Scholars learn how to write number theory proofs by viewing a video reviewing techniques for proofs on divisibility, parity, and consecutive integers. They then write proofs for a handful of conjectures on a worksheet.

Concepts

proofs, number theory, conjecture, counterexample

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Additional Tags

math

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Instructional Ideas

• Have learners work in pairs on the worksheet
• Assign the worksheet as classwork

Classroom Considerations

• Note that the proofs are all algebraic proofs involving number theory

Pros

• Ample space given in worksheet for algebraic proofs
• Solutions are provided for each problem
• Video tutorial demonstrates how to write proofs

Cons

• Directions are inconsistent regarding the use of calculators

Common Core

HSA-APR.A.1