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1 Scale Drawings

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I CAN… Find missing measurements using scale drawings. 2

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3 Vocabulary Scale drawing—A drawing that is similar but either larger or smaller than the actual object. Scale—On a map, intervals used representing the ratio of distance on the map to the actual distance.

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Scale Drawing The distance on the map between Coral Springs and Fort Lauderdale is about 4.1 cm. We can use proportions to calculate the actual distance between the two locations. 4 Map 1 cm = 4.1 cm Actual 4.5 km d Cross Multiply, then solve. d = 18.5 km

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On the map, the distance between Portland and Olympia is about 1 7/8 inches. What is the actual distance? Remember: map actual actual 5

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If the scale on a map of Kentucky reads 1 inch = 4.2 miles, and the distance between Somerset and Middlesboro on the map measures 13.5 inches, how many actual miles apart are they? 6

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7 Vocabulary Scale factor—A scale written as a ratio in simplest form. Scale model—A model used to represent something that is too large or too small for an actual size model.

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Find the Scale Factor 1.Find the scale factor of a blueprint if the scale is 1 inch = 8 feet. 2.On a scale drawing of a new classroom, the scale is 1 cm = 2.5 m. What is the scale factor? 8

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Designers are creating a larger model of the computer memory board to use in design work. If they use a scale of 20 inches = 1 inch, what is the length of the model? Scale: Length of Model: Model =model actual actual 9

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Map Activity Using the map of North America, pick a vacation destination that you would like to visit. Next, using a ruler, measure the distance in centimeters between Nashville (that is the nearest airport) and your destination. Now you are going to calculate the actual distance between the two locations. 10

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Assignment Using grid paper, make a scale drawing of your ideal bedroom (imagine that you have won an extreme makeover contest). Be sure to use a ruler! You should also draw furniture that is rectangular in shape in your room. Come up with a scale for your drawing. Using your scale, calculate the actual dimensions of your room (length, width). 11

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Lastly, you are going to write 3-5 quiz questions regarding your scale drawing. Examples: 1.If the scale of my drawing is 1 cm = 4.5m, what is the scale factor? Tomorrow you will exchange scale drawings and questions with a classmate to test your knowledge! 12

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13 Find the actual distance between each pair of cities. Round to the nearest tenth if necessary. CitiesMap Distance Scale Kokomo, Indiana and Chicago, Illinois 8 cm1 cm = 25 km Raleigh and Charlotte, North Carolina 3.25 in1 in = 40 mi Virginia Beach, Virginia and Washington, D.C. 8.5 cm1 cm = 30 km CitiesMap Distance Scale Mobile and Huntsville, Alabama 14.5 in 1 in = 20 mi Knoxville, Tennessee and Choctaw, Oklahoma 19.28 cm2 cm = 125 km Quebec, Canada and Paris, France 4.625 in.5 in = 355 mi

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