# Fan Appreciation Night, Part 3

**Estimated Time:** 75 - 90 minutes

### Lesson Objectives:

- Students will collect, organize and interpret data in a two-way table to find probabilities.
- Students will find probabilities of compound events involving unions, intersections and complements.

### Resources for this lesson:

Before you begin, download your Algebra II Journal for Fan Appreciation Night, Part 3. You will be completing activities in the journal throughout this lesson.

Visit this section on each page to access information about key terms and other resources to help facilitate the lesson.

> Glossary

> Calculator Resources

> Teacher Resources: Instructional Notes

**Key Common Core State Standards:**

S.CP.4 Construct and interpret two-way frequency tables of data when two categories are associated with each object being classified. Use the two-way table as a sample space to decide if events are independent and to approximate conditional probabilities.

**Supporting Common Core State Standards:**

8.SP.4 Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns to describe possible association between the two variables.

**Standards for Mathematical Practices:**

MP.1 Make sense of problems and persevere in solving them.

MP.2 Reason abstractly and quantitatively.

MP.3 Construct viable arguments and critique the reasoning of others.

MP.5 Use appropriate tools strategically.

MP.6 Attend to precision.

MP.7 Look for and make use of structure.