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Math

Math Balderdash is a game of trivia knowledge and creative bluffing where teams guess definitions of words or phrases. Points are awarded for constructing or identifying the correct definitions. It offers a fun and engaging way to test math knowledge and creativity in a group setting. Created by Dr. Jeffrey Beyerl, this game is an exciting addition to math clubs and game nights, providing hours of entertainment for players of all ages.

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Math

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  1. Math BALDERDASH

  2. Balderdash • A game of trivia (knowledge) and bluffing (creativity) • teams. • Each round has a word or phrase: • Guess the definition of the word or phrase. • Collect the definitions and mix in the correct definition. • Read all the definitions, guess the correct one.

  3. Points • Construct the correct definition – 3 points • Choose the correct definition – 2 points • Somebody chooses your definition – 1 point each

  4. Example Prime Number

  5. Example Group 1: A number that is greater than 0 but less than 17. Group 2: A number that ends with the digit “1”. Group 3: A number that has exactly two factors. Group 4: A number satisfying .

  6. Example Group 1: A number that is greater than 0 but less than 17. Group 2: A number that ends with the digit “1”. Group 3: A number that has exactly two factors. Group 4: A number satisfying . Group C: A number divisible by only itself and 1. 3 points for each of groups 3 and 4!

  7. Example Group ?: Group ?: Group ?: A number that is greater than 0 but less than 17. A number that ends with the digit “1”. A number divisible by only itself and 1.

  8. Example Group C: Group 1: Group 2: A number divisible by only itself and 1. 1 3 2 A number that is greater than 0 but less than 17. A number that ends with the digit “1”. 4 1 point for group 2 2 points for each of groups 1, 2, and 3

  9. Parity

  10. Parity • If two integers are both even or both odd, they are said to have the same parity. • 26 and 18 have the same parity. • 3 and 1349837 have the same parity. • 3 and 26 have a different parity.

  11. Abundant Number

  12. Abundant Number • An integer which is less than the sum of all its proper divisors. • 12 is abundant: • 14 is not abundant: • 6 is not abundant:

  13. Scalene Triangle

  14. Scalene Triangle • A triangle whose side lengths are all different.

  15. Zero Divisor

  16. Zero Divisor • A nonzero object which can be multiplied by another nonzero object with zero resulting. • In both 2 and 3 are zero divisors:

  17. Hyperbolic Paraboloid • This is the classic “saddle point” shape.

  18. Perpetuity

  19. Perpetuity • An annuity that continues forever such as: • $100 every week forever (not just the rest of your life, but rather until the end of time) • The British government once offered these (do they still?). • Due to the time value of money, the present value is still finite.

  20. Inversor

  21. Inversor • A mechanical device which simultaneously traces out a curve and its inverse.

  22. Jerk

  23. Jerk • The third derivative of position with respect to time. • when give position.

  24. Jounce

  25. Jounce • The fourth derivative of position with respect to time. • when give position.

  26. Logistic function • Two horizontal asymptotes • Come from differential equations • Ex: with • Used to model many things, in particular something that is capable of spreading quickly but has a limiting factor: diseases, population, etc.

  27. ,

  28. , • The gamma function. • Generalizes the factorial function. • (Well, it’s off by one, but close enough) (It really is quite an important function; to compare it to a factorial is like comparing a Corvette to a bicycle)

  29. Module

  30. Module • An abelian group which can be acted upon by a ring in a fully distributive and associative manner.

  31. Triangular System

  32. Triangular System • A system of linear equations in which each equation has a different leading variable.

  33. A complexity class containing functions whose asymptotic growth rate is at most linear.

  34. Oil and Vingear

  35. Oil and Vingear • A method of using a quadratic polynomials with no cross terms. • Alice and separate the functions, but can Oscar?

  36. The group of integers modulo 6. • with addition appropriately defined.

  37. Math BALDERDASH The End

  38. Reference Information • Created in 2013 by Dr. Jeffrey Beyerl for use in the math club at the University of Central Arkansas • This is just a vanilla PowerPoint, but of course like anything you download from the internet: use at your own risk. • I started with the version on the MAA website for math clubs and expanded it.

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