Vitruvian Man • Collecting and organizing data • Recognizing and modeling linear data The lesson can be found at: http://mste.illinois.edu/courses/mat764fa03/folders/jleel/Standards/da_Vinci _Teacher.html and is adapted from a lesson by Suzanne Alejandre. This lesson is also discussed in Understanding Middle School Mathematics by Arthur Hyde. © IDMT 2011 The Vitruvian Man Leonardo daVinci was an artist, engineer, and scientist in Italy during the 1400’s. He proposed that the ratio between human arm span and height should be 1:1. We are going to test whether he was correct! Adapted from Suzanne Alejandre, Univ. of Illinois © IDMT 2011 Measure and plot • Measure the arm span and height (cm)of each person in your group. Have one person record the measurements for your group. • Plot the class points on graph paper • Draw a line that best describes the distribution of points. • What is the equation of the line? • Answer the following questions in your group © IDMT 2011 Reflect and discuss 1. 2. 3. 4. Is there a relationship between arm span and height? How did you decide how to draw the line? How did you determine the equation for the line? What does the equation of your line represent? If daVinci was right, what should the slope of the line be? Was he right? 5. Why might some points not be on the line? 6. Use your equation to find out what someone’s arm span should be if their height is 150cm. 7. Still using your equation, find their height if their arm span is 180cm. © IDMT 2011 Vitruvian Man - Homework 1. Use your equation to find out what someone’s arm span should be if their height is 195cm. 2. Still using your equation, find their height if their arm span is 130cm. © IDMT 2011

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