 

How do you support the unique needs of every student?

The Beaver Upper School schedule builds in time for students to work with teachers individually or in small groups during and outside of class. Teachers provide extra support and enrichment during all parts of the day. 

Upper School Math Courses

Foundations for Algebraic Reasoning

9th
Mathematics
Interests: Business, Engineering, Health

This course is designed for students who have not completed Algebra 1 through quadratics in middle school. Students will build a strong foundation in algebraic reasoning and grapple with real-world applications. Work will focus on solving linear equations and systems and the exploration of exponential and quadratic relationships. Not offered at the Honors level.

Integrated Math 2: Algebra, Geometry, and Data Science

10th, 9th
Mathematics
Interests: Business, Engineering, Health, Law, Politics

Integrated Math 2 students expand their algebraic reasoning and understanding of mathematical models including quadratic equations and exponential functions. Students also explore probability and build upon their knowledge of transformations, congruence, and similarity while developing logic skills through conjecture, argument, and proof. Investigations in this course build connections between all topics covered.  Prerequisites: Integrated Math […]

Integrated Math 3: Algebra, Geometry, and Data Science

10th, 11th
Mathematics
Interests: Business, Engineering, Health, Law, Politics

Integrated Math 3 students continue to expand their algebraic reasoning and understanding of mathematical models including complex numbers, exponential equations, and polynomials. Students also explore sampling and build upon their knowledge of solid geometry and circle theorems while building connections between all topics covered.  Prerequisites: Integrated Math 2. Offered at the Honors and Standard levels. […]

PreCalculus – Functions

11th, 12th
Mathematics
Interests: Business, Engineering, Health, Law, Politics

In this course, students will take a deeper look at various families of functions: rational, radical, exponential, logarithmic, and polynomial. Students will learn about the ways in which domain, range, continuity, inverses, composition and transformation apply to those functions. Students will also have opportunities to analyze real-world data and generate predictive models. Topics from data […]

PreCalculus – Trigonometry

11th
Mathematics
Interests: Architecture, Engineering

Students in this course will learn about angle measurement, periodic behavior, and a range of applications related to both right triangle and circular trigonometry. Analytic geometry and polar coordinates are often included in this course, as well. Prerequisites: Algebra II and Geometry. Honors level requires departmental permission. Prerequisites: Integrated Math 2 and Integrated Math 3. […]

Calculus – Derivatives & Integrals

12th
Mathematics
Interests: Architecture, Engineering

The Derivatives course includes all of the topics of an introductory Calculus course including limits, derivatives and their applications. The Integrals course includes all of the topics of an introductory Calculus course including definite integrals, indefinite integrals and their applications. Prerequisite: Precalculus. Offered at the Honors and Standard levels. Honors level requires departmental recommendation.

Advanced Calculus – Derivatives & Integrals (Honors)

12th
Mathematics
Interests: Architecture, Engineering

This course covers all of the topics of an introductory Calculus course, exploring concepts in depth with a greater emphasis on both the abstract aspects of calculus and its various applications in the real world. Students will be expected to enter the class with a firm grasp of all concepts covered in previous math courses. […]

Upper School Math Electives

Discrete Mathematics & Advanced Topics

11th, 12th
Mathematics
Interests: Business, Engineering, Law, Politics, Research, Sports

In this course, students will have the chance to learn a range of discrete math topics and grapple with a range of different problems that fall outside the spectrum of traditional high school mathematics. Topics covered may include finite sets and partitions, enumeration, probability, expectation, random variables, and elementary number theory, with an emphasis on […]

Probabilities & Matrices

Mathematics
Interests: Business

Delve into the realms of Probability and Matrix Theory through the fascinating lens of Markov Chains and other applications. After learning the fundamentals of probability and matrix theory, you will work with models of possible event sequences. This course blends theory with applications to explore how matrices are used to understand and calculate probabilistic processes […]

Statistics/Data Science (BVR-X)

10th, 11th, 12th
Mathematics
Interests: Business, Health, Law, Politics, Psychology, Research, Sports

This course includes the gathering of data and a variety of sampling techniques, hypothesis testing, frequency distribution, normal distribution, correlation, linear regression, theoretical distributions, and inferential statistics. This course asks students to consider questions such as these: How is data summarized so that it is intelligible? How should statistical data be interpreted? How can we […]