Direct and Inverse Variations

Enhance pupil understanding of proportions and variable relationships by studying direct and inverse variation. Use the idea of a proportional relationship to teach direct variation. Then use a similar pattern to help individuals understand inverse variation. 

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CCSS: Adaptable
Instructional Ideas

  • Use the second example as an opener and allow pupils to develop strategies to determine a solution
  • Compare and contrast direct and inverse variation with your classes
Classroom Considerations

  • Builds from the previous lesson in this series on proportions
  • The lesson concludes an 11-part series on fundamental algebraic concepts
Pros

  • Uses real-life application to build the concept of variation
  • Provides a set of practice problems that includes a problem-solving section
Cons

  • Moves quickly to the formula for direct and inverse variation before developing an understanding of the concept
Common Core