MATH GAMES MMVI

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MATH GAMESMMVI
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Contestant Rules and Participation

• All participants must complete registration
  packet prior to event participation. Packet
  includes vocabulary, formulas, and warm-up
  exercises.
• Teams will consist of 5 players determined by
  proximity.
• Event instructions will be located at each event.
• Each team will have a name and turn in all
  applicable materials in a folder labeled with
  that name.
• There are 5 events and 5 days in the week
  equating to one event per day. (45-60 minutes).
  Utilize event time to investigate and secure
  knowledge about the event.
• Reminder A team is a group of interacting
  individuals, sharing a common goal and the
  responsibility for achieving it.

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EVENT 1
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• Objective
• Find a correlation
• between dice rolls and
• properties
• on the game board.

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Monopoly

• 5 players
• 2 worksheets each
• Record number rolled
• Record location after roll
• At least 30 turns per player
• Be able to make some conjectures and create a
  display for team results
• Calculators, GSP, and Excel are options.

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• EVENT 2

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• Objective
• Find the probability of rolling a Yahtzee.
• Determine the easiest box to complete.
• Determine the most difficult box to complete.
• Consider If given one extra chance to roll what
  is needed, would this increase, decrease, or
  maintain probability?

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EVENT 3
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Calculator Simulation Or WAR
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Divide and Conquer

• WAR OBJECTIVE
• 2 players
• Find the likelihood of WAR
• Discover the probability of a double-WAR
• Determine how many cards can beat a 4. What about
  a Jack?
• In the four player version, what is the
  likelihood of a four-way war?
• Why does the winner, win?
• Why does the loser, lose?

• CALCULATOR
• SIMULATION OBJECTIVE
• 3 players
• TI 83/84 calculator
• Follow posted instructions from Texas
  Instruments.
• Try different simulations
• Question Is this tool useful in the discovery
  of probability?

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EVENT 4
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ONLINE INVESTIGATION
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ONLINE OBJECTIVE

• 5 players
• 5 computers
• Click on indicated links
• Investigate activities
• Write up whatever your teacher wants you to in
  regard to this activity!

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• Probability Simulation

Stick or Switch Investigate probabilities of
sticking with a decision, or switching.
Box Model Randomly selects and displays draws
from a box.
Coin Tossing Explore probability concepts by
simulating repeated coin tosses.
Hamlet Happens Verify that rare events happen
by drawing letters from a box.
Spinners Work with spinners to learn about
numbers and probabilities.
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FUN INVESTIGATION LINKS

• follow the story
• yahtzee simulation
• BBC Game Wheel
• probability application

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• EVENT 5

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REAL Probability Games
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• DISCLAIMER
• Casino game names can be
• replaced with alternatives for those who have an
  aversion for the sinful and for those with
  addictive personalities.
• Roulette -----gt colorful spinner
• Poker------gt sequential integers

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CHOICES
CRAPS
BLACK JACK
SLOTS
POKER
ROULETTE
KENO
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WHY?

• Poker and Black Jack deal with card probability
  and adding the multi-deck aspect.
• Slot machines and the wheel of fortune deal with
  spinner probability
• Craps and roulette have the dice as an additional
  element
• Keno is interesting and frequency might be
  something to investigate here.

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GOALS

• To find relationships between games and
  mathematics
• Gain technical vocabulary
• Data collection and presentation
• Using different vehicles to gain knowledge about
  probability
• Ultimately, to have fun while doing math
• SIDE NOTE All games chosen have online or
  computer versions. Depending on how far you want
  to take the technology aspect.

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THE END