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Shadows and Floodlights: Exploring Eliot's Football Game

In this problem, we analyze the shadows cast by floodlights on Eliot as he plays football. We draw a diagram, calculate the total length of Eliot's shadows, and explore what happens as he moves towards one of the floodlights.

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Shadows and Floodlights: Exploring Eliot's Football Game

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  1. 11-2.1 Floodlights

  2. Shadows 1

  3. Shadows 2

  4. Floodlights Eliot is playing football. He is 6 feet tall. He stands exactly half way between two floodlights. The floodlights are 12 yards high and 50 yards apart. The floodlights give Eliot two shadows, falling in opposite directions. Draw a diagram to represent this situation. Label your diagram with the measurements. Find the total length of Eliot’s shadows. Explain your reasoning in detail. 3. Suppose Eliot walks in a straight line towards one of the floodlights. Figure out what happens to the total length of Eliot’s shadows.Explain your reasoning in detail.

  5. Solution Methods

  6. Analyzing Sample Responses to Discuss • None of the Sample Responses is a complete, correct solution. • Work together on one Sample Response at a time. Write comments about each of them. • Try to understand what the student has done. • Explain how the work may be improved. • Use Tod’s or Uma’s method to write a finished solution.

  7. Wendy’s Solution

  8. Tod’s Solution

  9. Uma’s Solution

  10. Review your Individual Solution We often write rough drafts for our thinking—you do it all the time in English, History, and Science. Math should not be any different. Homework: I would like you to revise your previous solution method.

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