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2.1 Inductive Reasoning and Conjectures Monday, September 2, 2013 3:30 PM Homework: 2.1 #11-13, 16-22, 31 VocabularyInductive reasoning Conjecture Agenda Identifying Patterns Find a Counter Example Counter example Bell Ringer 1. Check Out That Test Identifying Patterns Inductive reasoning- coming to a conclusion by recognizing a pattern in some data. Conjecture- the conclusion you come to by inductive reasoning. Directions: Make a conjecture about each situation. Find the next item in each pattern. 1. Monday, Wednesday, Friday,… 2. 3, -6, 12, -24, 48,… 3. Find a Counter Example Counter example Erroneous Directions: Show that each conjecture is false by providing a counter example. 4. For all positive numbers n, 5. For any three points in a plane, there are three different lines that contain two of the points. Chapter 2 Page 1 5. For any three points in a plane, there are three different lines that contain two of the points. 6. The temperature in Abilene, Texas, never exceeds 100° during the spring months (March, April, May). Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec 88 89 97 99 107 109 110 107 106 103 92 89 Multiplying a real number by 5 always makes it larger. The only numbers smaller than 1 are negative All your friends are ugly. The smallest prime number is 3 You can make a polygon with at least 2 points. Squaring positive numbers make them larger. Chapter 2 Page 2 BcDfGhJkLm 2, 5, 10, 17, 26, 5, 15, 45, 135,
