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All of the following people have doctorates. Which one do you think has a Ph.D. in math?

All of the following people have doctorates. Which one do you think has a Ph.D. in math?. A. B. C. D. Introduction to Size and Scale. National Academies and HHMI Summer Institutes Gulf Coast Summer Institute 2012

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All of the following people have doctorates. Which one do you think has a Ph.D. in math?

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  1. All of the following people have doctorates. Which one do you think has a Ph.D. in math? A. B. C. D.

  2. Introduction to Size and Scale National Academies and HHMI Summer Institutes Gulf Coast Summer Institute 2012 Science and Math Interface GroupMary CarmichaelHarris McFerrinZen FaulkesErin SchuenzelSheri Glowinski

  3. Context Introductory biology class (1st semester) 50-100 students “Scale and Size” theme that will be revisited throughout the semester Early in the semester Lecture and lab components Prior experience – High school math & biology

  4. Learning Goal • Understanding the effects of size in biology using graphing as a tool for visualization

  5. Learning Outcomes • Students will be able to: • estimate size of objects with biologically relevant size • measure lengths of the longest axis of different items • convert various measurements into different units using exponents and log transformation • create and describe graph with log-transformed data • understand importance of log scale in the biological world

  6. Which of the following shows the units in correct increasing order? • centimeter, meter, millimeter • centimeter, millimeter, kilometer • millimeter, centimeter, kilometer • centimeter, millimeter, meter

  7. Approximately how many meters in length is the blue whale? • 0.2 m • 5 m • 25 m • 75 m

  8. Estimate the height of the largest tree. • 116 m • 16 m • 116 cm • 16 km • 1.6 km

  9. Approximately how many water molecules will fit side by side in one millimeter? • 275,000,000,000 • 27,500 • 2,750 • 0.0000275

  10. Measure each of the following objects in number of millimeters: a Higgs boson width of a hair head of a pin diameter of M&M Measurement & Graphing Activity #1A • Graph each measurement on the graph paper in bar graph format.

  11. Measure each of the following objects in number of millimeters: width of doorway opening width of student desktop Measurement & Graphing Activity #1B • Graph each measurement on the 2nd piece of graph paper in bar graph format.

  12. First, make a guess on the measurements for each of the following objects in millimeters. What are the actual measurements? a carbon atom a paramecium phospholipid deepest spot in the ocean Measurement Group Activity #2

  13. The University of Utah Resource on Size and Scale http://learn.genetics.utah.edu/content/begin/cells/scale/

  14. linear scale vs. log scale • exponents / power of 10 • log transformation calculation

  15. Graphing Activity #2 • Create graph with transformed data

  16. Approximately how many water molecules will fit side by side in one millimeter? • 275 × 10-7 • 275 × 102 • 275 × 109 • 275 × 101

  17. Assessments • Clicker question answers • Item measurements • Graph creation with log-transformed measured items

  18. Future Tidbits Transition to 2-variable graphing exercises

  19. Learning Goals Understand correlations Create graph with 2 variables Activity • Measure length of carapace and weight of large and small crayfish • Create graph with 2 variables • Make predictions for unknowns

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