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Entry task 1) What can be concluded from the following pattern? 1 + 2 + 3 + 4 + 5 = 15 = 3 × 5 2 + 3 + 4 + 5 + 6 = 20 = 4 × 5 3 + 4 + 5 + 6 + 7 = 25 =

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Presentation on theme: "Entry task 1) What can be concluded from the following pattern? 1 + 2 + 3 + 4 + 5 = 15 = 3 × 5 2 + 3 + 4 + 5 + 6 = 20 = 4 × 5 3 + 4 + 5 + 6 + 7 = 25 ="— Presentation transcript:

1 Entry task 1) What can be concluded from the following pattern? = 15 = 3 × = 20 = 4 × = 25 = 5 × = 30 = 6 × = 35 = 7 × = 40 = 8 × 5 2) Can you find the pattern? J,F,M,A,…

2 Using Patterns and Inductive Reasoning Learning Target: I can observe patterns and reach a conclusion based on those patterns

3 Definitions Inductive Reasoning – type of reasoning that allows you to reach conclusions based on a pattern of specific examples Conjecture –conclusion reached by using inductive reasoning Counterexample –An example that shows a conjecture is incorrect

4 We can all see the pattern here, but what is important is the ideas we can take away from this to help us see other patterns.

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8 Extra credit Find the sum of all numbers from 1 to 100 –Hint : Look for a pattern –(you will not get credit if you simply use a calculator, you must find the pattern)

9 Homework Homework: p. 85 #7,12,13,14,21,23,33,35,37,39,41,46,53,55 Challenge - 56


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