1. 3.1 Inductive and Deductive Reasoning Warm-up (IN) Learning Objective: to use deductive reasoning to reach conclusions, make a convincing argument, and recognize valid and invalid arguments. 1. What comes next in each pattern? a. b. 2. All people who bought tickets before 7 p.m. got good seats. Ty bought his ticket at 6 p.m. Did he get a good seat? 3. If the butler did it, he would have mud on his shoes. There is no mud on his shoes, and he has only one pair of shoes. Did the butler do it? 4. People who eat undercooked hamburgers may get sick. Mrs. Lura ate a hamburger and didn’t get sick. Was the hamburger undercooked? 32 yes no Not possible to say 243

2. Ex 1 - Notes Tell whether the argument uses inductive or deductive reasoning. Using facts, definitions, and accepted properties in a logical order to reach a conclusion a. Find the next step in the pattern b. If the pizza is overcooked, then the oven was too hot or the pizza was left in the oven more than 10 minutes. The pizza is overcooked after being taken out of the oven in 9 minutes. The oven was too hot. inductive deductive Deductive Reasoning - ?

3. c. Jonah is taller than Emily and Matt is shorter than Emily. Who is taller, Jonah or Matt? deductive Checking Key Concepts – p. 113 Syllogism – A form of deductive reasoning consisting of a major premise, a minor premise, and a conclusion.

4. Witch Trial If she is a witch, thenshe will burn. p q If she burns, thenshe is made of wood. q r If she is made of wood, then she will float. r s If she floats, then she weighs the same as a duck. s t

5. conclusion If she is a witch, then she weighs the same as a duck. p t **An entire syllogism is false if even one of the steps has a counterexample. So…make sure each step is always true! Logic puzzle!

6. HW – p. 114-116 #1-15, 21-23 Out – Explain the difference between inductive and deductive reasoning. Summary – I understand… OR I’m confused about… Challenge Probs. For EC…