# Projects

Carnival Game:

What is the Probability that you will win?

Probability Project: Design Your Own Game

In this assignment, you will be designing and making your own game in pairs.  The game should be the type of game that you would play at a carnival or amusement park.   It should not be a game that already exists— your group must design and make a unique game.   You must be able to explain the probability of your game, so do not make your game too complicated! Final Products:

1. Game – Include all game boards, playing pieces, cards, balls, etc. for your game, so we can play the game in class.
2. Instructions - You must create a set of written or typed instructions to clearly explain your game.  They must be easy to follow so that anyone can pick them up, read them and begin playing your game.
3. Write-Up – See below.
Grading:See rubric (see back of page). The Write-Up
1. Introduction - Provide an overview of your game.  (1 Per Pair)
?      What type of game is it?  ?      What is the name of your game??      Where would you play this type of game?  ?      How much does it cost to play?  ?      What are the prizes if you win?
1. Instructions - Step-by-Step instructions for how to play the game. (1 Per Pair)

1. Game Description – What do you need to play the game? (1 Per Pair)
?      List all materials needed to play (dice, spinner, darts, ball, etc.)?      Draw picture of your game board, if necessary.
1. Probability Analysis (1 Per Pair)
?      Is the game fair?  Show the mathematical calculations for the expected value of winning the game and for losing the game. If you choose to have multiple prizes you must be able to calculate the expected value of winning each type of prize. ?      If the game is not fair, discuss why you chose you make it harder to win a prize.
1. Reflection – Each student must write a 1-page reflection  (1 Per Person)
?      What were your overall feelings about this project??      Did this project help you understand the probability any better??      How did you and your partner work together?

Variables and Rules Project

Due Monday November 30th

On a piece of computer paper or chart paper you are going to create your own sequence. You can use toothpicks, Popsicle sticks, or straws.             In order to receive a four you must:

• Create at least three stages using either toothpicks, Popsicle sticks, or straws.
•  Label each stage with a stage number.
• Create a table showing the relationship between the stage number and the total number of items in the stage.
• The table should include two rows and at least 6 columns. o
•  In the first column of the table you should write “Stage Number” and use a variable to represent the stage number. In the second row of the first column you should include the total number of items in that stage as well as choose a variable to represent the items.
•  Write down what your variables represent.
• Write a rule using the words such as, stage number and total number of toothpicks etc.
•   Write the rule algebraically.
•  Make sure you write neatly and check over your spelling.
• If you are having any difficulties refer to the example below or your class notes for guidance.

Example:

•     Stage 1                            Stage 2                              Stage 3  Stage number, ____ 1 2 3 4 5 Total number of _________, ____

___ = stage number

___ = total number of items used

Rule:

Rule written algebraically :

Dream House Project

Due Friday October 1, 2010

*This assignment will count as homework #12 and will also be graded as well as a project grade.

On a piece of graph paper, you are going to be creating the floor plan for your dream house.  In your dream house you must include, a bedroom, bathroom, living room, and kitchen.  You must also include three additional rooms of your choice. Include some hallways in your house as well to connect some of the rooms.

In order to receive a four on this project you must have the following:

•  A minimum of 7 rooms, including the bedroom, bathroom, living room, and kitchen. If you exceed the 7 rooms, it can only help your grade.
• Each room must be labeled with the name of the room.
• Each room must include the dimensions around each side, do not forget the units.
•  Each room must have the perimeter labeled inside the room showing P=___
•     Be as creative as possible and color this project in using crayons/colored pencils.
•    REMEMBER the scale. You can use 1 box = 1 foot or you can make the units equal more.  You have to include this key at the top of your graph paper so that I know the scale that you used.
• Make sure your dimensions make sense, for example the bathroom’s perimeter and dimensions should not be bigger than the master bedroom, etc.