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Warm up

Write the conditional, converse, inverse and contrapositive statements of the following, then determine the truth value of each: I will pick it if it’s in my nose. Conditional: Converse: Inverse Contrapositive:. Warm up. T. If it’s in my nose, then I will pick it. F.

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Warm up

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  1. Write the conditional, converse, inverse and contrapositive statements of the following, then determine the truth value of each: I will pick it if it’s in my nose. Conditional: Converse: Inverse Contrapositive: Warm up T If it’s in my nose, then I will pick it. F If I pick it, then it’s in my nose. F If it’s not in my nose, then I won’t pick it. F If I won’t pick it, then it’s not in my nose.

  2. It’s homework grading time.

  3. It’s Quiz Time You may use your notes if they are on the notebook you made on the first day.

  4. Let’s add just a bit to our notes on logic Today, we’re going to create a definition… also known as a biconditional statement Happy Biconditional Statement Day!

  5. A Biconditional Statementis a definition and must be true in conditional and converse form.p q Statement: Triangles are closed figures that have three straight sides. Conditional: If it is a triangle, then it is a closed figure with three straight sides. Converse: If it is a closed figure with three straight sides, then it is a triangle. What is the truth value? True What is the truth value? True Since both the conditional and converse are true, then we can write a biconditional: It is a triangle if and only if it is a closed figure with three straight sides.

  6. Let’s take a closer look. It is a triangle if and only if it is a closed figure with three straight sides. We do not use IF and THEN….. We use IF AND ONLY IF….. abbreviated as iff It is a triangle iff it is a closed figure with three straight sides.

  7. Let’s work through a couple of examples… Statement: Big dogs burp loudly. Conditional: If it’s a big dog, then it burps loudly. (what’s the truth value?) Converse: If it burps loudly, then it’s a big dog. (what’s the truth value?) Can we write a true biconditional? no Statement: Two lines intersect at a point. Conditional: If two lines intersect, they will meet at a point. (What is the truth value?) Converse: If two lines meet at a point, they have intersected. • (What is the truth value?) • Can we write a true biconditional? • Two lines intersect iff they meet at a point.

  8. Tools of the trade Straight edge Calculator Compass Patty Paper Please go get one of each Protractor

  9. We will work through some pages in my book to show examples of how we use each tool.

  10. Your assignment Worksheets 1-5; pgs 21-25

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