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Mastering Inductive Reasoning Through Patterns and Conjectures Language Enrichment

Explore inductive reasoning and counterexamples to make and prove geometric conjectures. Learn to sketch figures, identify patterns, and test conjectures with consecutive numbers. Analyze the sum of consecutive integers and practice proving or disproving conjectures.

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Mastering Inductive Reasoning Through Patterns and Conjectures Language Enrichment

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  1. 2.1 Inductive Reasoning Ojectives: I CAN use patterns to make conjectures. I CAN disprove geometric conjectures using counterexamples.

  2. Example #1Describe how to sketch the 4th figure. Then sketch it.

  3. Example #2Describe the pattern. Write the next three numbers.

  4. Inductive Reasoning: conjecture based on ___________ Proving conjectures TRUE is very _______. Proving conjectures FALSE is much ________. Conjecture: conclusion made based on _____________ Counterexample: example that shows a conjecture is _____ Steps for Inductive Reasoning _________________________ _________________________ __________________________________________________

  5. Example #3Make and test a conjecture about the sum of any 3 consecutive numbers.(Consecutive numbers are numbers that follow one after another like 3, 4, and 5.)

  6. Example #4Conjecture:The sum of two numbers is always greater than the larger number.True or false?

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