Lesson 11.1 Assignment Name Date Bigger and Smaller Scale Drawings, Scale Models, and Scale Factors 1. Hector owns a toy store. One of the most popular items that he sells is model cars. The models that Hector sells fall into 3 different categories based on their scale. Category A models have a scale factor of 1. Category B models have a scale factor of 1 18. Category C models have a scale 24 factor of 1 43. a. Explain what the scale factor for each category means. b. Which category has the smallest models? Explain your reasoning. Chapter 11 Assignments 207
Lesson 11.1 Assignment page 2 c. If a real car is 14.5 feet long, how long will the model of that car be in each of the categories? Show your work and give your answer in inches. 208 Chapter 11 Assignments
Lesson 11.1 Assignment page 3 Name Date d. The height of a Category A sports car is 2.8 inches. What is the height of the actual sports car represented by the model? Show your work and give your answer in feet. e. For the sports car in part (d), what would the height be of the Category B sports car model? Show your work and give your answer in inches. f. As Hector is stocking shelves, he notices that the box for the same sports car from part (d) in Category C lists the height of the model as 11.7 inches. He believes that is a misprint. Is Hector correct? Show work to support your answer and explain your reasoning. Chapter 11 Assignments 209
210 Chapter 11 Assignments
Lesson 11.2 Assignment Name Date Say Cheese! Applications of Ratio Mr. Harrison is building a doll house for his granddaughter. 1. The measurements of the front door to his house are 36 inches by 80 inches. Determine some possible sizes for the door to the doll house that maintain exactly the same shape as Mr. Harrison s front door. The dimensions are listed as width 3 height. a. 3 in. 3 80 in. 36 in. b. 3 5 in. Chapter 11 Assignments 211
Lesson 11.2 Assignment page 2 c. 4 in. 3 d. 3 6.5 in. 212 Chapter 11 Assignments
Lesson 11.2 Assignment page 3 Name Date 2. After practicing with some different ratios, Mr. Harrison decided to build a doll house and its accessories to a 1:24 scale. a. The couch in Mr. Harrison s house measures 7 feet wide by 3 feet high by 3.5 feet deep. Calculate the dimensions of the doll house couch using a 1:24 scale. Chapter 11 Assignments 213
Lesson 11.2 Assignment page 4 b. Mr. Harrison makes a dining room table similar to his table for the doll house that is 1.5 inches wide, 1.25 inches high, and 3 inches long. What are the dimensions of Mr. Harrison s dining room table? 3. After Mr. Harrison built a doll house, he decided to enter it in an online contest. He must send in a picture of the doll house. The picture that Mr. Harrison sends in has a width of 4.5 inches and a height of 3.75 inches. a. What is the aspect ratio of the picture? b. Scale this ratio up to a ratio using only whole numbers. c. What did you use for your scale factor? Explain how you determined what scale factor to use. d. If the online site wants the width of the photo to be 4 inches wide, what will the height of Mr. Harrison s picture need to be to maintain the original aspect ratio? e. Mr. Harrison decides to enlarge the picture and frame it for his granddaughter s room. He wants the photo to be 2 feet high. How many inches wide does the enlargement need to be to maintain the original aspect ratio? 214 Chapter 11 Assignments
Lesson 11.3 Assignment Name Date No GPS? Better Get the Map Out! Exploring Scale Drawings 1. Brent and Margaret are planning a trip to the city of Chicago. The map shown includes several destinations they would like to visit while they are there. A scale is included on the map. a. According to the map, which is longer, a meter or a foot? How can you tell? b. By following the shortest route along the roads, determine the distance from the Civic Opera House to the Chicago Temple. Write your answer in meters and in feet. Chapter 11 Assignments 215
Lesson 11.3 Assignment page 2 c. Use the distances you approximated from the Opera House to the Temple to determine the approximate number of feet that are in one meter. Explain your answer. d. By following the shortest route along the roads, determine the distance from the Crown Fountain to the James R. Thompson Center. Write your answer in meters and in feet. e. By following the shortest route along the roads, determine the distance from the Chicago Mercantile Exchange to Macy s. Write your answer in meters and in feet. f. Use the distances you approximated from the Chicago Mercantile Exchange to Macy s to determine the approximate number of meters that are in one foot. Explain your answer. 216 Chapter 11 Assignments
Lesson 11.3 Assignment page 3 Name Date 2. While in Chicago, Brent and Margaret plan on visiting the Sears Tower. a. In the lobby, there is a model of the Sears Tower that has an observation deck with a height of 4 meters. If the actual height of the observation deck is 412 meters, what is the scale of the model? b. Brent and Margaret decide to buy a toy replica of the Sears Tower in the gift shop to take home to their neighbors. The toy replica has a scale of 1 inch : 200 feet. Is this replica larger or smaller than the model in the lobby? c. If the toy replica from the gift shop is 7.25 inches tall, what is the height in feet of the actual Sears Tower? Show your work. Chapter 11 Assignments 217
218 Chapter 11 Assignments
Lesson 11.4 Assignment Name Date Houses for Our Feathered Friends! Creating Blueprints 1. The Brightington River High School is hosting the state wrestling tournament this year. The school needs to have wooden stands built for the top three medal winners. One of the parents of a wrestler has volunteered to make the stands. The stands consist of three boxes of the same depth and width, but varying heights. The first place box should be the highest, the second place box should be the next highest, and the third place box should be the lowest. The drawing shows an example of the boxes next to each other. D E F C A B G Label the boards with appropriate measures. A B 2 Pieces 2 Pieces C 2 Pieces D 6 Pieces E F G 2 Pieces 2 Pieces 2 Pieces Chapter 11 Assignments 219
220 Chapter 11 Assignments