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NAME _______________________________________________________ DATE _____________________________________ REAL-WORLD APPLICATIONS STUDENT ACTIVITY for Transparency 11 Use with Lesson 11-4. About American Softball Although the rules of the game vary slightly from one country to another, softball is played in many different countries throughout the <strong>world</strong>. The game of softball was invented in the United States and first played during the late 1800s. At that time, the game was played indoors. Today, softball is played outdoors on a field typically measuring 60 feet between bases and a maximum of 300 feet from home plate to all portions of the outfield fence. Formulas that can be applied to a diagram of a softball field include the Pythagorean Theorem: a 2 b 2 c 2 ; the area of a square: A s 2 ; the area of a circle: A r 2 ; and the circumference of a circle: C d. Directions: Use what you have seen and read to answer the following questions. 1. Determine the distance from home plate to second base. 84.85 ft 2. Would the distance from first base to third base be the same as the distance from home plate to second base? Why or why not? Yes, because the diagonals of a square have the same measure. 3. What is the area bounded by the playing field shown in the diagram? 70,685.83 ft 2 4. Find the length of the outfield fence that stretches from the left field foul pole to the right field foul pole. 471.24 ft 5. Determine the straight line distance from the left field foul pole to the right field foul pole. 427.26 ft Making the Connection 6. How can the application of mathematical formulas to a sport, such as softball, benefit a coach, player, or fan of that sport? Sample answer: The application of formulas could help people better understand and appreciate the intricacies of the sport. © Glencoe/McGraw-Hill T11 Glencoe Algebra 1
NAME _______________________________________________________ DATE _____________________________________ REAL-WORLD APPLICATIONS STUDENT ACTIVITY for Transparency 12 Use with Lesson 12-2. About Consumer Price Index The Consumer Price Index, or CPI, is a historical, comparative measure that describes how the overall cost of goods and services changes over time. The goods and services itemized in the CPI are those that are considered necessary for everyday life. Examples of these goods and services include food, clothing, housing, transportation, and medical fees. The CPI uses a certain period of time from the past as a reference point. Presently, the period 1982–1984 is used. Goods and services available at that time, regardless of their cost, are given the value 100. The cost of goods and services in July 2000 and July 2001 are compared to their cost in 1982–1984. If those goods and services cost, for example, twice as much in July 2001 as they did in 1982–1984, they would be listed as 200 (2 100) in July 2001. Directions: Use what you have seen and read to answer the following questions. 1. Which groups of goods and services showed the least price changes from July 2000 to July 2001? The greatest? By what percent did their prices change? 2. Which groups, if any, cost less in July 2001 than they did in 1982–1984? 3. Which groups, if any, cost less in July 2001 than they did in July 2000? 4. The CPI for gasoline in July 2001 was 124.9. The cost of gasoline at that time was approximately $1.50 per gallon. What was the approximate cost of a gallon of gasoline in 1982–1984? Making the Connection 5. Select a college or university and determine the cost of attending that school this year. Then use the CPI percent increase for 2001 to calculate the tuition for the next four years. © Glencoe/McGraw-Hill 12 Glencoe Algebra 1
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