Transcript Module I: Exponential Growth

Module I: Exponential
Growth and Decay
Instructor’s Guide
Module I:
Learning Goals & Objectives
Goal: Students will understand exponential growth and
exponential decay for a system
Objectives: Students will be able to
* Characterize exponential growth using
the doubling time or rate of growth
* Characterize exponential decay using
the half-life or rate of decay
Module Outline
• Homework Assignment:
Exponential Growth Tutorial
• Classroom Follow-up
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Small group discussion
Summary of Key Concepts
Personal Response System (PRS) Questions
Final Facts
Homework Assignment
Exponential Growth Tutorial
Link Here
Key Concepts
(After small group discussion)
• Doubling Time for Exponential Growth
• Half-life for Exponential Decay
• Doubling time for US and World
Populations
Key Concepts
• Historical Graph of World Population
• Graph of World Population Predictions
Possible PRS Question 1
• There are 2000 bacteria in a petri dish.
If the bacteria have a doubling time of 3
hours, how many will there be in the
petri dish after 6 hours?
Possible PRS Question 2
• World oil consumption is currently
growing at a rate of 2% per year. How
long will it take for world oil consumption
to be twice what it is today if this rate
remains constant?
Final Facts
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2004 US Population = 300 million
2004 World Population = 6400 million
US Population is 4.7% of World’s
Doubling time about 50 years
Correlation with
Ohio Academic Content Standards
Math Benchmarks
• 8-10 Patterns, Functions and Algebra - Generalize and
explain patterns and sequences in order to find the next
term and the nth term
• 8-10 Data Analysis and Probability - Construct
convincing arguments based on analysis of data and
interpretation of graphs
Correlation with
Ohio Academic Content Standards
Science Benchmarks
• 6-8 Scientific Inquiry - Apply appropriate math skills to
interpret quantitative data
• 9-10 Scientific Inquiry - Use mathematical models to
predict and analyze natural phenomenon.
Related
Ohio Academic Content Standards
3-5 Science Benchmarks
• Explain the characteristics, cycles, and patterns
involving Earth. (Earth & Space Science)
• Compare the characteristics of simple physical and
chemical changes. (Physical Sciences)
• Organize and evaluate observations, measurements,
and other data to formulate inferences and conclusions.
(Scientific Inquiry)
• Use results and data from investigations to provide the
evidence to support explanations and conclusions.
(Scientific Inquiry)
Acknowledgements
• Thanks to all