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Learning Target I can use proportional reasoning to solve scale drawing problems. The scale factor tells you how many times bigger than “normal” that something really is. proportional scale numerator What is the scale factor? unit rate 1. The length of the highway is 600 miles. If 2 inches represent 75 miles, what is the length of the highway on the map? 2. The height of a building is 480 feet. On a drawing of the building, 1/2 inch represents 24 feet, what is the height of building on the drawing? 3. A map has a scale of 2 in = 35 miles. If the distance between Troy City and Ben City is really 315 miles, how far apart are they on the map? 4. On the same map with scale 2 in = 35 miles, Marking City and Jamming City are 5 inches apart. How many miles apart are they? 5. A blueprint of a house has a scale of 1/2 in : 6 ft. The living room has dimensions of 18 ft by 24 feet. What are the dimensions on the blueprint of the living room? 6. A 120-ft long playground is just 15 in. on the scale drawing. What is the scale on the scale drawing? (what does 1 inch = ?) 7. The scale on a map is ¼ in : 18 mi. The state capital is 252 miles from the border. How far is the state capital from the border on the map? 8. A model length of 12 cm. represents an actual length of 102 ft. What is the scale for the model? (what does 1 cm = ?) Summary Table Discussion: The scale in the drawing is 2 in: 4 ft. What are the dimensions of the actual room? 14 inches 7 inches