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Math_Worksheet_Grade_7-2 — Understanding Ratios and Rates + 4 more topics

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

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Course Syllabus

  1. Understanding Ratios and Rates
  2. Proportional Relationships
  3. Analyzing Proportional Relationships in Tables
  4. Advanced Proportionality Applications
  5. Exam Preparation and Review

Study Notes

Proportional Relationships

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A proportional relationship exists between two quantities when one quantity is a constant multiple of the other. This means if you double one quantity, the other quantity also doubles. If you halve one, the other halves.

You can express a proportional relationship in a few ways:

  • Equation: y = kx
    • y and x are your two quantities.
    • k is the constant of proportionality. It's the number you multiply x by to get y.
  • Ratio: y/x = k
    • This shows that the ratio between y and x is always constant.
  • Graph: A straight line that passes through the origin (0,0).
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