Real-World Probability

Students will be introduced to and complete practice problems with probability and counting rules in class. Students will be given time to use available technology in class to complete the following project:

Probability Project

1. Experiment, sample space, events, outcome.
Show your understanding of these four concepts in one of the following ways:
a)Create a poster with the terms, their definitions, and an example for each.
b) Create a podcast explaining the terms, their definitions, and an example for each.
c) Video a short skit (you may allow others to assist you) in which the terms are explained and exemplified.

2. Counting Rules
Show your understanding of the basic counting principles we have discussed in one of the following ways:
a) Create or find 10 problems encompassing various counting principles. Work the problems completely, and explain all reasoning. May be turned in on notebook paper.
b) Create a Powerpoint presentation discussion counting formulas, and work and explain a real-world problem related to each.
c) Make a counting principles brochures with all of the rules, example problems, and explanations.

3. Probabilities
Show your understanding of simple, compound, and conditional probabilities in one of the following ways:
a) Video yourself teaching a lesson on probability in which you give notes and examples relating to each type of probability. Your audience in the video may be family, friends, a room full of stuffed toys, etc.
b) Use Photostory or Moviemaker to make an animated video of each type of problem being described and worked out. This could be cartoon, object, clay, or other animation.
c) Find 10 problems encompassing various types of probability. Work the problems completely and explain all reasoning. May be turned in on notebook paper.


Requirements

1. At least one of your choices must involve technology. In other words, you may not complete the poster and two sets of ten problems on notebook paper. To receive a 100 on your project, you must have used technology for ALL THREE components.

2. A bibliography must be included to give credit to any source other than your own mind used for graphics, problems, notes, explanations, etc. With few exceptions, answers and explanations to problems should be your own.

3. You will choose your most interesting component to share with the class. For this, you must use at least one media component (Powerpoint, video, podcast, poster) and provide a handout to your classmates. The handout may be a cool website you found, a specific problem you found interesting, an outline of your Powerpoint with a place for notes, etc.


The project will be graded using the following rubric:

General Requirements:

1. Technology
0- 0/3 components involve technology
1- 1/3 or 2/3 components involve technology
2 – 3/3 components involve technology

2. Bibliography
0- not included
1- incomplete
2- complete

3. Presentation
0- no presentation
1- no media, no handout
2- no media OR no handout
3- media and handout complete

Experiment, Sample Space Events, Outcome
1. Completion
0- component missing
1- component incomplete, missing more than 2 key elements
2- component missing one or two key elements
3- component complete

2. Accuracy
0- no definitions
1- more than two definitions are wrong
2- definitions correct/ no examples
3- definitions and examples complete and correct

Counting Rules
1. Completion
0- component missing
1- component incomplete, missing more than 2 key elements
2- component missing one or two key elements
3- component complete

2. Accuracy
0- no problems
1- more than half of the problems are worked or explained incorrectly
2- fewer than half but more than none of the problems are worked or explained incorrectly
3- all problems worked and explained correctly

Probabilities
1. Completion
0- component missing
1- component incomplete, missing more than 2 key elements
2- component missing one or two key elements
3- component complete

2. Accuracy
0- no problems
1- more than half of the problems are worked or explained incorrectly
2- fewer than half but more than none of the problems are worked or explained incorrectly
3- all problems worked and explained correctly