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            This science lesson is designed to be used with NOVA's two-hour
            special "Galileo's Battle with the Heavens." The lesson is intended
            for use in middle and high school classrooms.
           
 
             Program Contents   
            NOVA explores the story of Galileo Galilei—his scientific
            contributions, his clash with the Catholic Church, and his
            correspondence with his convent daughter.
           The program: 
            
              
                provides an historical backdrop of 17th-century Italy, including
                the spread of the bubonic plague, the role of the Inquisition,
                and the influence of powerful court families.
              
              
                examines Galileo's astronomical discoveries, including four of
                Jupiter's moons, sunspots, and the rotation of the Sun.
              
              
                highlights Galileo's role as founder of modern physics due to
                his studies of motion and his experiments with inclined planes.
              
              
                shows Galileo's talent as an inventor with his improved
                telescope design.
              
              
                tells of Galileo's correspondence with his illegitimate
                daughter, Maria Celeste, who embraced the tenets of the Catholic
                Church and became a nun.
              
              
                chronicles Galileo's clash with the Catholic Church following
                publication of his Dialogue on the Two Chief World Systems, a
                rhetorical masterpiece in support of the Copernican Sun-centered
                system.
               Before Watching 
            
              
                Ask students what they know about Galileo Galilei. Where and
                when did he live? (In Italy during the 16th and 17th centuries.)
                What did he do? (He was considered the first truly modern
                scientist because of his systematic observation of the real
                world; his main contributions were in the fields of physics and
                astronomy.) What happened to Galileo? (He was tried and found
                guilty in 1633 by the Catholic Church's Inquisition for his
                scientific beliefs.)
              
              
                Galileo made a number of scientific observations during his
                lifetime. As they watch, have students take notes on his
                contrbutions to science. Have students record what Galileo
                studied, how he studied it, and any conclusions he drew.
               After Watching 
            
              
                Lead a discussion about Galileo. What was the most powerful
                institution in Italy when Galileo lived? How did his discoveries
                contradict beliefs of his time? What happens when discoveries
                don't conform to the currently held belief system? How are
                controversial science research efforts, like fetal tissue
                research or cloning, handled by today's institutions, such as
                government or religious organizations?
              
              
                Review students' notes about Galileo's scientific contributions.
                What areas did he study? Which of his scientific discoveries
                were the most revolutionary and why?
               
 
             Activity Setup   Objective To construct and evaluate graphs of the current sunspot cycle. Materials for each student Procedure 
            
              
                Galileo studied sunspots, sketching pictures of the changing
                pattern of spots on the Sun over time. In this activity,
                students will study the nature of sunspot cycles.
              
              
                Lead a class discussion about sunspots. (See Activity Answer on
                page 4 for detailed information on sunspots.)
              
              
                Following the discussion, give each student a copy of the
                Plotting the Spots activity sheet.
              
              
                Review with students the definitions for solar minimum and solar
                maximum. Have them study the sunspot cycles from 1900 to 1995 on
                the graph found on the activity sheet. Ask students to look for
                patterns in the data.
              
              
                Have students label the graph with an x for each solar maximum
                and an m for each solar minimum. Have them estimate the year
                when each cycle started and when it ended, calculate the length
                of each cycle, and calculate the average length for the nine
                cycles shown on the graph. Discuss their results. Be flexible
                with the accuracy of reading the years of solar maximum and
                minimum. The average should be approximately 11 years.
              
              
                Provide students with graph paper. Have them graph the data for
                Solar Cycle 23. If using 5-quadrille paper, students will each
                require three sheets; if using 10-quadrille, students will
                require two sheets.
              
              
                When students' graphs are complete, discuss their results using
                the questions on the activity sheet. You might want to make an
                overhead copy of the graphs to facilitate the discussion.
              
              
                As an extension, have students research whether the year 2000
                solar sunspot maximum caused any significant disruptions in
                communications on Earth. Were any abnormal auroras reported?
                Were any satellites, Earth-bound communications, or power
                systems influenced by the solar maximum? For more information,
                see: www.exploratorium.edu/solarmax/news.html
               
 
             Plotting the Spots   
            Sunspots are cooler areas on the Sun that appear as dark spots.
            These spots tend to occur in cycles that start at the solar minimum
            (when the fewest spots occur), reach their solar maximum (when the
            most spots occur), and reduce again in number until the cycle begins
            again. Can these spots and their cycles tell us anything? Do this
            activity to find out.
           Procedure 
            
              
                Observe the following graph of the sunspot cycles from 1900 to
                1995. List any patterns that you notice. How is each cycle
                similar? How is each cycle different?
              
              
                Label the graph with an x for each solar maximum and an m for
                each solar minimum.
              
              
                From the graph, estimate the year when each cycle started and
                when it ended. Calculate the length of each cycle and the
                average length for the nine cycles shown.
              
              
                Graph the data from Solar Cycle 23 below on your sheets of graph
                paper.
                   Questions Write your answers on a separate sheet of paper. 
            When did Solar Cycle 23 begin?
              
                Did Solar Cycle 23 reach its solar maximum? If so, when did this
                occur?
              
              
                Based on the average you calculated for the other solar cycles,
                when do you predict this cycle will end?
              
              
                Can you predict when the next solar maximum might occur? Explain
                your prediction.
               
 
             Activity Answer   
            Historical records show that sunspots may have been observed as dark
            spots on the Sun at least 2,000 years ago. Ancient people might have
            seen these dark spots when the Sun was low on the horizon and
            partially obscured by clouds or mist, since it would have been
            impossible to look directly at the bright Sun without damaging the
            eyes. It was not until about 1610, following the invention of the
            telescope, that Galileo and others began observing and writing about
            the dark spots they observed.
           
            Sunspots are cooler areas on the Sun that appear as dark spots.
            While most of the visible surface of the Sun has a temperature of
            about 5700°K, sunspots are only about 4,000°K. Though they
            vary in size, most are larger in size than the diameter of Earth.
            Scientists say sunspots would be expected to glow orange in the sky,
            many times brighter than the full Moon, if pulled away from the Sun.
            They theorize that the spots are the result of magnetic �elds. The
            number of sunspots is cyclical, with periods of many sunspots (solar
            maximum) and periods of fewer sunspots (solar minimum). Solar
            flares, or explosions on the Sun, often occur near sunspots.
           
            Students will notice the cyclical nature of the sunspot cycle. Each
            cycle is similar in shape and lasts about the same amount of time.
            The number of sunspots observed at solar maximum varies, however,
            from a maximum of nearly 200 sunspots to a low of about 60 (sunspot
            numbers are averaged monthly).
           
            Students will have to estimate from the graph exactly the year and
            month. The average will be approximately 11 years.
           
            Solar Cycle 23 began about mid-1996, and reached solar minimum about
            October 1996. Solar maximum occurred about mid-2000. The next solar
            minimum is predicted to occur sometime about 2006 and peak sometime
            about 2010. Predictions are based on approximate 11-year cycles with
            solar maximum occurring on average a bit less than halfway through
            each cycle.
             
 
             Learning More   
            Drake, Stillman.Galileo: A Very Short Introduction.
 New York: Oxford Univ. Press, 2001.
 Presents a short introduction to Galileo's life and achievements
              focusing on his conflicts with theologians but supporting the
              hypothesis that he was a zealot for, rather than against, the
              Catholic Church.
 
            MacLachlan, James.Galileo Galilei: First Physicist.
 New York: Oxford Univ. Press, 1997.
 Contains a detailed chronology of Galileo's life and sidebars
              explaining his scientific contributions.
 
            Sobel, Dava.Galileo's Daughter: A Historical Memoir of Science, Faith, and
              Love.
 New York: Walker and Co., 1999.
 Presents a human picture of Galileo the scientist and Galileo the
              father.
 
            The Galileo Project of Rice Universityes.rice.edu/ES/humsoc/Galileo/
 Contains an illustrated biography of Galileo, translations of
              letters from his daughter, information about other scientists of
              his time, a portrait gallery, and links to other resources.
 
            NOVA Online—Galileo's Battle for the Heavenswww.pbs.org/nova/galileo/
 Learn all about Galileo, from his place in science to his
              mistaken belief that Earth's daily rotation and its annual orbit
              around the Sun triggered ocean tides. Includes online
              activities.
 
 
             Standards Connection   
            The "Plotting the Spots" activity aligns with the following National
            Science Education Standards and Principles and Standards for School
            Mathematics.
           Grades 5-8 
            Science Standard D:Earth and Space Science
 Earth in the solar system 
            
              
                Earth is the third planet from the Sun in a system that includes
                the Moon, the Sun, eight other planets and their moons, and
                smaller objects, such as asteroids and comets. The Sun, an
                average star, is the central and largest part in the solar
                system.
               
            Mathematics Standard:Data Analysis and Probability
 Grades 9-12 
            Science Standard D:Earth and Space Science
 Energy in the earth system 
            Mathematics Standard:Data Analysis and Probability
 
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