{"id":72416,"date":"2022-06-15T19:59:20","date_gmt":"2022-06-15T14:29:20","guid":{"rendered":"https:\/\/ccssanswers.com\/?p=72416"},"modified":"2022-05-10T12:59:15","modified_gmt":"2022-05-10T07:29:15","slug":"eureka-math-grade-7-module-1-lesson-17","status":"publish","type":"post","link":"https:\/\/ccssanswers.com\/eureka-math-grade-7-module-1-lesson-17\/","title":{"rendered":"Eureka Math Grade 7 Module 1 Lesson 17 Answer Key"},"content":{"rendered":"

Engage NY Eureka Math 7th Grade Module 1 Lesson 17 Answer Key<\/h2>\n

Eureka Math Grade 7 Module 1 Lesson 17 Example Answer Key<\/h3>\n

Example 1.
\nJake\u2019s Icon
\nJake created a simple game on his computer and shared it with his friends to play. They were instantly hooked, and the popularity of his game spread so quickly that Jake wanted to create a distinctive icon so that players could easily identify his game. He drew a simple sketch. From the sketch, he created stickers to promote his game, but Jake wasn\u2019t quite sure if the stickers were proportional to his original sketch.
\n\"Engage
\nAnswer:
\n\"Engage<\/p>\n

Steps to check for proportionality for scale drawing and original object or picture:
\n1. Record the lengths of the scale drawing on the table.
\n2. Record the corresponding lengths on the actual object or picture on the table.
\n3. Check for the constant of proportionality.<\/p>\n

Key Idea:
\nThe scale factor can be calculated from the ratio of any length in the scale drawing to its corresponding length in the actual picture. The scale factor corresponds to the unit rate and the constant of proportionality.
\nScaling by factors greater than 1 enlarges the segment, and scaling by factors less than 1 reduces the segment.<\/p>\n

\u2192 What relationship do you see between the measurements?
\n\u2192 The corresponding lengths are proportional.
\n\u2192 Is the sticker proportional to the original sketch?
\n\u2192 Yes, the sticker lengths are twice as long as the lengths in the original sketch.
\n\u2192 How do you know?
\n\u2192 The unit rate, 2, is the same for the corresponding measurements.
\n\u2192 What is this called?
\n\u2192 Constant of proportionality
\n\u2192 Introduce the term scale factor and review the key idea box with students.
\n\u2192 Is the new figure larger or smaller than the original?
\n\u2192 Larger
\n\u2192 What is the scale factor for the sticker? How do you know?
\n\u2192 The scale factor is two because the scale factor is the same as the constant of proportionality. It is the ratio of a length in the scale drawing to the corresponding length in the actual picture, which is 2 to 1. The enlargement is represented by a number greater than 1.
\n\u2192 Each of the corresponding lengths is how many times larger?
\n\u2192 Two times
\n\u2192 What can you predict about an image that has a scale factor of 3?
\n\u2192 The lengths of the scaled image will be three times as long as the lengths of the original image.<\/p>\n

Example 2.
\nUse a scale factor of 3 to create a scale drawing of the picture below.
\nPicture of the flag of Colombia:
\n\"Engage
\nAnswer:
\n\"Engage
\nA. 1\\(\\frac{1}{2}\\)in. \u00d7 3 = 4\\(\\frac{1}{2}\\)in.
\nB. \\(\\frac{1}{2}\\)in. \u00d7 3 = 1\\(\\frac{1}{2}\\)in.
\nC. \\(\\frac{1}{4}\\)in. \u00d7 3 = \\(\\frac{3}{4}\\)in.
\nD. \\(\\frac{1}{4}\\)in. \u00d7 3 = \\(\\frac{3}{4}\\)in.<\/p>\n

Example 3.
\nYour family recently had a family portrait taken. Your aunt asks you to take a picture of the portrait using your phone and send it to her. If the original portrait is 3 feet by 3 feet, and the scale factor is \\(\\frac{1}{18}\\), draw the scale drawing that would be the size of the portrait on your phone.
\nSketch and notes:
\nAnswer:
\nSketch and notes:
\n3 \u00d7 12in. = 36in.
\n36in. \u00d7 \\(\\frac{1}{18}\\) = 2in.
\n\"Engage<\/p>\n

Eureka Math Grade 7 Module 1 Lesson 17 Exercise Answer Key<\/h3>\n

Exercise 1.
\nApp Icon
\n\"Eureka
\nAnswer:
\n\"Eureka<\/p>\n

Exercise 2.
\nUse a Scale factor of 3 to create a scale drawing of the picture below.
\nPicture of the flag of Colombia:
\n\"Eureka
\nAnswer:
\n\"Eureka
\nScale Factor = \\(\\frac{1}{2}\\)
\nSketch and notes:
\nA. 1 \\(\\frac{1}{2}\\) in.\u00d7\\(\\frac{1}{2}\\) = \\(\\frac{3}{4}\\) in.
\nB. \\(\\frac{1}{2}\\) in.\u00d7\\(\\frac{1}{2}\\) = \\(\\frac{1}{4}\\) in.
\nC. \\(\\frac{1}{4}\\) in.\u00d7\\(\\frac{1}{2}\\) = \\(\\frac{1}{8}\\) in.
\nD. \\(\\frac{1}{4}\\) in.\u00d7\\(\\frac{1}{2}\\) =\\(\\frac{1}{8}\\) in.<\/p>\n

Exercise 3
\nJohn is building his daughter a doll house that is a miniature model of their house. The front of their house has a circular window with a diameter of 5 feet. If the scale factor for the model house is \\(\\frac{1}{30}\\), make a sketch of the circular doll house window.
\nAnswer:
\n5 \u00d7 12 in. = 60 in.
\n60 in. \u00d7 \\(\\frac{1}{30}\\) = 2 in.
\n\"Eureka<\/p>\n

Eureka Math Grade 7 Module 1 Lesson 17 Problem Set Answer Key<\/h3>\n

Question 1.
\nGiovanni went to Los Angeles, California, for the summer to visit his cousins. He used a map of bus routes to get from the airport to his cousin\u2019s house. The distance from the airport to his cousin\u2019s house is 56 km. On his map, the distance was 4 cm. What is the scale factor?
\nAnswer:
\nThe scale factor is \\(\\frac{1}{1,400,000}\\) . I had to change kilometers to centimeters or centimeters to kilometers or both to meters in order to determine the scale factor.<\/p>\n

Question 2.
\nNicole is running for school president. Her best friend designed her campaign poster, which measured 3 feet by 2 feet. Nicole liked the poster so much, she reproduced the artwork on rectangular buttons that measured 2 inches by 1\\(\\frac{1}{3}\\) inches. What is the scale factor?
\nAnswer:
\nThe scale factor is \\(\\frac{2}{3}\\).<\/p>\n

Question 3.
\nFind the scale factor using the given scale drawings and measurements below.
\nScale factor: ___
\n\"Eureka
\nAnswer:
\n\"Eureka
\nScale Factor: \\(\\frac{5}{3}\\)<\/u><\/p>\n

Question 4.
\nFind the scale factor using the given scale drawings and measurements below.
\nScale Factor: ___
\n\"Eureka
\nAnswer:
\n\"Eureka
\nScale Factor: \\(\\frac{1}{2}\\)<\/u>
\n** compare diameter to diameter or radius to radius.<\/p>\n

Question 5.
\nUsing the given scale factor, create a scale drawing from the actual pictures in centimeters:
\na. Scale factor: 3
\n\"Eureka
\nAnswer:
\nSmall Picture : 1 in.
\nLarge Picture: 3 in.
\n\"Eureka<\/p>\n

b. Scale factor: \\(\\frac{3}{4}\\)
\n\"Eureka
\nAnswer:
\n\"Eureka<\/p>\n

Question 6.
\nHayden likes building radio-controlled sailboats with her father. One of the sails, shaped like a right triangle, has side lengths measuring 6 inches, 8 inches, and 10 inches. To log her activity, Hayden creates and collects drawings of all the boats she and her father built together. Using the scale factor of \\(\\frac{1}{4}\\) , create a scale drawing of the sail.
\nAnswer:
\nA triangle with sides 1.5 inches, 2 inches, and 2.5 inches is drawn.<\/p>\n

Eureka Math Grade 7 Module 1 Lesson 17 Exit Ticket Answer Key<\/h3>\n

A rectangular pool in your friend\u2019s yard is 150 ft. \u00d7 400 ft. Create a scale drawing with a scale factor of \\(\\frac{1}{600}\\) . Use a table or an equation to show how you computed the scale drawing lengths.
\nAnswer:
\n\"Eureka<\/p>\n","protected":false},"excerpt":{"rendered":"

Engage NY Eureka Math 7th Grade Module 1 Lesson 17 Answer Key Eureka Math Grade 7 Module 1 Lesson 17 Example Answer Key Example 1. Jake\u2019s Icon Jake created a simple game on his computer and shared it with his friends to play. They were instantly hooked, and the popularity of his game spread so … Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/72416"}],"collection":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/comments?post=72416"}],"version-history":[{"count":1,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/72416\/revisions"}],"predecessor-version":[{"id":137898,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/72416\/revisions\/137898"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=72416"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=72416"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=72416"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}