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Subject: Math Grade Level: 7 Big Idea/Theme: Data Analysis and Probability Unit 3 Title: What’s the Chance? Timeframe Needed for Completion: 7 weeks Grading Period: 2nd /3rd 9 wks. Understandings: Calculate and interpret the mean, median, mode, range and interquartile range, MAD and other data for a set of data and their effects on a graph. Identify the effect of the outlier on the mean, median, mode, and range. Create and analyze box plots and histograms Fluency in problem solving skills- draw a diagram, systemic list, create a physical representation (See “Crossing the River with Dogs” book) Understand the differences between experimental and theoretical probability Understand the differences between experimental, theoretical and compound events probability. Predict and compare data from given tables, charts and graphs. Curriculum Goals/Objectives: Common Core Standards: 2012-13 Draw informal comparative inferences about two populations. 7.SP.3 Informally assess the degree of visual overlap of two numerical data distributions with similar variability, measuring the difference between the centers by expressing it is a multiple of a measure of variability. 7.SP.4 Use measures of central tendencies of variability for numerical data from random samples to draw informal comparative inferences about two populations. Use random sampling to draw inferences about a population. 7.SP.1 Understand that statistics can be used to gain information about a population by examining a sample of the population. 7.SP.2 Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Investigate chance processes and develop, use, and evaluate probability. 7.SP.5 Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. 7.SP.6 Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency and predicts the approximate relative frequency given the probability. 7.SP.7 Develop a probability model and use it to find Essential Questions: How does “chance” influence/impact outcome? Why is data collection important? How do the measures of central tendency relate to your life? Why do you use averages? How much does population comparisons and predictions of data? Why is it necessary to compare multiple events? How does the type of data determine the choice of display? What are some things to consider when you are planning on conducting a survey? How is a dot plot similar to a histogram? Assessment Tasks: Analyze sports statistics DLIQ Summary (See AVID Math 1 book) Quickwrites Projects based on real world situations ClassScape “Who’s the Best Activity” (located NC DPI Blackline Masters): Choose the best player based on graphical representation through collaboration with classmates. Percentages were found in the unit before, this activity is continuous. probabilities of events. 7.SP.8 Find probabilities of compound events using organized lists, tables, tree diagrams, and simuations. Horse Race Activity: Understanding Theoretical and Experimental Probability. At MMS see Jennifer Powell for resource, at CCMS see Lindsey Cahoon for resource. Reaction Time Activity (located in NC DPI Blackline Masters) Essential Skills/Vocabulary: Box and whisker plot Quartiles Median Extremes Outlier Range Measures of central tendency Interquartile range Histograms Theoretical probability Experimental probability Box plots Mean Absolute Deviation Dot plot (frequency/scatter) Predictions Comparisons Compound Event Materials Suggested: NCDPI Resources: http://www.ncpublicschools.org/curriculum/mathematics/middlegrades/grade08/ http://mathlearnnc.sharpschool.com/cms/One.aspx?portalId=4507283&pageId=5149151 National Library of Manipulatives http://nlvm.usu.edu/en/nav/vlibrary.html NCTM Illuminations http://illuminations.nctm.org/ Lesson Plan sites and Activities: http://www.lessonplanspage.com/Math.htm http://www.ilovemath.org Math Graphic Organizers http://www.enchantedlearning.com/graphicorganizers/math/ Common Core http://www.dpi.state.nc.us/acre/ AVID Library/Write Path Books SMART Board Lessons exchange.smarttech.com