2. Steps to Making a Decision Step 5: Evaluate results of the decision and accept responsibility for results of the decision. Step 4: Make a decision, plan and act on the decision. Step 3: Explore and evaluate possible solutions. Step 2: Brainstorm possible solutions. Step 1: Identify the problem. EVALUATE IDENTIFY BRAINSTORM ACT EXPLORE

3. What influences your decisions? Sometimes it’s better to make a decision as a group pooling all of your problem-solving skills.

4. Group Decision Making Assignment (HO) Work 10 minutes by yourself – NO talking. Work 10 minutes with group (5 people) Take home and finish with whoever will help you. Bring to class completed next time.

5. Cost vs. Benefit Before making a decision, weigh the cost vs. benefit.

6. Choice vs. Chance Every day we make choices based on the chance that certain events might occur. We estimate the probability for the event to occur. Then we examine the consequence of the event and make a decision.

7. Choice vs. Chance   I might make more money if I was in business for myself; should I quit my job?   An flood might destroy my house; should I buy insurance?   My mathematics teacher might collect homework today; should I do it?

8. Choice vs. Chance Every day each of us must make choices like those described above. The choices we make are based on the chance that certain events might occur. We informally estimate the probabilities for events by using a variety of methods: looking at statistical information, using past experiences, asking other people's opinions, performing experiments, and using mathematical theories. Once the probability for an event has been estimated, we can examine the consequences of the event and make an informed decision about what to do.

9. “The Game of Skunk” The game of SKUNK will present you with an experience that clearly involves both choice and chance. The object of SKUNK is to accumulate points by rolling dice. Points are accumulated by making several "good" rolls in a row but choosing to stop before a "bad" roll comes and wipes out all the points. SKUNK can be played by groups, by the whole class at once, or by individuals. The whole- class version is described following an explanation of the rules.

10. “The Game of Skunk” To start the game each player makes a score sheet like this: Each letter of SKUNK represents a different round of the game; play begins with the "S" column and continue through the "K" column. The object of SKUNK is to accumulate the greatest possible point total over five rounds.

11. “The Game of Skunk” 1. At the beginning of each round, every player stands. Then, a pair of dice is rolled. 2. A player gets the total of the dice and records it in his or her column, unless a "one" comes up. 3. If a "one" comes up, play is over for that round and all the player's points in that column are wiped out. 4. If "double ones" come up, all points accumulated in prior columns are wiped out as well. 5. If a "one" doesn't occur, the player may choose either to try for more points on the next roll (by continuing to stand) or to stop and keep what he or she has accumulated (by sitting down). http://illuminations.nctm.org/Lesson.aspx?id=956

12. “The Game of Skunk” After each roll, players may choose either to remain standing or to sit down. Those who are standing get the results of the next dice roll; those who sit down keep the score they have accumulated for that round regardless of future dice rolls. Once someone sits down, that person may not stand up again until the beginning of the next round

13. SIKIUINIKIIIIIIIIIIIIIIIIIIIIIIIISIKIUINIKIIIIIIIIIIIIIIIIIIIIIIII “S” round 2, 3 rolled = 5 1, 4 rolled = 0 “K” round 6, 6 rolled = 12 5, 4 rolled = 9 Choose to stop “U” round 2, 2 rolled = 4 1, 1 rolled = 0 for all previous columns 5 0 12 9 21 4 0