Reasoning+and+Proof

====Through the use of reasoning, students learn that mathematics makes sense. -National Council of Teachers of Mathematics ====

Characteristics and Properties:
====3. Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, inductive and deductive reasoning, and paragraph or two-column proof, including:====

G. Understand the difference between a statement that is verified by mathematical proof, such as a theorem, and one that is verified empirically using examples or data.
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