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This Inverses of Logarithmic and Exponential Functions lesson plan also includes:
- Teacher Version (.docx)
- Student Version (.pdf)
- Student Version (.docx)
- Precalculus Module 3: Teacher Materials (.pdf)
- Precalculus Module 3: Student Materials (.pdf)
- Precalculus Module 3: Copy Ready Materials (.pdf)
- Precalculus Module 3 (.html)
- Assessment
- Answer Key
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Revisit the relationship between logarithms and exponentials. Learners review the notion of logarithms as the way to solve exponential equations in the 21st segment in a Pre-calculus series of 23. Pupils use the knowledge to prove that exponentials and logarithms are inverse functions of each other. They continue working with the natural logarithm and the irrational number e.
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Instructional Ideas
- Use the opening exercise to determine whether additional review of the relationship between logarithms and exponentials is necessary
Classroom Considerations
- Assumes the class understands the relationship between logarithmic and exponential functions
- Requires knowing how to determine and verify inverses
Pros
- Contains answer keys with details of the steps used to arrive at the solution
- Provides suggestions for struggling learners
Cons
- None