# The Science of Natural Disasters

## CONTENTS OF CURRICULUM UNIT 07.04.10

- Introduction
- Purpose
- Goals and Objectives
- Key Concepts
- Students
- Rationale
- Teaching Strategies
- Classroom Activities - Lesson Plans
- Lesson Number 3 - Modeling Earthquake Magnitude and Population Growth using Exponential and Logarithmic Functions
- Resources
- Appendix: Implementing National, State and District Standards

### Unit Guide

## Modeling Natural Disasters with Mathematical Functions

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## Resources

### Teacher Bibliography - used in writing this unit, and suggested for use in further research by educators.

Abbott, Patrick L.

*Natural Disasters, 4th ed.*McGraw Hill. Boston, 2004.

Used to define several terms, for the equation describing tsunami velocity, for equation describing water wave velocity, magnitude scales, and population growth rates.

Adam, John A.
*
Mathematics In Nature: Modeling Patterns in the Natural World.
*
Princeton University Press. Princeton, New Jersey, 2003.

Used for equation relating water velocity and depth

Banks, Robert B.
*
Towing Icebergs, Falling Dominoes, and Other Adventures in Applied Mathematics.
*
Princeton University Press. Princeton, NJ., 1998.

Used to define shallow water waves and discussion of dimensions and units.

**
**

Bolt, Bruce.
*
Earthquakes 5th ed.
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W.H. Freeman & Co. New York, 2004.

Used for the formula that yields the cumulative number of earthquakes of a given magnitude,

Bercovici, David and Brandon, Mark.
*
G&G100 Natural Hazards, Homework 2
*
. Question two is used for the formula that relates earthquake magnitude to energy in ergs.

Bryant, Edward.
*
Natural Hazards 2nd ed.
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Cambridge University Press. Cambridge, 2005.

Connally, Hughes-Hallet, Gleason, et al.
*
Functions Modeling Change, 2nd ed
*
. John Wiley & Sons. Hoboken, NJ, 2004.

Used for definition of exponential function.

Johnston, Moira, ed. director.
*
The Facts on File Earth Science Handbook.
*
Diagram Visual Information Ltd. New York, 2001.

Used to define earth science terms.

Kovach, Robert, Bill McGuire.
*
Guide to Global Hazards.
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Firefly books LTD. Buffalo, NY, 2003.

Used to select case studies of the different types of natural disasters.

Murdock, Kamischke, Kamischke.
*
Discovering Algebra
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. Key Curriculum Press. Emeryville, CA. 2002.

Rubenstein, Craine, Butts, et al.
*
Integrated Mathematics 2.
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McDougal Littell/Houghton-Mifflin. Evanston, Illinois, 1995.

Scheidegger, Adrian E.
*
Physical Aspects of Natural Catastrophes.
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Elsevier. New York, 1975.

Used for frequency and magnitude of earthquakes, velocity and water depth of tsunami, volcanic bombs and maximum reach, for the relation of Fujita scale to wind speed.

Tallack, Peter, ed. T
*
he Science Book.
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Weidenfeld & Nicolson. London, 2001.

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Websites
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Connecticut No Child Left Behind (NCLB) State Report: 2005-06 School Year,

www.csde.state.ct.us/public/cedar/nclb/dist_school_nclb_results/ayp_sip_list/ReportCard_state_2005-06.pdf, 2006.

Used for CT AYP.

Connecticut State Department of Education, Connecticut Academic Performance Test (CAPT) Generation 3 Handbook for Mathematics, www.yale.edu/tprep/about/currentstudents/capt/capt_g3_math_handbook2006.doc, 2006. Contains CAPT generation 3 handbook.

Executive Summary: Principles and Standards for School Mathematics, www.nctm.org/uploadedFiles/Math_Standards/Principles_and_Standards_for_School_Mathematics/12752_exec_pssm-1.pdf

Used to establish relation to national goals established by NCTM.

Garris, Lonnie, Jr., Strategic School Profile 2005-06 High School Edition: James Hillhouse High School, www.csde.state.ct.us/public/der/ssp/SCH0506/sr075.pdf

Used for school profile.

Mathematics Curriculum Framework Prek-12 Matrix, http://www.sde.ct.gov/sde/cwp/view.asp?a=2618&q=320872, 2005.

State curriculum framework

Mathematics Subject Classification System, www.ams.org/mathweb/msc2000/, 2000.

Mathews, Kenneth R., NHPS Curriculum, www.nhps.net/hillhouse/Curriculum/Math/NHPS_Curriculum.htm, 2007.

Contains New Haven High School Math curriculum, see algebra 1.

Mayo, Reginald, Strategic School Profile 2005-06: New Haven School District www.csde.state.ct.us/public/der/ssp/dist0506/dist060.pdf, 2006.

Used for district profile.

National Center for Education Statistics: Search for Public School Districts, nces.ed.gov/ccd/districtsearch/, 2007.

Used for student teacher ratios

click on search for "search for public school districts"

type "new haven" in "district name"

click new haven school district in new haven ct

Nations Report Card, nces.ed.gov/nationsreportcard/states/

Used for CT data.

www.ecs.org/clearinghouse/67/07/6707.pdf

Describes high school grad requirements by state.

www.sde.ct.gov/sde/lib/sde/pdf/curriculum/math/cmtgrade8.pdf

Contains grade 8 CMT information..

### Student Reading List - material appropriate for high school students researching topics covered in this unit

Science for Kids, mynasadata.larc.nasa.gov/las4/servlets/dataset

Has nice applet for weather inquiry (would be nice to have one that queried by zip code).

www.uwgb.edu/dutchs/EarthSC202Notes/quakes.htm

Has nice cartoon earthquake demo, lots of visuals.