Deductive reasoning forms the core of most rigorous proofs. The classic example All men are mortal. Comparing Inductive and Deductive Reasoning Decide whether inductive reasoning or deductive reasoning is used to reach the conclusion. All reptiles are cold-blooded. Explain your reasoning. We can use deductive reasoning to perform proofs. INDUCTIVE AND DEDUCTIVE REASONING WORKSHEET. Problem 1 : Sketch the next figure in the pattern. Deductive and Inductive Reasoning The two major types of reasoning, deductive and inductive, refer to the process by which someone creates a conclusion as well as how they believe their conclusion to be true. 62/87,21 The conclusion is based on a fact. a. Comparing Inductive and Deductive Reasoning Decide whether inductive reasoning or deductive reasoning is used to reach the conclusion. 15 1. So, the next time Monica kicks a ball up in the air, it will return to the ground. All reptiles are cold-blooded. Each time Monica kicks a ball up in the air, it returns to the ground. U1 D8: Deductive Reasoning & Reasoning in Algebra . Fido is a dog. “All dogs can fly. Properties you are probably familiar with… a. a. Reasoning and Proof • inductive reasoning(p. 62) • deductive reasoning(p. 82) • postulate (p. 89) • theorem (p. 90) • proof (p. 90) Key Vocabulary B. Busco/Getty Images Logic and reasoning are used throughout geometry to solve problems and reach conclusions. Problem 2 : Describe a pattern in the sequence of numbers. Example: An Algebraic Proof. Solve 1 6 10 2. x += 1. Deductive Reasoning Deductive Reasoning – A type of logic in which one goes from a general statement to a specific instance. Explain your reasoning. So, it is deductive reasoning. Each time Monica kicks a ball up in the air, it returns to the ground. (major premise) Socrates is a man. Deductive reasoning requires one to start with a few general ideas, called premises, and apply them to a specific situation. inductive or deductive reasoning. Addition Property of Equality So, the next time Monica kicks a ball up in the air, it will return to the ground. Predict the next number. Remember, a theorem . d) using deductive reasoning. Deduction can be thought of as the process of determining what has to be true (or what cannot be true) on the basis of what is already known. Related SOL G.2a, G.6 Materials Activity Sheets 1, 2, and 3 (attached) Flash cards (attached) Logic and Conditional Statements handout (attached) Vocabulary intersection, union, Venn diagram (earlier grades) conditional statement, hypothesis, conclusion, negation, negate, converse, inverse, Fumio has been late to school five times; therefore he will receive a detention. 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