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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

the diagram of the digestive system
Assiatu Reply
How does twins formed
William Reply
They formed in two ways first when one sperm and one egg are splited by mitosis or two sperm and two eggs join together
Oluwatobi
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Josephine Reply
Genetics is the study of heredity
Misack
how does twins formed?
Misack
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Hassan Reply
discuss biological phenomenon and provide pieces of evidence to show that it was responsible for the formation of eukaryotic organelles
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Yousuf Reply
the study of living organisms and their interactions with one another and their environments
AI-Robot
the study of living organisms and their interactions with one another and their environment.
Wine
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Joseph Reply
what is the blood cells
Shaker Reply
list any five characteristics of the blood cells
Shaker
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Abdullahi Reply
advantage of electronic microscope is easily and clearly while disadvantage is dangerous because its electronic. advantage of light microscope is savely and naturally by sun while disadvantage is not easily,means its not sharp and not clear
Abdullahi
cell theory state that every organisms composed of one or more cell,cell is the basic unit of life
Abdullahi
is like gone fail us
DENG
cells is the basic structure and functions of all living things
Ramadan
What is classification
ISCONT Reply
is organisms that are similar into groups called tara
Yamosa
in what situation (s) would be the use of a scanning electron microscope be ideal and why?
Kenna Reply
A scanning electron microscope (SEM) is ideal for situations requiring high-resolution imaging of surfaces. It is commonly used in materials science, biology, and geology to examine the topography and composition of samples at a nanoscale level. SEM is particularly useful for studying fine details,
Hilary
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Condoleezza Reply
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Aron Reply
Diversity of living thing
ISCONT
what is cell division
Aron Reply
Cell division is the process by which a single cell divides into two or more daughter cells. It is a fundamental process in all living organisms and is essential for growth, development, and reproduction. Cell division can occur through either mitosis or meiosis.
AI-Robot
What is life?
Allison Reply
life is defined as any system capable of performing functions such as eating, metabolizing,excreting,breathing,moving,Growing,reproducing,and responding to external stimuli.
Mohamed
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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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