SUMMER OF CODE (Jun 8 - Aug 21) Make your summer count.

Geometry

  7-12 graders

  Credits awarded on transcript  

  Algebra I completed with B- or better

  UC A-G approval pending

  2 hours per day (summer)  

  8-10 students per class

  4 days per week 2, 4, or 6 weeks

  669 per student, per week  

  Self paced instructor-guided  

  Personalized 1-1 support

  Office hours 1 hour per week

  1699 per student, per semester  

  90 minutes per class

  4-8 students per class

  Twice per week over 36 weeks

  1699 per student, per semester  

Geometry is a critical mathematics course that builds upon the foundational skills developed in Algebra I and introduces students to the study of spatial relationships and logical reasoning. Geometry helps students understand and apply the properties and relationships of points, lines, planes, angles, surfaces, and solids. It serves as an essential bridge between basic arithmetic skills and the higher-level abstract thinking required in advanced mathematics and science courses.

The course emphasizes both visual and analytical problem solving. Students will explore topics such as congruence, similarity, properties of triangles, circles, coordinate geometry, right triangle trigonometry, and transformations. Key learning outcomes include the ability to:

  • Construct logical arguments and formal proofs
  • Solve problems involving geometric figures and measurements
  • Apply coordinate systems to model geometric concepts
  • Analyze the properties and relationships of two- and three-dimensional objects
  • Explore the connections between geometry and algebra through transformations and coordinate methods

Students cultivate critical thinking by using deductive reasoning, constructing proofs, and validating solutions systematically. Geometry strengthens mathematical communication skills and nurtures the precision needed for success in fields such as computer science, engineering, architecture, and physics.

At 2Sigma School, Geometry is taught through a project-based approach where students engage in investigations, constructions, and modeling activities. Projects may include designing structures using geometric principles, creating scaled models, or exploring the mathematics behind art, design, and navigation systems. Students move beyond rote memorization and learn how geometry applies to the world around them.

It is recommended that students have successfully completed Algebra I prior to beginning Geometry. The highest performing students enjoy logical analysis, structured argumentation, and visual reasoning. Geometry is not just about shapes—it's about developing a structured way of thinking that enables students to approach problems methodically and creatively.

  

Course Outline

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  1. Constructions and Rigid Transformations
    This unit introduces students to the fundamental tools of geometry, the compass and straightedge, and how to use them to create geometric figures. Students explore rigid transformations like translations, reflections, and rotations, developing an understanding of how these transformations preserve distance and angles. The unit culminates in students using transformations and constructions as a basis for developing geometric arguments and proofs.
  2. Congruence
    In this unit, students delve into the concept of congruence, focusing primarily on triangles and extending to quadrilaterals. Students use rigid transformations to establish the conditions for triangle congruence, such as SSS, SAS, and ASA. They apply these congruence criteria to prove geometric relationships and solve problems involving congruent figures.
  3. Similarity
    This unit explores the concept of similarity, which involves figures that have the same shape but not necessarily the same size. Students investigate dilations and their properties, using them to define similarity transformations. Students develop an understanding of proportional reasoning in the context of similar figures and apply these concepts to solve problems, including those involving right triangles.
  4. Right Triangle Trigonometry
    This unit introduces students to trigonometry, the study of relationships between angles and side lengths in triangles. Students begin by examining the concept of 'steepness' and how it relates to angles, leading to the definition of trigonometric ratios: sine, cosine, and tangent. Students apply these ratios to solve problems involving right triangles, finding missing side lengths and angle measures.
  5. Solid Geometry
    In this unit, students extend their understanding of geometry from two dimensions to three dimensions. Students explore cross-sections of three-dimensional figures and how scaling affects area and volume. The unit focuses on calculating the volumes of prisms, cylinders, pyramids, and other solid figures.
  6. Coordinate Geometry
    This unit connects algebra and geometry by exploring geometric concepts within the coordinate plane. Students use transformations to analyze figures, calculate distances, and derive equations of circles and parabolas. A key focus is on using algebraic methods to prove geometric theorems, strengthening the connection between these two branches of mathematics.
  7. Circles
    This unit delves into the properties of circles, including the relationships between lines, angles, and arcs within a circle. Students investigate inscribed and circumscribed polygons and develop an understanding of how to measure circles, including finding circumference, arc length, and area.
  8. Conditional Probability
    This unit introduces students to the fundamental concepts of probability. Students learn to calculate the likelihood of events, explore how events can be combined, and analyze the relationships between events, including conditional probability.
Summer of Code
    see detailed summer schedule

The course is 100% online. Students will have access to an online textbook. However, students must have access to a printer at home to print out worksheets and other materials.

Students should have access to a device with a camera to take photos of their work for submission.

To take any of our courses, students must be familiar with opening a browser, navigating to a website, and joining a Zoom meeting.

Students must have a quiet place to study and participate in the class for the duration of the class. Some students may prefer a headset to isolate any background noise and help them focus in class.

Most course lectures and content may be viewed on mobile devices but programming assignments and certain quizzes require a desktop or laptop computer.

Students are required to have their camera on at all times during the class, unless they have an explicit exception approved by their parent or legal guardian.

Our technology requirements are similar to that of most Online classes.

A desktop or laptop computer running Windows (PC), Mac OS (Mac), or Chrome OS (Chromebook).
Students must be able to run a Zoom Client.
A working microphone, speaker, webcam, and an external mouse.
A high-speed internet connection with at least 15mbps download speed (check your Internet speed).

This course includes several timed tests where you will be asked to complete a given number of questions within a 60-90 minutes limit. These tests are designed to keep you competitively prepared but you can take them as often as you like. We do not proctor these exams, neither do we require that you install special lockdown browser.

In today's environment, when students have access to multiple devices, most attempts to avoid cheating in online exams are symbolic. Our exams are meant to encourage you to learn and push yourself using an honor system.

We do assign a grade at the end of the year based on a number of criteria which includes class participation, completion of assignments, and performance in the tests. We do not reveal the exact formula to minimize students' incentive to optimize for a higher grade.

We believe that your grade in the course should reflect how well you have learnt the skills, and a couple of timed-tests, while traditional, aren't the best way to evaluate your learning.

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FAQ

Your questions. Our answers.

2Sigma School offers three flexible enrollment formats so students can learn in the way that best fits their schedule:

Independent Study is our most popular format and is offered year round. An assigned instructor guides the student through the course with weekly 1-on-1 office hours for teaching new concepts, reviewing work, and giving personalized feedback. At a standard pace, students complete one semester in about 18 weeks or the full course in 36 weeks. Students who want to move faster can set an accelerated goal and their instructor will provide additional office hours to match. This format works well for students with busy schedules or those completing coursework started in another format.

Summer of Code is our accelerated summer program. Students meet 2 hours per day, 4 days per week in an intensive format that allows them to complete a full-year course in as few as 6 weeks. This is ideal for students who want to earn credits quickly or get ahead before the school year starts. It requires a significant time commitment and is best suited for students who can dedicate themselves fully to the program during the summer.

Live Classes are our year-round, cohort-based format. Students attend live online sessions (90 minutes, twice per week) over 36 weeks in small groups of 10–14 students. This format provides consistent interaction with instructors and peers throughout the academic year, with time between sessions to work on projects and assignments. These classes are subject to cohort formation and may have limited availability.

Independent Study offers the most flexibility. During the application process, students provide their availability and we match them with an instructor whose schedule aligns. Sessions are then scheduled directly between the student and their instructor.

Summer of Code and Live Classes are cohort-based. Students indicate all of their available time slots when applying, and we form cohorts based on the collective availability of enrolled students. This approach gives families flexibility while ensuring each cohort has a consistent meeting time that works for everyone in the group.

As an accredited institution, 2Sigma School can award high school credits for our courses on a transcript, just like your child's regular school. Some high schools may accept these credits as part of their graduation requirements, and even use them to calculate your child's GPA. This policy varies by school, so we recommend you check with your child's school counselor.

Regardless of your local school's decision, students can submit our transcript to colleges as college applications allow additional transcripts to be submitted. This can help your child stand out in the college application process.

We are accredited by Cognia and most of our courses are not only NCAA approved, they are also approved for A-G credits by the University of California. Our AP courses are approved by the College Board.

In addition, 2Sigma School is an approved online course provider in multiple states, including California, Washington, Oklahoma, and Florida. See our accreditations page for more details.

Our instructors vary by course as well as by availability. Some of our instructors are high school teachers with deep expertise in computer science, teaching credentials in multiple states, and years of classroom experience. Others are professionals with an undergraduate degree in Computer Science with deep experience in the subject matter and a demonstrated ability and aptitude to teach teenage students.

All of our instructors undergo a rigorous screening process for content and pedagogical expertise. They are background checked as per local and state regulations, and are trained in online instruction and classroom management.

Students need a desktop or laptop computer running Windows (PC), Mac OS (Mac), or Chrome OS (Chromebook), along with a working microphone, speaker, and webcam. A high-speed internet connection with at least 10 Mbps download speed is required.

Students should be familiar with opening a browser, navigating to a website, and joining a Zoom meeting. Most course content can be viewed on mobile devices, but programming assignments and certain quizzes require a desktop or laptop computer.

Yes. All formats include access to instructor support. In Live Classes and Summer of Code, students can ask questions during class and instructors are available to provide additional guidance. In Independent Study, students have dedicated weekly office hours with their assigned instructor.

If a student needs additional 1-on-1 support beyond what is included, we offer tutoring sessions that can be arranged through our team. Contact us at admissions@2sigma.school for details.