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Warmup (Short Answer)

Warmup (Short Answer). Go into Socrative App Enter Room number _195236___ Enter the names of the people in your group. Talk with the members of your group, and identify something you all have in common. 1.1 Patterns and Inductive Reasoning. Learning Target.

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Warmup (Short Answer)

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  1. Warmup (Short Answer) • Go into Socrative App • Enter Room number _195236___ • Enter the names of the people in your group. • Talk with the members of your group, and identify something you all have in common.

  2. 1.1 Patterns and Inductive Reasoning

  3. Learning Target • I can find a pattern using inductive reasoning.

  4. Inductive Reasoning – Reasoning that is based on patterns you observe. If you observe a pattern in a sequence, you can use Inductive Reasoning to tell what the next term in the sequence will be.

  5. Conjecture – a conclusion you reach using Inductive Reasoning.

  6. Examples • Find the pattern to come up with the next two terms in the sequence • EX1) 3, 6, 12, 24, ___, ___ • EX2) 1, 2, 4, 7, 11, 16, 22, ___, ___

  7. You try some • 3, 33, 333, 3333, ____, ____ • 1, ½, ¼, , ___, ___ • 81, 27, 9, 3, ___, ___ • 2, 4, 8, 16, 32, ___, ___

  8. Patterns can be with Shapes, too. EX:

  9. Counterexample – An example in which a conjecture is incorrect…you are proving a statement false.

  10. In your groups • Find a counterexample to show that the conjecture is false • The product of two positive numbers is greater than either number *remember product means multiply

  11. In your groups, The sum of two numbers is greater then either number. *sum means to add Provide a counterexample that would make this statement be false.

  12. CLASSWORK/HOMEWORK • Practice Worksheet 1-1 # 1-6, 13-15, 18 • We will go over this tomorrow

  13. Homework • Due Tomorrow • Pages 6-7 #1 – 12 (Skip 7, 8), 19-21, 27, 31-35, 42, 43

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