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Shelby Aaberg, Nebraska Master Teaching Fellow, Scottsbluff High School Jason Vitosh, Nebraska Master Teaching Fellow, Falls City High School

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* Mathematical models describe structure. * Statistical models describe variability around the structure.

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* Mathematical Questions “What is the probability of rolling an 8 with a pair of number cubes?” “What is the expected value when rolling a pair of number cubes?” * Statistical Questions “What is a winning strategy in a game of Roller Derby?” “Explain if a winning strategy guarantees success?” VS.

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* Same LSRL slope * Same LSRL y-intercept * Same r value * Same r 2 value * WILDLY DIFFERENT SCATTERPLOTS HTTP://MATHLETICISM.NET/?P=160

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* Students explore permutation counting methods. * Students consider probability and randomness.

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* Candidate 1: ACT Math Subscore of 33 * Candidate 2: SAT Math Subscore of 550 * You are the scholarship committee chairperson. Who should get the scholarship? HTTP://MATHLETICISM.NET/?P=1065

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* Dot Plots * Stem & Leaf Plots * Box & Whisker Plots * Histograms

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Mathematical Practices * Make sense of problems and persevere in solving them * Reason abstractly and quantitatively * Construct viable arguments and critique the reasoning of others * Model with mathematics * Use appropriate tools strategically * Attend to precision * Look for and make use of structure * Look for and express regularity in repeated reasoning High School Statistics Categories 1) Interpreting Data (HSS.ID) 2) Inferences & Conclusions (HSS.IC) 3) Conditional Probability (HSS.CP) 4) Making Decisions (HSS.MD)

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Books- * Proofiness, Charles Seife * The Lady Tasting Tea, David Salsburg * Damned Lies and Statistics, Joel Best * How to Lie with Statistics, Darrell Huff * Naked Statistics, Charles Wheelan * NCTM Developing Essential Understanding of Statistics-Grade 9-12 * NCTM Implementing the Common Core State Standards through Mathematical Problem Solving-High School * NCTM Developing Essential Understanding of Statistics-Grade 6-8 * NCTM Bridging the Gap Between CCSS and Teaching Statistics * NCTM Teaching Mathematics through Problem Solving-Grades 6-12 Websites- http://mathleticism.net http://apstatsmonkey.com http://mathcoachblog.com/ www.geogebra.org Problems- The Birthday Problem The Monty Hall Problem Lottery Problems Your Own Raffle Free Throw Stats & Prob

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* Shelby Aaberg UNL MTF, Scottsbluff NE saaberg@sbps.net * Jason Vitosh UNL MTF, Falls City NE jvitosh@fallscityps.org

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