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Lesson 2-1

Lesson 2-1. Inductive Reasoning and Conjecture. Ohio Content Standards:. Ohio Content Standards:. Establish the validity of conjectures about geometric objects, their properties and relationships by counter-example, inductive and deductive reasoning, and critiquing arguments made by others.

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Lesson 2-1

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  1. Lesson 2-1 Inductive Reasoning and Conjecture

  2. Ohio Content Standards:

  3. Ohio Content Standards: • Establish the validity of conjectures about geometric objects, their properties and relationships by counter-example, inductive and deductive reasoning, and critiquing arguments made by others.

  4. Ohio Content Standards: • Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, inductive and deductive reasoning, and paragraph or two-column proof.

  5. Ohio Content Standards: • Generalize and explain patterns and sequences in order to find the next term and the nth term.

  6. Conjecture

  7. Conjecture • An educated guess based on known information

  8. Inductive Reasoning

  9. Inductive Reasoning • Reasoning that uses a number of specific examples to arrive at a plausible generalization or prediction

  10. Make a conjecture about the next number based on the pattern.

  11. Make a conjecture about the next number based on the pattern. 2, 4, 12, 48, 240

  12. For points L, M, and N, LM = 20, MN = 6, and LN = 14. Make a conjecture and draw a figure to illustrate your conjecture.

  13. Counterexample

  14. Counterexample • A false example to show that a conjecture is not true

  15. Determine whether each conjecture is true or false. Give a counterexample for any false conjecture.

  16. Determine whether each conjecture is true or false. Give a counterexample for any false conjecture. Given: x is an integer. Conjecture: -x is negative.

  17. Determine whether each conjecture is true or false. Give a counterexample for any false conjecture. Given: WXYZ is a rectangle. Conjecture: WX = YZ and WZ = XY

  18. Assignment:Pgs. 64 - 66 12-36 evens, 46-66 evens

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