Target Audience: Algebra Ii Collect Data As A Class

Swine Flu Target audience: Algebra II Collect data as a class

Objective: To collect and analyze data that models an exponential function. Materials Needed: Graphing Calculator, student numbers and lab sheets Introduce the Experiment: Describe the exploration. Tell the students that you will use Organize the Data Collection: As the students enter the classroom give them a card with a number on it from 1 to the number of students in the class. Use the graphing calculator to generate the data. Use randInt( ) to generate random numbers from 1 to the total number of students in the class. Type in randInt(1, total number of students in class), press enter. The student with that number comes up to the front and he/she is the student that has been exposed to the bacteria. Enter 1 for # of people infected on day 0 on the lab sheet. That student presses enter on the calculator and the next student comes up, and then they enter 2 for # of people infected on day 1. For day 2, the students who are infected press enter on the calculator and those students whose numbers appear, come up to the front and they are now infected. Enter the total number of students up front for day 2. Continue until all or almost all of the students have been infected. The second half of the activity uses Swine Flu data to allow the students extra practice finding the equation by hand and using exponential regression.

NAME____________________________________________________________DATE__________________ The Swine Flu Epidemic

In this lab, we will use a model to examine the spread of an infectious disease, in this case, the Swine Flu. 1.

Enter the class data in this table. Da To tal y 0 Nu mb 1 er 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

2. Make a scatter plot of your data (Day, Total Number), from day 0 to day 16. Be sure to label your axes and your scale.

3. Find the model that describes your data (without your calculator)

4. Now use your calculator to find the exponential regression equation.

5. Graph your data, your by hand equation, and the regression equation all in the same window. How do the two equations compare with the data?

6. The following data shows the total number of Swine Flu cases for 2009. Week 17 18 19 20 21 22

US Swine Flu Cases Number of Cases Week Number of Cases 1315 23 20370 3696 24 28422 5375 25 38046 7499 26 55331 10464 27 77202 14600 28 122619

7. Make a scatter plot of this data in the grid provided.

8. Find an equation (by hand, using 2 points) to model the Swine Flu growth. Show all steps.

9. Use your calculator to find the exponential regression equation that models the growth of the Swine Flu. Record the equation here.

10. Compare the values of a in the 2 equations. Compare the values of b in the 2 equations.

11. Assuming the Swine Flu continues to grow at this rate, predict the number of Swine Flu cases there will be during week 32.

1 2 3 4 5 6 7 8 9 1 1 1 0 1 2 1 1 1 1 3 4 5 6 1 1 1 2 7 8 9 0

2 1 2 5 2 9

2 2 2 6 3 0

2 3 2 7 3 1

2 4 2 8 3 2