Geometric and Spatial Reasoning
- Grades 3-4
Geometric and spatial reasoning skills are essential for living in and making sense of the world around us. Everything from solving a jigsaw puzzle to arranging furniture to efficiently packing a bag requires these abilities. Learn and practice these skills as you delve into the mathematical relationships between objects—ones that include congruence and symmetry, reflection and rotation, or expansion and contraction.
Explore the geometric properties of regular polygons and the so-called platonic solids, investigating relationships between area, circumference, and volume in a rigorous fashion.
Exercise hands-on investigation, collaboration, and discussion as you and your classmates physically construct polyhedra while exploring the geometric properties of regular polygons, tessellations, and other tools for studying objects in space.
Fall and Spring Time Commitment: 4-5 hours per week (1-hour pf class time, 3-4 hours of independent work).
Summer Time Commitment: 12-15 hours per week (3-hours of class time, 9-12 hours of independent work).
Register for an Online course by selecting an open class below. If no open classes are listed, then course enrollment is currently closed. Fill out this form if you wish to be notified when the next class is available. Note: You will need to have an active CTY Account to complete registration through MyCTY.
Testing and Prerequisites
|Required Level||CTY-Level||Not required|
Students must achieve qualifying scores on an advanced assessment to be eligible for CTY programs. If you don’t have qualifying scores, you have several different testing options. We’ll help you find the right option for your situation.Sign up for Testing Learn More
Cost and Financial Aid
- Nonrefundable Application Fee - $15 (Waived for financial aid applicants)
- Nonrefundable International Fee - $20 (outside US only)
We have concluded our financial aid application review process for Academic Year 2023-2024 Online Programs (Courses with start dates July 1, 2023-June 30, 2024). Our application for Academic Year 2024-2025 Online Programs is expected to open in January. We encourage those who may need assistance in the future to apply for aid as early as possible.
Please acquire all course materials by the course start date, unless noted as perishable. Items marked as “perishable” should not be acquired until the student needs them in the course. If you have questions about these materials or difficulty locating them, please contact [email protected].
Book Title: The Wright 3
Author: Blue Balliett
- Hardwood cubes, 100 pack
- Bullseye Compass
- (Optional) protractor
- (Optional) tangrams
This course requires a computer with high-speed Internet access and an up-to-date web browser such as Chrome or Firefox. You must be able to communicate with the instructor via email. Visit the Technical Requirements and Support page for more details.
This course uses a virtual classroom for instructor-student communication. The classroom works on standard computers with the Zoom desktop client, and on tablets or handhelds that support the Zoom Mobile app. Recorded meetings can only be viewed on a computer with the Zoom desktop client installed. The Zoom desktop client and Zoom Mobile App are both free to download.
About Mathematics at CTY
Our online Mathematics courses—spanning elementary through college-level curricula—cover a wide range of topics, from algebra and geometry to chess, cryptology, and AP Calculus and are guided by expert instructors. You’ll join group sessions with classmates to ensure you stay on track with challenging course content. Whether you’re looking for pure math fun and enrichment, to move up the math ladder and advance your honors and AP (and beyond) academic standing, or to train for mathematics competitions, there’s a CTY course that’s right for you.
Join the exciting world of competitive math
Participate in the High School Math Club or enroll in 6 IP courses: Middle School Competitive Math I, Middle School Competitive Math II, Middle School Competitive Math III, Competitive Mathematics Prep, Competitive Mathematics I, Competitive Mathematics II.