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This Irrational Exponents—What are 2^√2 and 2^π? lesson plan also includes:
Extend the concept of exponents to irrational numbers. In the fifth installment of a 35-part module, individuals use calculators and rational exponents to estimate the values of 2^(sqrt(2)) and 2^(pi). The final goal is to show that the domain of exponential functions is all real numbers.
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CCSS:
Designed
Concepts
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Instructional Ideas
- Assign the problem set as homework
Classroom Considerations
- Learners should be able to write terminating decimals as fractions and understand the difference between rational and irrational numbers
- The class also needs to have experience with sequences and limits
Pros
- Includes guided questions for promoting discussion
- Lesson incorporates different aspects of mathematics such as sequences, limits, irrational numbers, etc.
Cons
- None