intermediate

Proportional Parts — Introduction to Ratios and Proportions + 5 more topics

Comprehensive AI-generated study curriculum with 2 detailed note modules.

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Course Syllabus

  1. Introduction to Ratios and Proportions
  2. Direct Proportion
  3. Inverse Proportion
  4. Compound Proportions and Combined Variations
  5. Applications of Proportional Parts
  6. Advanced Proportional Reasoning and Problem Solving

Study Notes

Direct Proportion

Direct proportion is when two quantities, let's call them 'A' and 'B', are linked such that if A increases, B increases by the same factor, and if A decreases, B decreases by the same factor. Think of it as a constant ratio or a consistent scaling.

Mathematically, we write this as:
$A \propto B$

This "fish" symbol ($\propto$) means "is directly proportional to". To turn this into an equation we can work with, we introduce a constant of proportionality, usually 'k':

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