If – Then Statements How can you use if-then statements in deductive reasoning? How is deductive reasoning different from inductive reasoning?

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Presentation transcript:

If – Then Statements How can you use if-then statements in deductive reasoning? How is deductive reasoning different from inductive reasoning?

Warm-up Describe what the Venn Diagrams states. 1)2) Live in the U.S. Live in New England Vegetables Carrots How can you use if-then statements in deductive reasoning? How is deductive reasoning different from inductive reasoning?

Deductive Reasoning (Reasoning using facts) Conditional Statements: Def: If-then statements. There are two parts to statements. Hypothesis: follows the “if” Conclusion: follows the “then” How can you use if-then statements in deductive reasoning? How is deductive reasoning different from inductive reasoning? If you are not completely satisfied, then your money will be refunded. If y – 3 = 5, then y = 8.

Write the following in if-then statements. 1.A rectangle has four right angles. 2.A tiger is an animal. 3.A square has four congruent sides. 4.An integer that ends with 0 is divisible by 5. How can you use if-then statements in deductive reasoning? How is deductive reasoning different from inductive reasoning?

Truth Value of Statements If it is February, then there are only 28 days in the month. How can you use if-then statements in deductive reasoning? How is deductive reasoning different from inductive reasoning? Counter-example: A statement/example that proves the statement false.

Find a counter-example. 1.If x 2 ≥ 0, then x ≥ 0 2.Odd numbers less than 10 are prime. 3.If you play a sport with a ball and bat, then you play baseball. How can you use if-then statements in deductive reasoning? How is deductive reasoning different from inductive reasoning?

Truth Tables If an angle is a straight angle, then its measure is 180⁰. How can you use if-then statements in deductive reasoning? How is deductive reasoning different from inductive reasoning? Symbolic Form Read p » q If p, then q. Turn to page 11. Complete problem 2. -Complete a – g. -Be prepared to share out.

Inductive Reasoning Def:Reasoning from patterns based on analysis of specific cases. Must be used with caution. Read and complete Problem 5 on page 12 – 13. Discussion within your groups. Be prepared to share out. How can you use if-then statements in deductive reasoning? How is deductive reasoning different from inductive reasoning?

“STM” Discuss the possible solutions in your groups. How can you use if-then statements in deductive reasoning? How is deductive reasoning different from inductive reasoning?

Exit Complete the CYU and turn in Homework Page 17 (4-6, 9) How can you use if-then statements in deductive reasoning? How is deductive reasoning different from inductive reasoning?