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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

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Mastered Ready to learn LockedHover a node for its description · click to open
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Choosing Maths Tools

Mathematics · Mathematical Thinking · meta

Select and use tools and representations strategically: choose between mental methods, formal written methods, algebraic approaches, coordinate grids, and technology based on the demands of the problem

What mastery looks like

  • Explain why long division is more appropriate than mental methods for 4,752 ÷ 13
  • Choose a coordinate grid approach to verify a translation rather than computing from a description alone
  • Select a formula-based approach rather than counting cubes to find volume efficiently

Check your understanding

When Choosing Maths Tools chooses how to tackle a maths problem, do they pick the most efficient approach — using algebra for a complex generalisation, a coordinate grid for a geometry problem, or mental arithmetic for a simple calculation?