1. Going Fishing

2. Lake Fishing in Idaho
Who has ever been lake fishing in Idaho? What is it like? What do you fish for?

3. Lake Fishing in Idaho
CJ Strike
Anderson Ranch

4. Essential Question
Which fishing hole gives bass fisherman the best chance of catching their limit of fish?

5. Bins of Beans
How can we answer this question with this “lake,” these “fish,” and your “fishing holes”?
Gather some data about your fishing holes.

6. Guiding Questions
How likely is it that you limit out on bass (6) for the day from either lake’s fishing holes?
Is one of your fishing holes better than the other? How do you know?
Given that you limit out on bass for the day, how likely is that you are fishing in CJ Strike? Anderson Ranch?
Goal: introduce two-way tables and stacked bar graphs - both frequency and relative frequency
One idea is to have the conditional frequencies be given and then asking what statements can be said about the data?

7. Guiding Questions
4. How does your best fishing hole compare to your classmates’?
How would we answer this question?
Goal: introduce two-way tables and stacked bar graphs - both frequency and relative frequency
One idea is to have the conditional frequencies be given and then asking what statements can be said about the data?

8. Visualizing Our Data
One way to visualize bivariate categorical data is in a stacked bar graph.
NCTM Core Math Tools Demo
Goal: introduce two-way tables and stacked bar graphs - both frequency and relative frequency
One idea is to have the conditional frequencies be given and then asking what statements can be said about the data?

9. Answering the Essential Question
Which fishing hole gives bass fisherman the best chance of catching their limit of fish?

10. Bivariate Categorical Data Analysis
NOTES:
Bivariate Categorical Data Analysis

11. Bivariate Categorical Data Analysis
In the Going Fishing Task, you will:
Create a relative frequency table from your sample data with:
Rows: Anderson Ranch and CJ Strike
Columns: Did not Limit (<6), Did Limit (≥ 6)
Calculate the marginal and joint relative frequencies for your table.
Calculate the conditional relative frequencies for your table.
Brainstorm at tables - 2 minutes

12. Example: 40 Simulations of Invasive Weeds
Two-Way Frequency Table Joint & Marginal Relative Frequencies
Spread of weeds in Freeland
Less than 10 cells in 5 years
10 or more cells in 5 years
Total
Cheatgrass 13 7 20
Medusahead 5 15 18 22 40
Spread of weeds in Freeland
Less than 10 cells in 5 years
10 or more cells in 5 years
Total
Cheatgrass
13/40
7/40
20/40
Medusahead
5/40
15/40
18/40
22/40 40

13. Example: 40 Simulations of Invasive Weeds
Conditional Relative Frequencies
Spread of weeds in Freeland
Less than 10 cells in 5 years
10 or more cells in 5 years
Total
Cheatgrass
13/18
7/22 20
Medusahead
5/18
15/22 18 22 40
Spread of weeds in Freeland
Less than 10 cells in 5 years
10 or more cells in 5 years
Total
Cheatgrass
13/20
7/20 20
Medusahead
5/20
15/20 18 22 40
What are all the statements you can come up with related to these tables?

14. Data Talk
Considering the weeds example, what statements can you make regarding the joint, marginal, and conditional relative frequencies?