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# Using Statistics in Mathematics Classes PowerPoint PPT Presentation

Using Statistics in Mathematics Classes. 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.

Using Statistics in Mathematics Classes

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## Using Statistics in Mathematics Classes

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.

### How Statistics is Not Just Mathematics?

Students Discover a Distribution Shape

Students Develop a Winning Strategy

### Roller Derby

• 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

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

### Common Core State Standards

High School Statistics Categories

1) Interpreting Data (HSS.ID)

2) Inferences & Conclusions (HSS.IC)

3) Conditional Probability (HSS.CP)

4) Making Decisions (HSS.MD)

Problems-

The Birthday Problem

The Monty Hall Problem

Lottery Problems

Free Throw Stats & Prob

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

### Resources & Ideas

Websites-

http://mathleticism.net

http://apstatsmonkey.com

http://mathcoachblog.com/

www.geogebra.org

• Shelby Aaberg

UNL MTF, Scottsbluff NE

saaberg@sbps.net

• Jason Vitosh

UNL MTF, Falls City NE

jvitosh@fallscityps.org