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Education Concept Tracker

A prerequisite knowledge graph of 1590 learning concepts across 8subjects. Track what you've mastered and see exactly what you're ready to learn next — the topics whose prerequisites you've already met. Built on the Marble Open Skill Taxonomy.

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Knowledge-graph map

Computing
Mastered Ready to learn LockedHover a node for its description · click to open
Computers in Everyday L…Computers in Everyday Life — frontier Identifying computers in everyday life — not just laptops but phones, tablets, smart speakers, traffic lights, washing machines; what makes something a computerReal-World RobotsReal-World Robots — locked What a robot really is — not the sci-fi version; robots in factories, robot vacuum cleaners, robot arms in surgery; that robots follow instructions given by peopleSmart Versus Not-Smart…Smart Versus Not-Smart Devices — locked Sorting objects into 'smart' (can sense and respond) and 'not smart' (just sits there); a toaster vs a smart speaker; introduction to the idea that some machines can sense and respond to the worldStep-by-Step Instructio…Step-by-Step Instructions — locked Step-by-step instructions for everyday tasks (making a sandwich, brushing teeth); that if instructions are wrong or missing, things go wrong; computers follow instructions exactly
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Justifying mathematical reasoning (age 8+)

Mathematics · Mathematical Thinking · meta

Construct and present multi-step mathematical arguments; critique the reasoning of others and explain clearly why a method works or fails

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What mastery looks like

  • Explain why 1/3 > 1/5 using the idea that more parts means smaller pieces
  • Find and explain an error in a peer's column subtraction with exchanges
  • Present a chain of reasoning: since 6×8=48 and 6×2=12, then 6×10=60 so 6×8=60−12=48

Check your understanding

If a classmate claims "you can't multiply a fraction and get a bigger answer", can Justifying mathematical reasoning (age 8+) think through whether that's always true — and give an example to support or challenge the claim?

Prerequisites

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