Shelby Aaberg Nebraska Master Teaching Fellow Scottsbluff High

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

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

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

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

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

* 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

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

* High School Statistics Categories 1) Interpreting Data (HSS. ID) 2) Inferences & Conclusions (HSS. IC) 3) Conditional Probability (HSS. CP) 4) Making Decisions (HSS. MD) 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

Problems. The Birthday Problem The Monty Hall Problem Lottery Problems Your Own Raffle Free Throw Stats & Prob * Websiteshttp: //mathleticism. net http: //apstatsmonkey. com http: //mathcoachblog. com/ www. geogebra. org 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

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