1. Inductive Reasoning
Conjecture – An educated guess based on known information.
Inductive Reasoning – Reasoning that uses a number of specific examples to arrive at a plausible generalization or prediction.
Counterexample – A false example used to show that a conjecture is not true.

2. Make a conjecture about the next number based on the pattern.
Answer: The next number will be
Example 1-1b

3. DRIVING The table on the next screen shows selected states, the 2000 population of each state, and the number of people per 1000 residents who are licensed drivers in each state. Based on the table, find a counterexample for the following statement.
The greater the population of a state, the lower the number of drivers per 1000 residents.
Example 1-3c

4. State
Population
Licensed Drivers per 1000
Alabama
4,447,100
792
California
33,871,648
627
Texas
20,851,820
646
Vermont
608,827
831
West Virginia
1,808,344
745
Wisconsin
5,363,675
703
Source: The World Almanac and Book of Facts 2003
Answer: Alabama has a greater population than West Virginia, and it has more drivers per 1000 than West Virginia.
Example 1-3c