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About This Course

Welcome to Geometry!

Hi there! I'm GeoWise, your guide through this geometry course. Whether you're exploring angles for the first time or diving into circle theorems, I'll be here to help you every step of the way. Let's figure this out together!

Why Geometry Matters Now More Than Ever

Geometry is one of the most widely studied subjects in mathematics education worldwide. Here are some statistics that demonstrate its reach:

In the United States (2026 projections):

  • Approximately 3.5 million high school students take geometry each year[^1]
  • Geometry is a required course in nearly every U.S. state for high school graduation[^2]
  • Over 95% of high schools offer geometry, making it far more accessible than advanced math courses[^1]
  • Students who complete geometry are significantly more likely to succeed in higher-level STEM courses[^3]

Worldwide:

  • An estimated 20 million students study geometry globally each year
  • Geometry serves as a foundation for fields including architecture, engineering, computer graphics, robotics, and data visualization

These numbers represent millions of students working to master the same concepts you'll learn in this course. You're joining a global community of learners building the spatial reasoning skills that are essential for understanding the physical world.

GeoWise Says

Did you know that traditional geometry textbooks at many US high schools cost between $80 and $150?[^4] That's a lot of angles to cover before you even open the book! And here's the real kicker — those expensive books don't even have interactive MicroSims to help you see what's happening.

I believe every student deserves access to high-quality geometry education, regardless of their budget. That's why this entire textbook is free and open source, with over 100 interactive simulations that let you explore geometry concepts hands-on. No paywalls, no access codes, no "edition 12 with slightly rearranged homework problems."

Let's figure this out together!

Learning Through Interactive Visualization

This course takes a fundamentally different approach to teaching geometry. Instead of staring at static diagrams, you will build deep intuition through interactive MicroSimulations. These browser-based visualizations let you experiment with angles, transformations, constructions, and proofs in real-time.

Drag vertices to see how triangle properties change dynamically. Watch parallel lines create angle relationships before your eyes. Explore how circles intersect and generate beautiful theorems. Manipulate 3D solids and discover how surface area and volume scale with dimensions. These are not passive animations — they are hands-on laboratories where you control the parameters and discover the concepts yourself.

You Will Have Fun

Yes, you read that right. This course is designed to be genuinely enjoyable. The MicroSims turn abstract concepts into interactive playgrounds. The connections to real-world applications in architecture, art, engineering, and nature give every topic immediate relevance. And the satisfaction of truly understanding why geometric relationships work is deeply rewarding.

Whether you aspire to design buildings, create computer graphics, build robots, understand the natural world, or simply want to develop strong spatial reasoning skills — this course will give you the tools, the intuition, and the confidence to succeed.

Let's explore the beauty of geometry together!

Background

The concepts covered by this book were generated by the following prompt:

Prompt

What standard organizations describe the concepts that should be covered in a high-school Geometry course that would align with Common Core State Standards and maximize preparation for advanced mathematics?

Our tools have matured significantly since January 2025 when we first started using AI to generate textbooks. This version of our intelligent textbook was generated using Claude Code Skills. We put a strong focus on creating high-quality MicroSims that bring abstract geometric concepts to life.

— Dan McCreary

References

[^1]: National Center for Education Statistics. High School Course-Taking Patterns. NCES.

[^2]: Education Commission of the States. High School Graduation Requirements. ECS State Policy Database.

[^3]: Mathematical Association of America. The Role of Geometry in STEM Preparation. MAA Publications.

[^4]: National Association of College Stores. Average textbook pricing data. NACS Research.