{"id":73042,"date":"2022-06-15T19:59:31","date_gmt":"2022-06-15T14:29:31","guid":{"rendered":"https:\/\/ccssanswers.com\/?p=73042"},"modified":"2022-05-10T12:59:15","modified_gmt":"2022-05-10T07:29:15","slug":"eureka-math-grade-7-module-1-lesson-22","status":"publish","type":"post","link":"https:\/\/ccssanswers.com\/eureka-math-grade-7-module-1-lesson-22\/","title":{"rendered":"Eureka Math Grade 7 Module 1 Lesson 22 Answer Key"},"content":{"rendered":"

Engage NY Eureka Math 7th Grade Module 1 Lesson 22 Answer Key<\/h2>\n

Eureka Math Grade 7 Module 1 Lesson 22 Exploratory Challenge Answer Key<\/h3>\n

Using the new scale drawing of your dream room, list the similarities and differences between this drawing and the original drawing completed for Lesson 20.
\nSimilarities
\nDifferences
\nAnswer:
\nSimilarities
\n– Same room shape
\n– Placement of furniture
\n– Space between furniture
\n– Drawing of the original room
\n– Proportional<\/p>\n

Differences
\n– One is bigger than the other
\n– Different scale factors<\/p>\n

Original Scale Factor: ___
\nAnswer:
\n\\(\\frac{1}{20}\\)
\nNew scale Factor: ___
\nAnswer:
\n\\(\\frac{1}{30}\\)<\/p>\n

What is the relationship between these scale factors?
\nAnswer:
\n\\(\\frac{1}{4}\\)
\nKey Idea:
\nTwo different scale drawings of the same top-view of a room are also scale drawings of each other. In other words, a scale drawing of a different scale can also be considered a scale drawing of the original scale drawing.<\/p>\n

Eureka Math Grade 7 Module 1 Lesson 22 Example Answer Key<\/h3>\n

Example 1:
\nBuilding a Bench
\nTo surprise her mother, Taylor helped her father build a bench for the front porch. Taylor\u2019s father had the instructions with drawings, but Taylor wanted to have her own copy. She enlarged her copy to make it easier to read. Using the following diagram, fill in the missing information. To complete the first row of the table, write the scale factor of the bench to the bench, the bench to the original diagram, and the bench to Taylor’s diagram. Complete the remaining rows similarly.<\/p>\n

The pictures below show the diagram of the bench shown on the original instructions and the diagram of the bench shown on Taylor\u2019s enlarged copy of the instruction.
\n\"Engage
\nAnswer:
\n\"Engage<\/p>\n

Eureka Math Grade 7 Module 1 Lesson 22 Exercise Answer Key<\/h3>\n

Exercise 1.
\nCarmen and Jackie were driving separately to a concert. Jackie printed a map of the directions on a piece of paper before the drive, and Carmen took a picture of Jackie\u2019s map on her phone. Carmen\u2019s map had a scale factor of \\(\\frac{1}{563,270}\\). Using the pictures, what is the scale of Carmen\u2019s map to Jackie\u2019s map? What was the scale factor of Jackie\u2019s printed map to the actual distance?
\n\"Eureka
\nAnswer:
\n\"Eureka<\/p>\n

Exercise 2.
\nRonald received a special toy train set for his birthday. In the picture of the train on the package, the boxcar has the following dimensions: length is 4\\(\\frac{5}{16}\\) inches; width is 1\\(\\frac{1}{8}\\) inches; height is 1\\(\\frac{5}{8}\\) inches. The toy boxcar that Ronald received has dimensions l is 17.25 inches; w is 4.5 inches; h is 6.5 inches. If the actual boxcar is 50 feet long:
\na. Find the scale factor of the picture on the package to the toy set.
\nAnswer:
\n\"Eureka<\/p>\n

b. Find the scale factor of the picture on the package to the actual boxcar.
\nAnswer:
\n\"Eureka<\/p>\n

c. Use these two scale factors to find the scale factor between the toy set and the actual boxcar.
\nAnswer:
\n\"Eureka<\/p>\n

d. What is the width and height of the actual boxcar?
\nAnswer:
\n\"Eureka<\/p>\n

Eureka Math Grade 7 Module 1 Lesson 22 Problem Set Answer Key<\/h3>\n

Question 1.
\nFor the scale drawing, the actual lengths are labeled onto the scale drawing. Measure the lengths, in centimeters, of the scale drawing with a ruler, and draw a new scale drawing with a scale factor (SD2 to SD1) of \\(\\frac{1}{2}\\).
\n\"Eureka
\nAnswer:
\n\"Eureka<\/p>\n

Question 2.
\nCompute the scale factor of the new scale drawing (SD2) to the first scale drawing (SD1) using the information from the given scale drawings.
\na. \"Eureka
\nAnswer:
\n\\(\\frac{1}{48}\\)<\/p>\n

b. \"Eureka
\nAnswer:
\n36<\/p>\n

c. \"Eureka
\nAnswer:
\n\\(\\frac{5}{4}\\)<\/p>\n

Eureka Math Grade 7 Module 1 Lesson 22 Exit Ticket Answer Key<\/h3>\n

The school is building a new wheelchair ramp for one of the remodeled bathrooms. The original drawing was created by the contractor, but the principal drew another scale drawing to see the size of the ramp relative to the walkways surrounding it. Find the missing values on the table.
\n\"Eureka
\nAnswer:
\n\"Eureka<\/p>\n","protected":false},"excerpt":{"rendered":"

Engage NY Eureka Math 7th Grade Module 1 Lesson 22 Answer Key Eureka Math Grade 7 Module 1 Lesson 22 Exploratory Challenge Answer Key Using the new scale drawing of your dream room, list the similarities and differences between this drawing and the original drawing completed for Lesson 20. Similarities Differences Answer: Similarities – Same … 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\/73042"}],"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=73042"}],"version-history":[{"count":1,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/73042\/revisions"}],"predecessor-version":[{"id":137891,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/73042\/revisions\/137891"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=73042"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=73042"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=73042"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}