1. Bellringer
Find the circumference and area of the circle.
4/3 cm

2. Edmodo Homework grade for signing up for class on edmodo
Group Code: lw9hra

3. Inductive Reasoning and Conjecture
Chapter 2-1

4. How can inductive reasoning help predict weather conditions?
What are normal temperatures for the month of August?
How do people benefit from the inductive reasoning techniques of meteorologists?

5. Conjecture
A conjecture is an educated guess based on known information.
Examining several specific situation to arrive a conjecture is called inductive reasoning.

6. Example Lets look at the first 5 triangular numbers. 1, 3, 6, 10, 15
Find a pattern
Conjecture: The next number will increase by 6.
is 21 so 21 is the next triangular number.

7. Example Given points P, Q, and R. PQ = 9, QR = 15, and PR = 12
Conjecture: P,Q, and R are noncollinear
Illustrate conjecture Q 15 9 P R 12

8. Counterexample
A conjecture based on several observations may be true in most circumstances, but false in others.
It takes only one false example to show a conjecture is not true.
The false example is called a counterexample.

9. Example Given points W, X, Y, and Z
Conjecture: W, X, Y, and Z are noncollinear.
Counterexample:
W X Y Z

10. Homework
Pg 63 #s 1-18, 29-36
Edmodo
Group Code: lw9hra