prd

A product requirements document for a GeoGebra integration. GeoGebra is mathematical software for creating interactive graphs, geometry constructions, and other visual models.

In plain words
What is it for?
Planning or understanding an AI tool that creates and analyzes mathematical visualizations and constructions.
Why use it?
It describes the intended users, problem, and capabilities of an assistant that works with GeoGebra.

Cursor rule for Cursor

Install

Getting it into your agent

One page per mod, every tool's command on it. A separate URL per tool would split the same page into five that compete with each other.

agentmods
npx agentmods add rules/kms9/ggb-web-mcp/prd
Clone the repo
git clone --depth 1 https://github.com/kms9/ggb-web-mcp

Made for: Cursor.

Per session 2,007 This file is loaded in full into every session.
When invoked 2,007 The same file — it is already loaded in full.
Security scan A 0 findings. Scan, not verified.
Origin original No closer match found in the catalogue.
Token cost

What it costs to keep this loaded

Counted locally with the o200k_base tokenizer, which is exact for GPT models; Claude uses its own tokenizer and its counts differ. Treat this as one consistent yardstick across the catalogue rather than a bill. Prices are per million input tokens.

ModelPer sessionOnce invoked
Fable 5 $0.02007 $0.02007
Opus 5 $0.01004 $0.01004
Sonnet 5 $0.00401 $0.00401
Haiku 4.5 $0.00201 $0.00201

Measured yesterday against content hash b350477aaa73, method: parsed. Prices are Anthropic first-party input rates as of 2026-08-30, from the pricing page.

Security

Grade A, and why

prd scanned grade A with 0 findings against 26 rules in 11 categories — prompt injection, anti-refusal, data exfiltration, privilege escalation, supply chain, agent snooping, system-prompt leakage, SSRF and excessive agency — measured yesterday.

A static scan of the body, not an audit. Every finding is printed with the line that produced it so you can judge whether it matters here. A mod is markdown that instructs an agent; that is exactly why what it instructs is worth reading.

Nothing flagged

None of the 26 patterns this scan looks for appear in this file: no shell pipes, no recursive deletes, no credential paths, no hidden text, no instruction-override or anti-refusal phrasing, no agent-config snooping. That is not a guarantee, it is the absence of the things that are checkable.

.cursor/rules/prd.mdc · 185 lines

How it starts

The opening of the file, as written. The whole thing — 185 lines — stays where its author put it; the contents beside it link to each section on GitHub.

Product Requirements Document: GeoGebra MCP Tool

Product Overview

The GeoGebra MCP Tool is a Model Context Protocol server that enables AI models to interact with GeoGebra's mathematical software suite. This tool allows AI assistants to create, manipulate, and analyze mathematical constructions, graphs, and geometric objects through GeoGebra's comprehensive API, bringing dynamic mathematical visualization capabilities directly into AI conversations[1][2].

Problem Statement

Current AI models excel at mathematical reasoning and problem-solving but lack the ability to create interactive mathematical visualizations and dynamic constructions. Students, educators, and researchers need AI assistants that can not only solve mathematical problems but also generate visual representations, interactive graphs, and geometric constructions that enhance understanding and exploration of mathematical concepts.

Target Users

Primary Users:

  • Mathematics Educators: Teachers who want AI assistance in creating interactive lessons and visual demonstrations
  • Students: Learners who need AI help with mathematical problem-solving that includes visual components
  • Researchers: Academics requiring dynamic mathematical modeling and visualization

Secondary Users:

  • Educational Content Creators: Developers building AI-powered educational platforms
  • Tutoring Applications: AI tutoring systems that need mathematical visualization capabilities

Product Goals

Primary Objectives

  • Enable AI models to create and manipulate GeoGebra constructions programmatically
  • Provide seamless integration between natural language mathematical requests and visual outputs
  • Support real-time mathematical exploration and hypothesis testing through AI

Success Metrics

  • Adoption Rate: 1,000+ active MCP server instances within 6 months
  • User Engagement: Average of 50+ tool calls per active user per month
  • Educational Impact: 80% of educator users report improved student engagement
  • Technical Performance: <2 second response time for construction creation

Read the full file on GitHub · 185 lines

Changes

What this file has done since we first saw it

Hashed on every crawl. A supply-chain change to an agent config is a question of when, not whether, so the history is kept rather than the latest state alone.

  1. yesterday First seen · 185 lines · 2,007 tokens per session scan A b350477aaa73

Subscribe to this mod's changes

prd is a cursor rule published in the GitHub repository kms9/ggb-web-mcp (0 stars, last pushed 6mo ago), licensed MIT. It adds 2,007 tokens to every session, about $0.0100 per session on Opus 5. A static security scan graded it A with 0 findings. No closer match exists in the catalogue, so it is treated as the original; first seen 2026-08-31.