1. Lesson Goals Identify when inductive or deductive reasoning is used. ESLRs: Becoming Competent Learners, Complex Thinkers, and Effective Communicators ESLRs: Becoming Competent Learners, Complex Thinkers, and Effective Communicators

2. Looking for a pattern and making a conjecture based on the pattern. Starts with specific cases States a general rule Examples Number sequences Weather reports Stock market recommendations Poll results An unproven statement based on observation

3. What is the next number in the sequence? ? Rule:

4. Sketch the next figure. Rule: a 90 o counterclockwise turn

5. Determine the date for Labor Day in 2012. The first Labor Day in 1882 was September 5 th. The second Labor Day in 1883 was September 5 th. Labor Day in 2005 was September 5 th. Labor Day in 2011 was September 5 th. September 3, 2012

6. Was the price of Google stock more or less than $480.22 on June 24, 2011? DateClosing Price June 16, 2011$ 500.37 June 17, 2011$ 485.02 June 20, 2011$ 484.58 June 21, 2011$ 493.00 June 22, 2011$ 487.01 June 23, 2011$ 480.22 June 24, 2011 $474.88

7. A CONJECTURE is an unproven statement.unproven

8. Write a conjecture based on the pattern. The sum of any three consecutive integers is _________________________ 3 times the middle number. now the right side First describe the left side of the equations

9. The sum of any three consecutive integers is _________________________ 3 times the middle number. Write a conjecture based on the pattern.

10. DEDUCTIVE REASONING Using facts, definitions, and previously accepted properties (rules) to write a logical argument. Starts with a general rule Applicable to specific cases  Because oranges are fruit and all fruit grow on trees, oranges must grow on trees.

11. Jill and Bob are friends. Jill likes to dance, cook and write. Bob likes to dance and cook. Therefore, Bob must also like to write. Inductive The conclusion is based on a pattern of previous examples. Decide whether inductive or deductive reasoning is used to reach the conclusion.

12. All squares are rectangles. Rectangles have four sides. Therefore, all squares have four sides. Deductive The conclusion is based on specific facts. Decide whether inductive or deductive reasoning is used to reach the conclusion.

13. Sue heard Kelly’s mom say that every Monday is Family Game Night at their house. Today is Tuesday. Sue reasons that Kelly might have played Monopoly last night. Deductive The conclusion is based on the rules at Kelly’s house. Decide whether inductive or deductive reasoning is used to reach the conclusion.

14. Jennifer leaves for school at 7:00 a.m. and is on time. Jennifer assumes, then, that she will always be on time if she leaves at 7:00 a.m. Inductive The conclusion is based past experience. Decide whether inductive or deductive reasoning is used to reach the conclusion.

15. The football team easily won the first two games of the season. The team will probably be league champions this year. Inductive The conclusion is based on a limited observation. Decide whether inductive or deductive reasoning is used to reach the conclusion.

16. In your own words describe inductive and deductive reasoning. What is a conjecture? Give an example of how you may have used inductive/deductive reasoning in your own experiences.

17. p. 6: 1-6, 11, 30, 31, 44 p. 91: 2, 21, 22, 33-35

18. p. 6: 1-6, 11, 30, 31, 44

20. p. 91: 2, 21, 22, 33-35