Pre-Algebra (AoPS): This course formalizes the rules of arithmetic to build a rigorous foundation for algebra. Students move beyond simple calculations to explore a wide range of topics, including number theory, geometry, and counting. Number Theory: Mastering primes, divisors, multiples, and the foundations of the Greatest Common Divisor (GCD). Arithmetic Properties: Utilizing the distributive property, reciprocals, and negation as logical tools for mental math. Equations & Inequalities: Transitioning from simple arithmetic to multi-step variables and complex word problems.Counting & Probability: An introduction to discrete mathematics, including logical counting and statistical analysis.

Students focus on building and refining complex models. They develop the skills to use evidence from geological and biological data to explain the behavior of plate tectonics, thermal energy transfer, and the inner workings of human body systems.

In Middle School, students analyze the rise of ancient civilizations and the global movements that shaped world history. This journey concludes with a deep dive into the American narrative, examining how the foundations of U.S. government and social change continue to influence our modern world.  The Eastern Hemisphere: Students examine the foundations of democracy and global belief systems across regions like: East Asia, Sub-Saharan Africa, and Europe through the lenses of history, economics, geography, and civics.

Middle school students refine athletic techniques while participating in increasingly competitive team and individual activities. They apply offensive and defensive strategies, understand player positions and responsibilities, and develop leadership through teamwork and communication. Students begin tracking personal fitness data and learn how exercise, nutrition, and healthy habits contribute to overall well-being.

Classical Guitar Technique: Middle school students begin studying the guitar as a sophisticated musical instrument. They strengthen fingerstyle technique, develop fluency across the first position, and expand their understanding of accidentals and key signatures. As they perform increasingly challenging repertoire, students refine their sight-reading abilities while developing expressive phrasing and technical precision.

Middle school students apply computational thinking to increasingly complex engineering and robotics challenges. Through programming, robotics, and collaborative design projects, they develop persistence, analytical reasoning, and creative problem-solving skills. Students also examine ethical technology use, cybersecurity, artificial intelligence, and responsible participation in an increasingly connected world.

Introduction to Algebra (AoPS): This course provides a complete Algebra I course, and also includes many concepts covered in Algebra II. Students continue the creative, deep-dive analysis of how variables and functions describe the world. Linear & Quadratic Systems: Solving complex systems of equations, inequalities, and mastering the quadratic formula. Advanced Factorization: Learning "clever" factoring techniques and working with polynomials. Functions & Graphing: Analyzing linear and quadratic functions, including absolute value and special functions. Algebra II Extensions: Deep exploration of complex numbers, exponents, logarithms, sequences, and series.

Instruction emphasizes tracing matter and energy at the molecular level. Students develop the skill of analyzing chemical reactions to see how atoms rearrange and use data to evaluate human impact on natural resources and metabolic processes.

U.S. History I: Students trace the American human experience from pre-Columbian times through the Civil War, with a special focus on the pivotal role of New York State in our national story.

Students strengthen their athletic performance while taking greater responsibility for their own fitness and the success of their teams. They analyze game strategies, resolve conflicts respectfully, and demonstrate leadership through positive communication and sportsmanship. Students design personal fitness goals and explore how healthy lifestyle choices support long-term physical and mental health.

Harmony and Counterpoint: Students deepen their understanding of harmony by learning to accompany melodies with open-string bass lines and simple counterpoint. Through more advanced arpeggio patterns, expressive interpretation, and ensemble performance, they gain greater independence as musicians while learning how multiple musical voices work together to create rich and expressive performances.

Students investigate how technology and engineering can solve meaningful problems in science, society, and everyday life. They design, prototype, test, and refine innovative solutions while integrating robotics, programming, data analysis, and design thinking. Students deepen their understanding of artificial intelligence, automation, and emerging technologies while considering their ethical and global impact.

Geometry (AoPS): The sequence culminates in a rigorous, proof-based study of Geometry. This course is designed for students who have mastered basic algebra and are ready for a rigorous, discovery-based approach to geometry. Congruence & Similarity: Developing deep logical proofs using similar and congruent triangles. Advanced Circles & Polygons: Mastering complex topics such as Power of a Point, "funky areas," and properties of quadrilaterals. Three-Dimensional Geometry: Exploring spatial relationships and the volume/surface area of complex solids.  Analytic Geometry & Transformations: Merging algebraic tools with geometric shapes, including rotations, reflections, and coordinate proofs.

Students master scientific argumentation and independent inquiry. They use mathematical and computational models to explain Earth's place in space, analyze the physics of collisions, and reason from fossil records and genetic data to defend claims about natural selection.

U.S. History II: Students conclude their study of the American narrative, analyzing the era of Reconstruction, the growth of the modern United States, and how historical social changes continue to shape our world today.

As the culmination of the program, students demonstrate advanced game play, leadership, and personal responsibility. They participate confidently in team and individual sports while developing independent fitness plans that reflect their personal goals and interests. Through activities such as jogging, walking, frisbee, and other lifetime fitness pursuits, students graduate with the knowledge, habits, and confidence to lead active, healthy lives beyond HudsonWay.

Artistic Expression and Performance: In their final year, students synthesize the technical and musical skills developed throughout the program. They perform increasingly sophisticated classical guitar repertoire, demonstrating confidence in sight reading, stylistic interpretation, and expressive performance. As independent musicians, students use music to communicate ideas and emotions while preparing for continued musical study beyond HudsonWay.

As the culmination of the program, students complete interdisciplinary innovation projects that combine research, coding, robotics, engineering, and design thinking. Working independently and collaboratively, they identify authentic challenges, develop creative solutions, and present their work to an audience. Students graduate with the confidence to use technology responsibly, think critically, collaborate effectively, and embrace innovation as lifelong learners.