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**1-1 Patterns and Inductive Reasoning**

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What do you know? Pretest

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**Inductive Reasoning is based on patterns we observe.**

Find the pattern and the next two terms in each sequence: 5, 10, 15, 20, _____, _____

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**You try these: 2, 4, 8, 16, ____, ____**

4, 44, 444, 4444, ______, ______ 1, -2, 3, -4, ____, ____ 100, 50, 25, 12.5, ____, ____ O, T, T, F, F, S, S, ____, ____

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**A conjecture is a conclusion reached by inductive reasoning.**

Let’s make a conjecture about the sum of the first 30 odd numbers The sum of the first 30 odd numbers is ______. The sum of the first n odd numbers is ______.

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Conjecture Examples

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**A counterexample is an example for which the conjecture is incorrect.**

Give a counterexample to the statements: “All numbers are positive.” “All animals have four legs”

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**Find a counterexample:**

The sum of two numbers is greater than either number. The product of two positive numbers is greater than either number.

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Exit Slip Homework

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Objective - To simplify expressions using the order of operations. Simplify each expression below. 1) 6 + 5(8 - 2) 2) 3) 4)

Objective - To simplify expressions using the order of operations. Simplify each expression below. 1) 6 + 5(8 - 2) 2) 3) 4)

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