About the Course

Data and Chance

Your new friend at CTY teaches you a dice game. If you roll a 4, you win and the game ends. If your friend rolls a 5, they win and the game ends. You take turns rolling until one person wins. If you roll first, what is the probability you will win? This course explores probability and statistics, two areas of mathematics that easily transfer from the classroom to the real world. You and your classmates will conduct experiments and learn to make graphs, charts, and tables to display data. You’ll learn to determine the effects of particular variables; for example, examine how various design characteristics like weight and length affect the distance a paper airplane will travel. You’ll calculate the number of possible outcomes for various events; determine probabilities of independent, dependent, and compound events; and distinguish between theoretical and experimental probability. You’ll even learn ways to spot incorrectly gathered or misrepresented data in sources like newspapers and journals.

Typical Class Size: 14-16
 

Course Overview

This course is

ungraded.

Summer Dates & Locations

Registration deadline:

After May 2, 2025, registration is available upon request pending eligibility and seat availability. To request placement, email [email protected] after submitting a program application.

Session One

Birdseye view image of the campus of Mirman School
Mirman School
Los Angeles, California
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Day cost: $3,959
Enroll
Image of Gilman School Baltimore
The Gilman School
Baltimore, Maryland
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Day cost: $3,149
Enroll

Session Two

Image of Gilman School Baltimore
The Gilman School
Baltimore, Maryland
-
Day cost: $3,149
Enroll

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 - $55 (Waived for financial aid applicants)
    • Nonrefundable International Fee - $250 (outside US only)

We have concluded our financial aid application review process for 2025 On-Campus Programs. We encourage those who may need assistance in the future to apply for aid as early as possible. We are committed to serving all talented youth regardless of financial circumstances. Financial assistance is available based on need.

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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. Younger students build foundational skills by exploring shape, scale, and proportion in Geometry and Spatial Sense. Middle School students delve into real-world applications of lines and analyze data with curves that follow uniform, symmetric, bell-shaped, or skewed patterns in Data and Chance. Advanced students unveil the deep interplay between numbers and shapes, investigating how triangular, square, and polygonal numbers create patterns that bridge geometry and algebra in Number Theory. By examining these elegant number patterns and symmetries, students discover how mathematics captures the intricate beauty and underlying structure of the natural world.

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