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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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Understanding fractions (age 9+)

Mathematics · Fractions · conceptual

Understand a fraction a/b with a > 1 as a sum of fractions 1/b (e.g. 3/5 = 1/5 + 1/5 + 1/5)

What mastery looks like

  • Express 5/8 as a sum of five copies of 1/8
  • Show on a number line how 4/3 is built by iterating 1/3 four times
  • Explain why 7/4 = 1/4 + 1/4 + 1/4 + 1/4 + 1/4 + 1/4 + 1/4

Check your understanding

If you ask Understanding fractions (age 9+) to show 4/5 as a sum of smaller equal fractions, can they write it out as 1/5 + 1/5 + 1/5 + 1/5?