Numbers: Zero To Infinity
- Grades 4-5
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
- Explain, classify, and operate on different types of numbers, ranging from very small to very large numbers
- Solve problems and justify real-world solutions involving decimals, exponents, negative numbers, irrational numbers, square roots, proportions, and ratios
- Demonstrate a basic understanding of limits, probabilities, and counting principles
- Utilize various measurement tools, and techniques while converting between metric and standard units
- Apply strategies of rounding, estimating, and mental calculations to solve real-world problems
- Share and articulate ideas and solutions to problems, both written and orally, independently and in groups
Summer Dates & Locations
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 - $50 (Waived for financial aid applicants)
- Nonrefundable International Fee - $250 (outside US only)
Financial Aid is available
We are committed to serving all talented youth regardless of financial circumstances. Financial assistance is available based on need.
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.