Course Subject: Mathematics

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Course Subject: Mathematics

Mathematics

Probabilities & Matrices (BVR-X)

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 and systems.
Offered Levels: New ACF field.
Prerequisites: New ACF field.
10th
11th
12th
BVR-X
English
Global History & Social Sciences
Mathematics
Modern Languages
Performing Arts
Science
Student-Directed Projects
Visual Arts

Student Directed Project – SDP

Interests: Architecture, Business, Design, Engineering, Film, Hands On, Health, Law, Literature, Politics, Psychology, Research, Social Justice, Social Sciences, Sports
A Student-Directed Project empowers students to do an in-depth exploration of a topic of interest throughout the term. The student designs, plans, and leads their research project in collaboration and with the guidance and support of a coach (faculty advisor). It allows students to delve deeper into their passion and to be the designer of their own learning. There is a wide range of Student-Directed Projects; they are multi-disciplinary, non-linear, and most importantly, student-created and led. That’s what makes them so interesting. Here are some examples of past projects:
  • Creating an architectural model using 3D architectural software
  • Through their eyes: Photo and interview series of veterans
  • Robosub electromagnetic linear accelerator
  • Acoustic pinger for Robosub
  • Virtual Reality game for visually-impaired persons
  • Creating a concept album
  • Dispute: Landlord-tenant board game
  • Multimedia journalism: Producing a podcast series
  • Perplex: English and Theater Study
  • Sensors and fiber optics: Building a fiber optic dress
  • Haptic technologies: Force-Feedback Virtual Reality
  • Applications of integrals to analytical continuation of functions
9th
Mathematics

Foundations for Algebraic Reasoning

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.

10th
9th
Mathematics

Integrated Math 2: Algebra, Geometry, and Data Science

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 1, Algebra 1, or Foundations for Algebraic Reasoning. Offered at the Honors and Standard levels. Honors level requires departmental recommendation.
12th
Mathematics

Calculus – Derivatives & Integrals

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.
10th
11th
12th
Mathematics

Statistics/Data Science (BVR-X)

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 measure the inherent uncertainty built into statistical data? Students will be asked to collect, analyze and interpret real data to answer real questions in their areas of interest.  Students can opt to take this class at the Honors level.  Prerequisites: Integrated Math 3 or Algebra 2 and Geometry
11th
12th
Mathematics

Discrete Mathematics & Advanced Topics

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 applications of discrete mathematics, and fair division, voting systems, graph theory, chaos theory and non-Euclidean geometry. Students will be able to answer questions like: “how many Beaver students are involved in a theater production and in an athletic sport throughout the school year?”, “what is the probability of picking at least three red marbles out of a bag of seven white marbles and five red marbles?”, “find the value of 7 mod 4”, “if there is a car accident, what is the probability the person is between the ages of 16-21?” and “what states have both a pro basketball team and a pro hockey team?” Students will also be asked to think creatively and apply their knowledge to complex real-world problems. Students can opt to take this class at the Honors level.  Open to Grade Levels: 11, 12, or by departmental approval.
11th
Mathematics

PreCalculus – Trigonometry

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. Offered at the Honors and Standard levels. Honors level requires departmental recommendation.
11th
12th
Mathematics

PreCalculus – Functions

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 science are often included in this course, as well. Prerequisites: Integrated Math 2 and Integrated Math 3. Offered at the Honors and Standard levels. Honors level requires departmental recommendation.
12th
Mathematics

Advanced Calculus – Derivatives & Integrals (Honors)

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. Prerequisite: Precalculus and departmental recommendation. Offered at the Honors level only.
10th
11th
Mathematics

Integrated Math 3: Algebra, Geometry, and Data Science

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. Honors level requires departmental recommendation.
8th
Mathematics

Math 8 – Relationships: Making and Modeling Connections with Geometry, Algebra, and Statistics

Interests: Business
This course will focus on relationships across three domains: geometry, algebra, statistics. In geometry, students will examine the relationships of congruence and similarity through transformations and uncover the meaning behind the symbols of the Pythagorean Theorem by investigating the relationship between the three sides of a right triangle. Students will extend their algebraic understanding to include systems of linear equations and inequalities and expand beyond linear functions to investigate exponential and quadratic models. Students will analyze relationships between variables in real data by considering different visualizations including function models while examining regression and linear trends. Emphasis is placed on communication in verbal and written form, creative problem-solving, and thinking and reasoning skills. Willingness to take risks and productive struggle are also major themes of the course. Inquiry-learning through projects, technology, and collaboration support the curriculum.

Beaver Country Day School admits qualified students of any race, sex, sexual orientation, gender identity or expression, religion, creed, handicap status, national origin or ethnicity to all the rights, privileges, programs and activities generally accorded or made available to students at the school. It does not discriminate on the basis of race, sex, sexual orientation, gender identity or expression, religion, creed, handicap status, national origin or ethinicity in the administration of its educational, admission, financial aid, athletic or other school-administered programs or policies.