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Grade 7 Math Lab: The Algebraic Pivot FREE

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Proportional Relationships

50 min Grade 7 Math Lab: The Algebraic Pivot

Learning Objectives

  • Identify proportional relationships
  • Calculate constant of proportionality
  • Graph proportional data

Key Concepts

Proportional Relationship

y = kx where k is constant

Constant of Proportionality

The ratio k = y/x that stays the same

Theory

**Proportional relationships** pass through the origin (0, 0) and have a constant ratio y/x = k. **Equation:** y = kx **How to identify:** - Table: All y/x ratios are equal - Graph: Straight line through origin - Equation: y = kx form (no added constant)

Examples

Is y = 3x + 1 proportional?

Solution: No — it doesn't pass through (0,0) because of the +1