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.

Concepts

logarithms, logarithms natural, logarithmic functions, graphing functions

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Additional Tags

math

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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

Common Core

HSF-IF.B.4 HSF-IF.C.7.e MP1 MP3 MP7 MP8