Casino Style Game

MDM4U Final Evaluation

Student Name: ______________________________________________________________________
Due Date:
Teacher
Course Name: Data Management, Grade 12 University Preparation Course Code: MDM4U
Total Pages: Worth: 30%
Final Grade:
Knowledge/
Understanding
20%
Thinking/Inquiry
30% Application
20% Communication
30%
Total points
Worth
(30%)

Part A
Points

/20

/30

/20

/30

/100

/15%

Part B
Points

/20

/30

/20

/30

/100

/15%

Total

/30%

Department Head: ______________________________ Principal: ______________________________
OVERALL CURRICULUM EXPECTATIONS COVERED:

Strand A: COUNTING AND PROBABILITY

1. Solve problems involving the probability of an event or a combination of events for discrete sample spaces;

2. Solve problems involving the application of permutations and combinations to determine the probability of an event.

Strand B: PROBABILITY DISTRIBUTIONS

1. Demonstrate an understanding of discrete probability distributions, represent them numerically, graphically, and algebraically, determine expected values, and solve related problems from a variety of applications;

2. Demonstrate an understanding of continuous probability distributions, make connections to discrete probability distributions, determine standard deviations, describe key features of the normal distribution, and solve related problems from a variety of applications.

Strand C: ORGANIZATION OF DATA FOR ANALYSIS (PART 2)

1. Demonstrate an understanding of the role of data in statistical studies and the variability inherent in data, and distinguish different types of data;

2. Describe the characteristics of a good sample, some sampling techniques, and principles of primary data collection, and collect and organize data to solve a problem.

Stand D: STATISTICAL ANALYSIS (PART 2)

1. Analyze, interpret, and draw conclusions from one-variable data using numerical and graphical summaries;

2. Analyze, interpret, and draw conclusions from two-variable data using numerical, graphical, and algebraic summaries;

3. Demonstrate an understanding of the applications of data management used by the media and the advertising industry and in various occupations.

Strand E: CULMINATING DATA MANAGEMENT INVESTIGATION

1. Design and carry out a culminating investigation* that requires the integration and application of the knowledge and skills related to the expectations of this course;

2. Design and carry out a culminating investigation* that requires the integration and application of the knowledge and skills related to the expectations of this course; (Part 2)

Communicate the findings of a culminating investigation and provide constructive critiques of the investigations of others.

MDM4U – Culminating Project (30% of final grade)

Culminating Project – Part 1 (15% of Final Grade)

Name: ____________________________ Due Date: ______________________________

· Part 1 of your culminating project will consist of creating a casino style game, with virtually no limitations.
o For example, using dice, a deck of cards, coins, or any other type of tool you can think of.
· All mathematical calculations are to be completed in a spreadsheet program (Excel) or other data management software.

Your report should have the following headings and each bullet should be contained under that heading:

Title Page (1 page)
· Straight forward; clear, concise, to the point.

Introduction (Approx. 0.5-1 page)
· Interest the reader by summarizing a game, similar to how a commercial would advertise a poker website.
· Introduce and explain the rules of your game fully. You should be very particular to what rewards (or penalties) will be given for particular outcomes. For example,
o “If you flip heads on the second trial, you win two times the number of money you bet…”

Analysis (1-3 pages)
· Distribution Type
o Describe your distribution as discrete or continuous and identify the distribution with justification. For example,
▪ “This game is considered to be a binomial distribution because…”
· Probability Distribution Table
o In Excel or another data management program, create a probability distribution table with the probability of each possible outcome calculated using the appropriate formula.
· Probability Distribution Graph
o Graph the information from your probability distribution table. Explain your results fully. For example,
▪ “Outcome x1 offers the best possible probability for the player to win, while the outcome x2 offers the best possible probability for the casino to win.”
· Expected Value
o Calculate the expected value in Excel or another data management program and explain what the casino should charge in order to have a fair game. You could also explain what a real casino may charge in order to make a profit. Use justification.

Conclusion (Approx. 0.5-1 page)
· Summarize your findings and relate them to why one would wish to run the game, or possibly play the game.
· Mention any flaws your game has in favour or against the casino.

Culminating Project – Part 1 Rubric

Name: ____________________________

Introduction (K/U: 20 marks)
1 2 3 4
Introduction

Game not advertised well or missing. Paragraph advertises your game with some effectiveness. Doesn’t catch the readers’ attention. Paragraph effectively advertises your game. Catches the readers’ attention effectively. Paragraph very effectively advertises your game. Catches the readers’ attention very effectively.
Rules

Rules are not described with any clarity or missing. Paragraph which describes the rules of the game with little clarity. Paragraph which describes the rules of the game with some clarity. Paragraph which describes the rules of the game with great clarity.
0 1 – 2 3 – 4 5 – 6
Conclusion

Choppy conclusion or missing. Decent conclusion which explains why you created your game and why you believe others would enjoy playing it. Good conclusion which explains why you created your game and why you believe others would enjoy playing it. Excellent conclusion which explains why you created your game and why you believe others would enjoy playing it.

GAME BOARD (T/I: 30 marks)
1 2 3 4
Creativity
So … so … it looks
like it was made up
at the last minute. Not bad. You had to think to
create this game. WOW!!! What a
great idea!
Originality
Looks like a game
from the store … Hmmm… I’ve seen something like this game
before. Not really new. Hmmm … something
different here … I have not seen this
idea before. Hey you should
patent this … Looks like you spent some time thinking this up.
Realism You’ve got to be
kidding … you expect me to play this game??? It’s okay … I know
you’re trying. You made me want to
bet. Had fun … Felt like I was going to win … I actually got
excited!!! Felt like I was at Vegas … Where is Wayne Newton
anyway???
Gambler
Interest Yawn… It’s okay, but …
I’d rather get something to eat. Hey it’s not bad …
With some work it could be great. I could play this
game forever. You should market this.

Presentation (Communication: 20 marks)

1 2 3 4
Introduction

Introduction was not clear Provides a clear introduction that states the objective and some key points Provides a focused introduction that clearly states the objective and key points Provides an effective introduction that captures the attention of the audience and clearly states the objective and key points
Organization
Presents the material in a poorly sequenced fashion Presents the material in a sequenced fashion Presents the material is a logical sequence that the audience can follow Presents material in a logical and effective sequence that is easy for the audience to follow
Visuals Uses visuals ineffectively Used some visuals to enhance the presentation Uses visuals to support and enhance the presentations Uses a variety of visuals effectively to support and enhance the presentation
Technology usage
Uses technology Uses technology to enhance the presentation Uses technology with other pertinent technologies to enhance the presentation Uses technology integrated seamlessly with other pertinent technologies to enhance the presentation effectively
Presentation of Data Provides raw data and summary statistics appropriately, not always including calculations, and labeled graphs Provides raw data and summary statistics, always including calculations, and/or labeled graphs Provides raw data and summary statistics, including all calculation and correctly labeled graphs Provides raw data and summary statistics, including all calculation and graphs clearly labeled and easy to read and understand.

Analysis (App: 30 marks)
1 2 3 4
Distribution Type

Distribution not identified correctly or missing. Distribution is described as continuous or discrete with little justification. Distribution is identified with little justification. Distribution is described as continuous or discrete with some justification. Distribution is identified with some justification. Distribution is described as continuous or discrete with excellent justification. Distribution is identified with excellent justification.
Probability Distribution Table

Probability distribution table created with wrong formula or missing. A probability distribution table is created, using the correct probability distribution formula. The values of x and the corresponding probabilities are explained somewhat. A probability distribution table is created, using the correct probability distribution formula. The values of x and the corresponding probabilities are explained well. A probability distribution table is created, using the correct probability distribution formula. The values of x and the corresponding probabilities are explained very well.
Probability Distribution Graph

A probability distribution graph is created and explained incorrectly or missing. A probability distribution graph is created using an appropriate method. The graph is explained somewhat. A probability distribution graph is created using an appropriate method. The graph is explained well. A probability distribution graph is created using an appropriate method. The graph is explained very well.
Expected Value

Expected value and cost to ensure game is fair are calculated incorrectly or missing. Expected value for the game is calculated and explained somewhat. The required cost of the game to ensure the game is fair is also calculated and explained somewhat. Expected value for the game is calculated and explained well. The required cost of the game to ensure the game is fair is also calculated and explained well. Expected value for the game is calculated and explained very well. The required cost of the game to ensure the game is fair is also calculated and explained very well.