Rate Change Tutor

Live

Say what confuses you about rate of change, then learn it by chatting and moving the graphs yourself.

musemuse-rate-change-tutor.vercel.appOpen

Get it

Connect it to any app that speaks MCP. It has 3 tools: start_tutoring_session, respond_and_adapt, generate_practice_check. No sign-in.

Muse app: add this URL as a custom connector.
Claude Code: claude mcp add --transport http rate-change-tutor https://muse-muse.vercel.app/api/mcp/rate-change-tutor
Anything else: add it as a remote server over streamable HTTP.

What was checked

Checked by code

Each line is what the check ran on, and no more.

Passed Typecheck · Nov 1, 2026
Passed Build · Nov 1, 2026
Passed The built app starts · Nov 1, 2026
Passed No errors in the browser console · Nov 1, 2026
Passed Smoke test of the main flow · Nov 1, 2026
Passed Its manifest is valid · Nov 1, 2026

Judged by a model

This is a model's opinion, not proof.

Passed A model's opinion of the screenshots, against the brief · Nov 1, 2026

Not checked

Nothing here should be taken as tested.

Not checked Whether its answers are true
Not checked ChatGPT: only a person with an account can test it
Not checked Installing the Claude plugin or the Muse gadget pack on a real device
Not checked No Prove it run: nothing it comes with was run for real

The muse

A math class assignment where a student states what confuses them about rate of change, chats with a tutor, and must move interactive graphs before advancing.

Took from it

The core assignment job: a student states what they are struggling with about rate of change.
A chat based tutoring flow that responds to the stated struggle instead of giving a fixed lesson.
Visuals the student must interact with, not just look at, before moving on.
A classroom assignment feel, with a clear end product the student can show a teacher.

Left out

Models

Muse WonderRuns the tutoring chat, diagnoses the stated struggle, creates scenarios and graph data, judges explanations, and writes practice feedback and the final summary

Cost per run: $0.09 est.
Runs so far: 95 calls · 148k tokens · $2.44
Build cost: $5.90 est.

Limits

This covers introductory rate of change: average rate, slope, interpreting tables and graphs, units, and steepness on curved graphs. It does not teach a full calculus course or derivatives beyond a simple tangent idea.
Feedback is tutoring help, not an official grade. The teacher should review the final summary before using it for marks.
Worked answers are generated and checked step by step in the app, but a student should still show their own reasoning in class.
There are no student accounts or teacher dashboard. A session stays in the browser and the summary must be copied or downloaded before the tab is closed.
The tutor will not just hand over homework answers without the student trying the interactive step first.

Muse app connector

Add it in the Muse app as a custom connector. It exposes 3 actions: start_tutoring_session, respond_and_adapt, generate_practice_check.

Recorded demo

How it was built

Muse Code made 95 tool calls and 41 edits across 41 files (+402 −55).
npm run verify passed after 3 fix rounds.
Screenshot judge: pass. The final screen shows the completed practice check with correct worked feedback and a copyable teacher summary.
Built in 24 min for about $5.90 in model calls (est.).
How it was built: 95 tool calls, 41 edits touching 41 files { Read text file `fixtures/sample-1.txt`. Read text file `fixtures/sample-2.txt`. Read text file `fixtures/sample-3.txt`. Read text file `app/layout.tsx`. Read text file `app/page.tsx`. Read text file `app/globals.css`. Read text file `lib/meta/client.ts`. Read text file `lib/meta/json.ts`. <read-skill-result name="muse-app-ui" status="ok"> <read-skill-result name="meta-reasoning" status="ok"> <read-skill-result name="product-ui" status="ok"> <read-skill-result name="verify" status="ok"> { Read text file `tests/smoke.spec.ts`. Read text file `lib/meta/text.ts`. Read text file `components/Skeleton.tsx`. Read text file `playwright.config.ts`. {