Mathematics Pacing Resource Document 6.DS.3 Standard: 6.DS.3: Formulate statistical questions; collect and organize the data (e.g., using technology); display and interpret the data with graphical representations (e.g., using technology). Teacher Background Information: In learning Grade 6 mathematics, students build on the knowledge and experiences in data analysis developed in earlier. They develop a deeper understanding of variability and more precise descriptions of data distributions, using numerical measures of center and spread, and terms such as cluster, peak, gap, symmetry, skew, and outlier. They begin to use histograms and box plots to represent and analyze data distributions. As in earlier grades, students view statistical reasoning as a four-step investigative process: Formulate questions that can be answered with data Design and use a plan to collect relevant data Analyze the data with appropriate methods Interpret results and draw valid conclusions from the data that relate to the questions posed. Lesson Plans/Print Activities: Web-based Practice: https://www.engageny.org/resource/grade-6-mathematics-module-6topic-d-lesson-17 Students construct a statistical question and a plan to collect data to answer the question. https://www.khanacademy.org/math/probability/statisticalstudies/statistical-questions/v/statistical-questions Statistical and non-statistical questions- Khan Academy Video https://www.engageny.org/resource/grade-6-mathematics-module-6topic-d-lesson-18 Students match the graphical representations and numerical summaries of a distribution. Matches involve dot plots, histograms, and summary statistics. https://learnzillion.com/lessonsets/500 Statistical Data Video Lessons https://learnzillion.com/lesson_plans/273 Use the concept of variability to determine whether a question is statistical- Learnzillion Lesson Plan http://www.sharemylesson.com/article.aspx?storycode=50005641 Develop understanding of statistical variability Indianapolis Public Schools Curriculum and Instruction Mathematics Pacing Resource Document 6.DS.3 Standard: 6.DS.3: Formulate statistical questions; collect and organize the data (e.g., using technology); display and interpret the data with graphical representations (e.g., using technology). Item Bank: The Heartbreak Messenger by Alexander Vance is the story of twelve-year-old Quentin who is trying to make some money. He gets a lucky break and a creative idea. It turns out that high school guys want to weasel out of breaking up with their girlfriends, and they are willing to hire Quentin to do it for them. Quentin makes some money with his new business, and even adds in options for a fee (roses, chocolates), but he struggles with the reaction of his friend (who is a girl), and his own heart. Develop a list of statistical questions based on Quentin’s creative idea that may be answered while reading the book. How would Quentin collect the data? What display would best represent the data he has collected? The 6th grade class as George Julian School is organizing a dance. The 6th grade students want to hire one musical group to play music at the dance. Create a statistical question that will allow the 6th grade students to determine which kind of musical group would be preferred by most of the students invited to the dance. Select a data display for the results. Refer to the resource documents for 6.DS.1, 6.DS.2, and 6.DS.4 for additional items. Indianapolis Public Schools Curriculum and Instruction
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