Foundations: basic logic, writing skills

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Presentation transcript:

Foundations: basic logic, writing skills 3/25/2017 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

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

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

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.

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

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

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.

* TRUTH VALUE? Conditional- If a figure is a square, then it has four sides. Converse- If a figure has four sides, then it is a square. * Not all four sided figures are squares. Counterexample: Rectangles also have four sides.

Rewrite the statement as a conditional statement, then find the converse. All teenagers are lazy. Conditional- Converse- If you are a teen, then you are lazt. If you are lazy, then you are a teen.

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.

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

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.

Sum it up for us: Conditional statement Converse Inverse Contrapositive

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