Ch.1 Sec.7 Inductive Reasoning
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Ch.1 Sec.7 Inductive Reasoning

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Chapter 1, Section 7: Inductive Reasoning. Monday, September 14th, 2009's Lecture.

Chapter 1, Section 7: Inductive Reasoning. Monday, September 14th, 2009's Lecture.

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    Ch.1 Sec.7 Inductive Reasoning Ch.1 Sec.7 Inductive Reasoning Presentation Transcript

    • Chapter 1, Section 7 Inductive Reasoning Ms. Dewey-Hoffman, 2009
      • What is the next figure in the pattern?
      Inductive Reasoning ?
      • How did you know? You used your INDUCTIVE REASONING.
      • Observation: what you notice about the pattern.
      • Conjecture: a conclusion you make using inductive reasoning.
      • Rule: a written explanation of the pattern or observation.
      This is your Conjecture
      • What is next in this pattern? 1, 3, 4, 12, 13…..
      • Starts at 1, then multiplied by 3, then add 1, then multiply by 3, then add 1.
      • So, 13(3) = next number in pattern.
      • 39 is the next number in the pattern.
      • What is the next number after 39 if the pattern is followed?
      Questions to ask yourself to understand what you observe and write a rule : Where does the pattern start? Does the pattern change as the pattern continues? What would be the next figure or number in the pattern? The Rule
    • Questions to ask yourself to understand what you observe and write a rule : Where does the pattern start? Does the pattern change as the pattern continues? What would be the next figure or number in the pattern? Write a rule for these patterns, then give the next number in the pattern. 30, 25, 20, 15 …… 2, -2, 2, -2 …… 4, 9, 14, 19 ……
    • Make A Conjecture
      • You toss a coin four times, and it comes up heads each time. Is the conjecture “ The coin will come up heads on every toss ” reasonable?
      • Why?
    • Counter Examples
      • A Conjecture about an Observation is not always correct.
      • If the Conjecture isn’t correct, write a counterexample to say why it isn’t correct.
      • State whether the conjecture is correct or incorrect. If the conjecture is incorrect, write a counterexample to prove that it is incorrect.
      • All US States end with the letter A.
      • All dogs have tails.
      • The last digit of the product of 5 and a whole number is either 0 or 5.
      • A number and it’s absolute value are always opposites.
    • #6
      • Pages 38-39: 10-26 all.
      • Be sure to do all parts of the problems.
      • Do work on a separate sheet of paper and follow the homework format.