write this ratio in each notation. Then, lead the class in developing one ratio for each of the other three types. Have students work independently to write an additional ratio for each of the four types, using the data in the chart. (Note: Student answers will vary due to the large amount of data provided and multiple interpretations of the data.) Have selected students share and explain their ratios, defining all aspects of each. Provide students with ratios expressed symbolically and have them translate that relationship in as seen in the table below. For example, students are given Quantity A and Quantity B, and the following comparisons could be expressed. Ratio Example Ratio Notation(s) Part-to-Whole compare the number of 3:8; 3 to 8; or unfilled stars to the total (within the same quantity) number of stars in Quantity A Part-to-Part 1 compare the number of 3:5 or 3 to 5 unfilled stars to the (within the same quantity) number of filled stars in Quantity A Whole-to-Whole 1 compare the number of 8:5 or 8 to 5 (different quantities) stars in Quantity A to the number of stars in Quantity B Part-to-Part 1 compare the number of 3:2 or 3 to 2 (different quantities) unfilled stars in Quantity A to the number of unfilled stars in Quantity B 1Part-to-part comparisons and whole-to-whole comparisons are ratios that are not typically represented in fraction notation, except in certain contexts, such as determining whether two different ratios are equivalent. Provide students with a similar example to those in the table where they are provided with a ratio and they need to create a relationship in words. Provide students with the Ratios in Words, Pictures, and Notations activity sheet. Have students create their own symbolic representation of two quantities. Then write the ratio in words and provide the three ratio notations that correspond with their representations. For example, a student writes, to 5,” meaning notebooks to “4 “four every five pencils.” Then, the student must write the other ratio notations and write each ratio in words. Assessment Questions What is the significance of representing data as ratios?
write this ratio in each notation. Then, lead the class in developing one ratio for each of the other three types. Have students work independently to write an additional ratio for each of the four types, using the data in the chart. (Note: Student answers will vary due to the large amount of data provided and multiple interpretations of the data.) Have selected students share and explain their ratios, defining all aspects of each. Provide students with ratios expressed symbolically and have them translate that relationship in as seen in the table below. For example, students are given Quantity A and Quantity B, and the following comparisons could be expressed. Ratio Example Ratio Notation(s) Part-to-Whole (within the same quantity) compare the number of unfilled stars to the total number of stars in Quantity A 3:8; 3 to 8; or Part-to-Part 1 (within the same quantity) compare the number of unfilled stars to the number of filled stars in Quantity A 3:5 or 3 to 5 Whole-to-Whole 1 (different quantities) compare the number of stars in Quantity A to the number of stars in Quantity B 8:5 or 8 to 5 Part-to-Part 1 (different quantities) compare the number of unfilled stars in Quantity A to the number of unfilled stars in Quantity B 3:2 or 3 to 2 1Part-to-part comparisons and whole-to-whole comparisons are ratios that are not typically represented in fraction notation, except in certain contexts, such as determining whether two different ratios are equivalent. Provide students with a similar example to those in the table where they are provided with a ratio and they need to create a relationship in words. Provide students with the Ratios in Words, Pictures, and Notations activity sheet. Have students create their own symbolic representation of two quantities. Then write the ratio in words and provide the three ratio notations that correspond with their representations. For example, a student writes, “4 to 5,” meaning “four notebooks to every five pencils.” Then, the student must write the other ratio notations and write each ratio in words. Assessment Questions What is the significance of representing data as ratios?
mip-6-1-field-goals.docx