{"id":77927,"date":"2022-06-12T21:32:14","date_gmt":"2022-06-12T16:02:14","guid":{"rendered":"https:\/\/ccssanswers.com\/?p=77927"},"modified":"2022-05-10T14:14:17","modified_gmt":"2022-05-10T08:44:17","slug":"eureka-math-grade-6-module-1-lesson-25","status":"publish","type":"post","link":"https:\/\/ccssanswers.com\/eureka-math-grade-6-module-1-lesson-25\/","title":{"rendered":"Eureka Math Grade 6 Module 1 Lesson 25 Answer Key"},"content":{"rendered":"

Engage NY Eureka Math 6th Grade Module 1 Lesson 25 Answer Key<\/h2>\n

Eureka Math Grade 6 Module 1 Lesson 25 Example Answer Key<\/h3>\n

Example 1.
\n\"Eureka
\nSam says 50% of the vehicles are cars. Give three different reasons or models that prove or disprove Sam\u2019s statement. Models can include tape diagrams, 10 \u00d7 10 grids, double number lines, etc.
\nAnswer:
\n1. \\(\\frac{3}{5}=\\frac{60}{100}\\) \u2192 60% are cars.
\n2. \"Eureka
\n3. 50% = \\(\\frac{50}{100}=\\frac{1}{2}\\) 5 \u00d7 \\(\\frac{1}{2}=\\frac{5}{2}=2 \\frac{1}{2}\\) There are more than 2\\(\\frac{1}{2}\\) cars.<\/p>\n

1. How is the fraction of cars related to the percent?
\nAnswer:
\n\\(\\frac{3}{5}\\) is equal to \\(\\frac{60}{100}\\). Since percents are out of 100, the two are equivalent.<\/p>\n

2. Use a model to prove that the fraction and percent are equivalent.
\nAnswer:
\n\"Eureka<\/p>\n

3. What other fractions or decimals also represent 60%?
\nAnswer:
\n\\(\\frac{3}{5}=\\frac{6}{10}=\\frac{9}{15}=\\frac{12}{20}=\\frac{15}{25}\\) = 0.6<\/p>\n

Example 2.
\nA survey was taken that asked participants whether or not they were happy with their job. An overall score was given. 300 of the participants were unhappy while 700 of the participants were happy with their job. Give a part-to-whole fraction for comparing happy participants to the whole. Then write a part-to-whole fraction of the unhappy participants to the whole. What percent were happy with their job, and what percent were unhappy with their job?<\/p>\n

\"Eureka
\nAnswer:
\n\"Eureka<\/p>\n

Create a model to justify your answer.
\nAnswer:
\n\"Eureka<\/p>\n

Eureka Math Grade 6 Module 1 Lesson 25 Exercise Answer Key<\/h3>\n

Exercise 1.
\nRenita claims that a score of 80% means that she answered \\(\\frac{4}{5}\\) of the problems correctly. She drew the following picture to support her claim.:
\n\"Eureka
\nAnswer:
\n\"Eureka<\/p>\n

Is Renita correct?
\nAnswer:
\nYes<\/p>\n

Why or why not?
\nAnswer:
\n\\(\\frac{4}{5}=\\frac{40}{50}=\\frac{80}{100}\\) \u2192 80%<\/p>\n

How could you change Renita\u2019s picture to make it easier for Renita to see why she is correct or incorrect?
\nAnswer:
\nI could change her picture so that there is a percent scale down the right side showing 20%, 40%, etc. I could also change the picture so that there are ten strips with eight shaded.<\/p>\n

Exercise 2.
\nUse the diagram to answer the following questions.
\n\"Eureka
\n80% is what fraction of the whole quantity?
\nAnswer:
\n\\(\\frac{4}{5}\\)<\/p>\n

\\(\\frac{1}{5}\\) is what percent of the whole quantity?
\nAnswer:
\n20%<\/p>\n

50% is what fraction of the whole quantity?
\nAnswer:
\n\\(\\frac{2 \\frac{1}{2}}{5}\\) or \\(\\frac{2.5}{5}=\\frac{25}{50}\\)<\/p>\n

1 is what percent of the whole quantity?
\nAnswer:
\n1 = \\(\\frac{1}{5}\\) This would be 100%<\/p>\n

Exercise 3.
\nMaria completed \\(\\frac{3}{4}\\) of her workday. Create a model that represents what percent of the workday Maria has worked.
\nAnswer:
\n\"Eureka
\nShe has completed 75% of the workday.<\/p>\n

What percent of her workday does she have left?
\nAnswer:
\n25%<\/p>\n

How does your model prove that your answer is correct?
\nAnswer:
\nMy model shows that \\(\\frac{3}{4}\\) = 75% and that the \\(\\frac{1}{4}\\) she has left is the same as 25%.<\/p>\n

Exercise 4.
\nMatthew completed \\(\\frac{5}{8}\\) of his workday. What decimal would also describe the portion of the workday he has finished?
\nAnswer:
\n5 \u00f7 8 = 0.625 or \\(\\frac{5}{8}\\) of 100% = 62.5%<\/p>\n

How can you use the decimal to get the percent of the workday Matthew has completed?
\nAnswer:
\n\\(\\frac{5}{8}\\) is the same as 0.625. This is 625 thousandths or \\(\\frac{625}{1,000}\\). If I divide both the numerator and denominator by ten, I can see that \\(\\frac{625}{1000}=\\frac{62.5}{100}\\).<\/p>\n

Exercise 5.
\nComplete the conversions from fraction to decimal to percent.
\n\"Eureka
\nAnswer:
\n\"Eureka<\/p>\n

Exercise 6.
\nChoose one of the rows from the conversion table in Exercise 5, and use models to prove your answers. (Models could include a 10 \u00d7 10 grid, a tape diagram, a double number line, etc.)
\nAnswer:
\nAnswers willl vary. One possible solution is shown:
\n\"Eureka<\/p>\n

Eureka Math Grade 6 Module 1 Lesson 25 Problem Set Answer Key<\/h3>\n

Question 1.
\nUse the 10 \u00d7 10 grid to express the fraction \\(\\frac{11}{20}\\) as a percent.
\n\"Eureka
\nAnswer:
\nStudents should shade 55 of the squares in the grid. They might divide it into 5 sections of 20 each and shade in 11 of the 20.<\/p>\n

Question 2.
\nUse a tape diagram to relate the fraction \\(\\frac{11}{20}\\) to a percent.
\nAnswer:
\nAnswers will vary.
\n\"Eureka<\/p>\n

Question 3.
\nHow are the diagrams related?
\nAnswer:
\nBoth show that \\(\\frac{11}{20}\\) is the same as \\(\\frac{55}{100}\\).<\/p>\n

Question 4.
\nWhat decimal is also related to the fraction?
\nAnswer:
\n0.55<\/p>\n

Question 5.
\nWhich diagram is the most helpful for converting the fraction to a decimal? ________________ Explain why.
\nAnswer:
\nAnswers will vary according to student preferences.<\/p>\n

Eureka Math Grade 6 Module 1 Lesson 25 Exit Ticket Answer Key<\/h3>\n

Show all the necessary work to support your answer.<\/p>\n

Question 1.
\nConvert 0.3 to a fraction and a percent.
\nAnswer:
\n\\(\\frac{3}{10}=\\frac{30}{100}\\), 30%<\/p>\n

Question 2.
\nConvert 9% to a fraction and a decimal.
\nAnswer:
\n\\(\\frac{9}{100}\\), 0.09<\/p>\n

Question 3.
\nConvert \\(\\frac{3}{8}\\) to a decimal and a percent.
\nAnswer:
\n0.375 = \\(\\frac{375}{1000}=\\frac{37.5}{100}\\) = 37.5%<\/p>\n","protected":false},"excerpt":{"rendered":"

Engage NY Eureka Math 6th Grade Module 1 Lesson 25 Answer Key Eureka Math Grade 6 Module 1 Lesson 25 Example Answer Key Example 1. Sam says 50% of the vehicles are cars. Give three different reasons or models that prove or disprove Sam\u2019s statement. Models can include tape diagrams, 10 \u00d7 10 grids, double … 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\/77927"}],"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=77927"}],"version-history":[{"count":1,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/77927\/revisions"}],"predecessor-version":[{"id":137758,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/77927\/revisions\/137758"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=77927"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=77927"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=77927"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}