Park City Mathematics Institute
Lesson Study

Conditional, Converse, and Bi-Conditional Statements, Oh My!
by Sousada Chidthachack, Corey Fink, Eric Flam, Greg Guayante, Dave Herron, Teri Hulbert, Alexandra Lee, Vicki Lyons, Leah Parnes

The lesson we developed and then taught was an introduction to conditional, converse, and bi-conditional statements. We pre-taught the first half of the lesson to a group of summer math camp students (8th - 12th grade) and then we taught the full lesson to a class of students at a junior high in Park City.

9 - 10

Geometry or Integrated 1

60 minutes


  • Individual whiteboards, markers, erasers (or just notebook paper and pencils)
  • Worksheets
  • Exit slip
  • Chart paper


  1. statements are true or false by creating examples and providing counterexamples when necessary.
  2. Students will be able to identify the original statements and switched statement using the language “conditional” and “converse”.
  3. Students will be able to create and evaluate bi-conditional statements.

A basic understanding of geometric properties and definitions

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IAS/Park City Mathematics Institute is an outreach program of the Institute for Advanced Study, 1 Einstein Drive, Princeton, NJ 08540
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With program support provided by Math for America

This material is based upon work supported by the National Science Foundation under DMS-0940733 and DMS-1441467. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.