Park City Mathematics Institute Data, Statistics, and Probability

Was Leonardo Correct? (continued)
by Aaron Orzech, Joe Gonzales, and Todd Smallcanyon

 Download: zipped folder with all files: leonardo.zip General Files     Correspondence of Data         MS Word | PDF format     Data Sets         Excel | Excel zipped Teacher Training Module Files     MS Word | PDF format Body Measurements Files     Teacher Notes: PDF format     Student Instructions: MS Word | PDF format     Student Worksheets: MS Word | PDF format     ANSUR Average Value         Fathom | Fathom zipped Perfect Face Files     Teacher Notes: MS Word | PDF format     Student Data: Fathom | Fathom zipped WHAT IS IT? The three activities included here are: A teacher training module for teachers just learning how to use Fathom™ software (Teacher Training Module, contact Joe Gonzales) An activity studying the ratios between different body measurements (Body Measurements, contact Aaron Orzech) An activity studying the ratios between different head and face measurements, which could be used to extend the concepts in Body Measurements, as a standalone activity, or in conjunction with an art class (Perfect Face, contact Todd Smallcanyon) GRADE LEVEL This could be used with an advanced Algebra 1 class, or for a pre-AP Statistics class. Concepts used include ratios, measures of central tendency, percentiles and least-squares regression. Topics alluded to but not explicitly discussed include the Normal distribution and sampling methods. STRAND Statistics MATERIALS Rulers or tape measures (or calipers of various sizes if available), copies of student worksheets and student instructions, computers equipped with Fathom™ software. OBJECTIVES Collect a small sample of data, and consider its relationship to data about a larger population. Use percentiles, measures of central tendency, and other methods to examine relationships and distributions in a data set. Use appropriate statistical tools and vocabulary to examine the question of what is typical, and to make comparisons between items in a data set.

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This material is based upon work supported by the National Science Foundation under DMS-0940733 and DMS-1441467. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.