Integrating Data, Statistics,
and Probability into other
Content Areas
Justin Hose
Tres Wells
Virginia Math Specialist Conference
Who are we?
• Justin Hose
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Elementary Math Specialist (K-5)
Frederick County Public Schools
PhD Candidate
Performs Professional Development
Teaches courses for teacher recertification
Previous Experience as Fifth Grade
Teacher
• Tres Wells
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Middle School Teacher
Albemarle County Public Schools
Math Specialist Certified
National Board Certified
Experience teaching grades 5-12
Objectives
• Identify Data, Statistics, and Probability SOL
• Examine reasons for teaching cross curricular
activities
• Apply math lessons in Language Arts, Science, and
Social Studies
Data, Statistics, and Probability SOLs
Data and Statistics
Tallies
Picture Graphs
Tables
Object Graphs
Pictographs
Bar Graphs
Stem-and-leaf plot
Line graphs
Mean
Median
Mode
Range
Circle Graphs
Probability
Predict Outcomes
Probability on a line between 0 and 1
Sample Space
Dependent Events
Independent Events
Combinations?
Why teach Cross-Curricular Lessons?
• Connections
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Connects to students’ prior knowledge
Makes the learning meaningful
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Learning is not done is isolated subjects
• Application
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Allows students to participate in applying concepts in different situations
Mirrors real world uses of academic knowledge
Think Da Vinci
• Saves Time
Social Studies, Language Arts, and Math
• Cryptography
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What is Cryptography?
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Crypto- Hidden
-graphy - writing
Why Teach Cryptography?
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Social Studies
• Rome – Julius Caesar
• World War II – Enigma
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Language Arts
• Patterns in words
• Letter combinations
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Computer Programming
Transposition
• Rearranging the letters of plain text
• the
• teh, het, hte, eth, eht
• amht nocpesct cna eb ndofu ewryevehr!
• Math concepts can be found everywhere!
Simple Substitution Cipher
• When one letter is replaced by another letter in the
alphabet.
• Can be organized
• Caesar Cipher
• Keyword or Keyphrase Cipher
• Or the letters can be random
• Chasing Vermeer by Bleu Balliet
Frequency Analysis
• What letters are used most frequently in the English language?
A
B
C
D
E
F
G
H
I
J
K
L
M
8.2 1.5 2.8 4.3 12.7 2.2 2.0 6.1 7.0 0.2 0.8 4.0 2.4
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
6.7 7.5 1.9 0.1 6.0 6.3 9.1 2.8 1.0 2.4 0.2 2.0 0.1
Compiled by H. Becker and F. Piper – Cipher Systems: The Protection of Communication
Science, Social Studies, Language Arts, Math
• Weather
• Temperature
• Humidity
• Air Pressure
• Precipitation
• Wind Speed
Winchester, Beijing, Buenos Aires
Fairness
• What does fair mean?
• Is fair always equal?
• What does it mean if we say that a game is
fair?
• What is fair pay?
Games
• Is each game fair?
• Rock, Paper, Scissors
• Odd person out
• Horse Race
Contact US
• Email: [email protected]
• Twitter: @TwoGuysMath
• Facebook: Two Guys Math Productions
• Google+: Two Guys Math Productions