Give guidance and feedback to students' plans, encouraging, refining, and helping them to be responsible for their own learning. Maintain high expectations for completion of chosen options. Summarize by reviewing the whole, bringing students "full circle" to the experience with which the learning began.

Choices for further study.

Objective: To have students select a particular application of probability theory, and to investigate this application.

Activity: Give the students the following four options of which they must choose one and write a report: Research the uses of probability in gambling. How do casinos know that they are going to make money? How do casinos set the odds? Go to the library for information on this subject, or write to Nevada casino for information. Talk to a local church or civic group that runs Bingo or other charitable gambling events. Survey your classmates about some of their genetic traits. Sample the students in this class about various traits which they inherited genetically. Some possible traits to consider include: left/right handedness, connected or nonconnected ear lobes, ability to roll the tongue, color blindness, blood types, hair or eye color. Using your results project the probability that such traits will occur in the general population. See if you can determine some actual statistics from the research section of the library. If your results are different from the listed statistics, state why you think this occurred. Study the use of probability in the insurance business. Conduct library research and talk to an insurance agent, an actuary, or someone who is involved in setting up insurance policies, so you can get first hand information on how probability and statistics are involved in these fields. Open your eyes and ears and locate some other application for probability theory in business or science. You must have your topic approved by the teacher.

Assessment: The level of the students' involvement.