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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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Ratio Notation and Relationships

Mathematics · Ratio & Proportion · conceptual

Understand that a multiplicative relationship between two quantities can be expressed as a ratio; use ratio notation; simplify ratios

What mastery looks like

  • Explain why 'for every 2 red beads there are 5 blue beads' can be written as 2:5 or as 2/5 of the blue count
  • Identify the multiplicative relationship in a table of values (e.g. y is always 3 times x)
  • Connect the ratio a:b to the fraction a/b and to the linear function y = (a/b)x

Check your understanding

Can Ratio Notation and Relationships explain why a ratio like 3:4 is really the same as the fraction ¾ — and show how that relationship connects to a straight-line graph through the origin?