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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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Properties of Operations

Mathematics · Multiplication & Division · conceptual

Apply properties of operations (commutative, associative, distributive) as strategies to multiply and divide

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What mastery looks like

  • Use commutativity: if 6 × 4 = 24 then 4 × 6 = 24
  • Use the distributive property: 8 × 7 = 8 × 5 + 8 × 2 = 40 + 16 = 56
  • Use associativity to multiply three numbers: 2 × 3 × 5 = 6 × 5 = 30

Check your understanding

Can Properties of Operations use tricks like breaking up a number — working out '6 × 14' as '6 × 10 + 6 × 4 = 60 + 24 = 84' — to make multiplication easier?

Prerequisites

Required first

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