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This Sum of Rational and Irrational is Irrational activity also includes:
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Sometimes the indirect path is best. Scholars determine whether the sum of a rational number and an irrational number is irrational. Reading a transcript of a conversation between classmates leads to an indirect proof of this concept.
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Instructional Ideas
- Use the resource as a group discussion prompt
Classroom Considerations
- It is helpful if learners have had previous experience with proof techniques
- Pupils must also be familiar with the definition of a rational number
Pros
- Includes some related mathematics tasks to consider using with the class
- Provides reflection questions for instructors
Cons
- None