About the Course

Numbers: Zero To Infinity

What does a subatomic particle measured in femtometers have in common with a galaxy measured in light years? Both are a part of humans’ effort to quantify our world. In this course, you’ll explore numbers, from the miniscule to the unimaginably large, and learn how they help explain natural phenomena such as time, distance, and temperature. Moving beyond traditional arithmetic, you and your classmates will consider questions like: how much dog food would you need if your dog were the size of a dinosaur? You’ll examine different measurement systems and learn the origins of familiar and unfamiliar methods of measurement, invent your own units of measurement, and use dimensional analysis to investigate conversions between different scales or systems. Then learn to apply concepts of ratio and proportion by constructing and analyzing scale models of our solar system, the human body, and other objects in our natural world.

Note: Calculators are used only when extensive computations are needed.

Typical Class Size: 14-16
 

Course Overview

Summer Dates & Locations

Registration deadline:

After May 31, 2024, registration is available upon request pending eligibility and seat availability. To request placement, email [email protected] after submitting a program application.

Session One

Gilman School Baltimore
Baltimore, Maryland
-
Day cost: $3,099
Session in Progress
Image of Mirman School
Los Angeles, California
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Day cost: $3,599
Session in Progress
Speyer School
New York, New York
-
Day cost: $3,599
Session in Progress

Session Two

Gilman School Baltimore
Baltimore, Maryland
-
Day cost: $3,099
Session in Progress
Image of Mirman School
Los Angeles, California
-
Day cost: $3,599
Session in Progress
Speyer School
New York, New York
-
Day cost: $3,599

Testing and Prerequisites

  Math Verbal
Required Level CTY-Level Not required
Check your eligibility using existing test scores If you do not have existing test scores:

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

  • Tuition
    • Varies
  • Application fee
    • Nonrefundable Application Fee - $50 (Waived for financial aid applicants)
    • Nonrefundable International Fee - $250 (outside US only)

Financial Aid

We have concluded our financial aid application review process for 2024 On-Campus Programs. We encourage those who may need assistance in the future to apply for aid as early as possible.

Learn More

About Mathematics at CTY

Explore the study of shapes

Many of our courses allow students to describe the world around them in basic and profound ways. Our younger students learn about shape, scale, and proportion in Geometry and Spatial Sense. Middle School students explore beautiful real-world applications of lines; analyze data based on curves that fit a uniform, symmetric and bell-shaped, or skewed pattern in Data and Chance. And advanced students explore the underlying mathematics and fundamental characteristics of shapes, distance, and continuous deformations in our proof-based Topology course.

Dive deep into logic and reasoning

Our courses in formal logic give you the tools to question the world around you. Inductive and Deductive Reasoning introduces younger students to different types of reasoning, as well as the strengths and weaknesses inherent in various forms of critical analysis. Older students explore how logical reasoning can explain (or fail to explain) counter-intuitive results in Paradoxes and Infinities, or take a more rigorous approach to formal logic in Mathematical Logic.

Meet our instructors and staff