15 Geometry Summer Courses for High School Students
- Stephen Turban
- 5 hours ago
- 11 min read
As a high school student, summer is a great time for you to learn beyond the classroom, and enrolling in a course is one of the smartest ways to do it. Unlike expensive study abroad programs or multi-week residential camps, courses are often a more accessible and affordable option that still delivers real academic value. Through a well-structured course, you can get a genuine taste of college-level academics, build practical problem-solving skills, and connect with instructors and peers who share your interests. For students drawn to math, spatial reasoning, or fields like architecture, engineering, or design, geometry is a particularly powerful place to start.
Why should I do a geometry course in high school?
A geometry course offered by a well-known university or institution can strengthen your college application, as admissions officers take notice when you seek out academic challenges beyond your required coursework. Such courses can also give you a preview of college-level academics and prepare you for the rigor of math undergraduate classes. A good course can sharpen your logical reasoning, spatial thinking, and ability to construct and communicate arguments. Many of these courses are taught by university faculty or advanced instructors.
We've done the research and narrowed down 15 geometry summer courses for high school students so you don't have to.
If you’re looking for online summer research programs, check out our blog here.
Key takeaways
These courses span full-year credit-bearing geometry, honors-level acceleration, logic and problem-solving, and self-paced online modules, so students can choose based on whether they need school credit or simply want to build skills.
Several courses award transferable high school credit for a full year of geometry in a condensed summer format, including College of DuPage, SFUSD Summer Accelerated Math, Georgetown Day School, and Northwestern CTD, though timelines and workloads vary significantly.
Free or low-cost options include SFUSD Summer Accelerated Math (free), Johns Hopkins and Coursera's Algebra Specialization (free to enroll), and Udemy courses starting around $10 to $42, making geometry review accessible at a range of budgets.
Several accelerated summer courses require a strong Algebra 1 foundation and a significant weekly time commitment, with some, such as Global Online Academy, requiring 15 to 20 hours per week to complete a full year's curriculum in seven weeks.
Location: Remote! You can participate in the program from anywhere in the world.
Cost: Varies by program type; full financial aid available.
Acceptance rate/cohort size: Selective
Dates: Varies by cohort: summer, spring, fall, and winter. Options range from 12 weeks to a year.
Application deadline: Varies based on cohort
Eligibility: Students enrolled in high school who demonstrate strong academic performance
The Lumiere Research Scholar Program is a rigorous research program tailored for high school students. The program offers extensive 1-on-1 research opportunities across a wide range of subjects for high school students to explore. The program will pair you with Ph.D. mentors to work one-on-one on a research project. At the end, you will have developed an independent research paper! You can choose from areas such as math, engineering, and reasoning. You can learn more about the application here, and check out students’ reviews of the program here and here.
Location: Online
Cost: $1,650 – $1,716, depending on the session + $55 joining fee (if new to CTY) + $15 online registration fee; financial aid is available.
Acceptance rate/cohort size: Not specified
Dates: Various sessions throughout the year, including summer sessions
Application deadline: Varies by session
Eligibility: Students in grades 6 – 11; applicants must complete CTY identification testing at the Quantitative CTY-Level to qualify.
This online Johns Hopkins CTY course covers the core topics of a full-year honors geometry course. You will explore concepts like geometric proofs, triangle relationships, transformations, circles, parallel and perpendicular lines, polygons, three-dimensional figures, and probability. You will work with your instructor through virtual classroom software; you can also email your instructor with questions or schedule one-on-one virtual meetings as needed. The course is designed as an accelerated learning experience, so you will progress at your own pace with your instructor's guidance. The course requires four to seven hours of work per week, including an optional hour of class meetings and four to six hours of independent work.
Location: Virtual
Cost: Varies depending on program type; financial assistance available
Acceptance rate/cohort size: Selective
Dates: Spring and fall cohorts: 15 weeks | Summer cohort: 10 weeks (June – September)
Application deadline: Multiple deadlines each year for the Summer, Spring, and Fall cohorts.
Eligibility: High school students with good academic performance (>3.67 GPA); most accepted students are 10th/11th graders! A few tracks require prerequisites.
Horizon offers trimester-long research programs for high school students across subject areas such as data science, machine learning, political theory, and more. It is one of the few research programs for high school students that offers you the choice to engage in either quantitative or qualitative research. Once you select a particular subject track, Horizon pairs you with a professor/PhD scholar who acts as a mentor throughout your research journey. As a participant, you will be expected to develop a 20-page research paper that you can send to prestigious journals for publication as a high school student. The program also provides a letter of recommendation for each student and detailed project feedback you can use to improve future projects.
Location: Virtual
Cost: $3,200; financial aid available
Cohort size: Not specified; 16 students/class
Dates: July 6 – 17
Application deadline: March 13
Eligibility: Students, ages 13 – 18, in grades 8 – 11 who have completed an Algebra course
Stanford’s Pre-Collegiate Summer Institutes offer middle and high school students the opportunity to enroll in single-subject college-level courses over two weeks in the summer. The Logic and Problem Solving course is a two-week opportunity to dive into geometry, algorithms, probability, number theory, combinatorics, inequalities, logic, and puzzles through live classes. Over live sessions and independent study periods, you will practice techniques and build problem-solving strategies to refine your creative and logical thinking skills. You will spend time discussing problem-solving with peers, working on math problems and puzzles, and presenting your solutions. Assignments and projects will also be part of the experience.
Location: College of DuPage, Glen Ellyn, IL
Cost: $379/session
Acceptance rate/cohort size: Not specified
Dates: First session (semester): June 4 – 26 | Second session (semester): July 6 – 24
Application deadline: One week prior to the start of class or when the course is full
Eligibility: High school students or incoming college freshmen who have completed Algebra I; students must complete both semesters to earn one full year of high school credit.
This in-person geometry course is taught by instructors certified by the Illinois State Board of Education and is equivalent to a full year of high school geometry. You will study coordinate geometry, measurement, inductive and deductive reasoning, parallel and perpendicular lines, congruent triangles, quadrilaterals, similarity, right triangle relationships, circles and their related angles and segments, and formulas for area, surface area, and volume. The summer program is condensed, so one day of class equals one week of regular school year coursework, with classes meeting from 8 a.m. to noon. You can take the semesters separately, though completing both qualifies you for a full year of credit and prepares you for honors-level geometry.
Location: Lowell High School, San Francisco, CA
Cost: Free
Acceptance rate: Not specified
Dates: June 9 – July 17
Application deadline: March 20
Eligibility: Current SFUSD 9th graders who are taking Algebra 1 as freshmen and would like to take Algebra 2 as sophomores
The SDUSD offers an accelerated summer mathematics course that allows eligible students to earn a full year of Geometry credit, equivalent to 10 units, in a condensed, in-person format. The course is designed for students currently enrolled in CCSS Algebra 1 or CCSS Algebra 2 who have maintained a grade of A or B. Given its fast-paced structure, it demands consistent effort and academic readiness. This can be an opportunity to explore advanced math concepts within a familiar classroom environment.
Location: Virtual
Cost: Member: $1,200 | Non-Member: $1,500
Acceptance rate: Open enrollment
Dates: June 15 – July 31
Application deadline: Rolling deadlines
Eligibility: High school students with a strong background in Algebra 1 or its equivalent
Spanning seven weeks, this accelerated summer course covers the equivalent of a full year of high school geometry at a brisk pace. Rooted in Euclidean geometry, the curriculum covers a broad range of topics including parallel lines, triangle congruence and similarity, quadrilaterals, polygons, circles, and an introduction to trigonometry. The course also focuses on developing your ability to analyze lengths, areas, and volumes across two- and three-dimensional figures, as well as transformations. Beyond content knowledge, the program emphasizes logical reasoning through theorems, proofs, and deductive arguments. The course requires a weekly time commitment of 15 to 20 hours.
Location: Las Positas College, Livermore, CA
Cost: Not specified
Acceptance rate/cohort size: Not specified
Dates: Summer Sessions; six weeks
Application deadline: March 31
Eligibility: High school students
Las Positas College provides high school students the opportunity to complete a full Geometry course through its Concurrent Enrollment program. Held Monday through Thursday in three- to four-hour sessions that combine lecture and lab components, the course offers intensive exposure to geometry, condensing 16 weeks of material into just six weeks. While the program offers a college classroom experience, it does not offer transferable college credit upon completion. This can be your opportunity to explore advanced or college-level mathematics ahead of graduation.
Location: Georgetown Day School, Washington, D.C.
Cost: $1,695; need-based financial aid is available.
Acceptance rate: Not specified
Dates: June 15 – July 24
Application deadline: June 8
Eligibility: High school students
Georgetown Day School's Summer Geometry course is an accelerated program that compresses a full year of geometry content into an intensive six-week format. You will explore core math topics such as logic and reasoning, angle relationships, parallel and perpendicular lines, polygons, congruence, similarity, circles, right triangle trigonometry, area, and volume. The schedule will include both a midterm and a final exam to help you track your progress and revisit learned concepts. You will also receive a mid-semester progress report and an end-of-course pass/fail transcript.
Location: Northwestern University, Evanston, IL
Cost: Tuition: $3,025 + Residential fee: $2,405; need-based financial aid is available.
Acceptance rate: Selective
Dates: July 19 – August 7
Application deadline: Rolling deadlines
Eligibility: High school students
This Geometry Honors course uses a rigorous curriculum covering formal proofs, logic and deductive reasoning, geometric constructions, congruence and similarity, parallels and perpendiculars, polygons, circles, and transformations. You will learn through instructional sessions and engage in problem-solving while using advanced technology. Designed as a full-year high school course, the course can help you move ahead in your school district's mathematics sequence. Upon successful completion, you will earn two high school credits.
Location: Virtual
Cost: Free to enroll; paid certificate available
Acceptance rate: Open enrollment
Dates: Multiple start dates; commitment of four weeks at 10 hours a week
Application deadline: Rolling deadlines
Eligibility: Open to all
Offered by Johns Hopkins University, this three-course specialization is designed for students looking to build a strong foundation in algebra and geometry in preparation for future coursework in precalculus and calculus. Throughout the program, you will use quantitative reasoning and logical thinking to interpret data and make well-informed conclusions. Rather than culminating in a single large project, the course integrates numerous applied problems across its modules, with practice exercises and worked solutions provided at every stage. Core topics include solving linear, quadratic, polynomial, and exponential equations; properties of real, rational, and irrational numbers; characteristics of various functions such as graphs, domain, range, intercepts, and asymptotes; and the practical application of mathematical theory to model data and evaluate arguments.
Location: Virtual
Cost: Paid subscription; amount varies by location
Acceptance rate/cohort size: Open enrollment
Dates: Multiple start dates; commitment of two weeks at 10 hours a week
Application deadline: Rolling deadlines
Eligibility: Open to all
Offered by the University of London, Geometry and Calculus for Computing is a structured course that bridges core mathematical concepts with their direct applications in computer science. Delivered across four modules, the course builds proficiency in trigonometry, graph sketching, kinematics, exponential and logarithmic functions, and introductory calculus. A key emphasis is placed on connecting abstract mathematical theory to real-world computing contexts, including computer graphics, simulations, optimization, and algorithm analysis. You will learn how to calculate gradients, interpret and sketch functions, and apply mathematical reasoning to a broad range of computational problems. The course is designed to help you build the mathematical foundation needed to pursue advanced study in both computer science and data science.
Location: Virtual.
Cost: Starts from $42
Acceptance rate/cohort size: Open enrollment
Dates: Self-paced
Application deadline: Rolling deadlines
Eligibility: Open to all who are comfortable with basic algebraic operations and simple equation solving
Become a Geometry Master is an online course designed to introduce you to the full scope of geometry, reinforced by over 730 practice questions across 280 lessons. The curriculum spans topics like triangles, quadrilaterals, polygons, circles, three-dimensional figures, transformations, logic and proofs, triangle congruence, dilations, and coordinate geometry. Each section is structured around video explanations, concise notes, quizzes with solutions, and downloadable workbooks. Its step-by-step instructional approach breaks down concepts into manageable lessons. The course material includes 9.5 hours of on-demand videos, 106 articles, and 190 downloadable resources, culminating in a certificate of completion.
Location: Virtual
Cost: Starts from $32
Acceptance rate/cohort size: Open enrollment
Dates: Self-paced
Application deadline: Rolling deadlines
Eligibility: Open to all
This geometry course offers an introduction to the subject, covering core areas including points, lines, angles, triangles, quadrilaterals, polygons, circles, basic trigonometry, coordinate geometry, and three-dimensional solids. With over 183 solved questions and 14 hours of on-demand video, the course prioritizes active problem-solving and conceptual clarity. A key feature is its use of the Graphical Division method, which is a visually intuitive approach to tackling geometric problems. The course also explores how regular shapes behave when inscribed within other shapes, adding an element of depth beyond standard curriculum coverage. Rounding out the package are two supplementary articles and a certificate of completion.
Location: Virtual.
Cost: Starts from $10.
Acceptance rate/cohort size: Open enrollment
Dates: Self-paced
Application deadline: Rolling deadlines
Eligibility: Open to students with a basic understanding of high school algebra
This course takes a unified approach to linear algebra and geometric algebra, offering you a deeper, more intuitive understanding of mathematical structures that underpin physics, engineering, and computer science. Beginning with the core concepts of linear algebra, such as vectors, matrices, linear transformations, and eigenvalues, the curriculum moves on to geometric algebra, connecting it to complex numbers and vector calculus. A central focus is developing strong geometric intuition, enabling you to interpret rotations, projections, and reflections through multivectors and the geometric product. You will also learn to translate fluently between traditional linear algebra and geometric algebra frameworks. The course offers eight downloadable resources and 12.5 hours of on-demand videos, ending with a certificate of completion.
Frequently asked questions
What geometry summer courses are available for high school students?
Options include credit-bearing accelerated courses, such as College of DuPage, SFUSD Summer Accelerated Math, Georgetown Day School, and Northwestern CTD, honors-level online courses, such as Johns Hopkins CTY Honors Geometry and Global Online Academy's Summer Geometry, problem-solving and logic courses, such as Stanford Pre-Collegiate Logic and Problem Solving, and self-paced options through Udemy and Coursera.
Which geometry courses award high school credit?
College of DuPage, SFUSD Summer Accelerated Math, Georgetown Day School, and Northwestern CTD all offer a full year of geometry credit in a condensed summer format. Las Positas College offers a comparable college classroom experience but does not award transferable credit. Students should confirm credit transfer policies with their home school before enrolling.
Are there free or low-cost geometry courses for high school students?
Yes, SFUSD Summer Accelerated Math is free for eligible students. Johns Hopkins and Coursera's Algebra Specialization is free to enroll, with a paid certificate available. Udemy courses, such as Become a Geometry Master, Geometry Basics to Advanced, and Geometric Algebra, start as low as $10 to $42.
Which geometry courses are best for students preparing for competition math or advanced problem-solving?
Stanford Pre-Collegiate's Logic and Problem Solving course covers geometry alongside combinatorics, number theory, and inequalities, making it a strong fit for students interested in competition-style math. Northwestern CTD's Honors Geometry course also emphasizes formal proofs and deductive reasoning at an advanced level.
When should I apply to geometry summer courses for high school students?
The earliest deadline is Stanford Pre-Collegiate (March 13), followed by SFUSD Summer Accelerated Math (March 20) and Las Positas College (March 31). Georgetown Day School closes June 8. Many other courses, including Johns Hopkins CTY, Global Online Academy, Northwestern CTD, and all Udemy and Coursera options, accept rolling applications, so students can enroll close to the start date.
Stephen is one of the founders of Lumiere and a graduate of Harvard College, where he earned an A.B. in Statistics. He founded Lumiere as a Ph.D. student at Harvard Business School. Lumiere is a selective program where students work one-on-one with research mentors to develop an independent research paper.