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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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Fluent addition and subtraction (age 9+)

Mathematics · Addition & Subtraction · procedural

Fluently add and subtract whole numbers with more than four digits using the standard columnar algorithm

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What mastery looks like

  • Calculate 34,567 + 28,945 using columnar addition
  • Calculate 500,000 − 234,178 using columnar subtraction with multiple exchanges
  • Add three five-digit numbers in a single column layout

Check your understanding

Can Fluent addition and subtraction (age 9+) accurately add or subtract large numbers — like '23,846 + 14,579' — using the column method, carrying and borrowing correctly however many columns it takes?

Prerequisites

Required first

Unlocks (2 directly)