Course Schedule
All courses available at AoPS Academy Lexington Campus are listed below, along with starting dates for upcoming offerings. Each offering of each course covers the same material as the other offerings of that course.
Academic Year Courses
Academic Year 2024-25 is now open for enrollment!
Click here to view the academic year schedule.
Click here to view the 2024-25 tuition
policies.
Calendar
Summer Courses
Summer courses have an open admissions policy: any age-appropriate student may enroll, no consultation required.
Schedule
Academic Year 2024-25 Mathematics
Math Level 1
36 weeks
Students develop their number sense and begin to learn about place value. They are introduced to ...Read Moreaddition and subtraction and are encouraged to approach numerical problems in clever ways. Additionally, they manipulate shapes, compare numbers, and examine ways to measure physical objects. We use puzzles and games to build skills and establish student understanding of mathematical concepts and problem solving. Read Less
Math Level 2
36 weeks
Students build foundational problem-solving skills which they will use throughout their math educ...Read Moreation. They will expand their understanding of the number system and place value, develop fluency adding and subtracting multi-digit numbers, and explore the properties of special types of numbers such as odds and evens. Each lesson includes challenging word problems and engaging puzzles that guide students toward a deep understanding of the material. Read Less
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Math Level 3
36 weeks
Students develop fluency with multiplication and division, including using the distributive prope...Read Morerty to simplify calculations. They are also introduced to fractions to expand their understanding of numbers. In addition, students explore two-dimensional shapes, estimation, the use of variables to write expressions and equations, and other topics. We regularly incorporate word problems to teach students how to translate between writing and mathematics, and puzzles to teach higher-order strategic thinking. Read Less
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Math Level 4
36 weeks
Students master multiplication and division of multi-digit numbers and build upon their understan...Read Moreding of addition and multiplication to include fractions. They also explore a wide variety of other topics, including properties of special two-dimensional shapes, symmetry, logic, factors, and probability. Students expand their understanding of numbers to include decimals and negative integers, and they learn to create and employ mathematical models via challenging word problems. Read Less
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Math Level 5
36 weeks
Students master the key topics they'll need to succeed in an AoPS Prealgebra course. They will co...Read Moremplete their study of the arithmetic of fractions, decimals, and negative integers. They are also introduced to topics in geometry, number theory, statistics, and beginning algebra through lessons on three-dimensional solids, factors and multiples, statistics, sequences, and ratios. Critical problem-solving skills, mathematical modeling, and deductive reasoning are reinforced with thought-provoking word problems and puzzles. Read Less
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Prealgebra
36 weeks
Prealgebra begins by formalizing the rules of arithmetic that students learned in elementary scho...Read Moreol, building on a rigorous foundation as they move into algebra. We then survey a wide range of topics, including number theory, algebra, geometry, counting, statistics, and probability. Each topic is introduced with compelling problems, including many drawn from major national math contests such as MATHCOUNTS and AMC 8. We place special emphasis on challenging word problems throughout the course. Read Less
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Algebra 1
36 weeks
In Algebra 1, students engage with various expressions from an algebraic and geometric perspectiv...Read Moree. They learn to solve linear and quadratic equations as well as how to represent expressions in the Cartesian plane. Students are imbued with a deep understanding of the general concept behind functions and are introduced to several important types of functions. Students are also introduced to the rich field of complex numbers. As with previous courses, we continue to emphasize challenging word problems to train students how to apply their new tools. Advanced problems from contests such as MATHCOUNTS, AMC 8, and AMC 10 are included throughout the course. Read Less
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Geometry
36 weeks
Geometry introduces students to spatial thinking. Students learn to dissect complex geometrical c...Read Moreonfigurations, applying what they've learned to arrive at key insights and novel understandings. Geometry problems are also tackled analytically by placing them on the Cartesian plane. In addition, we build the foundations for precalculus and calculus by introducing students to trigonometry. Many of the challenging problems from this course come from contests such as MATHCOUNTS, AMC 10, and AMC 12, with a few problems coming from even more advanced contests to stretch the strongest students. Read Less
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Algebra 2
36 weeks
In Algebra 2, students continue their study of algebraic functions and applications. We begin by ...Read Morereviewing key concepts from Algebra 1, then expand upon them to solve even more challenging problems. Students explore the rich field of polynomials and build foundations for calculus through the study of sequences and series. They are exposed to a variety of important algebraic forms and functions, and are equipped with the tools necessary for understanding new forms and functions they'll encounter in the future. We also lay the groundwork for navigating optimization problems with a study of inequalities. Many challenging problems in this course are drawn from contests such as AMC 10, AMC 12, AIME, and the Harvard-MIT Math Tournament. Read Less
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Precalculus
36 weeks
Our Precalculus class prepares students for a variety of college-level courses. Precalculus provi...Read Moredes a deep exploration of trigonometry, complex numbers, and two- and three-dimensional vector spaces, with a special focus on how these areas of mathematics are related. This gives students a solid foundation for collegiate courses in calculus, linear algebra, multi-variable calculus, complex analysis, and physics. Many of the challenging problems of Precalculus come from contests such as AMC 12, AIME, and the Harvard-MIT Math Tournament. Read Less
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Calculus
36 weeks
Our calculus class goes well beyond mechanics and calculators, and provides students a rigorous u...Read Morenderstanding of the fundamental operations of calculus, delivering a first-year calculus course like those students would find at a top-tier university. Students completing our calculus course will be in an excellent position to apply their new skills to physics, economics, engineering, and more advanced mathematics. Read Less
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Middle School Contest Math
36 weeks
Middle school math contests such as MATHCOUNTS are a launching pad for many of the best math stud...Read Moreents. In this course, we draw problems from premiere middle school contests such as MATHCOUNTS and the American Mathematics Competitions 8 (AMC 8), as well as beginning high school contests like the American Mathematics Competitions 10 (AMC 10). Students explore important new topics in counting, probability, and number theory, and learn to apply topics in algebra and geometry to advanced problems.
Students should either have completed an Algebra 1 course or be currently enrolled in one to be successful in this course. Read Less
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High School Contest Math
36 weeks
AoPS has prepared students for the most prestigious high school competitions since 1993. Over the...Read More last decade, most winners of the USA Mathematical Olympiad (USAMO) have been AoPS students, including 15 USAMO winners in 2020, as well as the US team members that won the International Math Olympiad (IMO) in 2015, 2016, 2018, and 2019. In this course, students study strategies crucial for success on the American Mathematics Competitions 10 and 12 (AMC 10 and 12), the American Invitational Math Exam (AIME), the Harvard-MIT Math Tournament, and other major high school contests.
This course is a challenge which builds on foundational knowledge that students should already have from their high school math courses. Students should expect to encounter difficult problems and topics.
Students should either have completed an Algebra 2 course or be currently enrolled in one to be successful in this course.
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Academic Year 2024-25 Language Arts
Language Arts Level 2
36 weeks
The Level 2 course engages students with a fantasy narrative as they practice fundamental grammar...Read More concepts and high-level reading and writing strategies. Students apply advanced language skills in order to complete each unit’s spell-busting writing project. Throughout the course, Greenie, a grammar-loving lizard, helps students as they discover the power of their words, beginning the course working on well-crafted sentences and culminating at the end of the year with detailed multi-paragraph pieces.
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Language Arts Level 3
36 weeks
The Level 3 course builds the foundation students need to become independent problem solvers in l...Read Moreanguage arts. The course is divided into four quarters: mythology, history, theater, and storytelling. In each unit, students tackle a challenging language arts problem. As they work to solve the problem, students develop deep reading, writing, and critical thinking skills. The thematic focus of the course is ancient Greece, giving students a rich introduction to characters and stories that are central to the Western literary tradition. Read Less
Language Arts Level 4
36 weeks
In the Level 4 course, students exercise their critical thinking skills in the study of language ...Read Moreacross American history. Each quarter, students engage with high-level texts to increase comprehension, and address authentic scenarios that cultivate problem-solving skills and hone each student's development of purposeful, quality writing. Read Less
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Language Arts Level 5
36 weeks
In the Level 5 course, students expand upon their critical abilities in creating masterful writin...Read Moreg: discerning research, composing arguments, building theories, and imagining what's missing -- all within the context of exploring some of history's most enduring mysteries. Students will gain skills in independent research and source evaluation, experience in text analysis and drafting plausible theories, and foster their emerging expertise in crafting the complex, nuanced writing required in upper-level coursework. Read Less
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This course prepares sixth grade and beginning middle school students for an advanced middle scho...Read Moreol language arts curriculum. The course has four units: critical thinking and communication, creative writing and language, research, and literary studies. In each unit, students develop new skills that contribute toward a final project that encapsulates the unit theme. Students who complete this course will be prepared for advanced middle school classes and have a competitive edge as they get ready for high school. Read Less
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In this course for 7th through 9th graders, students will learn how to apply classic rhetorical t...Read Moreechniques to real-world writing, speaking, and critical thinking scenarios. The course is divided into four units: Classic Rhetoric, Marketing, Literary Mystery, and Global Problem Solving. With each unit, students develop new skills that contribute toward a final project that encapsulates the unit theme. By the end of the course, students will have become savvy masters of persuasion. Read Less
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This course teaches students in grades 7-9 to present information clearly and effectively by intr...Read Moreoducing them to four of the most important modes of real-world expository writing: investigative journalism, the personal essay, historical documentary, and scientific writing. The course includes a deep focus on both writing and public speaking, training students to become masters of written and oratorical communication. Read Less
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Advanced Language Arts Seminar
36 weeks
This course introduces students to the craft of literary studies at the college level. Through cl...Read Moreose reading of challenging texts, students learn to form their own critical interpretation, to write and speak with sophistication, and to build well-crafted arguments one piece of evidence, one claim, and one draft at a time. Over the course of the year, students polish their style, grammar, and vocabulary as they produce creative texts, and develop the research skills integral to successful academic writing and public speaking. Read Less
Academic Year 2024-25 Science
Science Level 3
36 weeks
Students will explore topics in earth science, physical science, and life science, using problem ...Read Moresolving and a hands-on approach. They will be encouraged to ask questions about the world around them and will learn about scientific tools and processes which can help answer these questions. Classes will include lab activities, demonstrations, and games focused on real life phenomena.
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Students learn physics at an introductory level. With a hands-on, experimental approach, they stu...Read Moredy the fundamentals of Newtonian mechanics: motion, forces, and energy. Students will develop strong skills in critical thinking and scientific reasoning, and will learn to recognize and apply physics in their everyday, real-world experiences.
This course is designed for students interested in physics who have completed at least an Algebra 1 class.
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