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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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Commutative Multiplication

Mathematics · Multiplication & Division · conceptual

Understand and apply the commutative property of multiplication and recognise that division is not commutative

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What mastery looks like

  • Explain that 3 × 5 = 5 × 3 and show this with an array rotated
  • Use commutativity to choose the easier calculation
  • Demonstrate that 12 ÷ 3 ≠ 3 ÷ 12

Check your understanding

Does Commutative Multiplication know that 4 × 7 gives the same answer as 7 × 4 — so they can choose whichever order is easier to remember from their times tables?

Prerequisites

Required first

Helpful

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