Probability Resources (Explorer)
ClarisWorks and Acrobat files to download; videotapes. Mary, Mary Extraordinary (K-1); Birthday Problem (6-10); Statistics (7-12); Visualizing Probability (5-8); M&M Graphing and Probability (1-5); Probability: The Study of Chance (5-12); Importance of Trees in a Rural Area (5-12); Calculators in the Math Classroom (2-12).
Fun with Probability! The Probable Pen in the Cereal Box
A cooperative classroom project for grades K-9. During the last three weeks of April, 1996 project participants calculated the expected value of a simple probability problem via experimentation. This project (or one like it) will be repeated next year. Lesson plans and classroom materials are available on the site.
Lessons by Susan Boone Lessons developed by Susan Boone, a participant of GirlTECH '95, a program funded by CRPC Rice University and the RUSMP. A Functional Housing Market asks students to search the Internet for housing prices and compare them to the area of a house, thus deriving a linear equation. The Internet Pizza Server lets students order pizzas, calculating their area and determine the better buy. With Pop Clock, students look at the census site, study data and make predictions on future populations. Find the mean and median speeds for racers in the INDY 500. Study rates and speeds by using the Real-Time Traffic Report.
Peter Doyle's Online Documents Frustration solitaire; Some planar isospectral domains; The Evil Twin strategy for a football pool; Geometry and the Imagination; Random walks on weighted graphs, and applications to on-line algorithms; On the evolution of islands; The match set of a random permutation has the FKG property; Electric currents in infinite networks; Solving the quintic by iteration; On the bass note of a Schottky group; Random walk on the Speiser graph of a Riemann surface; On deciding whether a surface is parabolic or hyperbolic; Application of Rayleigh's short-cut method to Polya's recurrence problem; The number of Latin rectangles; Non-sexist solution of the menage problem; A 27-vertex graph that is vertex-transitive and edge-transitive but not 1-transitive; Solution to Montmort's `Probleme du Treize'; The expected number of rising sequences after a shuffle; Fibonacci phyllotaxis.
ECOS: The Educational Combinatorial Object Server Combinatorial objects are everywhere! How many ways are there to make change for $1 using unlimited numbers of coins of all denominations? Each way is a combinatorial object. But beyond that, it is "kind of like love: you know it when you see it, but it's hard to explain". This site is a teaching tool which generates mathematical permutations, subsets and combinations by having the user define the parameters of discrete objects. The Object Server returns a list of all objects that satisfy those parameters. This site can be used to learn more about many types of discrete mathematical structures, and is a part of Canada's SchoolNet.
WWW Virtual School Pre-Algebra Homepage - Highview Pre-Algebra (supervising teacher is Mr.Larson). Notes on: Order of Operations 1-1; Translating Phrases to Algebraic Expressions 1-3; Properties 1-4/2-4; Simplifying Algebraic Expressions 2-5; Integers 3-1; Adding and Subtracting Integers 3-2/3-3; Multiplying and Dividing Integers 3-8/3-9; Factors and Multiples 5-1; Adding and Subtracting Fractions 6-6/6-7; Multiplying Rational Numbers 7-1; Reciprocals and Dividing Rational Numbers 7-2; More About Exponents 7-6 Scientific Notation 7-7 Solving Two Step Equations 8-1 Functions 8-4 More Simplifying to Solve Equations 8-6 Solving Equations with variables on Both Sides 8-7 Ratio, Rate, Proportion 10-1/10-3 Percent, Decimals, and Fractions 10-4/10-7 Finding a Percent of a Number 11-1 Finding the Percent One 11-2 Percent of Increase or Decrease 11-5 Calculating Simple Interest 11-8 The Basic Counting Principle 14-1 Permutations and Combinations 14-2 Probability 14-3.
Generate Combinational Objects - Combinatorial Object Server (COS) Specify a type of combinatorial object, together with specific parameter values, and COS will return to you a list of 200 such objects. Generation pages: permutations, combinations, various types of trees, unlabelled graphs, linear extensions of posets, pentomino puzzle solutions, numerical partitions, and a host of other objects.
MATH 60 Finite Mathematics Supplementary problems and solutions for a class taught at the University of Missouri/Columbia. Problems deal with with probability, permutation, matrices, linear programming, closed/production economics models, game theory.
Applied Regression and Analysis of Variance (Statistics 423 - Univ. of Washington) Regression analysis. Problems in interpreting regression coefficients. Estimation, including two-stage least squares. Guided regression: building linear models, selecting carriers. Regression residuals. Analysis of variance. Nonparametric regression. Factorial designs, response surface methods.
Fun With Numbers - Integers and Real Numbers 250,000 digits of the square root of nine; the first 28,915 odd primes; the first even prime - the whole thing; 50,000 Random Numbers; the First 999 Factorials; Fractional approximations of pi; Powers of 2; 1.2 million digits of Pi (Project Gutenberg).
Finch 6th grade's Math Problem of the Week From the Lt. Col. Barker School (Dauphin Manitoba, Canada). Sample: "How many different combinations of coins can total exactly $0.40? Hint: there are more than 30 ways!"
Mathematical figures - Robert Dickau Pictures that are interesting for elementary combinatorics. Catalan number diagrams; Permutation diagrams; Shortest-path diagrams; locations of colors in RGB space; hypnotic spinning Moebius strip movie.
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