I CAN… Find missing measurements using scale drawings. 2
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.
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
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
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
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.
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
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
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
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
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
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