Pythagorean Theorem
1. Choose a room you would like to decorate. Measure its length or width. This measurement will be the length of your pennant string. 2. Choose a size of paper square to use. (Hint: Whole number side lengths will make the calculations easier.) 3. Cut the square in half along the diagonal to form two paper triangles (pennant flags). 4. Measure the length of the diagonal. Then use the Pythagorean Theorem to find its exact length. 5. You will attach each triangle to the string along its diagonal side, with no space between triangles. Divide the length of the string by the length of the diagonal to determine how many triangles you will need. Use your pennant string design to analyze the process. Why is your measurement of the diagonal’s length different than the length you found using the Pythagorean Theorem? Which special version of the Pythagorean Theorem can you use to find the length of any square’s diagonal, d, using only the length of its side, s? Why do you have to use estimation to find the number of triangles you need for the string? Explain It Use your design and analysis to write a website posting describing the process readers can use to make a string of pennant flags using any length string and any size square. Your posting should include the following: step-by-step instructions a formula that can be used to find the diagonal length of any paper square and a formula that can be used to find the total number of triangles needed diagrams that make the instructions and formulas easier to understand an explanation of why this craft project must involve estimation and your recommended level of precision that readers should use You may also wish to include a photograph of your string of pennant flags in your posting. Alternatively, you can include a drawing of your completed project.
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