Conditional Statements 9.3.2.2 Accurately interpret and use words and phrases in geometric proofs such as "if…then," "if and only if," "all," and "not."

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Presentation transcript:

Conditional Statements Accurately interpret and use words and phrases in geometric proofs such as "if…then," "if and only if," "all," and "not." Recognize the logical relationships between an "if…then" statement and its inverse, converse and contrapositive.

Guiding Question: Why should we have logical arguments? O Lesson Objective: I will be able to write a conditional statement and its converse O Logical arguments in mathematics are the basis for proof. O This translates into scientific research as all theories in science and math need to be based on given data and research.

Guiding Question: Why should we have logical arguments? How some students see math problems… Conditional Statement O A statement made in 2 parts using “if-then” form. O General Form: if (hypothesis) then (conclusion) O If p then q

Guiding Question: Why should we have logical arguments? Convert these into conditional (if-then) statements 1. All chickens lay eggs. 2. My uncle is tall. 3. Central is my high school. 4. Hamburgers are good. O If _____, then ______

Guiding Question: Why should we have logical arguments? O The converse of a statement means to switch around the hypothesis and the conclusion O Conditional Statement O If p, then q O Converse of Conditional O If q, then p O Write the converse of these. 1. If I am cold, then I put on a sweatshirt. 2. If there are clouds, it is cold. 3. If lunch is fish, then I won’t eat lunch.

Guiding Question: Why should we have logical arguments? O Convert these to conditional statements and then find the converse statements 1. When I am hungry I eat. 2. A frog is green. 3. Bears hibernate in the winter. 4. Seniors are older then freshmen.

Guiding Question: Why should we have logical arguments? O Assignment: Conditional and Converse WS.