* Shelby Aaberg , Nebraska Master Teaching Fellow, S cottsbluff - - PDF document

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Shelby Aaberg, Nebraska Master Teaching Fellow, S cottsbluff High S chool Jason Vitosh, Nebraska Master Teaching Fellow, Falls City High S chool

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*Mathematical models describe structure. *S

tatistical models describe variability around the structure.

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Roller Derby Rules

Object of the Game: Be the first team to remove all pennies from the board.

• 1. Place all 12 pennies somewhere on your team’s side of

the board.

• 2. Teams take turns rolling the dice and totaling the

numbers shown.

• 3. If either team has a penny in a row matching the total,

they take one penny off of that row.

• 4. The team to take their last penny off first, wins.

Play the best two out of three games.

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ROLLER% DERBY TEAM% A TEAM% B 1 2 3 4 5 6 7 8 9 10 11 12

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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? ”

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tatistical Questions

“ What is a winning strategy in a game of Roller Derby? ” “ Explain if a winning strategy guarantees success? ”

VS .

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* S

ame LS RL slope

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ame LS RL y-intercept

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ame r value

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ame r2 value

* WILDL

Y DIFFERENT S CATTERPLOTS

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HTTP:/ / MATHLETICIS M.NET/ ? P=160

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tudents explore permutation counting methods.

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tudents consider probability and randomness.

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Counting Sixlets Guided Questions Name:

• 1. List the color order of the candies in each of your strips.
• 2. What do you wonder about the colors?
• 3. What can you do numerically with the colors?
• 4. What patterns or groupings do you see?
• 5. How likely is it that a pattern or grouping will occur?
• 6. How many different candy strips are possible?
• 7. What is the probability of each pattern or grouping?
• 8. What is more likely?
• 9. Which one is more surprising to find?

* Candidate 1: ACT Math

S ubscore of 33

* Candidate 2: S

AT Math S ubscore of 550

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• u are the scholarship

committee chairperson. Who should get the scholarship?

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HTTP:/ / MATHLETICIS M.NET/ ? P=1065

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* Dot Plots * S

tem & 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 (HS S .ID) 2) Inferences & Conclusions (HS S .IC) 3) Conditional Probability (HS S .CP) 4) Making Decisions (HS S .MD)

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Books-

*Proofiness, Charles S

eife

*The Lady Tast ing Tea, David S

alsburg

*Damned Lies and S

t at ist ics, Joel Best

*How t o Lie wit h S

t at ist ics, Darrell Huff

*Naked S

t at ist ics, Charles Wheelan

*NCTM Developing Essent ial

Underst anding of S t at ist ics-Grade 9-12

*NCTM Implement ing t he Common Core

S t at e S t andards t hrough Mat hemat ical Problem S

• lving-High S

chool

*NCTM Developing Essent ial

Underst anding of S t at ist ics-Grade 6-8

*NCTM Bridging t he Gap Bet ween CCS

S and Teaching S t at ist ics

*NCTM Teaching Mat hemat ics t hrough

Problem S

• lving-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 Y

• ur Own Raffle

Free Throw S tats & Prob

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helby Aaberg UNL MTF , S cottsbluff NE saaberg@ sbps.net

*Jason Vitosh

UNL MTF , Falls City NE j vitosh@ fallscityps.org

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