Activity Lab Activity Lab A Colossal Task In these activities students apply their knowledge of similarity, scale drawing, ratio, and proportion. A Colossal Task Applying Volume The Statue of Liberty stands in New York harbor, welcoming people to the United States. A similar giant statue once stood at the entrance to the harbor of the Greek island of Rhodes. A stone base and an iron framework supported the bronze statue, which took 12 years to construct. The statue remained standing for only about 66 years, falling to the ground after a violent earthquake weakened its knees. Activating Prior Knowledge Have students brainstorm how artists draw human beings accurately and relate their own experiences in drawing the human form. Elicit the fact that artists use ratio and proportion extensively to represent images accurately. The Colossus of Rhodes The Colossus is believed to have included 12.9 tons of bronze and 7.7 tons of iron. Some historians believe that the sculptor modeled the head of the Colossus on that of Alexander the Great. Guided Instruction After students read the introductory paragraph, ask how many have visited the Statue of Liberty. Invite students to relate their impressions of its size and proportions. Activity 1 Materials: ruler, paper and pencil a. Measure the height of one person attaching bronze plates to the shin of the Colossus. Estimate the probable height of the finished statue. History Connection The Colossus of Rhodes was a statue of the Greek god Apollo. The historian Pliny claimed that it was 70 cubits high. A cubit is the length of one’s forearm from elbow to fingertips. Have students use their own forearms to calculate Pliny’s estimate of the height of the Colossus. b. Using the painting of the Colossus (above left) as a guide, sketch the statue. Use proportions to determine at least eight dimensions on the statue. Add these dimensions to your sketch. Chemistry Connection Students may think that the Statue of Liberty has always been green. Point out that oxidation turns copper green as it ages. Teaching Tip Have students work in pairs or in small groups to complete the activities. Have each team read through all the activities before beginning to work. If time is limited, allow each team to choose which of the three activities it will complete. The Sculptor Chares of Lindos (in red robes) probably made small models and scaled them up to get correct proportions. 658 Artist’s rendition All photographs © Dorling Kindersley Limited unless otherwise credited on acknowledgments page Activity 1 a – b. Answers may vary. Check students’ work. 658 Activity 2 a. 8 : 1 b. 1000 : 1 Activity 1 Materials ruler, paper and pencil Teaching Tip Activity 2 Point out that estimates will vary. Students may want to use a whole number, such as 5 or 6 ft, for the average height of a man. The worker holding the mallet is standing fairly upright, so that is a good place to start measuring. Measure his foot and the foot of the Colossus to begin your proportions. a. The dimensions of the larger block are twice the dimensions of the smaller block. 3 cm Calculate the 4 cm ratio of the larger 3 cm 4 cm block’s volume 2 cm to the smaller 2 cm block’s volume. 6 cm b. Determine what the volume ratio 6 cm would be if the larger block’s dimensions were 4 cm 10 times the smaller 4 cm block’s dimensions. 8 cm Activity 2 8 cm Materials paper and pencil Tactile Learners Students can use same-sized blocks to model the activity. Letting one block represent the smaller prism, they can build the larger prism and see why its volume is eight times the volume of one block. The Statue of Liberty French sculptor Frederic-Auguste Bartholdi used his mother as the model for the Statue of Liberty. The statue was built in France and shipped to New York in 350 pieces. The seven spikes on the crown symbolize the seven seas and seven continents. Activity 3 Materials: newspaper or Internet Suppose the residents in your area have decided to honor you, a friend, or a local hero by building a 100-ft solid-gold statue in the center of town. Draw a sketch of the statue. Estimate the weight and cost. Hints: Light Lady Liberty From heel to top of head, the Statue of Liberty is about 1.3 times as long as a mature blue whale but only about 1.6 times as heavy. The statue weighs less than you’d think because, rather than being solid, it is a thin layer of copper over an iron framework. The Statue of Liberty weighs 225 tons. • Use what you learned in Activity 2 to estimate the ratio of the statue’s volume to its subject’s volume. • Think about how the weight ratio relates to the volume ratio. • You’ll need to find the density of gold. You’ll also need to compare the density of gold to that of a person. Keep in mind that our bodies are mostly water. • Research the current price of gold. A fully grown blue whale weighs about 143 tons. PHSchool.com For: Information about statues Web Code: aue-1153 659 Activity 3 Answers may vary. Check students’ work. (Hints: 1. Sample: If the subject is 5 ft tall, the volume ratio would be 8000 1 . 2.They are the same. 3. density of gold N 19.3 g/cm3 N 1200 lb/ft3) Activity 3 Materials paper and pencil Error Prevention Students may initially think that the ratio of weights equals the ratio of heights. Emphasize that this is only true when the densities of the objects are the same. Scoring Rubric This scoring rubric applies to all activities. Share this scoring rubric with students before they begin work. 4 Measurements and estimates are reasonable. Drawings are neat and accurate and clearly reflect the situations. Explanations are thorough. 3 Measurements and estimates are mostly reasonable. Drawings are neat and mostly accurate. Explanations lack detail or are not completely accurate. 2 Drawings are not accurate. Explanations lack clarity. 1 Satisfactory answers are given, but no work is shown. 659
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