The Graph of the Natural Logarithm Function

If two is company and three's a crowd, then what's e? Scholars observe how changes in the base affect the graph of a logarithmic function. They then graph the natural logarithm function and learn that all logarithmic functions can be described as transformation of this function.

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CCSS: Designed
Instructional Ideas

  • Allow the class to choose their own base in addition to those listed in the lesson
Classroom Considerations

  • Lesson requires knowledge of the change of base formula and transformations of logarithmic functions covered in previous lessons
  • Provide learners with graphing calculators to investigate the graphs of logarithmic functions of different bases
Pros

  • Teacher guide includes scaffolding tips, including those for English language learners
  • By highlighting mathematical practices, the resource lets teachers know they should pay attention to these practices during instruction
Cons

  • None