Using Real Life Data To Make Predictions

NO TACO BELL!

Developed by Melinda Newport

http://www.geocities.com/newports_class/index.html

Introduction Task Process Evaluation Conclusion Resources

Introduction

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Using Real Life Data To Make Predictions

Research the news and find out about what happened recently (December 2006) at Taco Bell that would cause one not to want to eat there.  You will be asked to research further to explain how this relates to exponential functions, specifically exponential growth. 

Introduction Task Process Evaluation Conclusion Resources

Task

 

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Task

You will be working in groups of two. You and your partner  will use a real life problem situation involving the growth of the Escherichia Coli (E-Coli) Bacteria to explore exponential growth.  The problem situation will be represented with words, an equation, a diagram, a table and a graph.  You will use the Internet, spreadsheet software, and hand-held graphing calculators to accomplish this task.  When you have completed this project you will be required email another student to convince them why now may not be a good time to eat at Taco Bell.  You will use your research findings, graphs, and tables to support the content of the email.

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Process

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The process will consist of five activities

First find your own sources of news using the Internet to find out what happened at TACO BELL that relates to exponential growth. Next visit the following sites: 

Center for Disease Control and Prevention 

What the Heck is an E. coli ? 

Wikipedia – E-coli 

Family Doctor 

Growth of Bacterial Populations 

Cells Alive! 

Journal of Bacteriology 

Now that you have done sufficient research on E-Coli bacteria click the following link to start applying this to exponential growth.  You will need to generate a table, a spreadsheet, a scatter plot, describe the trend line and find the corresponding equation that represents this situation.  Further, you will use this information to make predictions about the growth of this bacteria.

E-Coli and Exponential Growth Activity

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Evaluation

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Evaluation

Now that you have researched, compiled the information, analyzed the data, and used the data to make predictions, you and your partner  will articulate your knowledge by communicating your  findings to another student in an email.   You will  present background information on the topic and will give an overview of why they shouldn’t eat at Taco Bell any time soon. and how this relates to exponential functions.  This email will contain background information about  Eschericha Coli.  As well you should attach a diagram, a table, a graph and an equation with an explanation about how they are interrelated. 

The following rubric will be used to assess this project:

Rubric Title:

E-Coli Bacteria and Exponential Growth

Teacher's Name:

Ms. Newport

Student or Team Name:


Objectives

Low Performance

At or Below Average

At or Above Average

Exemplary Performance

Scores

Identified the recent problem at Taco Bell using a variety of news resources.

1 point
Accessed only one news source. Did not clearly define the problem.

2 points
Accessed more the one news source. Was unclear in identifying the problem.

3 points
Accessed several news sources. Clearly identified the problem.

4 points
Accessed at least five news sources. Identified and clearly articulated the problem, citing news sources to support findings,

of 4

Used gathered information about Escherichia Coli Bacteria to make a table, spreadsheet, scatter plot, and equation representing the rapid growth of E-coli bacteria.

1 point
Very weak evidence of organization, a few correct answers. Missing several components of the required material - table, spreadsheet, scatter plot, or corresponding equation. Mathematical terms and symbol use are weak, not enough references to mathematical terms are used.

2 points
Organization needs improvement, some correct answers. Some of the required components are missing - table, spreadsheet, scatter plot, or corresponding Equation. Some mathematical terms and symbols are used correctly.

3 points
Organized and most answers are correct. All required components are present. Mathematical terms and symbols are used appropriately.

4 points
Well organized with correct answers. All required components are included. Mathematical terms and symbols are used appropriately and often elaborated upon.

of 4

Analysis and Synthesis of the problem are evident. Connections are clearly made between E-Coli and Exponential Growth. Correct predictions were made using the given data and information.

1 point
Very little evidence of analysis and synthesis. Some educated guesses. Accuracy is weak.

2 points
Analyzes and synthesizes the problem with some success, accuracy needs to improve.

3 points
Analysis of the problem is evident, considerable accuracy.

4 points
Thorough analysis of the problem with accurate solutions.

of 4

The email sent to the other student should be convincing and should include: -sufficient background information on the Taco Bell Scandel -an overview of why one should not presently eat at Taco Bell -explain how this relates to exponential functions. -background information about Eschericha Coli -a diagram showing how E-Coli grows -a table showing the independent and dependent variables -graph that represents this function -the corresponding equation with an explanation about how they are interrelated.

1 point
Demonstrates little understanding of the main concepts. Is missing many critical components that are to be included in the email.

2 points
Demonstrates a partial understanding of the main concepts. Is missing some of the critical components that are to be included in the email.

3 points
Demonstrates an understanding of the main concepts. Includes most of the critical components in the email.

4 points
Demonstrates a thorough understanding of the main concepts, which are consistently and clearly articulated throughout the email. All critical components of the email are accurate and included.

of 4

Total score:

0 of 16

Average Score:

0 of 4

Percent Accomplishment:

0%

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Conclusion

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Conclusion

This lesson will be extended by using an activity about anti-biotics and exponential decay.  The same materials and tools will be used to accomplish the objectives. Start thinking about how anti-biotics may be related to exponential decay!

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Resources

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APPLET

Center for Disease Control and Prevention 

What the Heck is an E. coli ? 

Wikipedia – E-coli 

Family Doctor 

Growth of Bacterial Populations 

Cells Alive! 

Journal of Bacteriology 

http://fd2.formdesk.com/msnewportsclass/exponential-growth

Introduction Task Process Evaluation Conclusion Resources

 

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