About the Course
Spatial understanding is necessary for interpreting, understanding, and appreciating our inherently geometric world. Many everyday tasks such as designing a treehouse, solving a jigsaw puzzle, or laying out a garden require spatial reasoning abilities. This course will help you develop those abilities through discussions and hands-on investigations. You'll explore mathematical relationships such as congruence, symmetry, and reflection; learn geometric formulas to calculate area, surface area, perimeter, circumference, and volume; and explain your findings using geometric terminology. You and your classmates will explore the geometric properties of regular polygons and create your own polyhedra using paper-folding techniques. By creating two- and three-dimensional drawings and physical models, you'll study tessellations, similarity, measurement, polygons, and curved shapes. You'll leave this course with a solid understanding of foundational geometry concepts and a well-developed spatial sense.
Typical Class Size: 12
Learning Objectives
- Demonstrate knowledge of geometrical vocabulary and how definitions for geometric figures can be developed
- Measure two and three dimensional figures
- Use measurement and geometric tools including protractors, rulers, and compasses
- Apply spatial reasoning abilities to determine the relationship between geometric objects
- Reason geometrically (e.g., if two angles meet on a straight line and one measures 60 degrees, what would the other angle measure?)
- Solve problems using analysis and measurement of geometrical objects
About Advanced Enrichment courses
These courses offer above-grade-level material that is presented in a novel context, explored with other advanced learners, and guided by a CTY educator to help prepare students for higher-order thinking and college-style academic challenges. Students work individually and may finish the course early if they complete all requirements before the course end date.
Requirements
CTY courses have grade-level requirements and most require minimum test scores. Some courses may also have prerequisites.
Identification DetailsDates and Tuition
In Person
Gilman School
Baltimore, MDYou will be asked to join or sign in first.
Register by: June 21, 2026
Filling up fast! 1 spots leftTime Commitment:
Course Materials
Students should bring basic school supplies like pens, notebooks, and folders to their summer program. You will be notified of any additional items needed before the course begins. All other materials will be provided by CTY.
Sample Reading
These titles have been featured in past sessions of the course, and may be included this summer. CTY provides students with all texts; no purchase is required.
The Wright 3, by Blue Balliett (Author), Brett Helquist (Illustrator)
Speyer School
New York, NYYou will be asked to join or sign in first.
Register by: June 21, 2026
Filling up fast! 7 spots leftTime Commitment:
Course Materials
Students should bring basic school supplies like pens, notebooks, and folders to their summer program. You will be notified of any additional items needed before the course begins. All other materials will be provided by CTY.
Sample Reading
These titles have been featured in past sessions of the course, and may be included this summer. CTY provides students with all texts; no purchase is required.
The Wright 3, by Blue Balliett (Author), Brett Helquist (Illustrator)
You will be asked to join or sign in first.
Register by: June 8, 2026
Full Waitlist AvailableTime Commitment:
Course Materials
Students should bring basic school supplies like pens, notebooks, and folders to their summer program. You will be notified of any additional items needed before the course begins. All other materials will be provided by CTY.
Sample Reading
These titles have been featured in past sessions of the course, and may be included this summer. CTY provides students with all texts; no purchase is required.
The Wright 3, by Blue Balliett (Author), Brett Helquist (Illustrator)
Registration Fee and Financial Aid
Tuition and fees will be waived or reduced for students who qualify for financial aid.
Learn more about Financial Aid