Geometric Probability
I.SectionObjectives
- Identify favorable outcomes and total outcomes.
- Express geometric situations in probability terms.
- Interpret probabilities in terms of lengths and areas.
II.Cross-curricular-TargetPractice
- Use the following image of a dartboard.
- This is Figure 10.07.01.
- http://www.home.wlu.edu/ mcraea/GeometricProbabilityFolder/Introduction/Problem0/images/images/dartboard.gif
- Here is the problem.
- What is the geometric probability of hitting the center of the internal square of the dartboard?
- Use probability to figure this out.
- Show your work with a diagram and be prepared to explain your answer.
- Allow time for students to share their work when finished.
III.TechnologyIntegration
- Visit the same website that the image came from and explore the solution to the problem.
- http://www.home.wlu.edu/ mcraea/GeometricProbabilityFolder/Introduction/Problem0/images/images/dartboard.gif
- The answer to the problem that the student solved above is there.
- Have students use this to correct their own work.
- Show any changes/corrections that they completed.
- Then explore the other problems on the site.
IV.NotesonAssessment
- Because students are going to correct their own work during the technology integration, use this as a time to
assess student work through observation. - Are the students able to apply the concepts of probability to geometry?
- Refer students back to the text if they are having difficulty.
3.10. Perimeter and Area