Overview and Background: Unit: Pig Unit

Marcia Uhls : Cheney USD 268

Mathematics. : Mathematics : Interactive Mathematics 1

Cheney : Grades 10 - 10 : Aug. - Jun.

Title:	Pig Unit
Topics:	Data, Probability
Time Frame:	5-6 weeks
Start Date:	Sep. - Nov.
Status:	Revised
Date Revised:

Other Designers:

Summary:
A dice game called Pig forms the core of this unit. Playing and analyzing Pig involves students in a wide variety of math activities. The basic problem for students is to find an optimum strategy for playing the game. In order to find a good strategy and prove that it is optimum, students work with the concept of expected value and develop a math analysis for the game based on an area model of probability.

Print Materials Needed:
I am using the IMP text to provide background information regarding the game of PIG and other games.

Resources:
Dice, spinners, paper bags, cubes, coins to flip.

Resource Attachments:

Internet Resource Links:

Notes:

Stage 1: Identify Desired Results

State:	KS       4
Title:	Mathematics
Standard(s):	Standard 4- Data Probability- The student applies probability theory to analyze the validity of arguments, draw conclusions, and make decisions in a variety of situations.

Understandings:
user	Theoretical probability and experimental probability do not always yield the same results. Theoretical probability can help predict outcomes.

Essential Questions:
User	How are the best strategies determined for games? When playing a game, is there a way to guarantee a win? Why don't we always get the results we expect?

Knowledge and Skills:

K
What is a game strategy?
Expected value.
Theoretical probability.
Experimental probability.

S
Develop and analyze strategies for games.
Calculate theoretical and experimental probabilities for a variety of situations.
Simulate situations using dice and cards.
Calculate expected value.
Create representations of probability.

Stage 2: Determine Acceptable Evidence

Assessment Summary:
Students will design a board game and calculate the probability of winning.

Task/Prompt: Board Game

Type:Performance Task

Topics: Data, Probability

Summary:
Students will design a board game and calculate the probability of winning.

Print Materials Needed:

Resources:

Resource Attachments:

Internet Resource Links:
Link 1: http://
Link 2: http://
Link 3: http://
Link 4: http://
Link 5: http://

Notes:

Student Directions:
You are a product designer for the MATH game company. Design a game with a theme related to your favorite family television show containing a game board, directions, and materials needed to play the game. You will determine expected probability of winning using 2 strategies. The goal of your game is to use probability and determine the expected results of different strategies. Your game should be creative, polished and well-crafted.

Other assessment evidence to be collected:

Stage 3: Plan Learning Experiences and Instruction

Learning Activities:

1. Introduce the game of Pig to students and allow time to play the game. What is the best strategy over the long run for the game of PIG?
2. Discuss what they know about probability and games? Brainstorm a list of what students know.
3. Play several games and analyze strategies' success. (Game of Pig,
Counters game)
4. Learn about the Area models used for probability.
5. Students will look at probability as fractions, area models, and percents.
6. Groups will develop their understanding of theoretical probability through experiments with dice and other simulations. They should revise and rethink their work and their thoughts on the Essential Questions on a continual basis throughout the activities of different games.
7. Design a math game and analyze the strategies used in the game.
8. Students evaluate each other's game using a rubric created by the class.