Financial Algebra

Ever wondered, "How do I create a budget?" or "What's the secret to mastering debt?" Want to unravel the mysteries of taxes and insurance, and discover the keys to paving your way through college expenses? In this course, you will be using skills you have previously learned in Integrated Math 3 (or Algebra II) to deepen your knowledge on personal finances. Get ready to transform your understanding of money, making it not just about equations but about owning your financial future with confidence! Students can opt to take this class at the Honors level Prerequisites: Integrated Math 2 or Algebra 1

Student Directed Project – SDP

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

Discrete Mathematics and Linear Algebra

This course introduces two interconnected areas of modern mathematics and the shared ways of thinking that link them. Students explore discrete topics such as counting, probability, patterns, and finite systems while also learning how these ideas can be represented and analyzed using vectors, matrices, and systems of equations. Special emphasis is placed on common tools across both disciplines, including mathematical modeling, logical reasoning, matrix representations of data and networks, and optimization. Throughout the course, students apply these connected ideas to problems in computer science, economics, and data analysis, seeing how discrete structures and linear algebra work together to describe patterns, make predictions, and solve real-world problems. Students can opt to take this course at the Honors level. Prerequisites: Integrated Math 2 or Algebra 1

Integrated Math 2: Algebra, Geometry, and Data Science

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 or Algebra 1. Offered at the Honors and Standard levels. Honors level requires departmental recommendation.

Calculus – Derivatives & Integrals

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.

Statistics

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

Advanced Math Topics (Honors)

In this course, students will be asked to grapple with a range of topics that extend beyond fundamental calculus topics. Topics covered may include but are not limited to l’Hospital’s rule, linear approximations, differentials, Newton’s Method of Approximation, center of mass, arc length, surface area, and differential equations. Students will be asked to think creatively and apply their knowledge to complex real-world problems and extend their knowledge of fundamental calculus topics. Students taking Advanced Calculus or others with a strong interest in pursuing advanced mathematics at the college level are strongly encouraged. Class offered at the Honors level only Prerequisites: Advanced Calculus or departmental permission

PreCalculus – Trigonometry

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.

PreCalculus – Functions

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.

Advanced Calculus – Derivatives & Integrals (Honors)

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.

Integrated Math 3: Algebra, Geometry, and Data Science

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.

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

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.