1. Lesson 2-1 Inductive Reasoning and Conjecture

2. Ohio Content Standards:

3. Establish the validity of conjectures about geometric objects, their properties and relationships by counter-example, inductive and deductive reasoning, and critiquing arguments made by others.

4. Ohio Content Standards: Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, inductive and deductive reasoning, and paragraph or two-column proof.

5. Ohio Content Standards: Generalize and explain patterns and sequences in order to find the next term and the nth term.

6. Conjecture

7. An educated guess based on known information

8. Inductive Reasoning

9. Reasoning that uses a number of specific examples to arrive at a plausible generalization or prediction

10. Make a conjecture about the next number based on the pattern.

11. 2, 4, 12, 48, 240

12. For points L, M, and N, LM = 20, MN = 6, and LN = 14. Make a conjecture and draw a figure to illustrate your conjecture.

13. Counterexample

14. A false example to show that a conjecture is not true

15. Determine whether each conjecture is true or false. Give a counterexample for any false conjecture.

16. Given: x is an integer. Conjecture: -x is negative.

17. Determine whether each conjecture is true or false. Give a counterexample for any false conjecture. Given: WXYZ is a rectangle. Conjecture: WX = YZ and WZ = XY

18. Assignment: Pgs. 64 - 66 12-36 evens, 46-66 evens