Integrating Data, Statistics, and Probability into other Content Areas

Justin Hose

Tres Wells

Virginia Math Specialist Conference

Who are we?

• Justin Hose• 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• 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 SOLsData and StatisticsTalliesPicture GraphsTablesObject GraphsPictographsBar GraphsStem-and-leaf plotLine graphsMean MedianModeRangeCircle Graphs

ProbabilityPredict OutcomesProbability on a line between 0 and 1Sample SpaceDependent EventsIndependent EventsCombinations?

Why teach Cross-Curricular Lessons?

• Connections

• Connects to students’ prior knowledge

• Makes the learning meaningful

• Learning is not done is isolated subjects

• Application

• 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

• What is Cryptography?

• Crypto- Hidden

• -graphy - writing

• Why Teach Cryptography?

• Social Studies

• Rome – Julius Caesar

• World War II – Enigma

• Language Arts

• Patterns in words

• Letter combinations

• 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: twoguysmathproductions@gmail.com

• Twitter: @TwoGuysMath

• Facebook: Two Guys Math Productions

•Google+: Two Guys Math Productions