Exploration Library

AI Exploration Coach BETA

We're developing an AI mentor that provides Socratic guidance for your Mathematical Exploration. Currently in beta testing with select schools.

Time to fall.

Drop an object from various heights and plot height versus time to …

Physics Quadratic Functions Kinematics +1

Parabolic Motion

Parabolic motion is the description of an object moving under the influence …

Parabolic Motion Physics Quadratic Functions +1

Sound Mirrors

Sound mirrors are a world war era site in the UK and …

Geometry Acoustics History +1

3D Geometry in a Roof

Investigate the geometry of this design.

Vectors 3D Geometry Architecture +1

Reuleaux Triangle in 3D

These three objects have constant width, meaning that when placed between two …

Geometry Constant Width Curves Engineering +1

The Mercator Map and Circles

What circles of increasing size centered around Paris, France really looks like …

Geometry Cartography Map Projections +1

The Mercator Map

How do we map spherical objects to 2D maps? - Explore the …

Geometry Cartography Map Projections +1

How fast are you moving?

Could you develop a mathematical model for this? - Explore the mathematical …

Physics Kinematics Rotation +1

Example Conversation

You wrote:

"I want to explore the mathematics of music because I play guitar."

AI Mentor:

"What specifically about playing guitar makes you curious about the mathematics behind it? Is it the tuning, the chord patterns, or something else?"

You wrote:

"I noticed that some chords sound good together and others don't."

AI Mentor:

"Interesting! Have you looked into the frequency ratios between notes in chords that sound harmonious vs. dissonant? What patterns might you expect to find?"

How It Helps

✓
Deepens Your Thinking
Asks questions that push you beyond surface-level ideas
✓
Never Gives Answers
Your work stays 100% authentic — the AI only guides
✓
Available 24/7
Get instant feedback as you write each section
✓
Teacher Visibility
Your teacher can see conversations to support you better

Free to start: Sign up to get 20 free AI prompts

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AI Exploration Coach BETA

Exploration Ideas

Time to fall.

Parabolic Motion

Sound Mirrors

3D Geometry in a Roof

Reuleaux Triangle in 3D

The Mercator Map and Circles

The Mercator Map

How fast are you moving?