The Inverse Relationship Between Logarithmic and Exponential Functions

Introducing inverse functions! The 20th installment of a 35-part lesson plan encourages scholars to learn the definition of inverse functions and how to find them. The lesson plan considers all types of functions, not just exponential and logarithmic functions.  

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CCSS: Designed
Instructional Ideas

  • Have the class create a chart summarizing relationships (e.g., inverse of an exponential function is logarithmic, inverse of a linear function is linear, etc.)
Classroom Considerations

  • Teacher guide indicates that the lesson could be split over two days, as pupils have not previously encountered inverse functions
  • Learners should have previous knowledge of domain and range, transformations of graphs, function notation, compositions, etc.
Pros

  • Inverses are considered using a variety of representations such as mappings, graphs, equations, and ordered pairs
  • Teacher guide contain questions to generate classroom discussion
Cons

  • None