MATHEMATICS
Grade Nine
Measurement
3. Use the ratio of lengths in similar two-dimensional figures or three-dimensional
objects to calculate the ratio of their areas or volumes respectively.
Grade Eleven
Geometry and Spatial Sense
Visualization and Geometric Models
5. Identify, sketch and classify the cross sections of three-dimensional objects.
Grade Twelve
Measurement
Use Measurement Techniques and Tools
3. Apply informal concepts of successive approximation, upper and lower bounds, and
limits in measurement situations; e.g., measurement of some quantities, such as volume
of a cone, can be determined by sequences of increasingly accurate approximations.
SCIENCE
Life Sciences
Grade Ten
Characteristics and Structure of Life
1. Explain that living cells
b. are the basic unit of structure and function of all living things
Science and Technology
Grade Ten
Understanding Technology
1. Cite examples of ways that scientific inquiry is driven by the desire to understand the
natural world and how technology is driven by the need to meet human needs and solve
human problems.
2. Describe examples of scientific advances and emerging technologies and how they
may impact society.
Full Summary
Created by David Lawrence 21 July 07 7:20 p.m.
Updated by David Lawrence 21 July 07 7:20 p.m.
Making Connections: Resources for K-12 Service Learning and Experiential Learning in
STEM Disciplines
Website URL
http://www.mste.uiuc.edu/dildine/cancer/cancer.html
Target Grade Level: 9-12 mathematics students with an emphasis on biology
Project Overview:
This lesson concentration is within the geometry content standard. Students analyze,
interpret, and discuss three dimensional cells. Students will sophisticated mathematical
formulas and concepts to understand the mathematics involved within the medical
sciences. Students will implement the ratio r = (p^2) as an indicator of what cell structure
appears to be.
Anticipated Time Required
4-6 block class periods
Project Structure
Group
Suggested Community Partners
Miami Valley Hospital
Good Samaritan Hospital
Kettering Medical Center
Supplies Needed
Java Files
Ti-84
Cost
No additional supplies
Project Implementation
Cooperative teams of 2-3 students will complete all mathematical calculations and
extrapolate results to medial simulations that illuminate cell structure.
Student Assessment
Student assessment will take the form of a group presentation that uses the conceptual
formulas as a basis for showing the mathematical applications necessary to illuminate 3D cell structures
Career Connections:
1. Using the latest in nanotechnology, engineers build tiny ingestible sensors that
circulate with the blood while sending information to a computer.
2. Inexpensive electron microscopes and educational software are developed for
science education in public schools.
Additional Resources:


Ackerman, L., & Gose, E. (1972). Breast Lesion Classification by Computer and
Xeroradiograph. Cancer, 30(1), 1025-1035.
Discusses the ratio of perimeter^2/area and the cellular structure most likely
represented
Bacus, J. W., & Gose, E. E. (1972). Leukocyte Pattern Recognition. IEEE
Transactions on Systems, Man, and Cybernetics, SMC-2(4), 513-526.
Discusses more about pattern recognition and image analysis