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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
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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
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Objective: Recognize and analyze a conditional statements
Learning Goal #4: LOGIC Objective: Recognize and analyze a conditional statements
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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.
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Hypothesis and Conclusion
If it is sunny outside, then it is hot. Truth Values?
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Kfed: you give Kfed money he makes and awesome album Hypothesis-
If you give Kfed money, then he makes an awesome album. Hypothesis- Conclusion-
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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.
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* 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.
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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.
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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.
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When you negate the hypothesis and conclusion of the converse of a conditional statement, you form the contrapositive. NOT!
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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.
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Sum it up for us: Conditional statement Converse Inverse
Contrapositive
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QUIZ NEXT CLASS!! Cartoon Due Next Class Practice:
Conditional Statements worksheet QUIZ NEXT CLASS!! Cartoon Due Next Class
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