Homeschool Geometry Curriculum, 12-Week AI Tutor Guide for Teens Ages 12-16, Angles, Area, Triangles, Circles, Volume, PDF
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Highlights
Geometry is spatial reasoning you can see and build (shapes, angles, area, and why the rules are true), not formulas to memorize the night before a test. This is a done-for-you, 12-week plan for guiding a 12-16-year-old from "what even is geometry" to a real project they measure and build themselves, using an AI tutor that makes them predict, fold, and measure before it ever hands over a formula. You do not need to remember your own geometry class.
WHAT YOU GET
• A "Never used an AI chat assistant? Start here" onboarding that takes a complete beginner from zero to ready in about five minutes (no paid plan needed, any free AI assistant works).
• Four rescue prompts in the front matter for when a session stalls, the learner is frustrated, bored, or the AI goes off track.
• 12 deep weekly sessions, each built to run in one sitting of about 60 minutes: a plain-language concept, a concrete worked example, a minute-by-minute session plan, copy/paste AI-tutor prompts at every step, a "show me" checkpoint (usually a real measurement or a real fold, cut, or build), common mistakes to watch for, and practice.
• A digital guide, not a printable workbook: everything you need to run the session is written out for you, prompts included, so no expertise or prep is required.
THE 12 WEEKS
1. Geometry Is Everywhere You Look: a curious, friendly diagnostic
2. Points, Lines, and Angles: The Building Blocks
3. Shapes and Their Properties
4. Perimeter and Area: why the formulas actually work
5. Triangles and the Special Ones: the 180-degree rule, discovered
6. Circles: Round Without Corners (finding pi by hand)
7. Symmetry and Transformations
8. Volume and 3D Shapes: from flat nets to filled boxes
9. A First Taste of Proof: why it must be true, not just why it worked
10. Project Week I: Plan a Real Geometry Build
11. Project Week II: Measure and Build It
12. Demo Day: show the geometry, choose what's next
WHO IT'S FOR
Parents, teachers, and homeschoolers guiding a learner aged roughly 12-16 who is ready to see geometry instead of memorizing it, whether they're ahead, behind, or just bored of formulas with no reason attached. No geometry background needed on your part, and no prior AI experience either; you lead one fully scripted ~60-minute session each week, with every step timed and every AI prompt written for you.
WHY THIS INSTEAD OF A FREE CHATBOT
A raw chatbot will happily hand your learner the formula and the final answer, which teaches nothing about why the formula is true. This pack ships the structure a chatbot lacks: a real 12-week arc that builds every rule from something the learner folds, cuts, or measures first; Socratic prompts that make the tutor ask before it tells; a guardrail that keeps it from just handing over the formula; and checkpoints that prove the learner can show it, not just repeat it. Curriculum + guardrails + a way to see progress. That's the difference.
FAQ
• Do I need to remember my own geometry class? No. The AI tutor explains and questions; you lead. Every session comes with the exact prompt to start it.
• Which AI does it use? Any modern AI assistant: ChatGPT, Claude, Copilot, or Gemini. Free versions are enough; no paid plan needed. The guide's first section walks complete beginners through setup in about five minutes.
• Is my child's data collected? No. This is a digital guide sold to you, the adult. There's no login and no child account; you start and supervise every AI session yourself, under your own account.
• What ages? Roughly 12-16. Age-banded variants are on the roadmap.
• Refunds? Standard marketplace refund policy applies.
WHAT'S IN THE DOWNLOAD
• geometry-guide.pdf: the full 12-week guide, easy to read on any phone, tablet, or computer
• geometry-ai-copy.md: the same guide as plain text, to hand straight to your AI chat assistant
• Placement check (Where's Your Geometry?): a 15-minute AI chat that scores where your learner stands and names the week to start at, as a prompt to paste and a printable card
• READ-ME-FIRST.txt: which file is which
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