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  • Elementary School - Grades 4-6
    R=Reference/Experiment   S=Sample Project

    Arithmetics

    Find out how accurate people are at measuring things that are small, medium or large. R
    Measure the dimensions of different juice box products to find out which manufacturer has the largest volume of juice and uses the least amount of packaging material. R
    Determine which credit card would charge the least amount of interest with regard to the percantage of the balance paid. R R
    Conclude which is more economical to buy or to rent houses or apartments for different incomes. R
    How does travel time vary between different segments of a route? R
    Weight and number of raisins per ounce in a box of cereal R
    Determine whether the formula used by the Bowl Championship Series (BCS), college football ranking system, placed the most qualified teams in the National Championship game in 2003 and 2004. R R
    Middle/High School - Grades 7-12
    R=Reference/Experiment   S=Sample Project

    Traffic Problems

    Intelligent Intersections in Various Vehicle Traffic Networks and the Resulting Changes in Network Efficiency R R
    Determine what kind of street configuration will best remedy traffic problems in dense cities by comparing one-way and two-way street systems. R
    Is the Shortest Path Always the Fastest Path between Two Points? R

    Sports

    Use correlation analysis to determine which team batting statistic is the best predictor of a baseball team's run-scoring ability. R
    Determine if baseball players and/or teams are "streaky" or if their ups and downs can be explained simply by random luck. R
    Determine how the dimensions of a baseball stadium affect batting statistics. R
    Determine why baseball teams win more or fewer games than they are expected by the Pythagorean expectation R R
    Compare the distance a golf ball could be launched compared to the distance predicted by a mathematical equation. R

    Economics & Money

    Determine, using analysis of survey data that, how people manage their money R
    A Generalized Equation to Determine a Stock's Optimal Trailing Stop Loss using Linear Regression R R
    An Algorithm for Predicting Future Stock Market Fluctuations by Volatility and Arccosine Analysis R
    Investigate the relationship of the Golden Ratio / Phi Ratio (1.618:1) to price movements in the stock market. R R
    A Proven Mathematical System for Predicting Future Stock Market Fluctuations R R
    Juxtapositional analysis of money flow vs. momentum indicator R R
    The Effect of Nominal Interest Rates, Real Interest Rates, and Trade Balance on the Exchange Rate of the US Dollar R R

    Games & Game Theory

    Devise an algorithm for solving Rubik's cube, using three sets of moves that each accomplish a specific function. R R
    What's the Fastest Way to Solve Rubik's Cube? R R
    The best property to buy in the game of Monopoly R R
    See if the gaming theory invented by John von Neumann and Oskar Morgenstern help to improve your chances when you are involved in a gambling game as apposed to using more traditional factors such as luck, hunches, or counting cards. R R
    Determine whether, in a two-player zero-sum contest, a player would choose a seemingly more powerful strategy, or select a less obvious strategy, recommended by game theory, in an attempt to outwit an opponent. And which strategy would prove more fruitful? R R
    An Efficient Strategy for Making a Choice from a Finite Stream of Offers R R
    Which chess move in response to white's 1. e4 maximizes black's outcome? R R
    Rubik's cube: Determine if a relationship exists between the order of a move sequence and the cube's average variegation (degree of disorder). R R

    Codes & Encryption

    Explore the history of encryption, current methods, as well as the future of advanced codes R S
    Differential Cryptanalysis of MD5 R R R
    Cracking the Vigenere Cipher R R
    The Nimber-Simplex Graph as a Model to Compare LDPC and Turbo Codes R R R
    Assessing the Performance of the Viterbi Decoding Algorithm Using Convolutionally Encoded L2C GPS Data R R R R
    From the Nimber-Simplex Graph to Codes, Lattices, and Groups R
    Determine if a relatively effective encryption algorithm could be developed without the use of random numbers. R

    Nature

    An Autopicking Algorithm for the Detection of Seismic Event Arrivals by Using a Neural Network R
    The Utilization of Empirical Math Modeling in a Predator-Prey Relationship R
    Find mathematical relationships in nature. (1) in the number of flower petals and vegetable leaves, (2) in the leaf arrangement in plants, (3) in the number of spirals in plants, and (4) in shell shapes. R
    Study of mathematical patterns of earthquakes R
    The effects of color on the brain's ability to complete mathematical and logical problems. S
    RNA Alignment Scoring Based on Covariance R

    Technology

    See if all manufactured CDs have the exact same area and perimeter R
    Determine the optimal arrangement of cell phone transmission towers to generate the best service coverage and the most profit using a mathematical model. R
    The optimal location for a gas-powered electrical power plant R
    Demonstrate that If the number of detection zones can be larger than the number of sensors, then there is a mathematical algorithm to calculate the maximum number of detection zones given a number of sensors. R
    Practical Use of Nyquist Sampling Theorem in Image Reduction R R
    Useful Links
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