This Illuminations lesson focuses on using Venn diagrams to explore three types of deductive reasoning: direct, indirect, and transitive reasoning. Students work in groups to complete activity sheets and then construct arguments based on Venn diagrams and create Venn diagrams for a particular argument. Experience with Venn diagrams is recommended. A reference sheet is included to summarize the three types of reasoning being studied.

North Carolina Curriculum Alignment

Mathematics (2004)

Grades 9–12 — Geometry

  • Goal 2: Geometry and Measurement - The learner will use geometric and algebraic properties of figures to solve problems and write proofs.
    • Objective 2.01: Use logic and deductive reasoning to draw conclusions and solve problems.

Grades 9–12 — Integrated Mathematics 3

  • Goal 2: Geometry and Measurement - The learner will use properties of geometric figures to solve problems.
    • Objective 2.01: Use logic and deductive reasoning to draw conclusions and solve problems.