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Understanding Conditional Statements: Elements, Converse, & Types in Logic

This lesson focuses on the fundamental aspects of conditional statements, often termed "if-then statements." Students will learn to identify the hypothesis and conclusion in these statements and explore the concepts of converse, inverse, and contrapositive. Engaging activities include a comic strip analysis related to conditional reasoning and independent problem-solving, culminating in a class poll. The learning goal is to ensure recognition and analysis of conditional statements in various contexts. A quiz will follow to assess understanding.

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Understanding Conditional Statements: Elements, Converse, & Types in Logic

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  1. 10/2/2014 Foundations:basic logic, writing skills Essential Question: What are the elements of a conditional statement? What is a converse? What does conditional mean? Homework:If-then Comic Strip Analysis

  2. Keep a Lookout: Work out the problem independently as we will take a class poll for the answer Work out the problem independently & then share your work with your partner Work together from the get-go

  3. Learning Goal #4: LOGIC Objective: Recognize and analyze a conditional statements

  4. Conditional Statements • Called “if-then statements.” • Hypothesis- The part following if. • Conclusion- The part following then. * Do not include if and then in the hypothesis and conclusion.

  5. Hypothesis and Conclusion • If it is sunny outside, then it is hot. Truth Values?

  6. you give Kfed money • he makes and awesome album Kfed: • If you give Kfed money, then he makes an awesome album. • Hypothesis- • Conclusion-

  7. The converse of a conditional statement is formed by exchanging the hypothesis and the conclusion. • Conditional- If it is sunny outside, then it is hot. • Converse- If it is hot, then it is sunny outside.

  8. NO HOMEWORK FOR A MONTH! NOT! • When you negate (“not”) the hypothesis and the conclusion of a conditional statement, you form the inverse. Example: Cond. Stmt: If is sunny outside, then it is hot. Inverse: If it is NOT sunny outside, then it is NOT hot.

  9. When you negate the hypothesis and conclusion of the converse of a conditional statement, you form the contrapositive. NOT!

  10. Example: Cond. Stmt: If it is sunny outside, then it is hot. Converse: If it is hot, then it is sunny outside. Contrapositive:If it is NOT hot, then it is NOT sunny.

  11. Sum it up for us: Conditional statement Converse Inverse Contrapositive

  12. Practice: Conditional Statements worksheet • QUIZ NEXT CLASS!! • Cartoon Due Next Class

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