PPT-Inductive Reasoning and Conjecture

Ch 21 Inductive Reasoning uses a number of specific examples to arrive at a conclusion used in applications that involve prediction forecasting or behavior derived using facts and instances which lead to the formation of a general . Patterns and Inductive Reasoning. Geometry 1.1. You may take notes on your own notebook or the syllabus and notes packet.. Make sure that you keep track of your vocabulary. One of the most challenging aspects of geometry compared to other math classes is the vocabulary!. A. rgue . S. uccessfully. Deductive and Inductive Reasoning. Introduction. “Logic has been a formal academic discipline for . almost 2,500 years. For much of western history, logic was one of the main branches of schooling (the classical curriculum consisted of grammar, logic and rhetoric - Language used to persuade or influence others). With the growth of more specialized disciplines and wider curricula in the 20th century, formal logic got lost in the shuffle. In its place, philosophers began formulating courses in what we now call critical thinking, or informal logic.” (FactCheckEd.org, 2008). Pearson . Pre-AP Unit 1. Topic . 2: Reasoning and Proof. 2-1. : . Patterns and Conjectures. Pearson Texas Geometry ©2016 . Holt Geometry Texas ©2007 . TEKS Focus:. (4)(C) Verify that a conjectures is false using a counterexample.. August 24, 2015. (1.2 in your books). Meme Moment. Scientist of the Day. Frances Oldham Kelsey. Went to college. . at 15. Mistaken for a boy. Found a chemical being added to medicines that was killing people. Argument. Monty Python – Argument Clinic video. Monty Python. Premises + Conclusion = Argument. Argument – a group of statements including one or more premises and a conclusion. Premise – a statement in an argument that provides reason or support for the conclusion. It’s Logical. What is Logic?. Logic. – The science of correct reasoning.. Reasoning. . – The drawing of inferences or conclusions from known or assumed facts. .. There are two main types of reasoning:. The other side of logic. Deduction . vs. Induction. Deduction – General to Specific. Induction – Specific to General. Inductive reasoning. Uses particular facts, common threads and ideas to draw a conclusion suggested by evidence. Lecture Outline. Inductive Reasoning. Generalizations. Cause and Effect. Analogy. Deductive Reasoning. Syllogism. Enthymeme. Inductive Reasoning. Inductive Reasoning: Review. The process of citing a number of specific examples or . Thinking Mathematically. Objectives. Understand mathematical reasoning . Distinguish between inductive and deductive reasoning . Identify . arithmetic and geometric sequences . Thinking Mathematically. Inductive Reasoning . When you use a pattern to find the next term in a sequence you’re using . inductive reasoning.. The conclusion you’ve made about the next terms in the pattern are called a . Mimi . Opkins. CECS 100. Fall 2011. Problem Solving. Logic. – The science of correct reasoning.. Reasoning. – The drawing of inferences or conclusions from known or assumed facts.. When solving a problem, one must understand the question, gather all pertinent facts, analyze the problem i.e. compare with previous problems (note similarities and differences), perhaps use pictures or formulas to solve the problem.. To form conjectures through inductive reasoning. To disprove a conjecture with a counterexample. To avoid fallacies of inductive reasoning. Example 1. You’re at school eating lunch. You ingest some air while eating, which causes you to belch. Afterward, you notice a number of students staring at you with disgust. You burp again, and looks of distaste greet your natural bodily function. You have similar experiences over the course of the next couple of days. Finally, you conclude that belching in public is socially unacceptable. The process that lead you to this conclusion is called. Basic APA Style. Reky Groendal. Resources. APA Manual Sixth Edition. http://owl.english.purdue.edu/owl/section/2/10/. http://www.lib.monash.edu.au/tutorials/citing/apa.html. http://flash1r.apa.org/apastyle/basics/index.htm. To form conjectures through inductive reasoning. To disprove a conjecture with a counterexample. To avoid fallacies of inductive reasoning. Example 1. You’re at school eating lunch. You ingest some air while eating, which causes you to belch. Afterward, you notice a number of students staring at you with disgust. You burp again, and looks of distaste greet your natural bodily function. You have similar experiences over the course of the next couple of days. Finally, you conclude that belching in public is socially unacceptable. The process that lead you to this conclusion is called.