The Language of Proof and Logic · Geometry & Logic

Conditional Statements and Logic

Exploring the structure of mathematical arguments through if-then statements, converses, and contrapositives.

Key Questions

  1. 1How does the truth value of a statement change when its hypothesis and conclusion are swapped?
  2. 2Why is a single counterexample sufficient to disprove a universal mathematical claim?
  3. 3In what ways does formal logic prevent errors in mathematical modeling?

Common Core State Standards

CCSS.Math.Content.HSG.CO.C.9CCSS.Math.Content.HSG.CO.C.10
Grade: 10th Grade
Subject: Mathematics
Unit: The Language of Proof and Logic
Period: Geometry & Logic

Suggested Methodologies

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