Math for Fun: Activities for Humor and Relevance

AMATYC 2018Orlando, Florida

Attention of an Audience

Tedx Talk: Mark Robinson https://www.youtube.com/watch?v=BmEiZadVNWY

Time

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Attention of an Audience

Time

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Tedx Talk: Mark Robinson https://www.youtube.com/watch?v=BmEiZadVNWY

Strategies to bring them back…

Anything that will transfer responsibility • asking students questions• activities

Story telling with relevance (tell me why this matters) • we remember things better with an associated story or picture

Humor

Tedx Talk: Mark Robinson https://www.youtube.com/watch?v=BmEiZadVNWY

This is NOT a drill…

• Which of these square numbers also happens to be the sum of two smaller square numbers?

• A: 16• B: 25• C: 36• D: 49

Poll Everywhere

• Text “JULIE” to 37607

Poll Everywhere

• Text “LEAVE” to 37607

-6 -5 -4 -3 -2 -1 1 2 3 4 5 6

-6

-5

-4

-3

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-1

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-6 -5 -4 -3 -2 -1 1 2 3 4 5 6

-6

-5

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Downtown Miami

Computer Gaming Coordinate Systems

• Origin at upper left corner for positive x and positive y only• How do you use scaling and transformations to graph objects?

(0, 0) Positive x

Positive y

Credit Cards

Average Daily Balance (ADB)

$2000

$2100

$2170

$2370

4 days

12 days9 days

5 days

Nice application of weighted mean

Value (x) (f) Frequency

(Daily interest rate)

A little Classroom Gambling

A little Classroom Gambling…

On average (in the long run) if you play 4 times, you expect:

To lose 3 times (a net loss of -1, -1, -1 points)To win 1 time (a net win of x points)To break even, the net result should be 0 points.

( ) 1heart4

P = ( ) 3non-heart4

P =

-3 points+ x points

0 points

x = 3 points

Expected Value

( ) 1heart4

P = ( ) 3non-heart4

P =

1 34 4

x =

3x =

( )3 1( 1) 04 4

x− + =

Estimate Probability from Observations

https://www.youtube.com/watch?v=tk_ZlWJ3qJI

Mark Roper You Tube Channel

Neil DeGrasse Tyson discusses the Drake equation and finds fault with “Contact”

Drake Equation is a probabilistic argument to estimate the number of active extraterrestrial civilizations in the Milky Way. N = R * fp * ne * fl * fi * fc * L

where:N = The number of broadcasting civilizations.R = Average rate of formation of suitable stars (stars/year) in the Milky Way galaxyfp = Fraction of stars that form planetsne = Average number of habitable planets per starfl = Fraction of habitable planets (ne) where life emergesfi = Fraction of habitable planets with life where intelligent evolvesfc = Fraction of planets with intelligent life capable of interstellar communicationL = Years a civilization remains detectable

The following values were those used in the original formulation of the Drake Equation:

R = 10 fp = 0.5 ne = 2.0 fl = 1.0 fi = 0.01 fc = 0.01 L = 10,000

Better with Scientific Notation:

Today we’re going to introduce Exponential Functions

Commercial Breaks

When we see people smile, our nature is to smile back.

New Yorker Magazine, September 2018

“A Journey into My Colon and Yours”by Dave Barry

Introduction to the Metric System

“Dave Barry: A Journey into My Colon – and Yours,” Miami Herald, Feb. 22, 2008

“You mix two packets of powder together in a one-liter plastic jug, then you fill it with lukewarm water.

“Dave Barry: A Journey into My Colon – and Yours,” Miami Herald, Feb. 22, 2008

“You mix two packets of powder together in a one-liter plastic jug, then you fill it with lukewarm water. (For those unfamiliar with the metric system, a liter is about 32 gallons.)

“Dave Barry: A Journey into My Colon – and Yours,” Miami Herald, Feb. 22, 2008

“You mix two packets of powder together in a one-liter plastic jug, then you fill it with lukewarm water. (For those unfamiliar with the metric system, a liter is about 32 gallons.)

“Dave Barry: A Journey into My Colon – and Yours,” Miami Herald, Feb. 22, 2008

Then you have to drink the whole jug. This takes about an hour, because MoviPrep tastes -- and here I am being kind --like a mixture of goat spit and urinal cleanser, with just a hint of lemon.”

Statistics Textbook Order

Lessons 2 and 3• Frequency distributions• Histograms• Other graphs• Mean, median, mode, midrange• Standard deviation, variance

Lesson 1• Types of Data• Levels of measurement• Misuses of statistics• Population versus sample• Designing experiments• Types of Sampling• Sampling Errors

Introductory Statistics

Day 1

Posted Nov 14, 2017 at 9:18 AM COUNTY JAIL DOCKET (The following people were booked into the Volusia County Branch Jail on felony charges yet to be proven in court.):

Steven R. Smith, 34, Deltona, violation of probation; Justin J. Metcalfe, 28, Daytona Beach, robbery by sudden snatching; Ryan A. Manos, 37, Holly Hill, possession of a controlled substance (2), possession new legend drug without prescription, possession of paraphernalia; Kaite N. Nosavanh, 22, Bunnell, court violation (2), failure to appear (4); Paige N. Vargas, 25, DeLand, violation of drug court; Justin A. Deas, 24, Ormond Beach, possession of methamphetamine, possession of a controlled substance, possession of paraphernalia; Tommie L. Reitz, 21, Deltona, possession of marijuana in excess of 20 grams, possession of paraphernalia; Don J. Smith, 26, Orange City, possession of marijuana in excess of 20 grams; Christopher N. Weber, 36, Daytona Beach, possession of cocaine, trespassing on property other than a structure or conveyance; Shamica C. Benitez, 43, DeLand, court violation, failure to appear; Tahvion J. Ellis, 18, Jacksonville, possession of marijuana with intent to sell within 1,000 feet of a school; Rachel Y. Heller, 50, Eustis, court violation; Marco A. Rios, 29, DeLand, possession of a controlled substance without a prescription (2), possession of paraphernalia, court violation; David E. Brown, 23, Daytona Beach, court violation; Sharah J. Barenfanger, 26, Daytona Beach, court violation; Melanie Kerr, 30, Ormond Beach, violation of probation; Christopher M. Wood, 31, Deltona, grand theft motor vehicle; Javier Solis Ramos, 36, DeLand, giving false name causing adverse effect, possession of paraphernalia; Rhonda G. Coleman, 48, Raccoon, Kentucky, retail theft; Julie A. Holbrook, 37, Pikeville, Kentucky, retail theft; Crystal R. Kirkpatrick, 35, Deleon Spring, drug offense, grand theft more than $300 but less than $5,000, possession of paraphernalia; Eric S. Anderson, 58, Daytona Beach, habitual driving while license revoked; Steven A. Tarrats, 24, Deltona, domestic battery by strangulation, failure to appear;Mark L. Gourd, 43, City Unknown, court violation; Scott B. Olmstead, 49, Daytona Beach, child abuse;Donita S. Doby, 35, DeLand, burglary with assault or battery; Patrick E. Houle, 63, Daytona Beach, aggravated battery with a deadly weapon causing bodily harm.

Introductory Statistics

Day 1

Posted Nov 14, 2017 at 9:18 AM COUNTY JAIL DOCKET (The following people were booked into the Volusia County Branch Jail on felony charges yet to be proven in court.):

Steven R. Smith, 34, Deltona, violation of probation; Justin J. Metcalfe, 28, Daytona Beach, robbery by sudden snatching; Ryan A. Manos, 37, Holly Hill, possession of a controlled substance (2), possession new legend drug without prescription, possession of paraphernalia; Kaite N. Nosavanh, 22, Bunnell, court violation (2), failure to appear (4); Paige N. Vargas, 25, DeLand, violation of drug court; Justin A. Deas, 24, Ormond Beach, possession of methamphetamine, possession of a controlled substance, possession of paraphernalia; Tommie L. Reitz, 21, Deltona, possession of marijuana in excess of 20 grams, possession of paraphernalia; Don J. Smith, 26, Orange City, possession of marijuana in excess of 20 grams; Christopher N. Weber, 36, Daytona Beach, possession of cocaine, trespassing on property other than a structure or conveyance; Shamica C. Benitez, 43, DeLand, court violation, failure to appear; Tahvion J. Ellis, 18, Jacksonville, possession of marijuana with intent to sell within 1,000 feet of a school; Rachel Y. Heller, 50, Eustis, court violation; Marco A. Rios, 29, DeLand, possession of a controlled substance without a prescription (2), possession of paraphernalia, court violation; David E. Brown, 23, Daytona Beach, court violation; Sharah J. Barenfanger, 26, Daytona Beach, court violation; Melanie Kerr, 30, Ormond Beach, violation of probation; Christopher M. Wood, 31, Deltona, grand theft motor vehicle; Javier Solis Ramos, 36, DeLand, giving false name causing adverse effect, possession of paraphernalia; Rhonda G. Coleman, 48, Raccoon, Kentucky, retail theft; Julie A. Holbrook, 37, Pikeville, Kentucky, retail theft; Crystal R. Kirkpatrick, 35, Deleon Spring, drug offense, grand theft more than $300 but less than $5,000, possession of paraphernalia; Eric S. Anderson, 58, Daytona Beach, habitual driving while license revoked; Steven A. Tarrats, 24, Deltona, domestic battery by strangulation, failure to appear;Mark L. Gourd, 43, City Unknown, court violation; Scott B. Olmstead, 49, Daytona Beach, child abuse;Donita S. Doby, 35, DeLand, burglary with assault or battery; Patrick E. Houle, 63, Daytona Beach, aggravated battery with a deadly weapon causing bodily harm.

Total: 32

Male: 21 (66.7%)Female: 11 (33.3%)

Drug crime 14: (42.4%)Non-drug: 18 (57.6%)

• Descriptive statistics (mean, median, mode, midrange, SD, variance)

By “hand” in class and on computer for homework

• Frequency Distribution

• Histogram

• Talk about Distribution Shape

• Contingency Tables (conditional probability)

• Confidence Intervals

• Tests of Hypotheses0.660.34

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Questions?

Contact: Julie.miller.math@gmail.com

Introduce Probability and Odds

• https://www.geogebra.org/m/LZbwMZtJ coins• https://www.geogebra.org/m/UsoH4eNl (dice)• https://www.geogebra.org/m/hVktqZjN (binomial simulator)• https://www.geogebra.org/m/LM5Nl8aB#material/YJx90N9v (binomial simulator)• https://www.geogebra.org/m/DDbbMe7b (mean median mode)• https://www.geogebra.org/m/Fm9xemmn#material/aURRwmtm (random

number generator)• https://www.geogebra.org/m/LM5Nl8aB#material/J4nHDR2I (random number)• https://www.geogebra.org/m/LM5Nl8aB#material/HCTg5Jrs (normal curve)• https://www.geogebra.org/m/LM5Nl8aB#material/IvVDw5y3 (student-t vs. Z)• https://www.geogebra.org/m/LM5Nl8aB#material/MicaTyQA (card dealers)