1. Warmup (Short Answer) Go into Socrative App
Enter Room number _195236___
Enter the names of the people in your group.
Talk with the members of your group, and identify something you all have in common.

2. 1.1 Patterns and Inductive Reasoning

3. Learning Target
I can find a pattern using inductive reasoning.

4. Inductive Reasoning – Reasoning that is based on patterns you observe
Inductive Reasoning – Reasoning that is based on patterns you observe. If you observe a pattern in a sequence, you can use Inductive Reasoning to tell what the next term in the sequence will be.

5. Conjecture – a conclusion you reach using Inductive Reasoning.

6. Examples
Find the pattern to come up with the next two terms in the sequence
EX1) 3, 6, 12, 24, ___, ___
EX2) 1, 2, 4, 7, 11, 16, 22, ___, ___

7. You try some 3, 33, 333, 3333, ____, ____ 1, ½, ¼, 1 8 , ___, ___
1, ½, ¼, 1 8 , ___, ___
81, 27, 9, 3, ___, ___
2, 4, 8, 16, 32, ___, ___

8. Patterns can be with Shapes, too.
EX:

9. Counterexample – An example in which a conjecture is incorrect…you are proving a statement false.

10. In your groups
Find a counterexample to show that the conjecture is false
The product of two positive numbers is greater than either number
*remember product means multiply

11. In your groups, *sum means to add
The sum of two numbers is greater then either number.
*sum means to add
Provide a counterexample that would make this statement be false.

12. Practice Worksheet 1-1 # 1-6, 13-15, 18 We will go over this tomorrow
CLASSWORK/HOMEWORK
Practice Worksheet 1-1 # 1-6, 13-15, 18
We will go over this tomorrow

13. Pages 6-7 #1 – 12 (Skip 7, 8), 19-21, 27, 31-35, 42, 43 Homework
Due Tomorrow
Pages 6-7 #1 – 12 (Skip 7, 8), 19-21, 27, 31-35, 42, 43