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7th Grade Probability Carnival
As we conclude our studies of Data and Statistics, we
will be doing a group project with the Kindergarteners
at BME. Your job is to create a carnival game through
which you can collect data to demonstrate your
understanding of probability, data charts and
statistics. Most of the work for this project will be
done in class, with the exception of anything requiring
tools to build, which must be done at home. Each day
you will complete a log of the activities you complete.
As a class, we will:
o Create an invitation to give out to the
Kindergarten students
o Develop and implement a survey to determine
possible games the Kindergarteners would want to
play
o Choose prizes and determine the unit rate for each
Your initial proposal for a game is
due:________________
Your proposal must include: (this will count as a quiz
grade)
o A name for your game and a picture of your
“inspiration”
o Directions for how to play the game
o A list of all materials needed to build the game
(Document 1)
o The theoretical probability of winning the game
Once your proposal is approved, you may then begin
building the game. Remember, this game must be STURDY
and FUNCTIONAL, since there will be approximately 65
Kindergarteners playing the game in addition to your
trial day. Any BUILDING using tools must be done at
home. In class, you can paint, decorate, and create
using tools you would be allowed to have in school.
Your final game is due:___________________
You must:
o Keep a running spreadsheet to show all materials
purchased and used to create your game (Document 1)
o Determine the amount of money you will charge each
person to play your game
o Determine the projected profit you will earn from
your game during the carnival
o Create an online survey for students to complete
when they are done with your game (we will do this
together in class)
We will then have a trial day where we test the games,
and then the actual carnival. Students will travel
around the room playing each game, while you collect
information.
Trial Day:_____________________
Carnival Day:___________________
During the carnival, you must collect data to
demonstrate the following:
o Experimental probability of winning your game (Ex:
amount of tries it takes to win, how many students
win the game)
o Profits gained
o Student feedback/survey of how much each student
enjoyed your game
Once the carnival is over, you will prepare a final
project to demonstrate your understanding of
probability and statistics. Your final project must
include: (this will count as a test grade)
o Financial Report for running your game (Document 1)
o A data display showing both your theoretical
probability and experimental probability
o A summary of the survey you gave students after
they played your game
o A summary of your game, what you would change, etc.
o Any other data you feel would be appropriate to
collect for your game
FINAL PROJECT DUE:____________________________
Names of Students in Group:
Name of Game:
Category
Requirement
Game
Proposal
Students developed a game
and submitted a picture of
their “vision”
Students wrote out explicit
directions/rules for playing
the game
Students developed a list
for all materials required
to create their game
(DOCUMENT 1)
Students determined the
theoretical probability of
winning their game
Game is sturdy and
colorful/neat
Game is playable, and has a
chance of winning
Students kept a running
Game
Construction
Possible
Points
5
2
3
15
15
10
3
Points
Earned
Data
Analysis
spreadsheet of costs
associated with creating the
game (Document 1)
Students determined the
price to charge each player
to ensure making a profit
(Document 2)
Students created a survey
for players to complete once
they are finished with the
game and a data display to
organize results
Students participated in a
trial day and collected data
to determine the projected
experimental probability
Students collected data
during the carnival
Students compiled a final
financial report of their
profits and expenses
(Document 2)
Students created a neat data
display to show the results
of their game
Students wrote a paragraph
explaining the outcomes of
their game and reflection
3
3
15
15
3
3
5
100
TOTAL
Document 1-Materials and Costs
Item Needed
Amount
Needed
Unit Price
Total Price
Document 2-Projected Profits
Goal: to make enough money during the Probability Carnival to
pay for the construction of our game, prizes, and to make a
profit.
BEFORE CARNIVAL
Cost of Construction of Game
Estimated # of Prizes Needed
(based on theoretical
probability)
Unit Price per Prize
Total Cost for Prizes
TOTAL COST
Cost per Player
Expected Income
Less Cost to Make Game
POTENTIAL PROFIT
AFTER CARNIVAL
Actual Players
Cost Per Player
INCOME
Less Actual Cost of Prizes
Less Construction Costs
TOTAL PROFIT
Date:______________________________
Goal:
What did we get accomplished?
Any concerns?
Goal for next time we work:
Date:______________________________
Goal:________________________________________________
What did we get accomplished?
Any concerns?
Goal for next time we work:
Date:______________________________
Goal:________________________________________________
What did we get accomplished?
Any concerns?
Goal for next time we work:
Reflection (at least three paragraphs): Now that your project
is completed and you have collected all your data, consider the
following questions when you write a reflection:




Was your game as successful as you thought it would be?
Would you change anything next time?
Was your experimental probability close to your theoretical
probability? Why or why not?
What did you learn from this project? What should I do
differently next year?
Go to the website Orientaltrading.com and create a list of 12
prizes to give out at the carnival. Use the spreadsheet to
determine the UNIT price of each, and how many you would need
for the carnival. There will be 65 students at the carnival.
Product
Price/Units
Unit Price
Amount
Total Cost
Choose the five prizes that are the most COST EFFICIENT that you
would like to give out at the carnival with the TOTAL COST for
65 of them.
Prize
Price/Unit
Unit Rate
Total Cost