How can you use fractions and percents to label a circle graph?
\nAnswer:
\nA circle graph shows how all (100%) of a set of data has been divided into parts. Each part is shown by a wedge (sector) of the circle.<\/p>\n
Question.
\nWhat fraction and percent represents the part of each circle that is shaded?
\n![\"Envision](\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/04\/Envision-Math-Grade-5-Answer-Key-Topic-19.3-Circle-Graphs-1.png\")
<\/p>\n
Another Example<\/strong> Step 1: Use fractions to find what part of the circle should represent each category. Baseball was chosen by 30 out of 60, and \\(\\frac{30}{60}\\) is 1 or 50%. The wedge for baseball is half the circle.<\/p>\n Football was chosen by 15 out of 60, and \\(\\frac{15}{60}\\) is \\(\\frac{1}{4}\\) or 25%. The wedge for football is \\(\\frac{1}{4}\\) of the circle. Step 2: Draw a circle with sectors for \\(\\frac{1}{2}\\), \\(\\frac{1}{4}\\), and \\(\\frac{1}{10}\\). The remaining sector represents \\(\\frac{3}{20}\\). Label the sectors to show what each part of the circle represents. Often circle graphs are labeled with a percent.<\/p>\n Explain It<\/strong> Question 3. In the first circle graph, \\(\\frac{1}{5}\\) or 20% is shaded. In the second circle, \\(\\frac{1}{4}\\) or 25% is shaded. Some other useful fractions for circle graphs are \\(\\frac{1}{3}\\), \\(\\frac{1}{6}\\), \\(\\frac{1}{8}\\), and \\(\\frac{1}{10}\\). Guided Practice<\/strong><\/p>\n Do you know HOW?<\/strong> Question 2. Do you UNDERSTAND?<\/strong> Question 4. Independent Practice<\/strong> Question 5. Question 6. Problem Solving<\/strong><\/p>\n In two different surveys, students were asked to name their favorite type of movie. The results are shown in the table at the right. Question 8. Question 9. Question 10. Question 11. Question 12. Question 13. Question 14. Mixed Problem Solving<\/strong><\/p>\n Objects on Jupiter weigh about two and a half times as much as on Earth. Question 1. Question 2. Question 3. Question 4. Question 5. Question 6. Envision Math 5th Grade Textbook Answer Key Topic 19.3 Circle Graphs Circle Graphs How can you use fractions and percents to label a circle graph? Answer: A circle graph shows how all (100%) of a set of data has been divided into parts. Each part is shown by a wedge (sector) of the circle. Question. …<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/posts\/248"}],"collection":[{"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/comments?post=248"}],"version-history":[{"count":1,"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/posts\/248\/revisions"}],"predecessor-version":[{"id":27044,"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/posts\/248\/revisions\/27044"}],"wp:attachment":[{"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/media?parent=248"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/categories?post=248"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/tags?post=248"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\nHow can you make a circle graph to display data?
\nAnswer:
\nSixty students were asked to name their favorite sport. How could you use a circle graph to show the results?
\n![\"Envision](\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/04\/Envision-Math-Grade-5-Answer-Key-Topic-19.3-Circle-Graphs-2.png\")
<\/p>\n
\nSoccer was chosen by 6 out of 60, and \\(\\frac{6}{60}\\) is \\(\\frac{1}{10}\\) or 10%. The remaining part represents students who chose “other”. It is \\(\\frac{9}{60}\\) or \\(\\frac{3}{20}\\) or 15% of the circle.<\/p>\n
\nQuestion 1.
\nIf 20 out of 60 students in the survey had chosen baseball, what fraction would represent the part of the circle that should be shaded to show the part of the students who chose baseball? What percent is equivalent to the fraction?
\nAnswer:<\/p>\n![\"Envision](\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/04\/Envision-Math-Grade-5-Answer-Key-Topic-19.3-Circle-Graphs-3.png\")
\nQuestion 2.
\nIn the circles at the top of the next page, how many of the 12.5% wedges would it take to equal a __ wedge?
\nAnswer:<\/p>\n
\nIn the circle at the right, how many wedges should be shaded to show 40%?
\nAnswer:<\/p>\n
\n![\"Envision](\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/04\/Envision-Math-Grade-5-Answer-Key-Topic-19.3-Circle-Graphs-4.png\")
<\/p>\n
\n![\"Envision](\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/04\/Envision-Math-Grade-5-Answer-Key-Topic-19.3-Circle-Graphs-5.png\")
<\/p>\n
\nUse the circle below to answer 1 and 2.
\n![\"Envision](\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/04\/Envision-Math-Grade-5-Answer-Key-Topic-19.3-Circle-Graphs-6.png\")
\nQuestion 1.
\nIf 4 parts of the circle were shaded, what fraction and percent would be represented?
\nAnswer:<\/p>\n
\nIf only 1 part were shaded, what fraction and percent would be represented?
\nAnswer:<\/p>\n
\nQuestion 3.
\nIn a survey, 20 people out of 80 chose apple. If you made a circle graph, which sector shown in the example above would represent apple?
\nAnswer:<\/p>\n
\nUse the data below. Copy and label the graph. Label each sector with the correct color.
\n![\"Envision](\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/04\/Envision-Math-Grade-5-Answer-Key-Topic-19.3-Circle-Graphs-7.png\")
\nAnswer:<\/p>\n
\nA restaurant offers four main course choices on their dinner menu. One evening the following choices were chosen by 20 customers: chicken, 10; beef, 5; turkey, 3; ham 2.
\n![\"Envision](\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/04\/Envision-Math-Grade-5-Answer-Key-Topic-19.3-Circle-Graphs-8.png\")
<\/p>\n
\nCopy and complete the table at the right.
\nAnswer:<\/p>\n
\nCopy the circle graph at the right and label each sector with the correct main course.
\nAnswer:<\/p>\n
\n![\"Envision](\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/04\/Envision-Math-Grade-5-Answer-Key-Topic-19.3-Circle-Graphs-9.png\")
\nQuestion 7.
\nIn which survey did \\(\\frac{1}{5}\\) of the students pick comedy?
\nAnswer:<\/p>\n
\nIn which survey did 50% of the students choose animated movies?
\nAnswer:<\/p>\n
\nCopy each circle graph and label it with the type of movie and the percent. You can remove the dashed lines in your final graph.
\nAnswer:<\/p>\n
\nNumber Sense<\/strong>
\nA circle graph is divided into three sections. One section equals 50%. The other two sections are equal in size. What percent of the circle does each of the other two sections represent?
\nAnswer:<\/p>\n
\nA triangle has a height of 16 mm and a base of 6.4 mm. What is the area of the triangle?
\nA. 22.4 mm2<\/sup>
\nB. 44.8 mm2<\/sup>
\nC. 51.2 mm2<\/sup>
\nD. 102.4 mm2<\/sup>
\nAnswer:<\/p>\n
\nThink About the Process
\nSonya spent $ 18 for a book and $22 for a DVD. She paid $2.40 in tax and received $7.60 in change. Which expression shows how to find the amount of money Sonya gave the clerk?
\nA. 18 + 22 + 2.40
\nB. 18 + 22 – 7.60
\nC. 18 + 22 + 2.40 – 7.60
\nD. 18 + 22 + 2.40 + 7.60
\nAnswer:<\/p>\n
\nRenee mixed \\(\\frac{3}{4}\\) cup of lime juice, \\(\\frac{7}{8}\\) cup of water, and \\(\\frac{1}{2}\\) cup of ice to make a limeade. Which is a reasonable total for the amount she mixed?
\nA. Less than 1 cup
\nB. Between 1\\(\\frac{1}{2}\\) cups and 2\\(\\frac{1}{2}\\) cups
\nC. More than 2\\(\\frac{1}{2}\\) cups
\nD. Less than 2 cups
\nAnswer:<\/p>\n
\nA survey asked 200 people to name their favorite type of fruit. The results were as follows: apple, 100; banana, 50; orange, 25; other, 25. Which graph best represents the data?
\n![\"Envision](\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/04\/Envision-Math-Grade-5-Answer-Key-Topic-19.3-Circle-Graphs-10.png\")
\nAnswer:<\/p>\n
\n![\"Envision](\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/04\/Envision-Math-Grade-5-Answer-Key-Topic-19.3-Circle-Graphs-11.png\")
<\/p>\n
\nComplete the table below and then graph the values on the coordinate grid.
\n![\"Envision](\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/04\/Envision-Math-Grade-5-Answer-Key-Topic-19.3-Circle-Graphs-12.png\")
\nAnswer:<\/p>\n
\nIf a dog weighs 75 pounds on Earth, about how much would it weigh on Jupiter?
\nAnswer:<\/p>\n
\nIf Tyler weighs 120 pounds on Jupiter, about how much would he weigh on Earth?
\nAnswer:<\/p>\n
\nComplete this table using the graph that shows the Big Dipper.
\n![\"Envision](\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/04\/Envision-Math-Grade-5-Answer-Key-Topic-19.3-Circle-Graphs-13.png\")
\nAnswer:<\/p>\n
\nIf you were to move this drawing of the Big Dipper 3 units to the right on this grid, what would be the ordered pair for point D?
\nAnswer:<\/p>\n
\nStrategy Focus<\/strong>
\nExamine the ordered pairs for Points Cand E. How do you know that a vertical line can connect those two points? Explain how you decided.
\nAnswer:<\/p>\n","protected":false},"excerpt":{"rendered":"