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The game of pig

Intent

This activity introduces students to the game of Pig and to the study of probability. Students develop, test, and compare strategies for playing the game as they begin to consider the central problem of the unit.

Mathematics

Students will collect data about rolling a die as part of playing the game of Pig. After some experience with the game, they will be able to articulate that a strategy is a complete plan of action intended to reach a particular goal.

Progression

Students are introduced to the game of Pig.

Approximate time

35 minutes

Classroom organization

Groups of 4, then pairs, followed by whole-class discussion

Materials

Dice

Doing the activity

After students have read The Game of Pig and, in particular, “Your Assignment,” ask a few students to demonstrate how to play the game and how to keep score. Play a few turns as a class to clarify the rules. Be sure students understand the distinction between a single roll of the die and a turn . Each student should keep a record of the single rolls and the score for each turn. These records will allow students to review how the game progressed and to analyze the outcome of each turn.

After students play several turns in groups of four, have them play a game or two in pairs (as time permits) and experiment with playing strategies.

Discussing and debriefing the activity

Ask students to discuss some of the playing strategies they used. A basic strategy defines, for a given turn, when to roll again to try to earn more points and when to stop rolling to not risk losing the points already earned that turn. You might ask each group to post at least one of their strategies. When duplicate strategies appear, request alternate strategies.

After posing the Key Questions, emphasize that in mathematics a strategy is a complete plan of action intended to reach a particular goal. A strategy for playing Pig must tell whether or not to roll again in every circumstance in which there is a choice.

Key questions

What do you think a strategy is?

How do you use strategies in your daily life?

What were some high scores for individual turns?

How did you decide whether to roll again or to stop?

What do we mean by the “best” strategy?

How did your strategy change as you played Pig and understood the game better?

Does this group’s strategy seem complete and clear?

How can we compare different strategies?

How might you measure whether one strategy is any better than another?

Can another group test your strategy?

Questions & Answers

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Damian Reply
absolutely yes
Daniel
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Akash Reply
it is a goid question and i want to know the answer as well
Maciej
characteristics of micro business
Abigail
Do somebody tell me a best nano engineering book for beginners?
s. Reply
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
s.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
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Do you know which machine is used to that process?
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how to fabricate graphene ink ?
SUYASH Reply
for screen printed electrodes ?
SUYASH
What is lattice structure?
s. Reply
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
tahir
On having this app for quite a bit time, Haven't realised there's a chat room in it.
Cied
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Sanket Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
China
Cied
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
many many of nanotubes
Porter
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Yasmin
what is the function of carbon nanotubes?
Cesar
I'm interested in nanotube
Uday
what is nanomaterials​ and their applications of sensors.
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what is nano technology
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what is system testing?
AMJAD
preparation of nanomaterial
Victor Reply
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
Himanshu Reply
good afternoon madam
AMJAD
what is system testing
AMJAD
what is the application of nanotechnology?
Stotaw
In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
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anybody can imagine what will be happen after 100 years from now in nano tech world
Prasenjit
after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
Azam
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
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how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
Damian
silver nanoparticles could handle the job?
Damian
not now but maybe in future only AgNP maybe any other nanomaterials
Azam
Hello
Uday
I'm interested in Nanotube
Uday
this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15
Prasenjit
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, The game of pig. OpenStax CNX. Nov 19, 2007 Download for free at http://cnx.org/content/col10488/1.2
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