1 / 17

Understanding Conditionals in Logic: Exploring Euler Diagrams and Logical Arguments

This section introduces the concept of conditionals in logic. Students will learn to define conditionals, use them in logical arguments, model them with Euler diagrams, and create converses. The instruction emphasizes the structure of conditionals through various examples, such as "If a car is a Corvette, then it is a Chevy," and expands into logical chains connecting multiple conditionals. Through engaging exercises and practical applications, students will enhance their understanding of relationships in logic and geometry, preparing them for critical reasoning tasks.

lali
Télécharger la présentation

Understanding Conditionals in Logic: Exploring Euler Diagrams and Logical Arguments

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Section 2.2 An Introduction to Logic

  2. Objectives: • wSWBAT define conditionals and • model them with Euler diagrams • wUse conditionals in logical arguments • wForm converses of conditionals • wCreate logical chains from • conditionals

  3. All Corvette’s are Chevy’s. corvette Rewrite the statement as a conditional statement. chevy If a car is a Corvette, then it is a Chevy.

  4. If a car is a corvette , then it is a chevy. Hypothesis Conclusion

  5. Let's say Mr. Amsler's car is a corvette. Where would it go in the Euler diagram? Corvette Chevy

  6. What if it was a chevy, but not a corvette? Corvette Chevy

  7. What if he drove a Ford? Corvette Chevy

  8. rectangle rhombus quadrilateral square

  9. Geometry Students Students in 9th Grade Students wearing glasses

  10. Conditional If it is a dog , then it is a cat. Converse If then

  11. You Try! Conditional: If a triangle is equilateral, then it is isosceles. Converse: If a triangle is isosceles, then it is equilateral.

  12. Logical Chains! If a, then b. If b, then c. If c, then d. If d, then e. If e, then f. If f, then g. What is your conclusion???

  13. Let's try another If sirens shriek, hen mice frisk. If mice frisk, then cats freak. If cats freak, then dogs howl. Conclusion? If sirens shriek, then dogs howl.

  14. If <AXB and <BXD form a linear pair <AXB and <BXD are supplementary m<BXC + m<CXD = 90 then <AXB and <BXD are supplementary. then m<AXB + m<BXD = 180 then m<AXB = 90

  15. What Have We Learned to • Model conditionals using Euler diagrams • Use conditionals in logical arguments • How to write the converse of a conditional • Create logical chains from conditionals

  16. Geometric Philosophy Saying: May you find success as you angle for that square deal that will land you in the eternal triangle of life where those who walk the line always get to the point.

More Related