Shelby Aaberg, Nebraska Master Teaching Fellow,

Scottsbluff High School

Jason Vitosh, Nebraska Master Teaching Fellow,

Falls City High School

*Using Statistics in Mathematics Classes

*How Statistics is Not Just Mathematics?

*Mathematical models describe structure.

*Statistical models describe variability around the structure.

Students Develop a Winning Strategy

*Roller Derby

Students Discover a Distribution

Shape

*Asking the “Right” Questions

*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.

*Student Distribution Results

Four sets of data*Same LSRL slope

*Same LSRL y-intercept

*Same r value

*Same r2 value

*WILDLY DIFFERENT SCATTERPLOTS

*Anscombe’s Quartet

HTTP://MATHLETICISM.NET/?P=160

* Students explore permutation counting methods.

* Students consider probability and randomness.

*Counting Sixlets

Two equally qualified scholarship candidates

*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?

*Scholarship Committee

HTTP://MATHLETICISM.NET/?P=1065

*Dot Plots

* Stem & Leaf Plots

* Box & Whisker Plots

*Histograms

*Pennies Pennies Pennies

*Common Core State Standards

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)

*Resources &

Ideas

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 ProblemThe Monty Hall ProblemLottery ProblemsYour Own RaffleFree Throw Stats & Prob

*Shelby Aaberg

UNL MTF, Scottsbluff NE

saaberg@sbps.net

*Jason Vitosh

UNL MTF, Falls City NE

jvitosh@fallscityps.org

*Contact Info