Probability+Goals

Probability Unit:

Unit Goal: Students will apply their earlier experience with 2 way tables to build a formal understanding of independence and conditional probability and apply this knowledge to interpret data and compute probabilities of compound events.

1. Students will understand basic properties of probability. 2. Given a two way frequency table students will be able to represent a sample space using a Venn diagram. 3. Using information with a Venn diagrams and two way tables students will be able to write probabilities in correct notation. 4. Students will be able to identify the relationships between events using unions, intersections, or complements. 5. Students will be able to distinguish between independent and dependent events. 6. Using Venn diagrams and two way tables students will be able to establish if two events are independent. 7. Gain the knowledge between a union and intersection. 8. Represent a sample space using different models (eg. two way tables, tree diagrams, and Venn diagrams) 9. Explain the addition rule using a model.


 * __Develop Understanding Task:__ **

This activity should get the students to connect two way tables with Venn diagrams, calculate different probabilities including intersections, unions, and conditional probabilities and develop the language and symbols of probability.
 * Task #1: ** **Facebook Party**

Discuss how a Facebook event works and who would typically show up to parties including friends from your school, friends from other schools, and people that you don't know.
 * Launch: **

Distribute a story with the following information:
 * Explore: **
 * 56 invited people from your school show up to the party
 * 70 people you invited showed up
 * 9 people who are not from your school that were not invited
 * A total of 100 people showed up


 * [[file:secondaryiiinutah/Facebook Party.pdf|Facebook Party.pdf]] **

1. Display several frequency tables and discuss the differences 2. Discuss notation of not (~) / complements 3. Compare graphic organizers move specifically to Venn diagrams 4. Explore the questions discussing the conditional nature of questions 3 and 4 Discuss the subsets and notation 5. Discuss the mathematical meaning of intersections (or) -Notation -How it relates to the tables and diagrams 6. Discuss the mathematical meaning of unions (and) -Notation -How it relates to the tables and diagrams -Discovery of the addition rule
 * Discussion: **