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Mindjog 9/1 Find the next number in each pattern 1. 2, 4, 6, 8,... 2. -125, 25, -5,... 3. 1, 2, 4, 5, 10, 11, 22,...

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Presentation on theme: "Mindjog 9/1 Find the next number in each pattern 1. 2, 4, 6, 8,... 2. -125, 25, -5,... 3. 1, 2, 4, 5, 10, 11, 22,..."— Presentation transcript:

1 Mindjog 9/1 Find the next number in each pattern 1. 2, 4, 6, 8,... 2. -125, 25, -5,... 3. 1, 2, 4, 5, 10, 11, 22,...

2 Objective u SWBAT use inductive reasoning to make conjectures about patterns in geometry in order to solve real world problems.

3 Inductive Reasoning u A type of reasoning that allows you to reach conclusions based on ___ _____________________ _____________________ a pattern of specific examples or past events

4 Hot Dog Eating u Martin the professional hotdog eating champ ate 34 hot dogs during this year’s Coney Island Contest. If he ate only 30 hotdogs last year and 26 the year before that how much do you think he will eat next year?

5 Conjecture u A _______________ reached by using inductive reasoning conclusion

6 Try to discover the following pattern!

7 Summary u 1. Define inductive reasoning in your own words. u 2. Where in real life might we use inductive reasoning?

8 CLASSWORK u Powerpoint Handout u Syllabus u Student Search

9 HOMEWORK u Inductive Reasoning Handout

10 HOMEWORK u p. 7 – 8: # 20 – 22, 25, 26, 28, 29, 32, 33

11 Homework u Find the next two in each pattern or sequence: u 1) 5, 10, 20, 40, … u 2) 3, 33, 333, 3333, …

12 u 3) 15, 12, 9, 6, … u 4) 81, 27, 9, 3, …

13 u 5) O, T, T, F, F, S, S, E, … u 6) J, F, M, A, M, …

14 u 7) 1, 2, 6, 24, 120, … u 8) 1, 2, 4, 7, 11, 16, 22, …

15 u 9) 1, ¼, 1/9, 1/16, 1/25, … u 10) 1, ½, 1/3, ¼, …

16 11)12)

17 Classwork #15 u Deano has started working out regularly. When he first started exercising he could do ____ push- ups. After the first month he could do ____ push-ups. After the second month he could do ____, and after the third month he could do ____.

18 Classwork #15 u How many push-ups would you predict he will be able to do after the fifth month of working out? u Are you absolutely sure about your prediction? Why or why not?


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