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Unit Design Content Area Grade/Course Unit Title Duration of Unit Warren County Public Schools Statistics and Probability 6 Unit 7: Statistics and Probability 22 days Priority Standards 6.SP.2 Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape. 6.SP.4 Display numerical data in plots on a number line, including dot plots, histograms, and box plots. 6.SP.5c Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered. Supporting Standards 6.SP.1 Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question because one anticipates variability in students’ ages. 6.SP.3 Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number. 6.SP.5a Reporting the number of observations. 6.SP.5b Describing the nature of the attribute under investigation, including how it was measured and its units of measurement. 6.SP./5d Relating the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered. Concepts (nouns) Set of data (center, spread, and overall shape) Numerical data (number line, dot plot, histogram, and box plot) Quantitative measures of center (mean and median) and variability (interquartile range and mean absolute deviation) Pattern and deviations Skills (verbs) Understand Display Bloom's Level (verb) Understand (2) Create (6) Give Apply (3) Describe Understand (2) Unit Design Warren County Public Schools Learning Target LT1. Understand and display numerical data LT2. Find mean and median LT3. Find interquartile range and mean absolute deviation LT4. Describe overall pattern and striking deviations in a set of data Determine Big Ideas (lifelong understandings) 1. By developing an understanding of statistical variability and data I can set goals to meet classroom expectations compared to others. 2. Knowing how to summarize and describe distributions can help me provide information to my teachers about what the interests of students from my school. Write Essential Questions (Answer Big Idea, hook student interest. 1. How can I use data to determine how well I am doing in class compared to others? 2. How can creating a graph from data about student’s favorite hobbies help me to determine what clubs our school should offer? Suggested Tasks for Unit 7 Statistics and Probability Carnegie Learning Course 1, Chapters 15,16 Go Math! Houghton Mifflin Harcourt Chapter 12: Data Displays and Measures of Center Chapter 13: Variability and Data Distributions Math in Focus Chapter 13: Introduction to Statistics Chapter 14: Measures of Central Tendency Math Innovations At this Rate Mountain Math Problems: 20 Websites: Accelerated Math Objectives: 107-113 Unit Design Warren County Public Schools Formative Assessment Lessons http://map.mathshell.org/materials/lessons.php -Mean, Median, Mode and Range -Representing Data Using Grouped Frequency Graphs and Box Plots