*
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.
*
ROLLER%DERBY
TEAM%A
Roller Derby Rules
TEAM%B
1
Object of the Game: Be the first team to remove all pennies
from the board.
2
3
1. Place all 12 pennies somewhere on your team’s side of
the board.
4
5
2. Teams take turns rolling the dice and totaling the
numbers shown.
6
3. If either team has a penny in a row matching the total,
they take one penny off of that row.
7
8
4. The team to take their last penny off first, wins.
9
10
Play the best two out of three games.
11
12
*
* 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 r2 value
* WILDLY DIFFERENT
SCATTERPLOTS
*
HTTP://MATHLETICISM.NET/?P=160
* Students explore permutation
counting methods.
* Students consider probability and
randomness.
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
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
ProblemsThe 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
*